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Features

  • Multiply by 2 as a double: 2 × 7 = 7 + 7, with pairs of socks, mittens, shoes and bike wheels
  • Count fingers by 5s, nickels by 5s and dimes by 10s to multiply
  • Find the pattern: counting by 5s ends in 0 or 5, counting by 10s ends in 0
  • Groups with nothing in them and one in each group, then the rules for 0 and 1
  • Divide by 2, 5 and 10 by thinking of the times fact
  • Divide with 0 and 1, and spot the division that cannot be done
  • Solve mixed × and ÷ facts to answer two riddles
  • Every page in color and in black and white
  • Answer keys included

Skills Covered

  • Multiply by 2 by doubling
  • Multiply by 5 and 10 by counting by 5s and 10s
  • See the patterns in the 5s and 10s
  • Multiply by 0 and by 1
  • Divide by 2, 5 and 10 by thinking of a times fact
  • Divide 0 by a number, a number by itself and a number by 1
  • Know that we cannot divide by 0
  • Mix × and ÷ facts

How to Use This Pack

Five pages on the easiest facts to learn first, each one a lesson. Page 1 is the 2s: count pairs of socks, mittens and shoes and the wheels on bikes, and write each fact and its double (3 × 2 = 3 + 3 = 6), then write the double for six more facts and multiply six. Page 2 is the 5s and 10s: count fingers and nickels by 5s and dimes by 10s under the pictures, circle the numbers you say when you count by 5s or 10s and finish the pattern (they end in 0 or 5; in 0), then 12 facts. Page 3 is 0 and 1: write a fact for plates with nothing on them, one on each, or one plate holding all, circle the end of each rule (any number times 0 is 0; times 1 is the same number), then facts and missing numbers. Page 4 divides by 2, 5 and 10 by thinking of the times fact (35 ÷ 5 = 7 because 5 × 7 = 35), reads the rules for dividing with 0 and 1, practices them, and circles the division that cannot be done. Page 5 mixes 20 × and ÷ facts: each answer gives a letter of a riddle answer.

In the Classroom

Start the 2s with a pair of shoes: two children stand up, and the class counts shoes by 2s and then as a double (2 left shoes and 2 right shoes). For the 5s, have five children hold up one hand each and count the fingers by 5s together. For 0, set out four empty plates and ask how many cookies there are in all; for 1, put one cookie on each plate. Before page 4, ask the class to share 0 cookies among 6 friends, then 6 cookies among 6 friends, then 6 cookies with 1 friend.

At Home

Count things that come in pairs at home (socks, shoes, gloves) by 2s, and count coins: nickels by 5s and dimes by 10s. Ask quick facts in the car, like 7 × 2, 5 × 8 or 10 × 6, and then the division that goes with each, like 40 ÷ 5.

Tips for Success

  • A times 2 fact is a double: 2 × 8 = 8 + 8
  • Counting by 5s, every number ends in 0 or 5; counting by 10s, every number ends in 0
  • Any number times 0 is 0, and any number times 1 is the same number
  • To divide, think of the times fact: 45 ÷ 5 is 9 because 5 × 9 = 45
  • 0 divided by a number is 0, a number divided by itself is 1, and we cannot divide by 0

Common Core Standards Alignment

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

  • 3.OA.B.5 Use the commutative, associative and distributive properties to multiply and divide, such as finding 7 × 8 from 7 × 5 and 7 × 3.
  • 3.OA.C.7 Multiply and divide to 100 fluently with strategies, and by year's end instantly recall every product of two single-digit numbers.
  • 3.OA.D.9 Spot patterns in addition tables, times tables and other arithmetic, and explain them with properties, like why multiples of 5 end in 0 or 5.
  • 3.MD.C.7c Use tiles or area models to show that splitting a rectangle's side into two parts splits its area into two products (the distributive property).

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

Facts With 0, 1, 2, 5 and 10

3rd Grade

The multiplication and division facts with 0, 1, 2, 5 and 10, and the patterns that make them easy. Students double to multiply by 2, count by 5s and 10s, learn the rules for 0 and 1, divide by thinking of a times fact and crack a riddle code.

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What’s Included

  • 5 worksheets in color and in black and white, with answer keys (15 pages)
  • Pictures of pairs, hands, nickels, dimes and plates to multiply
  • The patterns and rules for 0, 1, 2, 5 and 10
  • Division by 2, 5 and 10, and with 0 and 1
  • A riddle code with 20 mixed facts
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