Everyday Math 3rd Grade Pacing Guide

Transcription

1 School Year Semester : ~ 80 School Days Unit - Routines, Review, & Assessment S3. GLE: Visual displays are used to describe data i. Draw a scaled picture graph and a scaled bar graph to represent a data set with several categories. ii. Solve one- and two-step how many more and how many less problems using information presented in scaled bar graphs. iii. Generate measurement data by measuring lengths using rulers marked with halves and fourths of an inch. Show the data by making a line plot, where the horizontal scale is marked off in appropriate units whole numbers, halves, or quarters. S4. GLE3: Time and attributes of objects can be measured with appropriate tools a. Solve problems involving measurement and estimation of intervals of time, liquid volumes, and masses of objects. i. Tell and write time to the nearest minute. ii. Measure time intervals in minutes. iii. Solve word problems involving addition and subtraction of time intervals in minutes using a number line diagram. Unit 2 - Adding & Subtracting Whole Numbers S. GLE: The whole number system describes place value relationships and forms the foundation for efficient algorithms a. Use place value and properties of operations to perform multidigit arithmetic. ii. Fluently add and subtract within 000 using strategies and algorithms based on place value, properties of operations, and/or the relationship between addition and subtraction.. Numbers All Around Museum 0 Optional Lesson.2 Number Grids.3 Student Reference Book.4 Tools for Mathematics 2 Supplement with time. Math Master p.5.5 Analyzing and Displaying Data.6 Equivalent Names.7 Finding Differences.8 Calculator Routines.9 Money.0 Solving Problems with Dollars and Cents. Patterns.2 The Length-of-Day Project.3 Unit Review and Assessment 2 Goal: Finish Unit by September 4th 2. Fact Families 2.2 Extensions of Addition and Subtraction Facts 2.3 "What's My Rule" 2.4 Parts-and-Total Number Stories 2.5 Change Number Stories 2.6 Comparison Number Stories 2.7 The Partial-Sums Algorithm The Trade-First Subtraction Algorithm Addition with Three or More Addends 2.0 Unit 2 Review and Assessment 2 Goal: Finish Unit by October 2th Refer to tally charts as both frequency tables and tally charts. Supplement various graphing through the year, including labeling. Supplement with rounding to tens & hundreds (S.GLE.a.i) Ongoing addition/subtraction practice needed

2 Semester : ~ 80 School Days School Year Unit 3 - Linear Measures & Area S3. GLE: Visual displays are used to describe data i. Draw a scaled picture graph and a scaled bar graph to represent a data set with several categories. ii. Solve one- and two-step how many more and how many less problems using information presented in scaled bar graphs. iii. Generate measurement data by measuring lengths using rulers marked with halves and fourths of an inch. Show the data by making a line plot, where the horizontal scale is marked off in appropriate units whole numbers, halves, or quarters. S4. GLE2: Linear and area measurement are fundamentally different and require different units of measure a. Use concepts of area and relate area to multiplication and to addition. i. Recognize area as an attribute of plane figures and apply concepts of area measurement. ii. Find area of rectangles with whole number side lengths using a variety of methods iii. Relate area to the operations of multiplication and addition and recognize area as additive. b. Describe perimeter as an attribute of plane figures and distinguish between linear and area measures. c. Solve real world and mathematical problems involving perimeters of polygons. i. Find the perimeter given the side lengths. Find an unknown side length given the perimeter. iii. Find rectangles with the same perimeter and different areas or with the Unit 4 - Multiplication & Division S. GLE3: Multiplication and division are inverse operations and can be modeled in a variety of ways a. Represent and solve problems involving multiplication and division. i. Interpret products of whole numbers. ii. Interpret whole-number quotients of whole numbers. iii. Use multiplication and division within 00 to solve word problems in situations involving equal groups, arrays, and measurement quantities. iv. Determine the unknown whole number in a multiplication or division equation relating three whole numbers. v. Model strategies to achieve a personal financial goal using arithmetic operations (PFL) b. Apply properties of multiplication and the relationship between multiplication and division. i. Apply properties of operations as strategies to multiply and divide. ii. Interpret division as an unknown-factor problem. c. Multiply and divide within 00. i. Fluently multiply and divide within 00, using strategies such as the relationship between multiplication and division or properties of operations. ii. Recall from memory all products of two one-digit numbers. 3. A "Class Show" Unit of Length 3.2 Measuring with a Ruler 3.3 Standard Linear Measures 3.4 Perimeter 3.5 Exploring Perimeter and Area 3.6 Area 3.7 Number Models for Area 3.8 Diameter and Circumference 0 Optional Lesson - mention vocabulary Extra lesson on volume and weight Unit 3 Review and Assessment 2 Goal: Finish unit by November 2nd 4. Multiples of Equal Groups 4.2 Multiplication Arrays 4.3 Equal Shares and Equal Groups 4.4 Division Ties to Multiplication 4.5 Multiplication Fact Power and Shortcuts 4.6 Fact Tables and Fact Families 4.7 Baseball Multiplication 4.8 Exploring Arrays and Facts 4.9 Estimating Distances with a Map Scale 4.0 Unit 4 Review and Assessment 2 Goal: Finish Unit by Thanksgiving Break (November 20th) 2 Could combine Lessons 3. and 3.2 Measure to the nearest /4 inch Needs to be covered prior to TCAP (lesson 0.4 good reference for weight) Recommended alternative order to unit: 4.2, 4., 4.5, 4.6, 4.7, 4.8, 4.3, 4.4, 4.9, 4.0 Baseball Multiplication good lesson before Thanksgiving Break

3 School Year Semester : ~ 80 School Days Unit 5 - Place Value in Whole Numbers & Decimals S. GLE: The whole number system describes place value relationships and forms the foundation for efficient algorithms 5. Place Value through Ten-thousands 5.2 Reading, Writing, and Ordering Numbers 5.3 Place Value to Millions 5.4 The U.S. Census 5.5 Very Large Numbers 5.6 Exploring Base-0 Blocks, Polygons, Perimeter Combine Lessons 5.4 and 5.5 Optional: Use Math Masters for multiplication or journal p.3 and Area 5.7 Decimals with Base-0 Blocks Incorporate money 5.8 Tenths and Hundredths 5.9 Tenths and Hundredths of a Meter 5.0 Application: Rainfall 5. Place Value in Decimals 5.2 Sunrise-Sunset Line Graphs 0 Combine Lessons 5.9, 5.0, and 5. Optional Lesson - Note Home Link 5.3 Unit 5 Review and Assessment 2 Goal: Finish Unit by Winter Break (December 2st)

4 Semester 2: ~ 89 School Days School Year Unit 6 - Geometry S4. GLE: Geometric figures are described by their attributes a. Reason with shapes and their attributes. i. Explain that shapes in different categories may share attributes and that the shared attributes can define a larger category.. Identify rhombuses, rectangles, and squares as examples of quadrilaterals, and draw examples of quadrilaterals that do not belong to any of these subcategories. ii. Partition shapes into parts with equal areas. Express the area of each part as a unit fraction of the whole. Note: Unit 7 and 8 are switched due to multiplication & division continuity. 6. Investigating Line Segments, Rays, and Lines Great unit to incorporate art 6.2 Parallel and Intersecting 6.3 Angles and Turns 6.4 Triangles 6.5 Quadrangles 6.6 Polygons Use venn diagrams to explore attributes 6.7 Drawing Angles 6.8 Measuring Angles 6.9 Symmetry Combine Lessons 6.7 and 6.8 Additional activities are coloring or painting geometrical designs with lines of symmetry 6.0 Exploring Congruence, Counting, and Decimals 0 Optional Lesson - teach congruence in another lesson 6. Polyhedrons - Part Focus on basic 3-D shapes 6.2 Polyhedrons - Part 2 0 Optional Lesson 6.3 Unit 6 Review and Assessment 2 Goal: Finish Unit by January 25th Unit 8 - Fractions 8. Naming Parts with Fractions 2 S. GLE2: Parts of a whole can be modeled and represented in different ways 8.2 Exploring Fractions, Re-Forming Squares, and a. Develop understanding of fractions as numbers. Combinations whole is partitioned into b equal parts; describe a fraction a/b as 8.3 Number-line Posters for Fractions i. Describe a fraction /b as the quantity formed by part when a the quantity formed by a parts of size /b. ii. Describe a fraction as a number on the number line; represent 8.4 Equivalent Fractions 2 fractions on a number line diagram. iii. Explain equivalence of fractions in special cases, and compare 8.5 Comparing Fractions fractions by reasoning about their size. S4. GLE: Geometric figures are described by their attributes a. Reason with shapes and their attributes. ii. Partition shapes into parts with equal areas. Express the area 8.7 Fractions in Number Stories of each part as a unit fraction of the whole. 8.8 Unit 8 Review and Assessment 2 Further explorations needed of fractions as a concept (S.GLE2 a3 for details) 8.6 Fractions Greater Than One Supplement with pattern blocks Goal: Finish by February 5th

5 School Year Semester 2: ~ 89 School Days Unit 7 - Multiplication & Division S. GLE: Use place value and properties of operations to perform multi-digit arithmetic. a. Multiply one-digit whole numbers by multiples of 0 in the range 0 90 using strategies based on place value and properties of operations. S. GLE3: Multiplication and division are inverse operations and can be modeled in a variety of ways b. Apply properties of multiplication and the relationship between multiplication and division. i. Apply properties of operations as strategies to multiply and divide. ii. Interpret division as an unknown-factor problem. c. Multiply and divide within 00. i. Fluently multiply and divide within 00, using strategies such as the relationship between multiplication and division or properties of operations. ii. Recall from memory all products of two one-digit numbers. d. Solve problems involving the four operations, and identify and explain patterns in arithmetic. i. Solve two-step word problems using the four operations. ii. Represent two-step word problems using equations with a letter standing for the unknown quantity. iii. Assess the reasonableness of answers using mental computation and estimation strategies including rounding. iv. Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations. Unit 9 - Multiplication & Division S. GLE3: Multiplication and division are inverse operations and can be modeled in a variety of ways a. Represent and solve problems involving multiplication and division. i. Interpret products of whole numbers. ii. Interpret whole-number quotients of whole numbers. iii. Use multiplication and division within 00 to solve word problems in situations involving equal groups, arrays, and measurement quantities. iv. Determine the unknown whole number in a multiplication or division equation relating three whole numbers. v. Model strategies to achieve a personal financial goal using arithmetic operations (PFL) d. Solve problems involving the four operations, and identify and explain patterns in arithmetic. i. Solve two-step word problems using the four operations. ii. Represent two-step word problems using equations with a letter standing for the unknown quantity. iii. Assess the reasonableness of answers using mental computation and estimation strategies including rounding. iv. Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations. 7. Patterns in Products 7.2 Multiplication Facts Survey 7.3 Fact Power 7.4 Number Models with Parentheses 7.5 Scoring in Basketball 7.6 Extended Facts: Multiplication and Division 7.7 Estimating Costs 7.8 Extended Facts: Products of Tens 7.9 Exploring Ratios and Geometric Figures Supplement with pattern blocks 7.0 Unit 7 Review and Assessment 2 Goal: Finish Unit by Spring Break (March 4th) 9. Multiplying and Divide with Multiples of 0, 00 and Use Mental Math to Multiply 9.3 Exploring Arrays, Areas, and Fractions Connect to area 9.4 A Multiplication Algorithm Buying at the Stock-Up Sale 9.6 Factors of Whole Numbers 2 day factors, days partial products 9.7 Sharing Money 9.8 Broken-Calculator Division 9.9 Lattice Multiplication 9.0 Exploring Arrays, Equilateral Triangles, and Strength of Paper Connect to area 9. Products of 2-Digit Numbers - Part 9.2 Products of 2-Digit Numbers - Part Positive and Negative Numbers 9.4 Unit 9 Review and Assessment 2 Goal: Finish Unit by April th

6 School Year Semester 2: ~ 89 School Days Unit 0 - Measurement & Data S3. GLE: Visual displays are used to describe data i. Draw a scaled picture graph and a scaled bar graph to represent a data set with several categories. ii. Solve one- and two-step how many more and how many less problems using information presented in scaled bar graphs. iii. Generate measurement data by measuring lengths using rulers marked with halves and fourths of an inch. Show the data by making a line plot, where the horizontal scale is marked off in appropriate units whole numbers, halves, or quarters. S4. GLE3: Time and attributes of objects can be measured with appropriate tools a. Solve problems involving measurement and estimation of intervals of time, liquid volumes, and masses of objects. iv. Measure and estimate liquid volumes and masses of objects using standard units of grams (g), kilograms (kg), and liters (l). v. Use models to add, subtract, multiply, or divide to solve one-step word problems involving masses or volumes that are given in the same units. 0. Review: Length Supplement with measurement Foss Kit 0.2 Volume 0.3 Exploring Volume 0 Optional Lesson 0.4 Weight 0.5 Weight and Volume 0.6 Capacity 0.7 The Mean and The Median Focus on median and mode 0.8 Calculating the Mean 0 Optional Lesson (mean not in standards) 0.9 Calculator Memory 0 Optional Lesson 0.0 Frequency Distributions 2 0. Coordinate Grids 0.2 Unit 0 Review and Assessment 2 Goal: Finish Unit by May 3rd Note: Unit can be used to supplement Unit 8. The Language of Chance Events Unit - Probability, End-of-Year Review.2 A Pattern-Block Toss Experiment S3. GLE: Visual displays are used to describe data.3 A Coin-Toss Experiment i. Draw a scaled picture graph and a scaled bar graph to.4 Spinner Experiments represent a data set with several categories..5 Designing Spinners 0 Optional Lesson ii. Solve one- and two-step how many more and how many.6 Blocks-in-a-Bag Experiment less problems using information presented in scaled bar graphs. iii. Generate measurement data by measuring lengths using.7 Using Data to Predict Outcomes rulers marked with halves and fourths of an inch. Show the data.8 The Length-of-Day Project Revisited 0 Optional Lesson by making a line plot, where the horizontal scale is marked off in.9 National High/Low Temperatures Summaries 0 Optional Lesson appropriate units whole numbers, halves, or quarters..0 Unit Review and Assessment 2 Goal: Finish Unit by May 6th Use additional day for student generated questions, collecting, and displaying data Summative Assessment Total Days Used Number of "Free" Days