Math

Table of Contents

  • Unit 1: Understand Numbers and Operations
      - Chapter 1: Place Value and Number Sense
        - 1.1 Benchmark Numbers
        - 1.2 Understand Place Value
        - 1.3 Place Value Through Hundred Thousands
        - 1.4 Place Value Through Millions
        - 1.5 Problem Solving Skill: Use a Graph
      - Chapter 2: Compare and Round Numbers
        - 2.1 Compare Numbers
        - 2.2 Order Numbers
        - 2.3 Problem Solving Strategy: Make a Table
        - 2.4 Round Numbers
      - Chapter 3: Add and Subtract Greater Numbers
        - 3.1 Estimate Sums and Differences
        - 3.2 Use Mental Math Strategies
        - 3.3 Add and Subtract 4-Digit Numbers
        - 3.4 Subtract Across Zeros
        - 3.5 Choose a Method
        - 3.6 Problem Solving Skill: Estimate or Find Exact Answer
      - Chapter 4: Algebra: Use Addition and Subtraction
        - 4.1 Expressions
        - 4.2 Use Parentheses
        - 4.3 Match Words and Expressions
        - 4.4 Use Variables
        - 4.5 Find a Rule
        - 4.6 Equations
        - 4.7 Problem Solving Strategy: Make a Model

  • Unit 2: Data, Graphing, and Time
      - Chapter 5: Collect and Organize Data
        - 5.1 Collect and Organize Data
        - 5.2 Find Median and Mode
        - 5.3 Line Plot
        - 5.4 Stem-and-Leaf Plot
        - 5.5 Compare Graphs
        - 5.6 Problem Solving Strategy: Make a Graph
      - Chapter 6: Analyze and Graph Data
        - 6.1 Double-Bar Graphs
        - 6.2 Read Line Graphs
        - 6.3 Make Line Graphs
        - 6.4 Choose an Appropriate Graph
        - 6.5 Problem Solving Skill: Draw Conclusions
      - Chapter 7: Understand Time
        - 7.1 Before and After the Hour
        - 7.2 A.M. and P.M.
        - 7.3 Elapsed Time
        - 7.4 Problem Solving Skill: Sequence Information
        - 7.5 Elapsed Time on a Calendar

  • Unit 3: Multiplication and Division Facts
      - Chapter 8: Practice Multiplication and Division Facts
        - 8.1 Relate Multiplication and Division
        - 8.2 Multiply and Divide Facts Through 5
        - 8.3 Multiply and Divide Facts Through 10
        - 8.4 Multiplication Table Through 12
        - 8.5 Multiply 3 Factors
        - 8.6 Problem Solving Skill: Choose the Operation
      - Chapter 9: Algebra: Use Multiplication and Division Facts
        - 9.1 Expressions with Parentheses
        - 9.2 Match Words and Expressions
        - 9.3 Equations
        - 9.4 Expressions with Variables
        - 9.5 Equations with Variables
        - 9.6 Find a Rule
        - 9.7 Problem Solving Strategy: Work Backward

  • Unit 4: Multiply by 1- and 2-Digit Numbers
      - Chapter 10: Multiply by 1-Digit Numbers
        - 10.1 Mental Math: Multiplication Patterns
        - 10.2 Estimate Products
        - 10.3 Multiply 2-Digit Numbers
        - 10.4 Model Multiplication
        - 10.5 Multiply 3-Digit Numbers
        - 10.6 Multiply 4-Digit Numbers
        - 10.7 Problem Solving Strategy: Write an Equation
      - Chapter 11: Understand Multiplication
        - 11.1 Mental Math: Patterns with Multiples
        - 11.2 Multiply by Multiples of 10
        - 11.3 Estimate Products
        - 11.4 Model Multiplication
        - 11.5 Problem Solving Strategy: Solve a Simpler Problem
      - Chapter 12: Multiply by 2-Digit Numbers
        - 12.1 Multiply by 2-Digit Numbers
        - 12.2 More About Multiplying by 2-Digit Numbers
        - 12.3 Choose a Method
        - 12.4 Practice Multiplication
        - 12.5 Problem Solving Skill: Multistep Problems

  • Unit 5: Divide by 1- and 2-Digit Divisors
      - Chapter 13: Understand Division
        - 13.1 Divide with Remainders
        - 13.2 Model Division
        - 13.3 Division Procedures
        - 13.4 Problem Solving Strategy: Predict and Test
        - 13.5 Mental Math: Division Patterns
        - 13.6 Estimate Quotients
      - Chapter 14: Divide by 1-Digit Divisors
        - 14.1 Place the First Digit
        - 14.2 Divide 3-Digit Numbers
        - 14.3 Zeros in Division
        - 14.4 Choose a Method
        - 14.5 Problem Solving Skill: Interpret the Remainder
        - 14.6 Find the Mean
      - Chapter 15: Divide by 2-Digit Divisors
        - 15.1 Division Patterns to Estimate
        - 15.2 Model Division
        - 15.3 Division Procedures
        - 15.4 Correcting Quotients
        - 15.5 Problem Solving Skill: Choose the Operation

  • Unit 6: Geometry
      - Chapter 16: Patterns with Factors and Multiples
        - 16.1 Factors and Multiples
        - 16.2 Factor Numbers
        - 16.3 Prime and Composite Numbers
        - 16.4 Find Prime Factors
        - 16.5 Problem Solving Strategy: Find a Pattern
      - Chapter 17: Plane Figures
        - 17.1 Lines, Rays, and Angles
        - 17.2 Line Relationships
        - 17.3 Congruent Figures and Motion
        - 17.4 Symmetric Figures
        - 17.5 Problem Solving Strategy: Make a Model
      - Chapter 18: Measure and Classify Plane Figures
        - 18.1 Turns and Degrees
        - 18.2 Measure Angles
        - 18.3 Circles
        - 18.4 Circumference
        - 18.5 Classify Triangles
        - 18.6 Classify Quadrilaterals
        - 18.7 Problem Solving Strategy: Draw a Diagram

  • Unit 7: Fractions and Decimals
      - Chapter 19: Understand Fractions
        - 19.1 Read and Write Fractions
        - 19.2 Equivalent Fractions
        - 19.3 Compare and Order Fractions
        - 19.4 Add and Subtract Fractions and Mixed Numbers
        - 19.5 Understand Decimals
      - Chapter 20: Add and Subtract Fractions and Mixed Numbers
        - 20.1 Add Like Fractions
        - 20.2 Subtract Like Fractions
        - 20.3 Add and Subtract Mixed Numbers
        - 20.4 Problem Solving Skill: Choose the Operation
        - 20.5 Add Unlike Fractions
        - 20.6 Subtract Unlike Fractions

  • Unit 8: Measurement and Geometry
      - Chapter 21: Customary Measurement
        - 21.1 Choose the Appropriate Unit
        - 21.2 Linear Measure
        - 21.3 Capacity
        - 21.4 Metric Measurement
        - 21.5 Weight
        - 21.6 Problem Solving Strategy: Compare Strategies

  • Unit 9: Probability, Algebra, and Graphing
      - Chapter 27: Outcomes
        - 27.1 Record Outcomes
        - 27.2 Tree Diagrams
        - 27.3 Problem Solving Strategy: Make an Organized List
        - 27.4 Predict Outcomes of Experiments
      - Chapter 28: Probability
        - 28.1 Probability as a Fraction
        - 28.2 More About Probability
        - 28.3 Test for Fairness
        - 28.4 Problem Solving Skill: Draw Conclusions

Key Concepts and Learning Activities

  • Benchmark Numbers,
      - Definition: A known quantity aiding in the understanding of size or amount.
      - Practice: Estimation tasks involving benchmark numbers, such as apples or cookies.

  • Place Value: Understanding the significance of digit placement in large numbers, comparing numbers, and adjusting values through operations.

  • Algebraic Concepts: Introducing variables and expressions, understanding equations, and solving problems methodically.

Illustrative Problem-Solving Techniques

  • Using graphs to represent data visually for tasks such as comparing food groups in a diet or generating line plots.

  • Developing strategies to approach multi-step problems involving both numerical computation and logical reasoning.