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Features

  • Find the value of each side and circle True or False for equations like 300 + 45 = 400 − 55
  • Write = or ≠ between two expressions, and write an expression with the same value using another sign
  • Find the missing number in equations like 6 × □ = 3 × 12, and circle every number that makes a comparison true
  • Find the letter in equations like 250 ÷ k = 50 with a related equation
  • Match bar models to their equations and solve
  • Decide who is right, and write an equation with a letter for a story
  • Every page in color and in black and white
  • Answer keys included

Skills Covered

  • Read the equal sign as "has the same value as"
  • Decide whether an equation with any of the four operations is true
  • Write = or ≠ between two expressions
  • Find the missing number that makes an equation true
  • Solve for a letter in any place with a related equation
  • Match bar models and stories to equations

How to Use This Pack

Five pages on equations with all four operations and 4th grade numbers. Page 1 has students write the value of each side and circle True or False, as in 48 ÷ 6 = 2 × 4 and 12 × 5 = 50 + 5, then explain two, including the trap 6 × 8 = 48 + 2. Page 2 writes = or ≠ between two expressions with both sides worked out, then writes an expression with the same value using the sign shown, such as 6 × 4 = 48 ÷ 2. Page 3 finds the missing number in equations like 7 + 5 = 9 + □ and 140 ÷ □ = 60 ÷ 3, then circles every number that makes a comparison like 6 × □ > 40 true. Page 4 solves for a letter in any place, such as 1,000 − p = 640 and 126 = 9 × b, with a related equation, and matches four bar models to their equations. Page 5 shows two children who disagree about an equation: students circle the one who is right and tell why, then write an equation with a letter for two stories. Each part starts with a worked example.

In the Classroom

Write 250 + 150 = 500 − 100 on the board and ask for a show of hands: true or false? Students who say false often think both sides must look alike, so have a partner work out each side before anyone explains. Before page 4, turn n × 8 = 96 into its related equation 96 ÷ 8 = n out loud, and ask which one is easier to work out. Page 5 makes a good partner task: one partner defends each child, then they agree.

At Home

Say an equation out loud, such as "nine times twelve equals one hundred eighteen", and ask whether it is true. Then hide a number: "something times six equals forty-two" and let your child find it and say the related equation.

Tips for Success

  • Read the equal sign as "has the same value as", not "the answer is"
  • Find the value of each side on its own, then compare the two values
  • For a missing number, work out the side with no box first
  • A related equation finds a letter: n × 8 = 96 is the same as 96 ÷ 8 = n
  • Check an answer by putting it back in: both sides must have the same value

Common Core Standards Alignment

This pack supports the following Common Core State Standards for Mathematics:

  • 3.OA.A.4 Solve for the missing number in multiplying or dividing equations, such as 7 × ? = 42 or ? ÷ 3 = 6.

© Copyright 2010. National Governors Association Center for Best Practices and Council of Chief State School Officers. All rights reserved.

Equations with All Four Operations

4th Grade

The equal sign with addition, subtraction, multiplication and division on both sides, and letters that stand for unknown numbers. Students decide whether equations are true, write = or ≠, find missing numbers and letters, match bar models and check who is right.

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What’s Included

  • 5 worksheets in color and in black and white, with answer keys (15 pages)
  • True or false with both sides worked out, and = or ≠ between expressions
  • Missing numbers, comparisons with < and >, and letters for unknowns with related equations
  • Bar models to match, "Who is right?" questions and story equations, with sample answers on the key
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