Bradley County Schools MATH Pacing Guide

Transcription

1 Bradley County Schools MATH Pacing Guide The following pages are a suggested pacing guide for Mathematics. This pacing guide is designed to assist the teacher in planning for the entire school year and to complete the necessary skills before TCAP for grades 3-5. All lessons for the Envision text are listed in the order in which they appear in the book along with thecorresponding Tennessee State Performance Indicator (SPI) or Check for Understanding (CFU). Some Things to Know Before Using This Pacing Guide The first column of the pacing guide is a guide to let the teacher know approximately how much material must be covered in each of the nine week grading periods. Grades 3-5 need to look closely at this column because some of the grading periods have more lessons than there are days. Consolidation of some lessons may be appropriate in order to get through the necessary lessons before TCAP. A day is set aside between each of the topics for assessment and differentiation of instruction. The second column list the number of the lesson from the Envision textbook. Some of the lessons in grades 3-5 are written in red saying 'Post TCAP'. This is the recommendation of the book publisher, but teachers need to look at these lessons to make sure it is not something that needs to be introduced. All of the 'Post TCAP' lessons are added at the end of the year. It is important to get as many of these lessons covered before the end of the year as possible. Column three list the Tennessee SPI or CFU that is covered in the lesson according to the publisher. Since this is the first year of the textbook adoption, teachers may need to look closely to make sure that all SPI's are covered in the depth needed. Using this list as a guide, all SPI's are covered before the TCAP testing window. An attempt has been made to assign all words from the Tennessee Vocabulary list to the topic which it would seem the most logical. Teachers need to be mindful of this list because some are not presented in the text. The next column is a place for the teacher to write in their own Additional Resources. Remember that the Tech Coaches have worked diligently to put all of the resources associated with the new textbook on the web at The state is also working on a website of additional resources at This website is being updated regularly with new ideas. It may be a little hard to navigate but it will be a great resource in years to come. The kindergarten guide has one more column than the others. This column contains the Common Core Standard that is related to each lesson. These are the standards that kindergarten teachers are responsible for teaching during the year Some lessons have no Common Core Standard connected to them, but it is important to cover these lessons to prepare for first grade. This column will be added for the other grades as we move up the adoption of Common Core Standards. 1

2 1st Nine Weeks Timeline Lesson Skill Vocabulary Lesson 1-1 CFU Use various models such as number lines, pictures, and base-ten blocks to illustrate addition and subtraction. Lesson 1-2 CFU Use various models such as number lines, pictures, and base-ten blocks to illustrate addition and subtraction. Lesson 1-3 CFU Use various models such as number lines, pictures, and base-ten blocks to illustrate addition and subtraction. Lesson 1-4 CFU Use various models such as number lines, pictures, and base-ten blocks to illustrate addition and subtraction. Lesson 1-5 CFU Use various models such as number lines, pictures, and base-ten blocks to illustrate addition and subtraction. Lesson 1-6 CFU Use manipulatives to demonstrate addition and subtraction sentences written symbolically. Lesson 1-7 CFU Write numbers and translate word clues to number sentences and vice versa. Lesson 2-1 Lesson 2-2 CFU Develop fluency at recalling basic addition facts and related subtraction facts. CFU Develop fluency at recalling basic addition facts and related subtraction facts. (Also CFU Use various models such as number lines, pictures, and base-ten blocks to illustrate addition and subtraction. CFU Solve addition and subtraction problems in ) GRADE 2 Topic 1 Understanding Addition and Subtraction Topic 2 Addition Strategies associative property commutative property See Click on "Curriculum Links" Go to the heading 'Mathematics' Additional Resources Everything from Envisions is there along with plenty of additional web-based resources from which to choose 2

3 1st Nine Weeks Lesson 2-3 CFU Develop fluency at recalling basic addition facts and related subtraction facts. (Also CFU Solve addition and subtraction problems in context using various representations.) Lesson 2-4 CFU Develop fluency at recalling basic addition facts and related subtraction facts. (Also CFU Understand and use the commutative and associative properties of addition and multiplication.) Lesson 2-5 CFU Develop fluency at recalling basic addition facts and related subtraction facts. (Also CFU Understand and use the commutative and associative properties of addition and multiplication.) Lesson 2-6 CFU Develop fluency at recalling basic addition facts and related subtraction facts. Lesson 2-7 CFU Develop fluency at recalling basic addition facts and related subtraction facts. Lesson 2-8 CFU Write numbers and translate word clues to number sentences and vice versa. Lesson 3-1 Lesson 3-2 Lesson 3-3 Lesson 3-4 Lesson 3-5 CFU Solve addition and subtraction problems in (Also CFU Develop fluency at recalling basic addition facts and related subtraction facts.) CFU Develop fluency at recalling basic addition facts and related subtraction facts. (Also CFU Solve addition and subtraction problems in context using various representations. ) CFU Develop fluency at recalling basic addition facts and related subtraction facts. (Also CFU Solve addition and subtraction problems in context using various representations. ) CFU Develop fluency at recalling basic addition facts and related subtraction facts. CFU Find unknowns in number sentences and problems involving addition, subtraction and multiplication. Topic 3 Subtraction Strategies unknown 3

4 1st Nine Weeks Lesson 3-6 CFU Use age-appropriate books, stories, and videos to convey ideas of mathematics. Lesson 4-1 Lesson 4-2 Lesson 4-3 Lesson 4-4 Lesson 4-5 Lesson 4-6 Lesson 4-7 TN-1 TN-2 Reviews CFU Recognize the place value of numbers (tens, ones). Reviews CFU Recognize the place value of numbers (tens, ones). CFU Read and write numbers up to 1000 using numerals and up to 100 using words. CFU Compare and order multi-digit numbers up to CFU Compare and order multi-digit numbers up to CFU Starting at any number, count by ones, twos, fives, tens, and hundreds up to CFU Compare and order multi-digit numbers up to CFU Locate and interpret numbers on a number line. CFU Demonstrate skip counting on the number line and relate to repeated addition and multiplication. TN-3 CFU Record and study patterns in lists of numbers created by repeated addition or subtraction. Lesson 4-8 CFU Starting at any number, count by ones, twos, fives, tens, and hundreds up to Lesson 4-9 Reviews CFU Determine whether a number is odd or even by pairing objects. Lesson 4-10 CFU Read, interpret, and analyze data shown in tables, bar graphs and picture graphs. Topic 4 Place Value: Numbers to 100 equivalent interpret 4

5 2nd Nine Weeks 1st Nine Weeks Topic 5 Lesson 5-1 CFU Count the value of a set of coins up to one dollar and use the transitive property of equality to recognize equivalent forms of values up to $1.00. Lesson 5-2 CFU Count the value of a set of coins up to one dollar and use the transitive property of equality to recognize equivalent forms of values up to $1.00. Lesson 5-3 CFU Count the value of a set of coins up to one dollar and use the transitive property of equality to recognize equivalent forms of values up to $1.00. Lesson 5-4 CFU Count the value of a set of coins up to one dollar and use the transitive property of equality to recognize equivalent forms of values up to $1.00. Lesson 5-5 CFU Count the value of a set of coins up to one dollar and use the transitive property of equality to recognize equivalent forms of values up to $1.00. Lesson 5-6 CFU Count the value of a set of coins up to one dollar and use the transitive property of equality to recognize equivalent forms of values up to $1.00. Lesson 6-1 Lesson 6-2 CFU Apply appropriate methods to estimate and CFU Apply appropriate methods to estimate and Lesson 6-3 CFU Apply appropriate methods to estimate and Lesson 6-4 CFU Solve addition and subtraction problems in Lesson 6-5 CFU Given a description, extend or find a missing term in a pattern or sequence. Counting Money dollar transitive Topic 6 Mental Addition extend 5

6 2nd Nine Weeks Topic 7 Lesson 7-1 CFU Apply appropriate methods to estimate and Lesson 7-2 CFU Apply appropriate methods to estimate and Lesson 7-3 CFU Apply appropriate methods to estimate and Lesson 7-4 CFU Apply appropriate methods to estimate and Lesson 7-5 Previews CFU Analyze problems by identifying relationships, distinguishing relevant from irrelevant information, and observing patterns. Lesson 8-1 Lesson 8-2 CFU Solve addition and subtraction problems in (Also CFU Use efficient procedures, and understand why they work, to solve problems involving the addition and subtraction of two- and three-digit whole numbers (including those that require regrouping for addition only).) CFU Use efficient procedures, and understand (including those that require regrouping for addition only). (Also CFU Solve addition and subtraction problems in ) Mental Subtraction Topic 8 Adding Two-Digit Numbers Lesson 8-3 CFU Solve addition and subtraction problems in 6

7 2nd Nine Weeks Lesson 8-4 CFU Use efficient procedures, and understand (including those that require regrouping for addition only) Lesson 8-5 CFU Use efficient procedures, and understand (including those that require regrouping for addition only) Lesson 8-6 CFU Add three two-digit numbers. Lesson 8-7 CFU Solve addition and subtraction problems in Lesson 9-1 Lesson 9-2 Lesson 9-3 CFU Use efficient procedures, and understand (including those that require regrouping for addition only). (Also CFU Solve addition and subtraction problems in ) CFU Use efficient procedures, and understand (including those that require regrouping for addition only). (Also CFU Solve addition and subtraction problems in ) CFU Use efficient procedures, and understand (including those that require regrouping for addition only) Topic 9 Subtracting Two-Digit Numbers 7

8 2nd Nine Weeks Lesson 9-4 CFU Use efficient procedures, and understand (including those that require regrouping for addition only). (Also CFU Solve addition and subtraction problems in ) Lesson 9-5 CFU Solve addition and subtraction problems in Lesson 9-6 CFU Solve addition and subtraction problems in Lesson 9-7 CFU Solve addition and subtraction problems in Lesson 10-1 Lesson 10-2 Lesson 10-3 CFU Solve addition and subtraction problems in CFU Apply appropriate methods to estimate and CFU Use efficient procedures, and understand (including those that require regrouping for addition only). (Also CFU Solve addition and subtraction problems in ) Topic 10 Using Addition and Subtraction Lesson 10-4 Lesson 10-5 CFU Solve addition and subtraction problems in CFU Apply appropriate methods to estimate and 8

9 3rd Nine Weeks 2nd Nine Weeks Lesson 10-6 CFU Use efficient procedures, and understand (including those that require regrouping for addition only). (Also CFU Solve addition and subtraction problems in ) TN-4 CFU Develop a story problem that illustrates a given addition or subtraction number sentence. Lesson 10-7 CFU Solve addition and subtraction problems in TN-5 CFU Create and observe numerical patterns on a calculator by repeatedly adding or subtracting the same number from some starting number. Lesson 11-1 Lesson 11-2 Lesson 11-3 Lesson 11-4 Lesson 11-5 CFU Describe common geometric attributes of familiar plane and solid objects. CFU Describe common geometric attributes of familiar plane and solid objects. CFU Investigate and describe composition, decomposition, and transformations of polygons. (Also CFU Combine polygons to form other polygons and subdivide a polygon into other polygons. CFU Recognize the composition and decomposition of polygons.) CFU Investigate and describe composition, decomposition, and transformations of polygons. (Also CFU Combine polygons to form other polygons and subdivide a polygon into other polygons. CFU Recognize the composition and decomposition of polygons.) Prepares for SPI Determine if two figures are congruent based on size and shape. Topic 11 Geometry translate reflect totate symmetry transformations 9

10 3rd Nine Weeks Lesson 11-6 CFU Reflect, rotate, and translate shapes to explore the effects of transformations. (Also CFU Use manipulatives such as pattern blocks, tangrams, etc. to explore geometric concepts of symmetry and transformations. CFU Investigate and describe composition, decomposition, and transformations of polygons.) Lesson 11-7 Prepares for CFU Identify, create, and describe figures with line symmetry. Lesson 11-8 CFU Describe common geometric attributes of familiar plane and solid objects. Lesson 12-1 CFU Use concrete models or pictures to show whether a fraction is less than a half, more than a half, or equal to a half. Lesson 12-2 CFU Match the spoken, written, concrete, and pictorial representations of halves, thirds, and fourths. Lesson 12-3 CFU Match the spoken, written, concrete, and pictorial representations of halves, thirds, and fourths. Lesson 12-4 CFU Use concrete models or pictures to show whether a fraction is less than a half, more than a half, or equal to a half. Lesson 12-5 CFU Match the spoken, written, concrete, and pictorial representations of halves, thirds, and fourths. Lesson 12-6 CFU Match the spoken, written, concrete, and pictorial representations of halves, thirds, and fourths. Lesson 13-1 Lesson 13-2 CFU Estimate, measure, and calculate length to the nearest unit: meter, centimeter, yard, foot, and inch. CFU Estimate, measure, and calculate length to the nearest unit: meter, centimeter, yard, foot, and inch. Topic 12 Fractions one-fourth one-third fraction set Topic 13 Measurement: Length and Area dimensions distance foot 10

11 3rd Nine Weeks Lesson 13-3 CFU Understand the inverse relationship inch between the size of a unit and the number of units used in a yard particular measurement (the smaller the unit, the more iterations needed to cover the length). meter/centimeter perimeter TN-6 CFU Understand the property of transitivity as it relates to linear measurement (for example: If A is longer than B, and B is longer then C, then A is longer than C). Lesson 13-4 CFU Estimate, measure, and calculate length to the nearest unit: meter, centimeter, yard, foot, and inch. Lesson 13-5 CFU Estimate, measure, and calculate length to the nearest unit: meter, centimeter, yard, foot, and inch. Lesson 13-6 Prepares for SPI Calculate the perimeter of shapes made from polygons. Lesson 13-7 Prepares for CFU Recognize that a measure of area represents the total number of same-sized units /that cover the shape without gaps or overlaps. Lesson 13-8 Prepares for CFU Recognize that a measure of area represents the total number of same-sized units /that cover the shape without gaps or overlaps. Lesson 14-1 Lesson 14-2 Lesson 14-3 Lesson 14-4 Lesson 14-6 Lesson 14-7 Lesson 14-8 Prepares for CFU Estimate and/or measure the capacity of a container. Prepares for CFU Estimate and/or measure the capacity of a container. Prepares for CFU Recognize the relationships among cups, pints, quarts, and gallons. Prepares for CFU Understand that all measurements require units. Prepares for CFU Measure weight to the nearest pound or kilogram. Prepares for CFU Measure weight to the nearest pound or kilogram. Prepares for CFU Measure weight to the nearest pound or kilogram. Topic 14 Measurement: Capacity and Weight pound kilogram 11

12 4th Nine Weeks 3rd Nine Weeks Lesson 14-9 Prepares for CFU Understand that all measurements require units. Time and Temperature Lesson 15-1 CFU Read and write time up to five-minute intervals. quarter-hour Lesson 15-2 CFU Solve problems involving elapsed time in hour and half-hour intervals. second (time) elapsed time / time interval Lesson 15-3 CFU Use strategies to make estimates of time. (Also CFU Solve problems involving elapsed time in hour and half-hour intervals.) Lesson 15-4 CFU Relate days, dates, weeks, months, and years to a calendar. Lesson 15-5 CFU Read thermometers with Fahrenheit and Celsius scales. Lesson 15-6 CFU Solve problems involving elapsed time in hour and half-hour intervals. Lesson 16-1 Lesson 16-2 Lesson 16-3 Lesson 16-4 Lesson 16-5 Lesson 16-6 Lesson 16-7 TN-7 CFU Read, interpret, and analyze data shown in tables, bar graphs and picture graphs. CFU Read, interpret, and analyze data shown in tables, bar graphs and picture graphs. CFU Read, interpret, and analyze data shown in tables, bar graphs and picture graphs. Prepares for CFU Explain how the components of a coordinate system are used to determine location. CFU Explain whether a real world event is likely or unlikely. CFU Read, interpret, and create tables using tally marks. CFU Read, interpret, and analyze data shown in tables, bar graphs and picture graphs. CFU Read, interpret, and analyze data shown in tables, bar graphs and picture graphs. Topic 15 Topic 16 Graphs and Probability table likely/unlikely 12

13 4th Nine Weeks TN-8 CFU Describe change in measures according to quantitative criteria such as growing 2 inches in one year. Lesson 17-1 Lesson 17-2 Lesson 17-3 CFU Starting at any number, count by ones, twos, fives, tens, and hundreds up to CFU Recognize that place-value notation represents the sums of multiples of powers of ten (e.g., 853 as 8 hundreds + 5 tens + 3 ones). CFU Recognize that place-value notation represents the sums of multiples of powers of ten (e.g., 853 as 8 hundreds + 5 tens + 3 ones). (Also CFU Read and write numbers up to 1000 using numerals and up to 100 using words.) Lesson 17-4 CFU Starting at any number, count by ones, twos, fives, tens, and hundreds up to Lesson 17-5 CFU Starting at any number, count by ones, twos, fives, tens, and hundreds up to Lesson 17-6 CFU Compare and order multi-digit numbers up to Lesson 17-7 CFU Compare and order multi-digit numbers up to Lesson 17-8 CFU Compare and order multi-digit numbers up to Lesson 17-9 CFU Given a description, extend or find a missing term in a pattern or sequence. Topic 17 Numbers and Patterns to 1,000 base-ten system expanded form 13

14 4th Nine Weeks Topic 18 Lesson 18-1 CFU Use various models such as number lines, pictures, and base-ten blocks to illustrate addition and subtraction. (Also CFU Apply appropriate methods to estimate and mentally calculate sums or differences with ones, tens, and ) Lesson 18-2 CFU Apply appropriate methods to estimate and (Also CFU Use various models such as number lines, pictures, and base-ten blocks to illustrate addition and subtraction.) Lesson 18-3 CFU Use various models such as number lines, pictures, and base-ten blocks to illustrate addition and subtraction. Lesson 18-4 CFU Use efficient procedures, and understand (including those that require regrouping for addition only). Lesson 18-5 CFU Apply appropriate methods to estimate and Lesson 18-6 CFU Apply appropriate methods to estimate and Lesson 18-7 CFU Use various models such as number lines, pictures, and base-ten blocks to illustrate addition and subtraction. Lesson 18-8 CFU Use efficient procedures, and understand (including those that require regrouping for addition only). Lesson 18-9 CFU Read, interpret, and analyze data shown in tables, bar graphs and picture graphs. Three-Digit Addition and Subtraction 14

15 4th Nine Weeks Lesson 19-1 TN-9 Lesson 19-2 TN-10 Lesson 19-3 Lesson 19-4 Lesson 19-5 Lesson 19-6 TN-11 CFU Relate repeated addition to multiplication. CFU Relate patterns in skip counting to multiplication. Prepares for CFU Represent multiplication using various representations such as equal-size groups, arrays, area models, and equal jumps on number lines. CFU Generalize the patterns resulting from the addition, subtraction and multiplication of combinations of odd and even numbers. CFU Use age-appropriate books, stories, and videos to convey ideas of mathematics. Prepares for CFU SPI Recall basic multiplication facts through 10 times 10 and the related division facts. CFU Understand and use the commutative and associative properties of addition and multiplication. Prepares for CFU Represent multiplication using various representations such as equal-size groups, arrays, area models, and equal jumps on number lines. CFU Find unknowns in number sentences and problems involving addition, subtraction and multiplication. Topic 19 Multiplication Concepts multiplication commutative property Topic 20 Division Concepts and Facts Lesson 20-1 Prepares for CFU Represent division using various representations such as successive subtraction, the number of equal jumps, partitioning, and sharing. outcome event Lesson 20-2 Prepares for CFU Represent division using various representations such as successive subtraction, the number of equal jumps, partitioning, and sharing. Lesson 20-3 CFU Use age-appropriate books, stories, and videos to convey ideas of mathematics. 15

16 4th Nine Weeks Lesson 20-4 Prepares for SPI Solve problems that involve the inverse relationship between multiplication and division. Lesson 20-5 CFU Given rules, complete tables to reveal both arithmetic and geometric patterns. TN-12 CFU Given rules, complete tables to reveal both arithmetic and geometric patterns. 16