For parents · Kindergarten to 2nd grade

Number bonds and making ten

Number bonds explained for parents: part-part-whole, making ten, how they link to the Common Core standards, a worked example and 3 ten-minute games to play at home.

What it is

A number bond shows how a number breaks into two parts: 10 is 7 and 3. It is usually drawn as a whole in one circle joined to two parts. The name comes from widely used math programs; the Common Core standards describe the same idea as decomposing numbers.

In kindergarten, children break numbers up to 10 into pairs in more than one way and find the number that makes 10 with any number from 1 to 9 (K.OA.A.3 and K.OA.A.4). In 1st grade they use strategies such as making ten to add and subtract within 20 (1.OA.C.6), and by the end of 2nd grade they know all sums of two one-digit numbers from memory (2.OA.B.2).

A worked example

Making ten to solve 8 + 6:

  1. 8 needs 2 more to make 10 (the bond above).
  2. Break 6 into 2 and 4.
  3. 8 + 2 = 10, then 10 + 4 = 14. So 8 + 6 = 14.
  4. This is the example the Common Core standard itself gives: 8 + 6 = 8 + 2 + 4 = 10 + 4 = 14.

Common mistakes parents make (with the best intentions)

  • Seeing the strategy as "the long way". Making ten builds the number sense that later makes mental math fast.
  • Practicing addition facts only. Each bond also gives subtraction facts: 10 − 8 = 2.
  • Moving on before bonds to 10 are automatic.

Three 10-minute ways to help at home

Hidden counters

Put 10 coins under a cup, then show some. Your child says how many are still hiding.

Make-ten Go Fish

Play Go Fish with cards 1 to 9, but a pair is two cards that make 10.

Snack bonds

Split 7 crackers onto two plates in different ways (3 and 4, 5 and 2). Say each bond out loud.

Make a practice sheet on this

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