CHARLESTON CUSD #1 MATH CURRICULUM GRADE KINDERGARTEN
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- Dustin Bryan
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1 CHARLESTON CUSD #1 MATH CURRICULUM GRADE KINDERGARTEN Kindergarten Math Assessment Framework Skill / Concept Standards Timeline Classroom Connections Assessment Number Sense /Computation Reading, Writing, and Representing Numbers 6A.K.01 Understands concepts of more, less, and equal. 6A.K.02 Counts objects to 0. 6A.K.0 Identifies/reads numerals to 0 in random order. 6A.K.04 Writes numerals to 20. 6A.K.05 Identifies ordinals first through fifth. First Quarter Saxon Lessons 5, 71, 7, 97, 99, 102, , Meetings Math center activities 51, 52, 56, 65, 67 Second Quarter Saxon Lessons 7-9, 1, 41, 61, 64-65, 91, 125, Meetings 2-4A, 5-25 Math center activities 17, 27, 2, 48, 67 Third Quarter Saxon Lessons 21, 5-6, 8-9, 48-49, 74-76, 98, 111 Math center activities 7, 14-16, 6, 8 Third Quarter Saxon Lessons 21, 5-6, 8-9, 48-49, 74-76, 98, 111 Handwriting practice sheets Grade Level Skills Inventory Oral assessment / Individual interview Teacher Observation Daily center worksheets/portfolio DIBELS 1 Grade Level Skills Inventory Oral assessment / Individual interview Teacher Observation Daily center worksheets/portfolio DIBELS 2 Grade Level Skills Inventory Oral assessment / Individual interview Teacher Observation Daily center worksheets/portfolio DIBELS Grade Level Skills Inventory Oral assessment / Individual interview Teacher Observation Daily center worksheets/portfolio DIBELS Second Quarter Saxon Lessons 28, 7, 46, 59 Grade Level Skills Inventory Oral assessment / Individual interview Teacher Observation Daily center
2 Skill / Concept Standards Timeline Classroom Connections Assessment Order and Compare Numbers Number Operations 6A.K.06 Orders and compares sets and sizes. 6B.K.01 Solves problems through number stories and by using models. First Quarter Saxon Lessons 7-9, 1, 21, 24, 5-6, 8, 42, 49, 61-62, 69, 71, 74, 98, 99, 102, 109, Math center activities, 7, 9, 14-17, 27-29, 6, 52, 56, 61 Fourth Quarter Saxon Lessons 18, 27, 44, 7, 89, 97, 102, 109, , 121, 127, 128, Meetings Math center activities 5, 51, 67 worksheets/portfolio DIBELS 2 Grade Level Skills Inventory Oral assessment / Individual interview Teacher Observation Daily center worksheets/portfolio DIBELS 1 Grade Level Skills Inventory Oral assessment / Individual interview Teacher Observation Daily center worksheets/portfolio DIBELS Measurement Use Measurement Tools and Units 7A.K.01 Identifies days of the week in order. 7A.K.02 Identifies months of the year in order. 7A.K.0 Tells time to the hour. First Quarter Meetings 1-25 Grade Level Skills Inventory Oral assessment / Individual interview Teacher Observation Daily center worksheets/portfolio DIBELS 1 Second Quarter Meetings 1-25 Grade Level Skills Inventory Oral assessment / Individual interview Teacher Observation Daily center worksheets/portfolio Third Quarter Saxon Lessons 45, 47 Meetings 17, 19, 21, 2, 25 Math center activities DIBELS 2 Grade Level Skills Inventory Oral assessment / Individual interview Teacher Observation Daily center worksheets/portfolio DIBELS
3 Skill / Concept Standards Timeline Classroom Connections Assessment 7A.K.04 Identifies and can express values for penny, nickel, and dime. 7A.K.05 Uses standard and non-standard units to measure lengths. 7A.K.06 Uses standard and non-standard units to measure weights. 7A.K.07 Uses standard and non-standard units to measure capacities. 7A.K.08 Compares and orders objects by size. Third Quarter Saxon Lessons 41-42, 44, 51, 59, 65, 67-68, 81, 91-92, 94, 96, 11, 116 Meetings 11-15, 16-19, Math center activities 17, 20, 28, 2, 41, 48, 50, 62, 64, Second Quarter Saxon Lessons 8-84, 87, 9, 106, 126, 11, 1, Math center activities 42-4, 70 Second Quarter Saxon Lessons 5, 72 Math center activities 2-4 Second Quarter Saxon Lessons Math center activity 9 Grade Level Skills Inventory Oral assessment / Individual interview Teacher Observation Daily center worksheets/portfolio DIBELS Grade Level Skills Inventory Oral assessment / Individual interview Teacher Observation Daily center worksheets/portfolio DIBELS 2 Grade Level Skills Inventory Oral assessment / Individual interview Teacher Observation Daily center worksheets/portfolio DIBELS 2 Grade Level Skills Inventory Oral assessment / Individual interview Teacher Observation Daily center worksheets/portfolio DIBELS 2 First Quarter Saxon Lessons 105, 112, 115 Grade Level Skills Inventory Oral assessment / Individual interview Teacher Observation Daily center worksheets/portfolio DIBELS 1
4 Skill / Concept Standards Timeline Classroom Connections Assessment Algebra Patterning Tables, Graphs, and Symbols 8A.K.01 Recognize and continue sequence in a simple pattern. 8A.K.02 Identifies the missing number in a sequence. 8A.K.0 Knows that a symbol can be used to stand for a missing number in a sequence. 8B.K.01 Draws pictures for addition and subtraction story problems. 8B.K.02 Graphs a picture on a pictograph. First Quarter Saxon Lessons 9, 25-26, 52, 55, 88, 101 Meetings, 6-25 Math center activities 4, 10-11, 21, 24, 7, 46, 49, 5-54, 61 Third Quarter Saxon Lessons 21, 5, 8 Meetings 7-21 Math center activities 15, 6 Fourth Quarter Handwriting practice 91-92, 94, 96, 112, 114, 116, 12, 1, 15 Grade Level Skills Inventory Oral assessment / Individual interview Teacher Observation Daily center worksheets/portfolio DIBELS 1 Grade Level Skills Inventory Oral assessment / Individual interview Teacher Observation Daily center worksheets/portfolio DIBELS Grade Level Skills Inventory Oral assessment / Individual interview Teacher Observation Daily center worksheets/portfolio DIBELS Fourth Quarter Saxon Lessons 121, 128 Grade Level Skills Inventory Oral assessment / Individual interview Teacher Observation Daily center worksheets/portfolio DIBELS Fourth Quarter Saxon Lessons 5, 82, 107, 15 Grade Level Skills Inventory Oral assessment / Individual interview Teacher Observation Daily center worksheets/portfolio DIBELS
5 Skill / Concept Standards Timeline Classroom Connections Assessment Writing, Interpreting, and Solving Equations 8B.K.0 Makes a real graph 8C.K.01 Records data on a chart Fourth Quarter Saxon Lessons 11, 17, 22, 58 Math center activities 6, 8, 26,, 5, 62 Grade Level Skills Inventory Oral assessment / Individual interview Teacher Observation Daily center worksheets/portfolio DIBELS Fourth Quarter Saxon Lesson 122 Grade Level Skills Inventory Oral assessment / Individual interview Teacher Observation Daily center worksheets/portfolio DIBELS Geometry Properties of Single Figures Coordinate Geometry 9A.K.01 Identifies, sorts, and compares geometric shapes. 9B.K.01 Uses positional words and phrases. 9B.K.02 Solve spatial problems. First Quarter Saxon Lessons 19, 2, 1-2, 4, 54, 105 Meetings 8, 10, 12, 15, 17, 19, 21, 2, 25 First Quarter Saxon Lesson 12 Meetings 22-2 First Quarter Saxon Lessons 15, 29, 6, 79, 86, 105, 108, 114 Math center activities 5, 12, 0, 40, 44, 57, 59, 6 Grade Level Skills Inventory Oral assessment / Individual interview Teacher Observation Daily center worksheets/portfolio DIBELS 1 Grade Level Skills Inventory Oral assessment / Individual interview Teacher Observation Daily center worksheets/portfolio DIBELS 1 Grade Level Skills Inventory Oral assessment / Individual interview Teacher Observation Daily center worksheets/portfolio DIBELS 1
6 Skill / Concept Standards Timeline Classroom Connections Assessment Statistical Methods and Probabilities Data Analysis 10A.K.01 Organize, describe, and make predictions from existing data. 10A.K.02 Identifies range and mode on a graph. 10B.K.01 Organize and interpret information on a graph. First Quarter Saxon Lessons 16-17, 4, 11 Math center activities 6, 8-9, 1, 26, 42 Grade Level Skills Inventory Oral assessment / Individual interview Teacher Observation Daily center worksheets/portfolio DIBELS 1 Fourth Quarter Math center activities, 5 Grade Level Skills Inventory Oral assessment / Individual interview Teacher Observation Daily center worksheets/portfolio DIBELS Third Quarter Saxon Lessons 5, 11, 17, 22, 58, 82, 107, 15 Math center activities 6, 8, 26,, 5, 62 Grade Level Skills Inventory Oral assessment / Individual interview Teacher Observation Daily center worksheets/portfolio DIBELS
7 CHARLESTON CUSD #1 MATH CURRICULUM GRADE 1 Grade 1 Math Assessment Framework Skill / Concepts Standards Timeline Classroom Connections Assessment Number Sense/ Computation Reading, Writing and Representing numbers Order and compare whole numbers 6A.1.01 Read, write and model equivalent representationswhole numbers up to 1,000. 6A.1.02 Recognize and write numerals from in random order 6A.1.0 Identify ordinal positions first through sixth 6A.1.04 Recognize and name common fractions (1/2, ¼, 1/) from pictorial models 6A.1.05 Identify and solve problems involving odd and even numbers. 6A.1.06 Solve problems involving 2 digit addition with and without regrouping 1st Quarter rd Quarter 1st Quarter 2nd Quarter 2nd Quarter 2nd Quarter Saxon lessons 2, 4, 10-1, 17,18,19, 20-1, 52, 58, 84, 11, 1 Meeting board 10-5 Saxon lessons,5, 8, 17, 20-1, 52 Meeting board Saxon lessons 11, 22 Saxon lessons 18, 55-1, 67, 88, 107, 109, 117, 122 Saxon lessons 51, 56, Saxon lessons 7-75, 81,86 Saxon Written Assessment(s) 1 all; 2 #1,#2; #2 &#; 5 #2, #; 6 #2, #; 7 #2; 8 #2, #; 11 #5; 18 #; DIBELS 1, 2, Saxon Written Assessment(s) 4 #4; 12 #; 16 #; 20 #2; 2 #2; DIBELS 1, 2, Saxon Written Assessment(s) 5 #4; 1 #5; DIBELS 1,2, Saxon Written Assessment(s) 16 #4; 19 #; 2 # DIBELS 1,2, Saxon Written Assessment(s) 15 #6; 20 # DIBELS 1, 2, Saxon Written Assessment(s) 17 #5; 18 #5 DIBELS 1,2,
8 Skill / Concept Standards Timeline Classroom Connections Assessment 6A.1.07 Order and compare whole numbers up to 100 using symbols (<, >, or =) 4th Quarter Saxon lessons 4, 7, 9, 20-1, 2, 92, 108 Saxon Written Assessment(s) 4 #4; 7 #2; 8 #2; 10 #4; 12 #; 1 #2; 14 #5; 19 #5; 20 #2; 2 #2, 24 #6 Saxon Oral Assessment #2 with lesson 20 part 2; # with lesson 0 part 2; #4 with lesson 40 part 2 Number Operations 6A.1.08 Counts by 1 s to 100; Skip count by 2 s to 0 and 5 s and 10 s to 100 and counts by 100 s to nd Quarter 6B.1.01 Solve word problems with basic addition and subtraction facts (0-12) 2nd Quarter Saxon lessons 20-1, 4,47, 54, 70, 71, 9 Saxon lessons 12, 15-1, 19, 21, 2, 25-1, 27,, 4,6, 44, 49, 76, 94, 101, 114 DIBELS 1,2, Saxon Written Assessment(s) 10 #; 11 #2; 12 #4; 15 #5; 19#5; #20; 22 #4; 26 #4 Saxon Oral Assessment(s) #1 with lesson 10 part 2 #9 with lesson 90 part 2 DIBELS 1,2, Saxon Written Assessment(s) 4 #1; 5 #1; 6 #1; 7 #1; 8 #1; 9 #1; 10 #1; 11#1; 12 #1; 14 #1; 15 #1; 16 #1; 17 1; 18 #1; 19 #1; 20 #1; 21 #1; 22 #1; 2 #1; 24 #1; 25 #1 Saxon Oral Assessment #7 with lesson 70 part 2 6B.1.02 Solve number sentences with basic addition and subtraction facts (0-12) 6B.1.0 Use the commutative and associative properties to complete basic fact sentences and solve problems. 2nd Quarter 2nd Quarter Saxon lessons12, 15-1, 19, 21, 2, 25-1, Saxon lessons 27,, 4,6, 44, 49, 76, 94, 101, 114 Saxon lessons 58,59, 94, 111, 114 DIBELS 1, 2, Saxon Written Assessment(s) 5 #2; 6 #1 &#; 7 #1 & #5; 8 #1 & #4; 9 #1; 10 #1; 11 #1; 12 #1; 14 #1; 15 #1, 16 #1; 17 #1; 18 #1 & #4; 19 #1; 20 #1; 21 #1; 22 #1; 2 #1  25 #1 & # DIBELS 1,2, Saxon Written Assessments 6 #; 16 #5 DIBELS 1,2,
9 Skill / Concept Standards Timeline Classroom Connections Assessment Measurement Use measurement tools 7A.1.01 Tell and write time to hour and half hour 2nd Quarter Saxon lessons 48, 57, 87 Saxon Written Assessment(s) 12 #6; 14 #6; 20 #5 Saxon Oral Assessment #6 with lesson 60, part 2 #12 with lesson 120 part 2 7A.1.02 Demonstrate a understanding of calendar concepts 7A.1.0 Name and tell how many days in a week, months in a year. 7A.1.04 Identify and express values of coins: penny, nickel, dime and quarter. 7A.1.05 Determine the value of a set of three coins (dimes, nickels, pennies) 7A.1.06 Add (count) coins up to $1.00 1st Quarter 1st Quarter 2nd Quarter rd Quarter 2nd Quarter Saxon lessons 1, 11, 5-1, 25-2, 65-2, 115-2, 15 Meeting board 1-15 Meeting board 1-15 Saxon lessons 16, 46, 98, 126 Saxon lessons 16, 46, 5, 98, 99, 11, 116, 126 Meeting board Saxon lessons 16, 46, 5, 66, 98, 99, 11, 116, 126 Meeting board DIBELS 1,2, Saxon Written Assessment(s) 2 #5 DIBELS Saxon Oral Assessment(s) #5 with lesson 50, part 2 DIBELS 1,2, Saxon Written Assessment(s) 10 #2, 12 #2; 19 #4; 21 #; 22 #; 24 #2; 26 # Saxon Oral Assessments #8 with lesson 80 part 2 #1 with lesson 10 part 2 DIBELS 1,2, Saxon Written Assessment 24 #2 Saxon Oral Assessment(s) Saxon Oral Assessment #8 with lesson 80 part 2 DIBELS 1,2, Saxon Written Assessment(s) 2 #2; 10 #2; 12 #2; 19 #4; 21 #; 22 #; 26 # DIBELS 1, 2,
10 Skill / Concept Standards Timeline Classroom Connections Assessment Algebra 7A.1.07 Measure length using non-standard units (linking cubes, coins) 7A.1.08 Measure length to nearest inch. 7A.1.09 Measure weight using standard and nonstandard units. 7A.1.10 Measure capacity using standard and nonstandard units. 7B.1.01 Estimate length with standard and non-standard units 1st Quarter rd Quarter 1st Quarter 2nd Quarter 2nd Quarter Saxon lessons 5-2, 62, 104 Saxon Written Assessment(s) 1 # Saxon lesson 97, 104 Saxon lessons 29, 9 Saxon lessons 50-1,110 Saxon lessons 5-2; 62, 104 DIBELS 1, 2, Saxon Written Assessment(s) 21 #2; 22 line for name) DIBELS 1, 2, Saxon Written Assessment(s) DIBELS 1,2, Saxon Written Assessment(s) DIBELS 1,2, Saxon Written Assessment(s) 1 #; 21 #2 DIBELS 1, 2, 8A.1.01 Describe, complete, extend, tell what is missing in a pattern. 8C.1.01 Represent simple mathematical relationships with number sentences. 8C.1.02 Solve one-step addition or subtraction equations that have a missing number. 1st Quarter 1st Quarter 4th Quarter Meeting board 1-15 Saxon lessons 12, 15-1, 25-1, Saxon lesson 94 Saxon Written Assessment(s) 7 #4; 1 #4 DIBELS 1, 2, Saxon Written Assessment(s) DIBELS 1, 2, Saxon Written Assessment(s) 6 #; 21 #4; DIBELS 1,2,
11 Skill / Concept Standards Timeline Classroom Connections Assessment Geometry Properties of single features Coordinate Geometry Data Analysis and Probabilty 9A.1.01 Recognize, name, and draw 2-D (circle, triangle, rectangle, square) 9A.1.02 Recognize and name dimensional figures: sphere, cylinder, cube, cone 9B.1.01 Describe relative positions in space ( e.g. is to the right of ) 9B.1.02 Identifies and describes congruent shapes and designs 10B.1.01 Read, interpret, and represent data in a pictograph. 10B.1.02 Read, interpret, and represent data in a bar graph. 10B.1.0 Read, interpret, and represent data in a tally chart. 10B.1.04 Read, interpret, and represent data in a table. 1st Quarter 2nd Quarter 2nd Quarter 2nd Quarter 1st Quarter 2nd Quarter 1st Quarter 2nd Quarter Saxon lessons 6,1, 24, 26,124 Saxon lessons112, Saxon lessons 1, 42, 60-1, 65-1 Saxon lessons 8, 86 Saxon lessons 5, 7, 9 Saxon lessons 7, 9, 10-1, 8, 40-1, 60-1, 65-1, 82, 118. Saxon lessons 70-1 Saxon lessons Saxon Written Assessment(s) 2 #1; #; 8 #; DIBELS 1,2, Saxon Written Assessment(s) 24 # DIBELS 1, 2, Saxon Written Assessment(s) 2 #; 6 #4; 1 #5; 15 #; DIBELS 1,2, Saxon Written Assessment(s) 21 #5 Saxon Oral Assessment #10 with lesson 100 part 2 DIBELS 1,2, Saxon Written Assessment(s) DIBELS 1, 2, Saxon Written Assessment(s) DIBELS 1,2, Saxon Written Assessment(s) DIBELS 1, 2, Saxon Written Assessment(s) DIBELS 1,2,
12 CHARLESTON CUSD #1 MATH CURRICULUM GRADE 2 Math Comprehension Grade 2 Skill / Concept Standards Timeline Classroom Connections Assessment 6A. Representations and Ordering Read, write, recognize and model equivalent representations of whole numbers and their place values up to 10, Identify and Write (in words and standard form) whole numbers up to 10,000. November Saxon Lessons 1, 4, 8, 76, 77 Math Meeting Board Daily Math Lessons Accelerated Math Objectives Use Base Ten Blocks including 1000 cube, flats, rods, and ones units November Saxon Lessons 1, 4, 8, 76, 77 Accelerated Math Objective # Daily Math Lessons Math Meeting Board Test Preparation and Practice Test 1 #9, 10, 12; 2 #11; 4 #9; 5 #10; 6 #10; 7 #9, 12; 8 #11; 9 #12; 10 #12 Saxon Assessment 1 #, 5; 2 #,4; #5; 8 #; 9 #6; 10 #5; 1 #2; 16 #, 5; 17 #5; 18 #5; 20 #2; 24 #5; DIBELS Test 1,2, Test Preparation and Practice Test 1 #9 and 12; 2 #11; #9; 4 #9,10; 5 #10; 7 #11; 8 #11; 9 #9; Saxon Assessment #; DIBELS Test 1,2, Recognize and compare common fractions represented with a pictorial model Represent multiplication as repeated addition Order and compare whole numbers up to 1,000 using symbols (><=) and words (greater than, less than, equal to and between). December Saxon Lessons 19, 2, 24, 4, 9, 41, 59 April- May Accelerated Math Objectives 29, 6, 48, 49, 50 Daily Math Lessons SEE SUPPLEMENTAL WORKSHEET Accelerated Math Objective 88 March Saxon Lessons 81 Accelerated Math Objectives 9 Daily Math Lessons Math Meeting Board Test Preparation and Practice Test #7; 4 #7; 5 #6; 6 #11; 7 #6; 8 #8; Test 10 # 5 Saxon Assessment #4; 5 #, 5; 6 #2; 8 #4; 11 #4; 1 # ; 15 # 4; 19 #4; 24 # 4; 25 # 5; DIBELS Test 1,2, Multiplication is introduced as skip counting, not repeated addition DIBELS Test 1,2, Test Preparation and Practice Test 8 #7; 10 #4; Saxon Assessment 18 # ; 20 # 4; 26 # 6 DIBELS Test 1,2,
13 Skill / Concept Standards Timeline Classroom Connections Assessment Identify and express values to a dollar. April Saxon Lessons 28, 46, 51, 86, 9 Test Preparation and Practice Test #5; 4 #6; 5 #11; 6 #6; 7 #11; 8 #6, 9; 9 #8; Math Meeting Board Accelerated Math Objectives 57 Saxon Assessment 7 # 4; 8 # 2; 9 #; 11 # ; 12 #, 6; 1 # 1,6; 14 # 1, 4,6; 15 # 6; 16 #1, 6; 17 # 6; 18 #4, 6; 19 #1; 20 #, 6; 22 #1, ; 2 #4; Identify and locate whole numbers on a number line. Daily Math Lessons December Saxon Math 4, 55-2, 56, 72, 99 Daily Math Lessons DIBELS Test 1,2, Test Preparation and Practice Test 1 #9 and #12; 4 #9; 6 #12 Saxon Assessments 12 # 2 Accelerated Math Objectives 5 DIBELS Test 1,2, 6B and 6C Computation, Operations, Estimation and Properties Solve problems involving descriptions of numbers, including characteristics and relationships (odd, even, factors/multiples, greater than, less than) Solve problems and number sentences involving addition and subtraction with two digit numbers and regrouping Solve problems involving the value of a collection of coins whose total value is $1.00 or less. May Math Meeting Board Saxon Math Daily Math Meeting and Problem Number 1 on every practice page Accelerated Math Objectives 24, 77, 78, 94 Daily Math Lessons Math Meeting Board April Saxon Lessons 61, 62, 87, 88, 89, 91 Math Meeting Board Accelerated Math Objectives 54, 55, 8, 84 Daily Math Lessons April Saxon Lessons 28, 51, 9 Math Meeting Board Accelerated Math Objectives 1, 42, 52, 69, 82, Daily Math Lessons Test Preparation and Practice Test 2 #10; #8,9; 4 #8,10; 5 #7, 10; 6 #8; 7 #11; 8 #6, 9 #9, 12; 10 #12 Saxon Assessments #1; 5 #1; 6 #1; 7 #1; 8 #1; 9 #1; 10 #1; 11 #1; 12 #1; 1 #1; 14 #1; 15 #1; 16 #1; 17 #1; 18 #1; 19 #1; 20 #1; 21 #1; 22 #1; 2 #1; 24 #1; 25 #1; 26 #1 DIBELS Test 1,2, Test Preparation and Practice Test 6 #; 7 #1, 2 and 11; 8 #1,2,4; 9 #1,, 4, 9; 10 #1,2 Saxon Assessments 14 #6; 15 #6; 16 #1, 6; 17 #1, 6; 18 #6; 19 #1; 20 #1, 6; 21 #6; 22 #1, 6; 2 #6; 24 #1, 6; 25 #6; 26 #1; DIBELS Test 1,2, Test Preparation and Practice Test #5; 4 #6; 6 #6; 9 #8 Saxon Assessments 8 #1; 1 #1, 6; 14 #1, 6; 15 # 6; 16 #1, 6; 17 #6; 18 #6; 19 #1; 20 #6; DIBELS Test 1,2,
14 Skill / Concept Standards Timeline Classroom Connections Assessment Model and apply basic multiplication facts (up to 10x10) Use the inverse relationships between addition and subtraction to complete basic fact sentences and solve problems (e.g., 5+=8 and 8-= ). May Saxon Lessons 10, 110, 115, 120, 125, 10 Daily Math Lessons Math Meeting Board Accelerated Math Objectives 72, 7 November Saxon Lessons 29 Accelerated Math Objective 61 Math Meeting Board Daily Math Lessons Test Preparation and Practice Test 8 #; 9 #2; 10 #10 Saxon Assessments 20 #4, 5; 21 #5; 20 #1, 6; 25 #1; 26 #6 DIBELS Test 1,2, Test Preparation and Practice Test 4 #11 Saxon Assessments 7 #6, DIBELS Test 1,2, Solve problems involving the additive identity of zero (e.g., +0=). March Saxon Lessons 10 Daily Math Lessons Math Meeting Board Test Preparation and Practice Test 2 #2, Saxon Assessment #6; 6 #6; DIBELS Test 1,2, Make estimates appropriate to a given situation with whole numbers. April Saxon Lessons 94, 95, 98 Accelerated Math Objectives 65, 66, 67, 91, 112, 117, 119 Test Preparation and Practice Test 10 # Saxon Assessments 21 #; 26 #5; DIBELS Test 1,2, 7A, 7B, 7C - Units, Tools, Estimation, and Applications Solve problems involving simple elapsed time. December Saxon Lesson 12 Accelerated Math Objective 110 Math Meeting Board Test Preparation and Practice Test 2 #9, Saxon Assessment 4 #5; DIBELS Test 1,2, Daily Math Lessons
15 Skill / Concept Standards Timeline Classroom Connections Assessment 7A, 7B, 7C - Units, Tools, Estimation, and Applications Select and use appropriate standard units and tools to measure length (to the nearest inch or cm), time (to the nearest 5 minute), and temperature (to the nearest degree). February Saxon Lessons 4, 56, 69, 78 Math Meeting Lessons Accelerated Math Objectives 0, 6, 71 Daily Math Lessons Test Preparation and Practice Test 1 #7; 2 #9; #10, 4 #12; 5 #5,8; 7 #7,8,10; 9 #5,11 Saxon Assessment 5 #2; 10 #, 4; 1 #4; 15 #,5; 16 #2, 4; 17 #,4; 19 #; 2 #; DIBELS Test 1,2, Solve problems involving the perimeter of a polygon with given side lengths or a given nonstandard unit (e.g., paperclip). April Saxon Lessons 104 Accelerated Math Objectives 86, 87 Daily Math Lessons Test Preparation and Practice Test 9 #11 Saxon Assessments 2 #2; DIBELS Test 1,2, Solve problems involving the area of a figure when whole and half square units are shown within the figure. May Saxon Lessons 129 Accelerated Math Objectives 75, 76 SEE SUPPLEMENTAL WORKSHEET DIBELS Test 1,2, Compare and estimate length (including perimeter), area, and weight/mass using referents. May Saxon Lessons 9, 5-2, 55-2, 75-2, 110-2, 115-2, 11 SEE SUPPLEMENTAL WORKSHEEET DIBELS Test 1,2, Determine the volume of a solid figure that shows cubic units. May SEE SUPPKEMENTAL WORKSHEET Accelerated Math Lessons 122 DIBELS Test 1,2, Solve problems involving simple unit conversions within the same measurement system for time and length. April Saxon Lessons 102 SEE SUPPLEMENTAL WORKSHEET DIBELS Test 1,2,
16 Skill / Concept Standards Timeline Classroom Connections Assessment Standard 8A Representations, Patterns and Expressions Determine a missing term in a pattern (sequence), describe a pattern (sequence), and extend a pattern (sequence) when given a description or pattern (sequence). November Saxon Lessons 2, 4, 6, 7, 8, 9, 11, 12 and about every other lesson thereafter Math Meeting Board Lessons 1-15 Accelerated Math Objective 54 Test Preparation and Practice Test 1 #8, Test 2 # 6, Saxon Assessment 1 # 2; 2 #; 4 #; 8 #; 10 #5; 24 #5 DIBELS Test 1,2, Daily Math Lessons Write an expression to represent a given situation. Ongoing Saxon Lessons Appears on every lesson #1 beginning with Lesson 22 Daily Math Lessons Test Preparation and Practice Test #9, Test 4 # 10, Test 7 # 11, Test 9 # 12 Saxon Assessments #1; 5 #1; 6 #1; 7 #1; 8 #1; 9 #1; 10 #1; 11 #1; 15 #1; 17 #1; 18 #1; 20 #1; 21 #1; 2 #1; 24 #1; 25 #1; 26 #1 DIBELS Test 1,2, 8C and 8D Writing, Interpreting and Solving Equations Represent simple mathematical relationships with number sentences (equations and inequalities). March Saxon Lessons 81 Daily Math Lessons Math Meeting Board Test Preparation and Practice Test 8 #7; 10 #4 Saxon Assessments 18 #; 20 #4 DIBELS Test 1,2, Solve one-step addition and subtraction equations that have a missing number or missing operation sign (e.g., + = 5 or 6 1 = 7. January Saxon Math Lessons 5, 44, 66, 101 Accelerated Math Objectives 2 Daily Math Lessons Test Preparation and Practice Test 4 # Saxon Assessments 8 #6; DIBELS Test 1,2, Math Meeting Board
17 Skill / Concept Standards Timeline Classroom Connections Assessment Solve word problems involving unknown quantities. March Saxon Lessons 8, 11, 22, 92, 110, 116, 117, 128, 1 Daily Math Lessons Test Preparation and Practice Test #9; 4 #8, 10; 5 #7; 6 #5, 7 #11; 8 #5; 9 #9, 12; DIBELS Test 1,2, Standard 9A- Properties of Single Figures and Coordinate Geometry Identify and describe two dimensional shapes (triangles, squares, rectangles, pentagons, hexagons, and octagons) according to the number of sides, and length of sides, and number of vertices. (Introduce: sketch shapes). February Saxon Lessons 6, 21 Accelerated Math Objectives 25, 26 Math Meeting Board Test Preparation and Practice 6 #10 Saxon Assessment 2 #5; 4 #6 DIBELS Test 1,2, Identify and describe three-dimensional shapes (cubes, spheres, cones, cylinders, prisms, and pyramids) according to their characteristics (faces, edges, vertices). May Saxon Lessons 101 Accelerated Math Lessons 28 SEE SUPPLEMENTAL WORKSHEET Test Preparation and Practice Test 9 #6 Saxon Assessment 21 #4 DIBELS Test 1,2, Locate and identify points using numbers and symbols on a grid, and describe how points relate to each other on a grid (e.g., is 2 units below, point A is units to the right of point B). May Saxon Lessons 126 SEE SUPPLEMENTAL WORKSHEET Test Preparation and Practice Test 10 #6 DIBELS Test 1,2, Identify whether or not a figure has a line of symmetry, and identify the line of symmetry. January Saxon Lessons 52 Accelerated Math Objectives 94 Daily Math Lessons Test Preparation and Practice Test 6 # 9 Saxon Assessment 12 #5 DIBELS Test 1,2,
18 Skill / Concept Standards Timeline Classroom Connections Assessment Introduce: Identify images resulting from flips (reflections), slides (translations), or turns (rotations) Introduce parallel lines May Saxon Lessons 124 SEE SUPPLEMENTAL WORKSHEET April Saxon Lessons 108 Accelerated Math Objectives DIBELS Test 1,2, DIBELS Test 1,2, Standard 9B Relationships Between and Among Multiple Figures Introduce: Identify the two dimensional components of a three dimensional object (e.g., a cube has square faces). May SEE SUPPLEMENTAL WORKSHEET DIBELS Test 1,2, Introduce: Identify a three-dimensional object from its net. May SEE SUPPLEMENTAL WORKSHEET DIBELS Test 1,2, Predict the result of putting shapes together (composing) and taking them apart (decomposing). March Use Tangrams and Pattern Blocks as well as Puzzles SEE SUPPLEMENTAL WORKSHEET DIBELS Test 1,2, Identify congruent figures by visual inspection. January Saxon Lessons 60-2 Accelerated Math Objectives 95 Daily Math Lessons Test Preparation and Practice Test 6 #7 Saxon Assessment 14 # 5 DIBELS Test 1,2,
19 Skill / Concept Standards Timeline Classroom Connections Assessment Determine the distance between two points on the number line in whole numbers. March Number Line is displayed on the wall. Saxon Lessons 4, 55-2, 56, 72, 99, 102 DIBELS Test 1,2, Saxon Assessment 12 # 2 Accelerated Math Objectives Daily Math Lessons Standards 10A, 10B- Data Analysis and Statistics Read and interpret data represented in a pictograph, bar graph, Venn diagram (with two circles), tally chart, or table Complete missing parts of a pictograph, bar graph, tally chart, or table for a given set of data. March Saxon Lessons 2, 17, 1,2, 9, 48, 66, 82, 11, 125, 14 Accelerated Math Objectives 44, 45, 46, Daily Math Lessons May Saxon Lessons 82, 11, 125 Accelerated Math Objectives 4, 6, 4 Daily Math Lessons Test Preparation and Practice Test 1 #4, 4 # 5; 7 # 9 and 12; 8 #10; 10 #9, 12 Saxon Assessment 7 #; 11 # 2; 15 # 2; 17 #2; 18 # 2; 19 # 5; 2 # 5; 24 # 2; 26 #2 DIBELS Test 1,2, Test Preparation and Practice Test 8 # 10, 10 #9 Saxon Assessment 18 # 2; 19 #5; 2 #5; 24 #2; 26 #2 DIBELS Test 1,2, Standard 10C Probability Classify events using words such as certain, likely, possible, and impossible. May Saxon Lessons 120-2, 15 SEE SUPPLEMENTAL WORKSHEET Test Preparation and Practice Test 10 #11 Saxon Assessment 25 # 4 DIBELS Test 1,2,
20 CHARLESTON CUSD #1 MATH CURRICULUM GRADE Grade Math Assessment Framework Skill / Concept Standards Timeline Classroom Connections Assessment 6A. Representations and Ordering Read, write, recognize and model equivalent representations of whole numbers and their place values up to 100, Identify and Write (in words and standard form) whole numbers up to 100, Recognize a fraction represented with a pictorial model Represent multiplication as repeated addition October Saxon Lessons, 9, 14, 22,25-1, 27,28,4,41,52,5,64,76,82,89,92, 96,10,109,112,124,14 October November Accelerated Math Objectives 2 Saxon Lessons - Saxon gradually teaches numbers up to 100,000 but doesn t get to 100,000 until the end of the year Saxon Lessons 17,21,26,7,54,61,99,111,11 Accelerated Math Objectives Math Literacy Kit November Saxon Lessons 116, 118, 1, 15 Accelerated Math Objectives -7 Saxon Assessment(s) 1 - #10, 2 - #7, #9, #10, - #2, - #2, #8, #10, 4 - #1, #2, #5, 5 - #2, #10, 6 - #2, #9, 7 - #8, 8 - #, #7, #8, 9 - #5, 10 - #9, 11 - #7, #10, 12 - #7, 14 - #7, #10 Saxon Assessment(s) 7 - #8, 14 - #7, 16 - #9, 22 - #7, 2 - #7 Saxon Assessment(s) 4 - #4, 5 - #6, 6 - #4, 7 - #, 8 - #6, 14 - #, 15 - #4, 19 - #7, 21 - #6, 22 - #6, 2 - #8, 25 - #6 Saxon Assessment(s) none Order and compare whole numbers up to 10,000 using symbols (><=) and words (greater than, less than, equal to and between) Order and compare decimals expressed using monetary units October Math Literacy Kit Saxon Lessons,8,1,4,47, 51 and 10-2 Accelerated Math Objectives 6, 7, December Saxon Lessons 1,2,96,106 Accelerated Math Objectives NA Saxon Assessment(s) 10 - #5, 1 - #9, 15 - #5, 17 - #8, 19 - #5, 22 - #8 Saxon Assessment(s) none Identify and locate whole numbers and halves on a number line November Math Literacy Kit Saxon Math Meetings Saxon Lessons 51, 54, 55, 99, 12, 126, 128 Saxon Assessments 25 - #, 26 - # & #7 Accelerated Math Objectives 85, 89
21 Skill / Concept Standards Timeline Classroom Connections Assessment Solve problems involving descriptions of numbers including characteristics and relationships (odd, even, factors/multiples, greater than, less than) November Saxon Math Daily Math Meeting and Problem Number 1 on every practice page Family Math Odd or Even Activity 6B and 6C Computation, Operations, Estimation and Properties Solve problems and number sentences involving addition and subtraction with regrouping Solve problems involving the value of a collection of bills and coins whose total value is $10 or less and make change Model and apply basic multiplication facts (up to 10x10) and apply them to related multiples of 10 (e.g., x4=12, 0x4=120) Use the inverse relationships between addition and subtraction to complete basic fact sentences and solve problems (e.g., 5+=8 and 8- = ) Solve problems involving the multiplicative identity of one (e.g., x1=) and the additive identity of zero (e.g., +0=). Accelerated Math Objectives 15,17,19,22,24,27,29,1,45,48,49,51, 55,56,6,65,71,7,79,81,108 December Saxon Lessons 52,5,76,82,89,106 Saxon Math Meeting Math Literacy Kit Accelerated Math Objectives Family Math Find the Digits Activity December Saxon Lessons 1,2,82,89,96,102,106 Saxon Math Meeting Accelerated Math Objectives Math Literacy Kit Saxon Lessons 19, 1,, 45-1, 47, November 49, 51-1, 56, 58, 60-1, 62, 70-1, 71, 7, 75-1, 85-1, 86, 88, 90-1, 95-1, 96, 98, 100-1, 101, 10, 104, 105-1, 105-2, 109, 110-1, 111, 11, , 120-1, 121, 12, 125-1, 125-2, Math Literacy Kit August - Saxon Lessons Each time a new set September of addition facts is introduced 21, 25-1, 1, 5-1, 41 Accelerated Math Objective 52 Math Literacy Kit November Saxon Lessons 5, 45-1, 59, 85-1 Math Literacy Kit Saxon Assessment(s) 11 - #9, 12 - #10, 1 - #10, 14 - #5, 15 - #8, 16 - #8 and #10, 17 #2 and #4, 18 - #1 and #9, 19 - #9, 20 - #1and #2 and #8 and #10, 21 - #4 and #8, 22 - #10, 2 - #2 and #10, 24 - #10, 26 - #2 Saxon Assessment(s) 26 - #2 Saxon Assessment(s) 1 - #5, 14 - #2, 16 - #1, 18 - #, 19 - #8, 21 - #10, 22 - #1, 2 - #1 and #6, 24 - #5 and #6, 25 - #1 and #7 and #10, 26 - #1 and #10 Saxon Assessment(s) 6 - #, 15 - #8, 16 - #10, 19 - #9, 20 - #8, 21 - #8 Saxon Assessment(s) - #7, 9 - #9
22 Skill / Concept Standards Timeline Classroom Connections Assessment 7A, 7B, 7C - Units, Tools, Estimation, and Applications Make estimates appropriate to a given situation with whole numbers Solve problems involving simple elapsed time in compound units (e.g., hours, minutes, days). December Saxon Lessons 6, 7, 1, 2, 45, 46, 52, 5, 55, 62, 72, 85, 88, 95, 106, 10, 15 Accelerated Math Objectives 50, 80, 8, 84, 87, 88, 90 January Saxon Lesson 10 Accelerated Math Objective 9 Saxon Assessment(s) 4 - #5, 7 - #7, 12 - #15, 15 - #, 20 - #9 Saxon Assessment(s) none Select and use appropriate standard units and tools to measure length (to the nearest inch or cm), time (to the nearest minute), and temperature (to the nearest degree) Solve problems involving the perimeter of a polygon with given side lengths or a given non-standard unit (e.g., paperclip). Math Literacy Kit January Saxon Lessons 6, 7, 1, 2, 4, 46, 49, 50, 54, 6, 71, 79, 85-2, 99, 114, 127, Math Meeting Lessons Accelerated Math Objectives 85, 91, 96 Measure 15 Family Math Math Literacy Kit January Saxon Lessons 49, 50, 85 Accelerated Math Objectives 106, 107, 108 Saxon Assessment(s) 1 - #4 - #6, 2 - # and #6, - #6, 4 - #8 and #10, 6 - #6 and #7, 7 - #5, 8 - #4, 9 - #, 10 - #4 and #6 and #7, 11 - #6 and #8, 12 - #4, 14 - #8, 15 - #9, 17 - # and #6, 18 - #5 and #7, 20 - #4 and #7, 21 - #5 and #7, 2 - #5, 25 - #4 and #5 Saxon Assessments 10 - #4, 14 - #8 Mathplayground.com choose geometry, then measuring, then rectangles Solve problems involving the area of a figure when whole and half square units are shown within the figure Math Literacy Kit February Saxon Lessons 10,15, 88 Accelerated Math Objectives 109 Mathplayground.com choose geometry, then measuring, then rectangles Saxon Assessments (not in square units only by measuring sides) Math Literacy Kit
23 Skill / Concept Standards Timeline Classroom Connections Assessment Compare and estimate length (including perimeter), area, and weight/mass using referents February Saxon Lessons 6, 7,10, 15, 2, 85, 88, 95 Accelerated Math Objectives 8, 84, 87, 88 Saxon Assessments 18 - #5, 20 - #1 8A Representations, Patterns and Expressions Determine the volume of a solid figure that shows cubic units Solve problems involving simple unit conversions within the same measurement system for time and length Determine a missing term in a pattern (sequence), describe a pattern (sequence), and extend a pattern (sequence) when given a description or pattern (sequence). Math Literacy Kit February Saxon Lessons 121, 125-1, 129 Math Literacy Kit February Saxon Lessons 9, 84, 85-2, 114 August - September Accelerated Math Objectives 91 Math Literacy Kit Saxon Lessons 2, 4, 6, 7, 8, 9, 11, 12 and about every other lesson thereafter Math Meeting Lessons 1-15 Saxon Assessment(s) 25 - #7 Saxon Assessments - none Saxon Assessment(s) 2 - #9 & #10, - #10, 5 - #10, 11 - #10 8C and 8D Writing, Interpreting and Solving Equations Write an expression to represent a given situation Represent simple mathematical relationships with number sentences (equations and inequalities). Accelerated Math Objective 54 January Saxon Lessons 11, 5-2, 66, 86, 56, 57, 108 Math Literacy Kit January Saxon Lessons 11, 5-2, 66, 86, 56, 57, 108 Math Literacy Kit Saxon Assessments - #2, 4 - #1 and #2, 5 - #2, 6 - #2, 7 - #1, 8 - #2, 9 - #1, 10 -#1, 11 - #1, 1 - #1, 14 - #1, 15 - #1, 16 - #1, 17 - #1, 18 - #1, 19 - #1, 20 - #1, 21 - #1, 22 - #1, 2 - #1 Saxon Assessments - #2, 4 - #1 and #2, 5 - #2, 6 - #2, 7 - #1, 8 - #2, 9 - #1, 10 -#1, 11 - #1, 1 - #1, 14 - #1, 15 - #1, 16 - #1, 17 - #1, 18 - #1, 19 - #1, 20 - #1, 21 - #1, 22 - #1, 2 - #1
24 Skill / Concept Standards Timeline Classroom Connections Assessment Solve one-step addition and subtraction equations that have a missing number or missing operation sign (e.g., + = 5 or 6 1 = 7. August - September Saxon Math Lessons 5, 44, 66, 101 Accelerated Math Objectives 2 Math Literacy Kit 9A Properties of Single Figures and Coordinate Geometry Solve word problems involving unknown quantities Identify, describe, and sketch two-dimensional shapes (triangles, squares, rectangles, pentagons, hexagons, and octagons) according to the number of sides, length of sides, and number of vertices. Find the Digits Family Math November Saxon Math Lessons 11, 5, 52, 5, 66, 67, 76, 82, 89, 9, 106, 126 Math Literacy Kit December Saxon Math Lessons 1, 7, 10-2, 12, 15-2, 17, 20-2, 21, 24, 2, 4, 5-1, 49, 58, 6, 81, 8, 100-2, 11, 115-2, 121, Getting into Shapes from Mailbox magazine Saxon Assessments 10 - #8, 21 - #4 Saxon Assessment(s) 6 - # Identify and describe threedimensional shapes (cubes, spheres, cones, cylinders, prisms, and pyramids) according to their characteristics (faces, edges, vertices). Math Literacy Kit December Saxon Math Lessons 115-2, 117, 121, Getting into Shapes from Mailbox magazine Math Literacy Kit Saxon Assessments 5 - #4, 24 - # Locate and identify points using numbers and symbols on a grid, and describe how points relate to each other on a grid (e.g., is 2 units below, point A is units to the right of point B) Identify whether or not a figure has a line of symmetry, and sketch or identify the line of symmetry. -D Matchup and What am I? Mailbox magazine October Saxon Math Lessons 129, 10-2 Family Math Animal Crossing Activity February Saxon Math Lessons 58, 61, 62, 64, 66, 69 Geoboards from Scholastic Saxon Assessment 26 - #8 Saxon Assessment(s) 12 - #, 1 - #
25 Skill / Concept Standards Timeline Classroom Connections Assessment Identify images resulting from flips (reflections), slides (translations), or turns (rotations). December Saxon Math Lessons Turning Shapes from Scholastic Saxon Assessments 2-#9 9B Relationships Between and Among Multiple Figures Leprechaun Shuffle Identify parallel lines. October Saxon Math Lessons Saxon Assessment(s) 26 - # Identify the two-dimensional Decmeber Saxon Math Lessons components of a three-dimensional object (e.g., a cube has square faces). Math Literacy Kit Identify a three-dimensional object from its net Predict the result of putting shapes together (composing) and taking them apart (decomposing). Decmeber Saxon Math Lessons 115-2, 117, 121, December Getting into Shapes from Mailbox magazine Saxon Math Lessons There are some activities in which students use pattern blocks but they never have to use pieces to make a specific design. Saxon Assessment(s) 24 - #4 Family Math Activities Create a Puzzle, and Tangrams. Also teach Holiday Tangrams activity and Getting into Shapes from Mailbox magazine A Shapely Show from Scholastic Identify congruent and similar figures by visual inspection Determine the distance between two points on the number line in whole numbers. Math Literacy Kit December Saxon Math Lessons 6, 12, 16, 17, 2 Geoboards from Scholastic November Saxon Lessons 51 and 12
26 Skill / Concept Standards Timeline Classroom Connections Assessment 10A, 10B Data Analysis, Statistics, and Probability Read and interpret data represented in a pictograph, bar graph, Venn diagram (with two circles), tally chart, or table Complete missing parts of pictograph, bar graph, tally chart, or table for a given set of data Determine the mode, given a set of data or a graph Classify events using words such as certain, most likely, equally likely, least likely, possible, and impossible Describe the chances associated with a context presented visually, including using the response format out of 4. August- September August- September August- September Saxon Lessons 2, 0, 40, 48, 50, 55, 61, 6, 70, 80,105 Accelerated Math Objectives 110, 111, 112 Family Math Venn Diagram Activities pages 59 and 60 Saxon Lessons 2, 0, 40, 48, 50, 55, 61, 6, 70, 80 Saxon Lessons none Mathgoodies.com/lessons/vol8/ mode.html November Saxon Lessons 80-2, 90-2 Mailbox magazine set of activities on probability Probability Math Literacy Kit November Saxon Lessons 80-2, 90-2 Brainpop.com choose basic probability rd Grade Probability Math Kit Saxon Assessment(s) 1 - #8 and #9, 2 - #5, 5 - #9, 7 - #9, 9 - #1 and #7, 11 #2 and #5, 12 - #8, 15 - #2 and #7, 17 - #10, 20 - #5, 21 - #, 22 - #5, 24 - #1 Accelerated Math Objectives 110, 111, 112 Saxon Assessment(s) 1 - #7, 2 - #4 and #5, 7 - #9, 22 - #5, 11 - #2 and #5, 12 - #8, 16 - #7, 17 - #9 and #10, 20 - #5, 21 - #, 22 - #5, 24 - #1, 25 - #8 Saxon Lessons - none Saxon Assessment(s) 19 - #, 21 - # Mailbox Magazine set of activities on probability Saxon Assessment(s) 19 - #, 21 - # rd Grade Probability Math Kit Mailbox magazine set of activities on probability Family Math Rolling Records and Fair Spinners activities
27 CHARLESTON CUSD #1 MATH CURRICULUM GRADE 4 Grade 4 Math Assessment Framework 1 st Quarter -Lessons nd Quarter- Lessons 1-60 rd Quarter- Lessons 61+ Skill / Concepts Standards Classroom Connections Assessment Read, write, and represent numbers Read, write, recognize, and model equivalent representations of whole numbers and their place values up to 1,000, Identify and write (in words and standard form) whole numbers up to 1,000, Read, Write, recognize, and model equivalent representations of fractions; divide regions or sets to represent a fraction. Saxon Lesson(s): 7, 16,, 4, sided dice game Class book on one million Saxon Lesson(s): 7,, 4 9 sided dice game A million Fish more or Less Saxon Lesson(s): 22, 26, 5, 6, 56, 61, 70, 74, 89, 95, 10, 104, 109, 112 Fraction strips and circles Math manipulative Overhead fraction bars Candy fractions Tests: 1, 2, 4, 6 Test: 1, 2,, 6, 7, 8 Tests: 5, 6, 8, 12, 1, 15, 16, 18, 20, 21, 22 Order and compare numbers Number line Classification of numbers Number operations Represent multiplication as repeated addition Order and compare whole numbers up to 100, Order and compare decimals through hundredths Order and compare fractions having like denominators with or without models Identify and locate whole numbers, halves, and fourths on a number line Solve problems involving descriptions of numbers, including characteristics and relationships (e.g., odd/even, factors/multiples, greater than, less than) Solve problems and number sentences involving addition and subtraction with regrouping and multiplication (up to three-digit by one digit. Saxon Lesson(s): 27 Use counters- math manipulatives Pete and repeat story Saxon Lesson(s): Investigation 1 Draw number line and place numbers. Saxon Lesson(s): 50,91, 102 Draw number lines and place value chart Saxon Lesson(s): 9 Math manipulatives Fraction pizza and pie Saxon Lesson(s): 7, 42, 54 Draw number lines Use rulers Saxon Lesson(s): 10,, 6, 45, 55, 56, 91, s chart games Color code different numbers Sink or swim game Saxon Lesson(s): 9, 1-16, 22, 25, 0, 1, 41, 4, 44, 48-52, 54, 57, 58, 60, 62, 94, 96 Black hole game Knock out game Pass it on problem Tests: 6, 7 Tests: 9 Test: 20 Test: 1, 15 Tests: 8 Tests: 2,, 4, 5, 6, 7, 8, 9, 10 Test: 2-2
28 Skill / Concepts Standards Classroom Connections Assessment Properties Solve problems involving the value of a collection of bills and coins whose total value is $ or less, and make change Model and apply basic multiplication and division facts (up to 12x12), and apply them to related multiples of 10 (e.g., x 9 = 27, 0 x 9 = 270, 6 = 2, 600 = 200) Model situations involving addition and subtraction of fractions with like denominators Solve problems involving the commutative and distributive properties of operations on whole numbers [e.g = 7 = 8, 27 x 5 = (20x5) + (7x5) Use the inverse relationships between addition/subtraction and multiplication/division to complete basic fact sentences and solve problems (e.g., 4 x = 12, 12 / = ). Saxon Lessons: 4, 8, 9, 1-15, 8 Math manipulatives with money Shopping with money activities Saxon Lesson(s): 28, 29, 2, 8, 42, 44, 46, 47, 67, 70, 71, 85, 86, 105, 110 Multiplications games with cards Flash cards Saxon Lesson(s): 107, 114 Manipulatives- fraction bars Saxon Lesson(s): 28, 108 Mini dry erase boards for problems Saxon Lesson(s): 25, 46, 47, 51 Write fact families Tests: 1, 2, 8, 9, 1, 14, 17, 18, 21, 2 Tests: 6-8, 10-16, 18-2 Tests: 2 Estimation Elapsed time Measurement tools Make estimates appropriate to a given situation with whole numbers Solve problems involving elapsed time in compound units (e. g. 1 hour and 40 minutes) that occur in the same half day (a.m.or p.m. only) Select and use appropriate standard units and tools to measure length (to the nearest ½ inch or ½ cm), time and temperature. Saxon Lesson(s): 42, 59, 9, 111 Rounding numbers using newspaper ads Saxon Lesson(s): 27 Use clock manipulatives Saxon Lesson(s): 18, 19, 21, 27, 9 Use rulers and helpful hints for measurement Tests: 5,6, 1, 14, 16, 19, 20, 22, 2 Tests: 6 Tests: 5, 6, 11, 12, 17, 18, 20, 22
29 Skill / Concept Standards Classroom Connections Assessment Area, perimeter, and circumference Estimation Volume Measurement conversions Patterns Write and Simplify expressions Algebraic expressions Tables and graphs Solve problems involving the perimeter of a polygon with given side lengths and the area of a square, rectangle, or irregular shape composed of rectangles using diagrams, models, and grids or by measuring (may include sketching a figure from its description) Compare and estimate length (including perimeter), area. Volume and weight/mass using referents Determine the volume of a solid figure that shows cubic units Solve problems involving unit conversions within the same measurement system for time, length, and weight/mass Determine a missing term in a pattern (sequence) describe a pattern (sequence) when given a description or pattern (sequence) Write an expression using letters or symbols to represent an unknown quantity Evaluate algebraic expressions with a whole number variable value (e.g., evaluate + m when m = 4) Identify or represent situations with well-defined patterns using words, tables, and graphs (e.g., represent temperature and time in a line graph). Saxon Lesson(s): 111 Design a garden activity. Use geoboards. *For an example refer to Saxon Math 6/5 Guess, Test and revise problems Tangram activities Saxon Lesson(s): 11 Solid figures manipulatives Saxon Lesson(s): , 77, 102, 106, 119 Kingdom of Gallons Draw a picture of story Math manipulatives Saxon Lesson(s):, 82 NLV website pattern activities Playing cards games for patterns *For an example refer to Saxon Math 4 Frogs on Pond activity Write equations to stories Saxon Lesson(s): 61 Write equations to stories *For and example refer to Saxon Math 4 Graphing activities Designing graphs from tables Graphing on the computer Read graphs from newspaper Tests: 6-9, 11, 1-15, Tests: 6, 8, 1-17, 1 Tests: 1-, 5, 6 Test: 8 Tests: 16, 17, 21, 2 Representations Translate between different representations (table, written, or pictorial) of whole number relationships. *For and example refer to Saxon Math 4 Graphing activities Designing graphs from tables Graphing on the computer Read graphs from newspaper
30 Skill / Concept Standards Classroom Connections Assessment Write equations and inequalities Solve equations and inequalities Properties of figures Represent simple mathematical relationships with number sentences (equations and inequalities) Solve for the unknown in an equation with one operation (e.g., 10 = + + 2, - 1 = ) Solve word problems involving unknown quantities Identify, describe, and sketch two-dimensional shapes (triangles, quadrilaterals, pentagons, hexagons, and octagons) according to the number of sides, length of sides, number of vertices, and right angles. Saxon Lesson(s): 12 Write equations from stories Saxon Lesson(s): 1, 2, 11, 12, 14, 16, 24, 41 Write and solve equations from stories Saxon Lesson(s): 1, 11, 25 Write and solve equations from stories Saxon Lesson(s): 96 Math manipulatives Pentominoes Draw different shapes Find shapes around the building Tests: 1, 2 Tests: 2-19, 21 Tests: -6, 9, 16, Tests: 14 Coordinates Symmetry Identify and describe threedimensional shapes (cubes, spheres, cones, cylinders, prisms. And pyramids) according to their characteristics (faces, edges, and vertices) Differentiate between polygons and non-polygons Graph, locate, identify points, and describe paths using ordered pairs (first quadrant) Identify whether or not a figure has one or more lines of symmetry, and sketch or identify all lines of symmetry. Saxon Lesson(s): 98, 100 Math manipulatives of solids Find solids around the building Saxon Lesson(s): 6 Draw polygons *For an example refer to Saxon Math 4 Games and art activities using the x and y axis. Saxon Lesson(s): 79 Computer lab activities Use of mirror Alphabet symmetry Tests: 14 Tests: 16, 18 Transformations Lines, segments, rays, and angles Identify images resulting from flips (reflections), slides (translations), or turns (rotations) Identify and sketch parallel and perpendicular lines. Saxon Lesson(s): 7 Computer lab games Math manipulatives Draw on graph paper Saxon Lesson(s): 2 Draw parallel and perpendicular lines Find lines in the classroom Tests: 5, 7, 18
31 Skill / Concept Standards Classroom Connections Assessment Relationship between two & three dimensional objects Composing and decomposing figures Congruency and similarity Distance Read and interpret data Create displays Statistics Probability Identify and sketch right angles Identify the two-dimensional components of a three-dimensional object Identify a three-dimensional object from its net Predict the result of composing or decomposing shapes or figures Identify congruent and similar figures by visual inspection Determine the distance between two points on the number line in whole numbers Read and interpret data represented in a pictograph, bar graph, line (dot) plot, Venn diagram (with two circles), tally chart, table, line graph, or circle graph Create a pictograph, bar graph, tally chart, or table for a given set of data Determine the mode and range, given a set of data or a graph Classify events using words such as certain, most likely, equally likely, least likely, possible, and impossible Describe the chances associated with a context presented visually, including using the response format out of 4 or ¾. Saxon Lesson(s): 5,8 Draw parallel and perpendicular lines Find lines in the classroom *For an example refer to Saxon Math 4 Paper folding Math manipulatives *For an example refer to Saxon Math 4 Paper folding Math manipulatives N/A Paper folding Math manipulatives Saxon Lesson(s): 66 Math manipulatives drawing Use rulers Story problems Saxon Lesson(s): 101 Survey using tallys and graph results Saxon Lesson(s): 6-8, 10 Survey using tallys and graph results Draw on dry erase board Valentine heart candy activity Dice Use sample bags of items Dice Use sample bags of items Tests: 5, 8 Tests: 8 Tests: 17, 21, 22 Test: 22
32 CHARLESTON CUSD #1 MATH CURRICULUM GRADE 5 Grade 5 Math Assessment Framework Skills / Concept Standards Timeline Classroom Connections Assessment Read, Write and Represent numbers Order and Compare numbers Number Line Read, write, recognize, and model equivalent representations of whole numbers and their place values up to 1,000, Read, write, recognize, model and interpret numerical expressions from a given description or situation Read, Write, recognize, and model equivalent representations of fractions, including improper fractions and mixed numbers Recognize, translate between, and model multiple representations of decimals, fractions less than one (halves, quarters, fifths, and tenths), and percents (o%, 50%, 75%, and 100%) Read, write, recognize, and model decimals and their place values through thousandths Represent multiplication as repeated addition Order and compare whole numbers up to 1,000, Order and compare decimals through hundredths Order and compare fractions having like or unlike denominators with or without models Identity and locate whole, halves, fourths, and thirds on a number line. 1 st quarter Saxon Lesson(s):, 5, 7, 12,, 48, 52, 78, 98 Place Value Through Billions wk 1 st quarter Saxon Lesson(s): 8, 11, 14, 16, 19, 21, 5, 40, 46, 78, 97 1 st quarter Saxon Lesson(s): 2, 2, 0, 7-41, 4, 46, 58-60, 6, 67, 71, 75, 79, 81, 82, 86, 87, 90, 91, 95-97, 101, 11, 116, 120 Red/Blue Plates (Spitz) Mixed Numbers wk Equivalent Fractions wk 2 nd quarter Saxon Lesson(s): 0, 67, 69-71, 106, 107 Red/Blue Plates (Spitz) 1 st quarter Saxon Lesson(s): 5, 61, 64-70, 100, 102, 104, 106, , 117, 118 Place Value Through Thousandths wk Tests: 1-11, 1-16 Test: 2-5, 8-10, 12, 19 Tests: 5, 8-11, 1-15, 17-2, Tests: 7, 9-11, 14-16, 19, 22, 2 Think Link 1, 2, Tests: 1-11, 14-16, 19, 22, 2 1 st quarter Saxon Lesson(s): 1, 78 Test:, 4 1 st quarter Saxon Lesson(s): 1, 4, 7, 12, 27 Comparing and Ordering Whole Numbers wk rd quarter Saxon Lesson(s): 66, 67, 69, 71 Comparing and Ordering Decimals wk 1 st quarter Saxon Lesson(s): 2, 8, 9, 59, 71, 116 Understanding Comparing Fractions wk Comparing and Ordering Fractions and Mixed Numbers wk 1 st quarter Saxon Lesson(s): 9, 1-16, 22, 25, 0, 1, 41, 4, 44, 48-52, 54, 57, 58, 60, 62, 94, 96 Test: 1-5, 7, 19, 22, 2 Tests: 14, 15, 19, 21, 22 Tests: 2,, 4, 5, 6, 7, 8, 9, 10 Test: 2-2
33 Fractions and Mixed Numbers on the Number Line wk Skills / Concept Standards Timeline Classroom Connections Assessment Classification of Numbers Number Operations Properties Estimations Identify and Express Ratios Proportions Percents Elapsed Time Solve problems involving descriptions of numbers, including characteristics and relationships (e.g., odd/even, factors/multiples, greater than, less than, square numbers) Solve problems and number sentences involving addition, subtraction, multiplication, and division using whole numbers Solve problems and number sentences involving addition and subtraction of decimals through hundredths (with or without monetary labels) Model situations involving addition and subtraction of fractions Solve problems involving the commutative, distributive, and identity properties of operations on whole numbers (e.g., 7 X 46 = 46 x 7, 270 x 5 = (200 x 5) + (70 x 5) Make estimates appropriate to a given situation with whole numbers, fractions, and decimals Identify and express ratios using appropriate notation (i.e., a/b, a to b), and identify equivalent ratios Solve problems involving proportional relationships, including unit pricing (e.g., one apple costs 20, so four apples cost 80 ) Read, write, recognize, and model percents (0%, 25%, 50%, 75%, and 100%) Solve problems involving elapsed time in compound units. 1 st quarter Saxon Lessons: 2, 4, 15, 18, 2, 25, 69, 78, 80 82, 89, 90, st quarter Saxon Lesson(s): 2, 6-8, 11, 1, 14, 16-18, 22, 24-26, 28, 29, 4, 5, 40, 42, 4, 46, 49-51, 54-56, 58, 62, 6, 72, 78, 81, 82, 86, 89, 90, 92, 94, 95, 99, 10, 104, 107, 111, 114, 117, 118 Design House (Gates) 1 st quarter Saxon Lesson(s): 1, 70, 7, 99, 102 Adding Decimals wk Subtracting Decimals wk 2 nd quarter Saxon Lesson(s): 41, 4, 65, 71, 75, 79, 91, 116 Tests: 1-7, 10, 14, 16-18, 20, 2 Tests: 1-2 Tests: 2-10, 1-16, nd quarter Saxon Lesson(s): 6, 15, 51 Tests:, 5-7 rd quarter Saxon Lesson(s): 62, 72, 94, 104 Using the Distributive Property wk rd quarter Saxon Lesson(s): 97 Understanding Ratios wk Equal Ratios wk 2 nd quarter Saxon Lesson(s): 46, 60, 86 Design House Plans (Gates) 1 st quarter Saxon Lesson(s): 0, 57, 71, 107 Finding a Percent of a Number wk Red/Blue Plates (Spitz) 1 st quarter Saxon Lesson(s): 28, 5 Elapsed Time wk Tests: 1, 14, 20 Tests: 20, 22 Tests: 7, 9-11, 15, 19, 22, 2 Tests: 7, 9-11, 15, 19, 22, 2 Tests: 11, 18
34 Skill / Concept Standards Timeline Classroom Connections Assessment Measurement Area, Perimeter, and Circumference. Estimation Volume Measurement Conversions Scale Drawings Patterns Write and Simplify Expressions Select and use appropriate standard units and tools to measure length (to the nearest ¼ inch or mm), mass/weight, capacity, and angles Solve problems involving the perimeter and area of a triangle, rectangle, or irregular shape using diagrams, models, and grids or by measuring or using given formulas (may include sketching a figure from its description) Compare and estimate length (including perimeter), area, volume, weight/mass, and angles (0 to 180 ) using referents Determine the volume of a right rectangular prism using an appropriate formula or strategy Solve problems involving unit conversions within the same measurement system for time, length, and weight/mass, including compound units (e.g., 5ft., 5in., 2lbs, and 2oz) Solve problems involving map interpretation (e.g., one inch represents five miles, so two inches represents ten miles) Determine a missing term in a sequence, extend a sequence, and identify errors in a sequence when given a description or sequence Construct and identify a rule that can generate the terms of a given sequence Write an expression using variables to represent unknown quantities. 2 nd quarter Saxon Lesson(s): 44, 65, 66, 10 Measuring and Classifying Angles wk Customary Units of Length wk Measuring with Fractions of an Inch wk Metric Units of Length wk Customary Units of Capacity wk Metric Units of Capacity wk Customary Units of Weight wk Metric Units of Mass wk Fake/Bake Cake (Spitz) 2 nd quarter Saxon Lesson(s): 5, 72, 115 Finding Area wk Areas of Squares and Rectangles wk Areas of Parallelograms wk Areas of Triangles wk Finding Perimeter wk Tests: 9, 10, 14, 16, 19 Tests: 11-1, 15, 17, 18, 2 Design House Plans (Gates) rd quarter Saxon Lesson(s): 72, 10 Tests: 9, 11, 17, 18, 21 rd quarter Saxon Lesson(s): 10 Volume wk Gummy Worms/Skittles (Spitz) 1 st quarter Saxon Lesson(s): 28, 44, 47, 65, 66, 74, 77, 85, Design House Plans (Gates) rd quarter Investigation 11 Design House Plans (Gates) Using Ratios in Road Maps R157 Using Ratios in Road Maps P157 Using Ratios in Road Maps E157 Test: 21, 22 Tests: 6, 7, 9, 10, st quarter Saxon Lesson(s): 1 Tests: 1-, 20 1 st quarter Saxon Lesson(s): 1 Find a Rule wkrules Tables and Graphs wk rd quarter Variables and Expressions wk Translating Words into Expressions wk Tests: 20 1,2,
35 Skill / Concept Standards Timeline Classroom Connections Assessment Algebraic Expressions Change Representations Equations and Inequalities Properties of single figures Circles Evaluate algebraic expressions with a whole number variable value (e.g., evaluate m + m + when m = Demonstrate, in simple situations, how a change in one quantity results in a change in another quantity (e.g., inputoutput tables) Translate between different representations (table, written, or pictorial) of whole number relationships Represent problems with equations and inequalities Solve for the unknown in an equation with one operation (e.g., 2 + n = 20, n 2 = Solve word problems involving unknown quantities Classify, describe, and sketch twodimensional shapes (triangles, quadrilaterals, pentagons, hexagons, and octagons) according to the number of sides, length of sides, number of vertices, and interior angles (right, acute, obtuse) Identify and describe threedimensional shapes (cubes. Spheres, cones, cylinders, prisms, and pyramids) according to their charac. (faces, edges, vertices) Solve problems using properties of triangles (e.g., sum of interior angles of a triangle is 180 ) Identify, describe, and sketch circles, including radius and diameter. rd quarter Solving Equations wk Tests: -6, 9, 16, st quarter Saxon Lesson(s): 7 Find a Rule wk rd quarter Given the number of cats, draw a graph showing the number of pizzas, hot dogs, and hamburgers when hot dogs equal ½ pizza and hamburgers equal 2 times cats. 1 st quarter Saxon Lesson(s): 11, 14, 16, 21, 5 Solving Equations wk 1 st quarter Lesson(s): 10, 11, 14, 16, 18, 19, 21, 5 Solving Addition and Subtraction. Equations wk Solving Multiplication and Division Equations wk Write an Equation wk Properties of Equality wk 1 st quarter Saxon Lesson(s): 11, 16, 21, 5 Solving Addition and Subtraction Equat. wk Solving Multiplication and Division Equations wk Properties of Equality wk Write an Equation wk 2 nd quarter Saxon Lesson(s): 2, 6, 45, 115 Measuring and Classifying Angles wk Polygons wk rd quarter Saxon Lesson(s): 8 Solid Figures wk Identifying Space Figures R146 wk Identifying Space Figures P146 wk Tests: 20 Tests: -6, 8-10, 12, Tests: 2-6, 8-1, 19 Tests: -6, 8-10, 12, 19 Tests: 7-11, 15, 21 Tests: 17, 18, 21 2 nd quarter Classifying Triangles wk Tests: 8, 11 2 nd quarter Saxon Lesson(s): 5 Segments and Angles Related to Circles wk Tests: 11, 12
36 Skill / Concept Standards Timeline Classroom Connections Assessment Coordinates Symmetry Transformations Lines, Segments, Rays, and Angles Relationship between 2 Dimensional Objects Graph, locate, identify points, and describe paths using ordered pairs (first quadrant) Predict the result of composing or decomposing shapes or figures Identify, describe, and predict results of reflections, translations, and rotations of two-dimensional shapes Identify and sketch parallel and perpendicular lines. rd quarter Investigation 10 Graphing Ordered Pairs wk 4 th quarter Saxon Lesson(s): 105 Symmetry wk rd quarter Saxon Lesson(s): 88 Transformations wk 2 nd quarter Saxon Lesson(s): 1, 45 Geometric Ideas wk Tests: Tests: 21, Tests: 7, 17, Identify and sketch right angles. 2 nd quarter Saxon Lesson(s): 2, 6 Tests: 7, 9, 1, Identify the two-dimensional components of a three-dimensional object. rd quarter Draw the net of a cylinder or rectangular prism Views of Solid Figures wk Composing and Decomposing figures Congruency Distance Identify the three-dimensional object from its net Predict the results of the composing or decomposing shapes or figures Identify congruent and similar figures by visual inspection Determine if figures are similar, and identify relationships between corresponding parts of similar figures Determine the distance between two points on a horizontal or vertical number line in whole numbers. rd quarter Views of Solid Figures wk rd quarter Saxon Lesson(s): 115 Investigation 12 2 nd quarter Saxon Lesson(s):2 Test: 8 2 nd quarter Saxon Lesson(s): 2 1,2, Congruence and Similiarity 1 st quarter Saxon Lesson 12 Given a number line, how far apart are and 17
37 Skill / Concept Standards Timeline Classroom Connections Assessment Read and Interpret Displays Create Displays Statistics Read, interpret, and make predictions from data represented in the pictograph, bar graph, line (dot) plot, Venn diagram (with two circles), chart/table, line graph, or circle graph Create a pictograph, bar graph, chart/table, or line graph for a given set of data Determine the mode, range, median (with an odd number of data points), and mean, given a set of data or a graph. 1 st quarter Saxon Lesson(s): 12, 27, 8, 74, 77, 9, 98, 108 Investigations 5, 8, 9 Circle Graphs wk Line Graphs wk Bar Graphs wk 1 st quarter Lesson(s): 1, 9 Make a Graph wk Choosing the Appropriate Graph wk Investigations 5, 6, 8, 9 2 nd quarter Saxon Lesson(s): 50, 84 Mean, Median, Mode, and Range wk Test: 6, 8, 10, 2 Test 1 Test 11-1, 18, 2 Probability Counting Principles Solve problems involving the probability of a simple event, including representing the probability as a fraction between zero and one Apply the fundamental counting principal in a simple problem (e.g., How many different combinations of onescoop ice cream cones can be made with flavors and 2 types of cones?) 2 nd quarter Saxon Lesson(s): 57 Investigation 6 Expressing Probability as a Fraction wk rd quarter N/A Listing Outcomes wk Test: 12, 12, 2
38 CHARLESTON CUSD #1 MATH CURRICULUM GRADE 6 Grade 6 Math Assessment Framework Skill / Concept Standards Timeline Classroom Connections Assessment Model Whole Numbers Order and Compare Whole Numbers Read, write, recognize, and model equivalent representations of whole numbers and their place values Read, write, recognize, model, and interpret numerical expressions from a given description or situation Read, write, recognize, and model equivalent representations of fractions, including improper fractions and mixed numbers Recognize, translate between, and apply multiple representations of decimals, fractions, percent (less than 100%), and mixed numbers (halves, quarters, fifths, and tenths) Read, write, recognize, and model equivalent representations of decimals and their place values through thousandths Represent repeated factors using exponents Order and compare whole numbers Order and compare decimals through thousandths Order and compare fractions and mixed numbers having like or unlike denominators 1 st Qtr Saxon Lessons: 9, 10, 12, 16, 2, 8, 92, 100 Tests: 1-5, 7, 8, 10, 2 1 st Qtr Saxon Lessons: 1, 2, 11, 1, 15, 7 Test: 2 1 st Qtr Saxon Lessons: 6, 17, 22-26, 29, 0,, 5, 40, 48, 5-57, 59, 61-6, 66-68, 70, 72-77, 87, 92, 94, 95, 99, 115, 117 Calculator wk Fractional Part wk Fraction of a Number Activity 2 nd Qtr Saxon Lessons:, 5, 41, 7-76, 94, 99, 115 Percents wk Converting fractions wk Converting decimals wk Calculator wk 2 nd Qtr Saxon Lessons: 4, 5, 40, 41, 44, 46, 51, 7-76, 87, 92, 94, 99 Tests: 2,, 5-7 Tests: 5, 7-9, 15-2 Tests: 7-12, 14, 16 2 nd Qtr Saxon Lessons: 8, 7, 92 Test: 2 Calculator wk 1 st Qtr Saxon Lessons: 9, 14 Test: 2 2 nd Qtr Saxon Lessons: 44, 50, 76 Tests: 11, 14, 16 1 st Qtr Saxon Lessons: 17, 56, 76 Fractional Part wk Number Line Activity Tests: 5, 7, 1, 15, 16 Number Line Identify and locate decimals, fractions, and mixed numbers on a number line. 1 st Qtr Saxon Lessons: 17, 50 Calculator wk Number Line wk Test: 11
39 Skill / Concept Standards Timeline Classroom Connections Assessment Classifications of Numbers Number Operations Solve problems involving descriptions of numbers, including characteristics and relationships (e.g., odd/even, factors/multiples, greater than, less than, square numbers, primes) Solve problems and number sentences involving addition, subtraction, multiplication, division using whole numbers Solve problems and numbers sentences involving addition, subtraction, and multiplication of decimals. 1 st Qtr Saxon Lessons: 4, 9, 10, 14, 19-21, 25, 29, 0, 8, 54, 65, 67, 7, 89,92, 100, 104, 112 Prime or Composite Activity 1 st Qtr Saxon Lessons: 1-8, 11-15, 19, 21, 25, 29, 6, 8, 4, 45, 46, 49, 50, 52, 65-68, 7, 80, 81, 85, 89, 100, 102, 104, 111, st Qtr Saxon Lessons: 1-, 7, 8-40, 4, 46, 5 Multiplication of Decimals wk Tests: 2, 4-6, 8-10, 12-15, 18, 2 Tests: 1-11, 17, 22 Tests: 1-5, Solve problems involving addition and subtraction of fractions and mixed numbers, and express answers in simplest form Identify and apply order of operations to simplify numeric expressions involving whole numbers. 1 st Qtr Saxon Lessons: 24, 26, 6, 42, 4, 48, 55-57, 59, 61, 6, 72 1 st Qtr Saxon Lessons: 5, 84, 92 Calculator Spelling Activity Tests: 5-22 Tests: 1-, 6, 7, 11, 14-17, 19-2 Properties Estimation Identify and Express Ratios Solve problems involving the commutative, distributive, and associative properties of operations on whole numbers [e.g., (5x7) x2=5x (7x2)] Make estimates appropriate to a given situation, and analyze what effect the estimation method used has on the accuracy of results Identify and express ratios using appropriate notation (i.e., a/b, a to b, alb), identify equivalent ratios, and explain ratios that represent a given situation Solve problems involving proportional relationships, including unit pricing (e.g., seven apples cost $1.40, so nine apples cost $1.80) Read, write, recognize, and model percents from 0% to 100% 1 st Qtr Saxon Lessons: 1, 2, 5 1 st Qtr Saxon Lessons: 16, 46, 52, 89 Tests: 4-8, 10, 18 1 st Qtr Saxon Lessons: 2, 80, 8, 88,101 Ratios/Proportionals/Percents wk Ratios wk 1 st Qtr Saxon Lessons: 6, 22, 41, 77, 8, 85, 88, 105, 117, 119 Proportions wk 2 nd Qtr Saxon Lessons:, 41, 75, 94, 99, 105, 115, 119 Percents wk Tests: 5, 6, 11, 12, 17, 18, 20, 22 Tests: 17, 21, 22 Tests: 5, 9, 16, 19
40 Skill / Concept Standards Timeline Classroom Connections Assessment Solve number sentences and problems involving percents. 2 nd Qtr Saxon Lessons:, 41, 75, 94, 105, 115, 119 Percents wk New Deck % Activity Tests: 9-16, 21, 2 Measure and Compare Quantities Select and use appropriate standard units and tools to measure length, mass/weight, capacity, and angles Solve problems involving the perimeter and area of a triangle, parallelogram, or irregular shape using diagrams, models, and grids or by measuring or using given formulas (may include sketching a figure from its description) Compare and estimate length (include perimeter), area, volume, weight/mass, and angles (0degree to 180degree) using referents Determine the volume of a right rectangular prism using an appropriate formula or strategy. 1 st Qtr Saxon Lessons: 7, 17, 69, 71, 78, 97, 98 Estimation Zone Activity 1 st Qtr Saxon Lessons: 8, 1, 60, 71, 79, 86, 91, 10, 107 Finishing Your Bedroom Activity rd Qtr Saxon Lessons: 86, 118 Area wk rd Qtr Saxon Lesson: 82 Volume wk Fish Tank Activity Tests: 2-4 Tests: 2-4, 6-2 Test: 8 Tests: 17, 18, 20, 22 Algebraic Expressions Solve problems involving unit conversions within the same measurement system for time, length, and weight/mass, including compound units (e.g., 5ft 5in, 2lbs 2oz) Determine a missing term in a sequence, extend a sequence, and construct and identify a rule that can generate the terms of a given sequence (e.g.,, 6, 9, Is explained by the rule n, for n>1) Determine a rule having two operations from an input-output table (e.g., multiply by and add 2). 2 nd Qtr Saxon Lessons: 2, 78, 81, 95, 102, 11, 114 Tests: 16, 17, 21, 2 1 st Qtr Saxon Lesson: 10 Tests: 2, 4, 6 4 th Qtr Saxon Lesson: 96
41 Skill / Concept Standards Timeline Classroom Connections Assessment Select a table of values that satisfies a linear equation, and recognize the ordered pairs on a rectangular coordinate system Translate between different representations (table, written, or pictorial) of whole number relationships Represent problems with equations and inequalities. 4 th Qtr Saxon Lesson: 96 Comparing Costs Activity 4 th Qtr Saxon Lesson: 96 1 st Qtr Saxon Lessons: 11, 1, 15, Solve for the unknown in an equation with one operation (e.g., 8x=24, m-2=25) 1 st Qtr Saxon Lessons:, 4, 11, 1, 15, 4, 69, 8, 85, 87 Tests: 1-4, 6, 7, 9-11, Solve word problems involving unknown quantities. 1 st Qtr Saxon Lessons: 11, 1, 15 Tests: 1-18, 20-2 Geometric Concepts Classify, describe, and sketch regular and irregular two-dimensional shapes according to the number of side, length of sides, number of vertices, and interior angles Identify and describe threedimensional shapes (cubes, spheres, cones, cylinders, prisms, and pyramids) according to their characteristics (faces, edges, vertices) Solve problems using properties of triangles and quadrilaterals (e.g., sum of interior angles of a quadrilateral is 60 degrees) Identify, describe, and sketch circles, including radius, diameter, and chord Graph, locate, identify points, describe paths, and plot figures using ordered pairs (first quadrant). 2 nd Qtr Saxon Lessons: 60,64, 71, 9 Geometry Riddles Activity 1 st Qtr Saxon Lesson: 6 Manipulative Activity rd Qtr Saxon Lessons: 79, 98 Polygons/Diagonals Activity Quilt Activity Tests: 1-16, 19, 20 Tests: 18, 19 Test: 22 1 st Qtr Saxon Lessons: 27, 47, 86 Tests: 15-19, 22 1 st Qtr Saxon Lessons: 1, 96 Tests: 15-19, 22
42 Sill/ Concept Standards Timeline Classroom Connections Assessment Collect, Organize and Analyze Data Identify, describe, and predict results of reflections, translations, and rotations of two-dimensional shapes Identify and sketch parallel, perpendicular, and intersecting lines Identify and sketch acute, right, and obtuse angles Identify a three-dimensional object from its net Recognize which attributes (such as shape, perimeter, and area) change or don t change when plane figures are composed, decomposed, or rearranged Identify congruent and similar figures by visual inspection Determine if figures are similar, and identify relationships between corresponding parts of similar figures Determine the distance between two points on a horizontal or vertical number line Read, interpret, and make predictions from data represented in a bar graph, line (dot) plot, Venn diagram (with two circles), chart/table, line graph, or circle graph Compare different representations of the same data Create a bar graph, chart/table, line graph, or circle graph with common referents (1/4, 50%,.75) for a given set of data Determine the mode, range, median, and mean, given a set of data or a graph Solve problems involving the probability of a simple event, including representing the probability as a fraction, decimal, or percent Apply the fundamental counting principle in a simple problem (e.g., How many different -digit numbers can be made with the digits 1, 2, and 2?). 4 th Qtr Saxon Lesson: 108 Tangram Activity 1 st Qtr Saxon Lessons: 28, 97 1 st Qtr Saxon Lesson: 28 Compass Activity 1 st Qtr Saxon Lessons: 6, 12 rd Qtr Saxon Lesson: 79 2 nd Qtr Saxon Lessons: 60, 109 Test: 20 Test: 6 4 th Qtr Saxon Lesson: 109 Test: 2 4 th Qtr Saxon Lesson: 112 Test: 19 1stQtr Saxon Lessons: 10, 14, 16, 18, 40, 50 Line Graph wk Circle Graph wk Pie Graph wk Venn Diagrams wk 2 nd Qtr Saxon Lessons: 50, 99 Statistics and Data wk Frequency wk Bar Graph wk 1 st Qtr Saxon Lessons: 18, 50 Averaging wk 2 nd Qtr Saxon Lesson: 58 Probability wk Coin Drop Activity Test: 4 Test: 19 Tests: 12-14, 19, 22, 2
43 CHARLESTON CUSD #1 MATH CURRICULUM GRADE 7 Grade 7 Math Assessment Framework Skill / Concept Standards Timeline Classroom Connections Assessment Place and Value Write 100,000 as a power of ten. 4 Operations on Whole Numbers Christmas Carol Unit Change Unit Write 10 6 written in decimal form? What is: Order of Operations What is Properties Given examples, label each as one of these properties: Commutative Property of Addition, Commutative Property of Multiplication, Associative Property of Addition, Associative Property of Multiplication, Distributive Property of Multiplication over Addition, Distributive Property of Multiplication over Subtraction, Additive Identity, Multiplicative Identity, Additive Inverse, Multiplicative Inverse, Multiplicative Property of Zero Factorization Factor 100 Greatest Common Factor Least Common Multiple Prime Numbers and Prime Factorization What is the GCF of 2, 48, and 96? What is the LCM of 12 and 20? What are the first ten prime numbers? Show the prime factorization of 200 in exponential form. Equivalent Fractions Give three fractions equivalent to ¾. Reducing Fractions What is 20/28 in lowest terms? Ordering and Comparing Fractions Place these fractions in order from least to greatest: 1/, ¾, ½, 7/8, 1/8. Using > or <, compare 12/15 and 7/8.
44 Skill / Concept Standards Timeline Classroom Connections 4 Operations on Christmas Carol Unit Fractions Change Unit Compare and Order Decimals 4 Operations on Decimals Change Fractions to Decimals Evaluate: 21 1/ /6 1/10 7 7/9 5 ¾ * 11 6/7 15 7/8 2 ½ Assessment Place these decimals in order from least to greatest:.0,.00,.,. Using < and >, compare and Proportions and Ratios Christmas Carol Unit Change Unit What is: * Write 2/ as a fraction. Change.16 to a fraction in lowest terms. 2 I need lbs of ground beef to make chili to serve 12 people. How much ground beef will I need to serve 25 people? Three out of every five students earned an A in math last quarter. If I have 120 students, how many earned an A? Simple Interest If I deposit $1500 at a rate of 6% annual simple interest, what will my balance be at the end of years? Percentages Fractions to decimals to percents Measurement Customary and Metric 1 45% of a class of 120 students chose pizza for lunch. How may students is that? There are 24 students in gymnastics class. If 1/ of them are working on tumbling, and.25 of them are working on the balance beam, and the rest of them are resting, what percent of the class is resting? x Work with Science class Using the ISAT ruler, measure the given lines.
45 Skill / Concept Standards Timeline Classroom Connections Integer Operations Evaluate: (-12) = -8 (-15) = 19 * (-). 8 = Area and Circumference of circles Assessment = Find the area of a circle with a diameter of 15 feet. Find the circumference of a circle with a radius of 7 inches. You may leave your answers in terms of π. Perimeter and Area What is the perimeter of a regular pentagon with side lengths of 9 feet? Surface Area and Volume What is the area of the pentagon? What is the surface area of a rectangular prism with a base of 8 by 4, and a height of 12? Points Rays Angles What is the volume of the prism? 2 Construct an angle with a measure of 50 o. Measure angle ABC using a protractor. Given that angle 1 = 40 o, and that lines r and s are parallel, find the measure of angles 2 8. Triangle Properties If angle ABC is 25 o, find the measures of the other angles. 2 Name this triangle by its sides and angles. Name the three kinds of triangles when they are classified by the lengths of their sides, and sketch one of each. Name the three kinds of triangles when they are classified by the measures of their angles, and sketch one of each.
46 Skill / Concept Standards Timeline Classroom Connections Assessment Coordinate Graphing x Graph y = x + 2 Give the coordinates of the vertices of this pentagon. Find the coordinates of the missing vertex on the triangle. Transformations x Identify the transformation shown in each illustration. Reflect the figure across the y-axis, then translate it 6 units right and 4 units down. Symmetry x Draw a figure with rotational symmetry of order 4. Mean Median Mode Range Shade in 5 boxes to create a symmetrical figure. Draw all the lines of symmetry in the given figure The grades on the math test last week were 100, 90, 65, 89, 92, 90, 71, and 90. Find the mean, median, mode and range of these scores. Frequency Tables The heights of 0 bean sprout were measured after 2 weeks of planting. The frequency table is given as below. Make a cumulative frequency table. Venn Diagrams Solve the problem using a Venn Diagram. In a group of students, 12 are taking Latin, 10 are taking German, are taking both Latin and German, and 5 are taking neither Latin nor German. How many students are in the group? Bar, Line, Circle Graphs Your basketball team, the Ricebirds, has been asked to create a bar graph illustrating your team's scores for each of its last ten games. Given the average daily temperature for the first week in January, make a line graph. Given the time spent on activities during an average day, create a circle graph.
47 Skill / Concept Standards Timeline Classroom Connections Assessment Simple Probability If Chris made 18 goals out of 25 shots on goal, what is the experimental probability that she will make a goal on her next shot? Permutations and Combinations If I flip a coin and then roll a six-sided die, what is the theoretical probability of (H,6)? There are nine players in a softball lineup. How many different batting orders are possible for these players? Square Roots Scale Drawings and Maps Ice-cream Palace offers six types of ice-cream, five types of toppings, and three types of cones. How many different ways can I choose an ice-cream dessert at the restaurant? 2 Graph 121 on a number line. Estimate 200 to the nearest tenth The distance from Chicago to Milwaukee is 90 miles. If the scale on a map is 1 = 15 miles, how far apart in inches should Chicago and Milwaukee be on your map? Nets Draw the net of a cylinder. Sequences What are the next three terms in this sequence? 96, 84, 72, What are the next three terms? 5, 21, 85, 41, Write expressions Mary has some money. She deposited $150. Using M to stand for the money she had before the deposit, write an expression for the money she has now. Simplify expressions Evaluate expressions with integers 2 Simplify: 7x 9 + 2x 2 + 7x + x - 2x If a = -8 and b = 7, what is a 2 ab?
48 Skill / Concept Standards Timeline Classroom Connections Assessment Estimation There are 5 students and two teachers going to the museum. Each van holds six people. How many vans will be needed? I went to the bookstore and bought 4 $5.95 each, one book for $21.25, and two $22.95 each. To the nearest dollar, how much did I spend? Tax is 7%. Change in variables In the equation y = 4x, if the value of x is increased by 2, what is the effect on the value of y? Representations Draw bars on the graph below so that the number of dogs is twice the number of cats and the number of hamsters is one-half the number of cats. Inequalities Equations Figures The stadium holds 1200 people. There are people in the stadium, and everyone in the stadium has a seat. Write an inequality to show how many people are in the stadium. Jack has has m dollars, and is going to spend $5.25 on lunch. He will have at least $5 left after he pays for lunch. Write and solve an inequality showing how much money he has now. 2 Mary has twice as many pencils as Bill. Together they have 42 pencils. Write and solve an equation to find out how many pencils each of them has. Members of a swim club pay a one-time membership fee of $25 plus $5 a lesson. Patrick paid the club $125 the month he joined. How many swim lessons did he have? Write and solve an equation. Using the formula (n-2)180, where n = the number of sides in a polygon, find the sum of the angles in a pentagon. Draw a regular hexagon.
49 Skill / Concept Standards Timeline Classroom Connections Assessment Congruence and Similarity x Draw a shape congruent to the shape given. Demonstrate apply the relationships between addition/subtraction and multiplication/division with rational numbers. Circle the similar triangles. (see shapes on following pages) Solve the equation q+ 14 = 45 using the inverse operation. Solve the equation x 4 = -2 using the inverse operation. Solve the equation -6x = 126 using the inverse operation. Solve the equation x/4 = -10 using the inverse operation.
50 Grade 8 Math Assessment Framework, Standard 6: Number Sense Skill / Concept Standards Timeline Classroom Connections Read, write, and recognize equivalent representations of integer powers of 10. Read, write, recognize, model, and interpret integers, including translating numerical expressions. Recognize, translate between, and apply multiple representations of rational numbers (decimals, fractions, mixed numbers, percents, and roots). Use scientific notation to represent numbers and solve problems. Represent repeated factors using exponents. Order and compare rational numbers. Identify and locate rational and irrational numbers (e.g., π, 2, 5) on a number line CHARLESTON CUSD #1 MATH CURRICULUM GRADE Quarter 1 Textbook What is 10 4? What is 10 -? Assessment (Think Link in all) Quarter 1 Textbook Chapter Write a number sentence for times the sum of 2 and Write this number sentence in words: (8 2) / Quarter 1 Textbook Simplify 64/ Convert 4/9 to a decimal without rounding Convert.75 to a mixed number fraction Quarter 1 Textbook Change the number to scientific notation Change the number to scientific notation If Planet Q was 5.2 x miles away from earth and a space ship is traveling there at 1. x miles per hour, how long will it take for the space ship to travel from Earth to Planet Q? Quarter 1 Textbook 2.6 and Find the prime factorization of 144 using exponents? The prime factorization of 60 is 2 * 2 * 2 * * Quarter 1 Textbook Skills Bank p Quarter 1 Textbook Skills Bank p.678 * 5. Simplify the prime factorization using exponents Compare 5/8 and.6 using <, >, or = List the following numbers from least to greatest: -2¾, -2.9, -1, Identify which dot on the number line represents the number -1½ Identify which dot on the number line represents the number 4
51 Skill / Concept Standards Timeline Classroom Connections Quarter 1 Textbook Skills Bank p.671, 672 Textbook 2.6, 2.7, 2.8 Solve problems involving descriptions of numbers, including characteristics and relationships (e.g., exponents, roots, prime/composite, prime factorization, greatest common factor, least common multiple). Solve problems and number sentences involving addition, subtraction, multiplication, and division using rational numbers, exponents, and roots. Identify and apply order of operations to simplify numeric expressions involving integers (including exponents and roots), fractions, and decimals. Identify and apply the following properties of operations with rational numbers: * the commutative and associative properties for addition and multiplication; * the distributive property; * the additive and multiplicative identity properties; * the additive and multiplicative inverse properties; and * the multiplicative property of zero. Describe the effect of multiplying and dividing by numbers, including the effect of multiplying or dividing a rational number by: * a number less than zero; * zero; * a number between zero and one; and * a number greater than one. Assessment (Think Link in all) What is the prime factorization of 6? What is the LCM and GCF of 12 and 15? Quarter 1 Textbook Chapter Solve 1 ¾ 2 ¾ Solve 11 ¼ / Solve Solve.2 * Solve 7 (-1) Solve - (-12) Solve Quarter 1 Textbook Chapter Textbook Skills Bank p Quarter 1 Textbook Skills Bank p.677 Reinforce Solve * (-) Solve (7 + -2) Solve Solve * What property is demonstrated by the following number sentence? 2(x + ) = 2x What is the multiplicative inverse of / 5? Quarter 1 Textbook If a number is multiplied by a fraction between 0 and 1, will the answer be larger or smaller than the original number? What is (2x 17) * 0?
52 Skill / Concept Standards Timeline Classroom Connections Select, use, and justify appropriate operations, methods, and tools to compute or estimate with rational numbers. Verify solutions and determine the reasonableness of results. Estimate the square or cube root of a number less than 1,000 between two whole numbers (e.g., 200 is between 5 and 6). Use ratios to describe problem situations Use proportional reasoning to model and solve problems Read, write, recognize, model, and interpret percents, including those less than 1% and greater than 100%. Solve number sentences and problems involving fractions, decimals, and percents (e.g., percent increase and decrease, interest rates, tax, discounts, tips). Assessment (Think Link in all) Quarter 1 Textbook Chapter If 51 shirts were purchased at $6.99 each, about how much would the total be? Estimate the cost Would.4 * 10-5 be a reasonable answer for converting into scientific notation? Quarter 1 Textbook.8.9 Supplement: Cube root exercises needed (not in book) Quarter Textbook 7.1, 7.2, and Quarter Textbook 7.4, 7.5, 7.6, 7.7, 7.8, and The square root of 119 is between which two integers? The cube root of 950 is between which two integers? What is the price per pound if 8 pounds of meat cost $20? If 8 people have yellow balloons, 6 people have red balloons, and 12 people have blue balloons, what would be the ratio of yellow to blue balloons? Which is a better buy? $8 for 5 batteries or $10 for 6 batteries? If you can buy 10 hamburgers for $2.50, how much would 7 hamburgers cost? The nearest Canadian glacier is 100 miles away and moving south towards the U.S. at the rate of 60 feet per year. How many years will it take for the glacier to reach the U.S.? (5280 feet = 1 mile) Quarter Textbook Chapter What is 6.75% of $12? out of 50 is what percent? Quarter 1 Textbook Chapter 2 Supplement: Extended Response Practice (see ISBE website for examples) If a sweater is normally $45 and is on sale for 15% off, what would be the sale price of the sweater? If a stock value starts at 24¼ and raises in value 1 / 8 each day for 11 days in a row, what will be its new value?
53 Grade 8 Math Assessment Framework, Standard 7: Measurement Skill / Concept Standards Timeline Classroom Connections Select and use appropriate standard units and tools to solve measurement problems, including measurements of polygons and circles. Solve problems involving perimeter (or circumference) and area of polygons, circles, and composite figures using diagrams, models, and grids or by measuring or using given formulas (may include sketching a figure from its description). Compare and estimate length (including perimeter or circumference), area, volume, weight/mass, and angles (0º to 60 º) using referents. Solve problems involving the volume or surface area of a right rectangular prism, right circular cylinder, or composite shape using an appropriate formula or strategy. Solve problems involving unit conversions within the same measurement system for length, weight/mass, capacity, square units, and measures expressed as rates (e.g., converting feet/second to yards/minute). Solve problems involving scale drawings, maps, and indirect measurement (e.g., determining the height of a building by comparing its known shadow length to the known height and shadow length of another object) Quarter 2 Quarter Quarter 2 Quarter Quarter 2 Quarter Quarter 2 Quarter Supplement: Measurement project needed Supplement: Extended Response with rulers and formula cards Textbook 7. Textbook Chapter 6 Assessment (Think Link in all) What tool would you use to measure the circumference of a soda can? A ruler, a yard stick, a tape measure, or a protractor? What tool would you use to measure the obtuse angle in a triangle? A ruler, a yard stick, a tape measure, or a protractor? Measure the perimeter of the given rectangle to the nearest ¼ inch. (Draw a.5 in by 1.25 rectangle for this question.) Draw a rectangle that is cm by 7.5 cm Measure the base of the triangle and then find the area of the triangle given the height of the triangle is 12 cm Given one leg of a right triangle measures 10 cm, and the hypotenuse measures 26 cm, what is the area of the triangle? Textbook Chapter 6 and Estimate the angle measurement. (Draw a 125 degree angle to estimate.) Estimate the length of the large paper clip given that the length of the small paper clip is 15 cm. (Draw a picture of this.) Textbook 6.6, 6.7, , 9, Find the surface area and volume of a rectangular prisms with length 2 cm, width 4 cm, and height 5 cm Find the surface area and volume of a cylinder with radius 5 in and height 12 in (use.14 for pi) Quarter Textbook Convert 70 inches into feet Convert 2500 meters into kilometers Convert gallons into pints Convert 4.75 kilometers into centimeters Quarter Textbook 7.6, 7.7, 7.8, A right triangle has base (leg) length of 18 ft and a height (leg) of 24 ft. A similar triangle has a base length of 27 ft. What is the height of the similar triangle? A map has a scale of 1 in equals 25 miles. How far apart are Jacktown and Sparrowville if they are 7.5 inches apart on a map?
54 Grade 8 Math Assessment Frameqwork, Standard 8: Algebra Skill / Concept Standards Timeline Classroom Connections Analyze, extend, and create sequences or linear functions, and determine algebraic expressions to describe the n th term of a sequence. Write an expression using variables to represent unknown quantities Quarter 4 Textbook 12.1, 12.2, 12., 12.4, 12.5 Assessment (Think Link in all) Find the 24 th term in the following sequence: 2, 6, 10, Find the 12 th term in the following sequence:, 6, 12, 24, Find the next three terms in the following sequence: 1, 8, 27, 64, Quarter 1 Textbook Write an expression for twice the quotient of m If Bob charges $12.95 per T-shirt and $.25 per letter printed on the T-shirt, write an expression using two variables that could be used to find the total charge for a T- shirt Simplify algebraic expressions Quarter 1 Textbook Combine like terms in the following expression: 5x + 2y y + 4x Simplify the following: 7(t + 8) 5t Recognize and generate equivalent forms of algebraic expressions. Evaluate or simplify expressions with one or more rational variable values (e.g., a 2 b for a = and b = 7) Recognize, describe, extend patterns using rates of change. Represent linear equations and quantitative relationships on a rectangular coordinate system, and interpret the meaning of a specific part of a graph. Translate between representations (table, written, graphical, or pictorial) of whole number relationships and linear expressions Quarter 1 Textbook Simplify: (x ) Factor out the GCF: 5x Quarter 1 Textbook 1.1, If a = 12 and b =, evaluate the following expression: a + 2b If x = 5 and y = -4, evaluate the following expression: 5y x Given d = m/v, what is the density of an object with a mass of 25 kg and volume of 8 cubic inches? Quarter Quarter Quarter 1 Quarter 4 Textbook 7.2 Textbook Chapter 12 Textbook 1.7, 1.8, 1.9, Quarter 1 Textbook 1.7, 1.8, 1.9 Supplement: Guessing the Rule for a given Table If 4 batteries cost $6, and 6 batteries cost $9, how much will 8 batteries cost? If a car travels 200 feet in 4 seconds, what is its speed in feet per second? Graph y = 2x Given a graph with time on the x-axis and speed on the y-axis shaped in a U shape and assuming this is a graph of a child sledding, which section(s) represents the child going downhill? Make an x-y chart for the following equation: y = -x Give the equation of the line given the following table of values: x y
55 Skill / Concept Standards Timeline Classroom Connections Assessment (Think Link in all) Interpret the meaning of slope and intercepts in linear situations Quarter 4 Textbook 11.2, 11., Find the x-intercept and y-intercept of the following equation: y = -x If a graph shows time on the x-axis, and distance on the y-axis, what does the slope represent? Find the slope of the following equation: 6x + y Identify, graph, and interpret up to two inequalities with a single variable (including the intersection or union of these inequalities) on a number line Represent and analyze problems with linear equations and inequalities. Solve linear equations and inequalities in one variable over the rational numbers (e.g., 5x + 7 = -1, 4x = -7x + 8, -2x + > -5). Solve word problems involving unknown quantities. = Quarter 1 Textbook 1.5, Solve the following system of equations by graphing the solutions on a number line: 2x + > 5 and x 4 < What inequality is represented by the following graph? (draw graph of x < -2) Quarter 1 Quarter Textbook Chapter Quarter 1 Textbook 1.1, 1.2, 1., 1.4, 1.5, 1.6, Chapter Quarter 1 Quarter Textbook Chapter 1 and 10 Supplement: ISAT Extended Response style problems A plumber charges $12.50 an hour plus a $0 flat fee to fix a leak. Write and solve an equation to find out how many hours the plumber worked if he was paid a total of $ The booster club sells cakes for $7 but spent a total of $125 on advertising. Write an solve an inequality to find out how many cakes the booster club will need to sell to make at least $500? Solve ½x + 2 = Solve (x + ) / = Solve -2x + < A plumber charges $12.50 an hour plus a $0 flat fee to fix a leak. Write and solve an equation to find out how many hours the plumber worked if he was paid a total of $80.
56 Grade 8 Math Assessment Framework, Standard 9: Geometry Skill / Concept Standards Timeline Classroom Connections Solve problems involving twoand three-dimensional shapes. Solve problems that require knowledge of triangle and quadrilateral properties (e.g., triangle inequality). Find the length of any side of a right triangle using the Pythagorean theorem (whole number solutions). Identify, describe, and determine the radius, diameter, and circumference of a circle and their relationship to each other and to pi. Graph points and identify coordinates of points on the Cartesian coordinate plane (all four quadrants). Represent and identify geometric figures using coordinate geometry, including those resulting from transformations. Analyze the results of a combination of transformations, and determine a different transformation that could produce the same result. Identify or analyze relationships of angles formed by intersecting lines (including parallel lines cut by a transversal) and angles formed by radii of a circle Quarter 2 Quarter Textbook 5., 5.4, and Chapter 6 Assessment (Think Link in all) Find the sum of the angles of an octagon How many faces, edges, and vertices are there on a triangular prism? Name the following shape: (draw a picture of a hexagonal pyramid) Quarter 2 Textbook 5., Give all the names associated with a square Can an equilateral triangle also be an obtuse triangle? Why or why not? Identify the following shape with the most specific name possible: (draw a picture of a trapezoid) Quarter 2 Quarter Quarter 2 Quarter Quarter 1 Quarter 2 Textbook 6. Textbook 6.4 Textbook 1.7, 1.8, Given a right triangle with legs of length 6 cm and 8 cm, find the length of the hypotenuse Given a right triangle has a 52 ft hypotenuse and one leg is 20 ft long, find the length of the other leg If the radius of a circle is 12 ft, what is the diameter? Given a circle has a diameter of 6 inches, what is the circumference? (Use.14 for pi.) Given a circle has a radius of 2 inches, what is the circumference in terms of pi? Graph the following points on a coordinate plane: (0,2) and (-, 0) and (, -4) Given the following graph, what are the coordinates of the point A? (Draw a picture of the point (-2, -) on a graph.) Quarter 2 Textbook 5.5, Identify the shape with the given coordinates: (- 2,-2), (2, -2), (0,), (4,) Give the new coordinates for the triangle if it were reflected across the y-axis. (Draw a triangle with coordinates at (2,2), (5,2), (,5)) Quarter 2 Textbook What would be another way to rotate a figure 180 degrees about the origin? Give the two transformations (one horizontal and one vertical) to move line segment AB to overlap line segment CD. (A: (1,), B:(,), C:(4,-2), D:(6,-2)) Quarter 2 Textbook 5.1, Given parallel lines AB and CD cut by transversal EF, find the missing angle measurements if m<1 = 54º Given a three-sectioned pie graph with angle measures of 90º, x º, and 2x º, find the missing angle measurements.
57 Skill / Concept Standards Timeline Classroom Connections Solve problems involving vertical, complementary, and supplementary angles. Identify front, side, and top views of a three-dimensional solid built with cubes. Solve problems involving congruent and similar figures. Relate absolute value to distance on the number line. Assessment (Think Link in all) Quarter 2 Textbook 5.1, What is the complement and supplement to 2 º? Given lines AB and CD intersecting at point E, what is the measure of angle AEC if the measure of angle BED is 75 º? Quarter 2 Supplement: (not in book) Given a D picture of cubes, draw the top view Given the top, side, and front view of cubes, identify the appropriate D picture of the cubes Quarter 2 Textbook 5.6, 7.6, Given congruent triangles ABC and DEF where the measure of angle A is 5 º and the measure of angle E is 92 º, what is the measure of angle F? Given similar parallelograms ABCD and EFGH where the measure of AB is 6 inches, the measure of BC is 9 inches, and the measure of EF is 15 inches, find the measure of FG Quarter 1 Textbook Skills Bank p What is the absolute value of -? What is the absolute value of 17.2? Grade 8 Math Assessment Framework, Standard 10: Data Analysis and Probability Skill / Concept Standards Timeline Classroom Connections Assessment (Think Link in all) Read, interpret (including possible misleading characteristics), and make predictions from data represented in a bar graph, line (dot) plot, Venn diagram (with two or three circles), chart/table, line graph, scatter plot, circle graph, stem-and-leaf plot, or histogram Quarter 2 Textbook 4.2, 4.5, 4.6, 4.7 Supplement: Venn Diagram Given a bar graph of profits for three different companies, estimate the difference in profits of company A and company C Given a line graph with the profits of a company of 10 years, predict the profits in 5 years Imagine a scatter plot of the amount of oil available (x axis) and the price of gasoline (y axis) and determine if these have a positive, negative, or no correlation. Compare and contrast the effectiveness of different representations of the same data Quarter 2 Textbook 4.2, 4.5, 4.6, What type of graph would you use to show change over time? (line graph) Which would be an appropriate use of a circle graph, to show profits of a company over years, to show profits of multiple companies, or to show the percent of costs from different categories?
58 Skill / Concept Standards Timeline Classroom Connections Create a bar graph, chart/table, line graph, or circle graph and solve a problem using the data in the graph for a given set of data. Identify or draw a reasonable approximation of the line of best fit from a set of data or a scatter plot, and use the line to make predictions. Analyze and apply measures of central tendency (mode, range, median, and mean) in problemsolving situations. Solve problems involving the probability of an event composed of repeated trials, compound events (including independent events), or future events with or without replacement. Represent all possible outcomes (sample space) for simple or compound events (e.g., tables, grids, tree diagrams). Solve simple problems involving the number of ways objects can be arranged (permutations and combinations). Assessment (Think Link in all) Quarter 2 Textbook 4.2, Given the following table of pizzas made by Pizza Hut each year, make a line graph million 64.2 million 7.4 million 82.7 million 92.1 million Predict the number of pizzas that will be made in 2010 from the previous data Quarter 2 Textbook Given a scatter plot of times at bat (x axis) and number of hits (y axis), draw a reasonable line of best fit Quarter 2 Textbook Find the mean, median, and mode of the following data set for weekly allowances for 8 th graders: 0, 5, 5, 5, 10, 10, 15, 15, 25, Find three numbers with a range of 10 and a mean of Quarter Textbook 9.1, 9.4, What is the probability of getting heads, heads, tails when flipping a coin three times in a row? What is the probability of rolling an even number on a six sided number cube and then getting heads when flipping a coin? A bag has the following names in it: Anne, Amy, Amanda, Barry, Charles, Casey, Chris, Dan, Erin, and Fred. What is the probability of drawing out two names starting with the letter A if the first name is not replaced after drawing? Given a mother with a Dd gene and a father with a Dd gene, what is the probability of their child having the dd gene? Quarter Textbook 9.1, 9.5, What are all the possible outcomes for flipping a coin three times? If a person has four shirts (red, blue, green, and yellow), two pairs of pants (blue jeans and khakis), and two pairs of shoes (brown or tennis shoes), what are all the possible outfits they could wear? Quarter Textbook If there were 5 applicants for a committee could be chosen to serve on the committee, how many different committees could be formed? If 12 people were running a race, how many different ways could 1 st, 2 nd, rd place be awarded? Given a mother with a Dd gene and a father with a DD gene, how many unique possible combinations exist for the gene of their child?
59 CHARLESTON CUSD #1 MATH CURRICULUM GRADE 11 State Goal 6 NUMBER SENSE Grade 11 Math Representing and Ordering Skill / Concept Standards Classroom Connections Assessment Recognize, represent, order, compare real numbers, and locate real numbers on a number line Represent numbers in equivalent forms Algebra I Chapt.1, 2 Algebra II Chapt Algebra I Chapts. 1, 4, 6, 7, 11 Algebra II Chapt. 1, 2, 4, 6, 10 Chapt.1, 2, 11 Tests Chapt.4, 7, 11 Tests Use matrices to organize data Algebra II Chapt.16 Chapt.16 Test Grade 11 Math Computation, Operations, Estimation, and Properties Skill / Concept Standard Classroom Connection Assessment Apply the rules of order of operations to real-number expressions. Simplify or test expressions by applying field properties, order properties, and properties of equality for the set of real numbers Apply number theory concepts to the solution of problems. Determine the effects of operations on the magnitudes of quantities. Determine the appropriate solution, including rounding, from a context Solve problems involving estimates or data Algebra I Chapt. 1, 4 Algebra II Chapt. 1, Algebra I Chapt. 2, Algebra II Chapt Algebra I Chapt. 5 Algebra II Chapt Algebra I Chapt. 4, 5 Algebra II Chapt. 4, 6, Algebra I Chapt Algebra I Chapt. 7, 8 Algebra II Chapt. 8
60 Skill / Concept Standard Classroom Connection Assessment Perform numerical computations with real numbers. Perform numerical operations with non-real complex numbers. Solve problems using simple matrix operations. Set up, evaluate, or solve single- and multi-step number sentences and word problems with rational numbers using the four basic operations. Determine the most cost effective option using singleand multi-step calculations and then comparing results. Judge the reasonableness of solutions, and find mistakes in calculation, logic, and formula application. Simplify numerical problems involving absolute value Algebra I Chapt. 1, 2 Algebra II Chapt Algebra II Chapt Algebra II Chapt Algebra I Chapt. Algebra II Chapt., Algebra I Chapt. 8 Algebra II Chapt. 2,, Algebra I Chapt. Algebra II Chapt Algebra I Chapt. 10 Algebra II Chapt. 2
61 Grade 11 Math Ratios, Proportions, and Percents Skill / Concept Standards Classroom Connections Assessment Set up, evaluate, or solve number sentences or word problems involving ratios and proportions with rational numbers. Set up, evaluate, or solve common problems involving percent. Set up, evaluate, or some problems stated in terms of direct and inverse variation of simple quantities Algebra I Chapt. 7 Algebra II Chapt Algebra I Chapt. 7 Algebra II Chapt Algebra I Chapt. 8 Algebra II Chapt. 8 State Goal 7 MEASUREMENT Grade 11 Math Units, Tools, Estimation, and Applications Skill / Concept Standard Classroom Connections Assessments Change from one unit to another within the same system of measurement, including calculations with mixed units. Change from one unit in one system of measurement to a unit in another system of measure, given a conversion factor. Determine and calculate to an indicated precision the length, width, height, perimeter/ circumference, area, volume, surface area, angle measures of common geometric figures or combinations of common geometric figures Algebra I Chapt.,4 Algebra II Chapt Algebra I Chapt Algebra I Chapt. 1, 4 Algebra II Chapt. 1, 4, 9
62 Skill / Concept Standard Classroom Connection Assessment Describe the general trends of how the change in one measure affects other measures in the same figure. Determine the linear measure, perimeter, area, surface area, and volume of similar figures. Determine the ratio of perimeters, areas, and volumes of figures. Use measures expressed as rates, measures expressed as products, and dimensional analysis to solve problems Algebra I Chapt. 4 Algebra II Chapt Algebra I Chapt., 4,6 Algebra II Chapt Algebra I Chapt Algebra I Chapt. 11 Algebra II Chapt. 1, 4 State Goal 8 - ALGEBRA Grade 11 Math Representations, Patterns, and Expressions Skill / Concept Standards Classroom Connections Assessments Simplify or identify equivalent algebraic expressions Represent mathematical relationships using symbolic algebra. Identify essential quantitative relationships in a situation, and determine the class or classes of functions that model the relationships. Determine a specific term, a finite sum, or a rule that generates terms of a pattern. Model and describe slope as a constant rate of change. Evaluate variable expressions and functions Algebra I Chapt. 4, 5, 6 Algebra II Chapt. 4, 5, Algebra I Chapt. 1, 2,, Algebra II Chapt. 1, Algebra I Chapt. 8, 12 Algebra II Chapt., 4, Algebra II Chapt Algebra I Chapt. 8 Algebra II Chapt Algebra I Chapt. 8 Algebra II Chapt., 7
63 Grade 11 Math Connections Using Tables, Graphs, and Symbols Skill / Concept Standards Classroom Connections Assessments Identify an equation of a line or an equation of a line of best fit from given information. Recognize and describe the general shape and properties of functions from graphs, tables, or equations. Identify slope from an equation, table of values, or graph Interpret the role of the coefficients and constants on the graphs of linear and quadratic functions, given a set of equations. Analyze functions by investigating domain, range, and rates of change, intercepts, and zeros. Create and connect representations that are tabular, graphic, numeric, and symbolic from a set of data Represent quantitative relationships graphically, and interpret the meaning of the graph or a specific part of the graph as it relates to the situation represented by the graph Algebra I Chapt. 8 Algebra II Chapt Algebra I Chapt. 8, 10 Algebra II Chapt. 2,, 7, Algebra I Chapt. 8 Algebra II Chapt., Algebra I Chapt. 8, 12 Algebra II Chapt. 8, 9, Algebra I Chapt. 8 Algebra II Chapt., Algebra I Chapt. 8 Algebra II Chapt Algebra I Chapt. 8 Algebra II Chapt.
64 Grade 11 Math Writing, Interpreting, and Solving Equations Skill / Concept Standards Classroom Connections Assessments Model problems using mathematical functions and relations. Interpret the graph of a system of equations and inequalities, including cases where there are no solutions. Solve linear equations and inequalities, including selecting and evaluating formulas Solve systems of equations and inequalities. Solve quadratic equation over the complex number system, including selecting and evaluating formulas. Solve problems that include nonlinear functions, including selecting and evaluating formulas. Identify, interpret, and write equations for circles and other conic sections. Recognize and apply mathematical and algebraic axioms, theorems of algebra, and deductive reasoning. Identify equivalent forms of equations, inequalities, and systems of equations Algebra I Chapt., 4, 5, 7 Algebra II Chapt., Algebra I Chapt. 8 Algebra II Chapt Algebra I Chapt. 8 Algebra II Chapt Algebra I Chapt., 10 Algebra II Chapt. 2, Algebra II Chapt. 6, Algebra I Chapt. 10 Algebra II Chapt., Algebra II Chapt Algebra I Chapt. 1, 2 Algebra II Chapt. 1, Algebra I Chapt., 9, 10 Algebra II Cahpt. 1, 2, 7, 8
65 State Goal 9 - GEOMETRY Grade 11 Math Properties of Single Figures and Coordinate Geometry Skill / Concept Standards Classroom Connections Assessments Apply the Pythagorean Theorem Geometry Chapt. 8 Identify and represent transformations Geometry Chapt. 14 and describe the effects on points. Determine how changing the scale Geometry Chapt. 7, 11 factor affects the size and position of a figure in the plane. Classify plane figures according to Geometry Chapt. their properties. Identify, apply, or solve problems that Geometry Chapt., 4, 5, 6 require knowledge of geometric properties of plane figures. Identify a three-dimensional object Geometry Chapt. 12 from different perspectives. Identify the relationship between twodimensional Geometry Chapt. 11, 12 patterns and related three- dimensional objects. Identify two- and three dimensional Geometry Chapt. 10, 11, 12 figures that would match a set of given conditions. Solve problems that involve calculating distance, midpoint, and slope using coordinate geometry Geometry Chapt. 1 Identify, apply, and solve problems that require knowledge of geometric relationships of circles. Graph, locate, and identify points on a coordinate system Geometry Chapt Geometry Chapt. 1
66 Grade 11 Math Relationships Between and Among Multiple Figures Skill / Concept Standards Classroom Connections Assessments Solve problems involving similar figures. Solve problems using triangle congruence. Describe how two or more objects are related in space Identify relationships between circles and other objects in the plane Geometry Chapt Geometry Chapt Geometry Chapt Geometry Chapt. 9 Grade 11 Math Justification of Conjectures and Conclusions Skill / Concept Standards Classroom Connections Assessments Recognize and apply the conditions that assure congruence and similarity Recognize and apply mathematical and geometric axioms, fundamental theorems of geometry, and deductive reasoning. Identify a counter-example to disprove a conjecture Geometry Chapt. 1, 4, 7, Geometry Chapt. 1, Geometry Chapt. 2
67 Grade 11 Math Trigonometry Skill / Concepts Standards Classroom Connections Assessments Determine distances and angle Geometry Chapt. 8, 1 measures using indirect measurement Solve problems using Geometry Chapt triangles Identify graphs of a given Trigonometry Chapt. trigonometric function using its characteristics Define, identify, and evaluate Geometry Chapt. 8 trigonometric ratios. Use trigonometric identities Trigonometry Chapt. State Goal 10 DATA ANALYSIS, STATISTICS, and PROBABILITY Grade 11 Math Data Analysis and Statistics Skill / Concept Standards Classroom Connections Assessments Read, interpret, predict, interpolate, extrapolate, and use information from graphs, charts, and tables Translate from one representation of data to another (e.g., a circle graph to a bar graph) Solve problems involving Venn diagrams. Find an unknown value in a dataset given information about descriptive statistics. Calculate, interpret, and use measures of central tendency and dispersion. Compare two or more data sets on measures of central tendency and dispersion Algebra I Chapt Algebra I Chapt Algebra I Chapt. 10 Geometry Chapt Prob & Stats Chapt Prob & Stats Chapt Prob & Stats Chapt.
68 Grade 11 Math - Probability Skill / Concept Standards Classroom Connections Assessments Compare the probability of an event composed of single or repeated trials with or without replacement Compute probabilities for compound events. Determine geometric probability based on area. Apply counting techniques (e.g., permutations, combinations, Fundamental Counting Principle) Prob & Stats Chapt Prob & Stats Chapt Geometry Chapt Prob & Stats Chapt.
EVERY DAY COUNTS CALENDAR MATH 2005 correlated to
EVERY DAY COUNTS CALENDAR MATH 2005 correlated to Illinois Mathematics Assessment Framework Grades 3-5 E D U C A T I O N G R O U P A Houghton Mifflin Company YOUR ILLINOIS GREAT SOURCE REPRESENTATIVES:
Illinois State Standards Alignments Grades Three through Eleven
Illinois State Standards Alignments Grades Three through Eleven Trademark of Renaissance Learning, Inc., and its subsidiaries, registered, common law, or pending registration in the United States and other
ISAT Mathematics Performance Definitions Grade 4
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