Turn-Around Facts
Each array is turned on its side. Write both facts.
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This is sheet #70424601.
How to do it
- Count the rows and columns in the blue array.
- Do the same for the orange array.
- Write both facts. The products match.
Teaching tip
Turn the paper to show the orange array is the blue one turned sideways. This sheet is aligned with Common Core 3.OA.B.5.

About this worksheet
Arrays turned on their side, written as a pair of turn-around facts.
What kids practice
A few rules make multiplication much easier. Turn-around facts have the same product (3 × 7 = 7 × 3). A hard fact can be broken into two easy ones (6 × 7 = 6 × 5 + 6 × 2). Any number times 1 is that number, and any number times 0 is 0. Children also look for patterns in the times table, like products of 5 always ending in 0 or 5.
Watch for
- Thinking any number times 0 is that number, like 6 × 0 = 6.
- Breaking apart a fact but adding only one part back in.
- Thinking turn-around facts work for subtraction too. 7 − 3 is not 3 − 7.
It's free to print, with Fewer, Standard or More on the page and an answer key. See the full multiplication properties and patterns guide for 3rd grade.
More sheets in this set
- See it all
1. Multiplication Rules ChartThe turn-around, break-apart, grouping and times 1 and times 0 rules, each with an example.
3. Break Apart ArraysArrays split at a dashed line, like 6 × 7 = 6 × 5 + 6 × 2.
4. Zero and OneFacts with 0 and 1, including a few missing numbers, like ? × 1 = 7.
5. Times Table PatternsColor the odd products in a times table, then answer questions about even and odd products, the 5s, 4s and 9s.