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Skills Covered

  • Use turn-around facts: the order does not change the sum
  • Add zero to a number
  • Make a ten to add three numbers
  • Decide whether an equation is true or false
  • Find a missing number in an equation
  • Add within 20

How to Use This Pack

Five pages on the properties of addition, in words first graders use. Page 1 shows six cube trains and the same trains turned around: students write an addition fact for each and see that the sum stays the same. Page 2 gives twelve facts to write as turn-around facts. Page 3 adds zero, then marks eight equations True or False, such as 6 + 3 = 3 + 6 and 4 + 0 = 0. Page 4 adds three numbers by circling the two that make 10 first. Page 5 mixes all three ideas into missing-number equations like 9 + 6 = 6 + __ and 3 + 7 + 5 = 10 + __.

In the Classroom

Before page 1, have students build a cube train in two colors, write its addition fact, then turn the train around and write the new fact. Page 3's True or False equations make a good whole-class talk: what does the equal sign say about the two sides?

At Home

Line up two kinds of small toys or snacks, say 4 grapes and 3 crackers, and ask how many in all. Then swap their order and ask again. On page 4, let your child find the pair that makes 10 before adding the third number.

Tips for Success

  • A turn-around fact uses the same numbers in the other order
  • Adding zero leaves a number the same
  • Look for 1 and 9, 2 and 8, 3 and 7, 4 and 6, or 5 and 5 to make a ten
  • An equation is true when both sides of the equal sign have the same value

Common Core Standards Alignment

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

  • 1.OA.A.2 Solve story problems where three numbers are added together for a total of 20 or less.
  • 1.OA.B.3 Use the order and grouping rules of addition as shortcuts, for example knowing 5 + 9 gives the same answer as 9 + 5.
  • 2.NBT.B.6 Find the sum of two, three or four two-digit numbers using place value and properties of addition.

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

Properties of Addition

Grade 1st – 2nd

A 5-page properties of addition pack for 1st and 2nd grade. Turn cube trains around to see that 3 + 5 and 5 + 3 make the same sum, write turn-around facts, add zero, mark equations true or false, make a ten first to add three numbers, and use all three ideas to find missing numbers. Sums within 20. Answer keys included.

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What’s Included

  • 5 worksheets, each with a matching answer key (10 pages)
  • Cube trains that show turn-around facts
  • Adding zero, true or false, and make-a-ten pages
  • Missing-number equations, all sums within 20
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