Example-based Problem Sets for Grades 4 & 5

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4th Grade Materials

 

Complete Student Workbook

(includes all assignments)

color PDF

grayscale PDF

Teacher Edition

(includes all assignments)

color PDF

grayscale PDF

Individual Assignments:

Multi-Digit Numbers

  1. Place Value: Multiplication
  2. Place Value: Division
  3. Writing Numbers in Expanded Form
  4. Writing Numbers in Word and Standard Form
  5. Comparing Multi-Digit Numbers (Part 1)
  6. Comparing Multi-Digit Numbers (Part 2)
  7. Rounding Multi-Digit Numbers (Part 1)
  8. Rounding Multi-Digit Numbers (Part 2)
  9. Adding Multi-Digit Numbers
  10. Multi-Step Addition Word Problems
  11. Subtracting Multi-Digit Numbers
  12. Multi-Step Subtraction Word Problems

 

Measurement

  1. Converting Units (Part 1)
  2. Converting Units (Part 2)
  3. Measurement Conversion Tables
  4. Time Conversion Tables
  5. Measurement Word Problems
  6. Using Diagrams to Solve Word Problems
  7. Multiplicative Comparison Problems (Part 1)
  8. Multiplicative Comparison Problems (Part 2)
  9. Multi-Step Measurement Problems (Part 1)
  10. Multi-Step Measurement Problems (Part 2)
  11. Applying Area and Perimeter

 

Multiplication and Division

  1. Multiplication as Comparison
  2. Representing Multiplication as Comparison
  3. Multiplying Single-Digit Numbers by Multiples of 10
  4. Multiplying Two-Digit Numbers by Multiples of 10
  5. Multiplying Single- and Multi-Digit Numbers
  6. Multiplying Two-Digit Numbers Together
  7. Dividing Multi-Digit Numbers
  8. Division with Remainders
  9. Factors
  10. Multiples
  11. Multi-Step Multiplication Word Problems
  12. Multi-Step Division Word Problems

 

Fraction Basics

  1. Determining Unit Fractions
  2. Decomposing Fractions
  3. Equivalent Fractions (Part 1)
  4. Equivalent Fractions (Part 2)
  5. Comparing Fractions (Part 1)
  6. Comparing Fractions (Part 2)
  7. Addition and Subtraction of Fractions
  8. Addition and Subtraction of Mixed Numbers
  9. Fraction Addition Word Problems
  10. Fraction Subtraction Word Problems
  11. Creating Fraction Line Plots
  12. Using Fraction Line Plots to Solve Problems
  13. Patterns with Fractions

 

Decimals and Fractions

  1. Notating Decimals and Fractions
  2. Representing Decimals and Fractions
  3. Expressing Tenths and Hundredths
  4. Adding Tenths and Hundredths
  5. Comparing Decimals Visually
  6. Comparing Decimals Numerically
  7. Multiplying Unit Fractions
  8. Multiplying Fractions and Whole Numbers
  9. Fraction Multiplication Word Problems (Part 1)
  10. Fraction Multiplication Word Problems (Part 2)

 

Geometry

  1. Lines and Angles (Part 1)
  2. Lines and Angles (Part 2)
  3. Measuring Angles Using 180° Protractors
  4. Measuring Angles Using 360° Protractors
  5. Adding Angle Measurements (Part 1)
  6. Adding Angle Measurements (Part 2)
  7. Drawing Lines of Symmetry
  8. Using Lines of Symmetry to Draw Figures
  9. Classifying Triangles by Side Lengths
  10. Classifying Triangles by Angle Measurements

5th Grade Materials

 

Complete Student Workbook

(includes all assignments)

color PDF

grayscale PDF

Teacher Edition

(includes all assignments)

color PDF

grayscale PDF

Individual Assignments:

Multi-Digit Numbers

  1. Multiplying Multi-Digit Numbers (Part 1)
  2. Multiplying Multi-Digit Numbers (Part 2)
  3. Dividing Multi-Digit Numbers (Part 1)
  4. Dividing Multi-Digit Numbers (Part 2)
  5. Multi-Digit Numbers Word Problems

 

Place Value

  1. Multiplying by Powers of 10
  2. Dividing by Powers of 10
  3. Understanding Exponents
  4. Multiplying and Dividing by Powers of 10 (Exponents)

 

Decimals

  1. Writing Decimals
  2. Comparing Decimals
  3. Rounding Decimals (Part 1)
  4. Rounding Decimals (Part 2)
  5. Adding Decimals (Part 1)
  6. Adding Decimals (Part 2)
  7. Subtracting Decimals (Part 1)
  8. Subtracting Decimals (Part 2)
  9. Writing Numerical Expressions
  10. Writing Numerical Expressions from Word Problems
  11. Multiplying Decimals
  12. Modeling Multiplying Decimals
  13. Dividing Decimals Using Place Value
  14. Dividing Decimals
  15. Converting Units
  16. Converting Units Word Problems

 

Basic Operations with Fractions

  1. Fractions as Division
  2. Fractions as Division Word Problems
  3. Adding Fractions with Unlike Denominators
  4. Addition Word Problems
  5. Subtracting Fractions with Unlike Denominators
  6. Subtraction Word Problems
  7. Using Benchmark Fractions to Estimate Answers (Part 1)
  8. Using Benchmark Fractions to Estimate Answers (Part 2)
  9. Fraction Line Plots (Part 1)
  10. Fraction Line Plots (Part 2)
  11. Addition and Subtraction Expressions with Fractions
  12. Multiplication and Division Expressions with Fractions

 

Multiplying and Dividing Fractions

  1. Multiplying a Fraction by a Whole Number
  2. Multiplying a Fraction by a Fraction
  3. Area Problems (Part 1)
  4. Area Problems (Part 2)
  5. Multiplication as Scaling (Part 1)
  6. Multiplication as Scaling (Part 2)
  7. Multiplication Word Problems
  8. Area Word Problems with Fractions
  9. Division of a Fraction by a Whole Number
  10. Division of a Whole Number by a Fraction
  11. Division Word Problems (Part 1)
  12. Division Word Problems (Part 2)

 

Geometry/Volume

  1. Properties of 2D Figures
  2. Hierarchy of 2D Figures
  3. Properties of Volume (Part 1)
  4. Properties of Volume (Part 2)
  5. Counting Unit Cubes (Part 1)
  6. Counting Unit Cubes (Part 2)
  7. Packing Unit Cubes (Part 1)
  8. Packing Unit Cubes (Part 2)
  9. Volume Formula (Part 1)
  10. Volume Formula (Part 2)
  11. Multiple Prisms
  12. Prisms with Unlabeled Dimensions

 

Ordered Pairs

  1. Graphing on the Coordinate Plane (Part 1)
  2. Graphing on the Coordinate Plane (Part 2)
  3. Graphing on the Coordinate Plane (Part 3)
  4. Graphing on the Coordinate Plane (Part 4)
  5. Sketching Line Graphs
  6. Interpreting Line Graphs
  7. Generating Number Patterns
  8. Graphing Number Patterns

More math materials from SERP:

Development of MathByExample was led by Julie Booth (Temple University) through a SERP collaboration with several school districts. Major contributors to program development include: Kelly McGinn and Laura Young (Temple University), Allie Huyghe, Matthew Ellinger, Emily Schwartz, Avery Jones, and David Dudley (SERP). Special thanks! to the teachers, administrators, and students in our partner districts—Baltimore City Schools, Public Schools of Beloit, Public Schools of Brookline, Fort Madison Community School District, Oak Park Elementary District 97, and Penns Valley Area School District—who were essential to the project’s success, providing feedback at critical points and inviting us into their classrooms along the way!

The collaboration has been supported to conduct this work by the Institute of Education Sciences, U.S. Department of Education, through Grant R305A150456 to Strategic Education Research Partnership Institute. The information provided does not represent views of the funders.

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