# Multiplying on a Number Line

This is a complete lesson for third grade with teaching and exercises about multiplying on a number line. Students write multiplications that match the repeated jumps on a number line. They use skips of 3 and skips of 4 on the number line to help them multiply by 3 and by 4. Students also draw the number line jumps to match given multiplications.

 Five jumps, each jump is two steps.   5 × 2 = 10. Four jumps, each jump is three steps.   4 × 3 = 12. 1. Write the multiplication sentence that the jumps on the number line illustrate. ` a.  _____ × ______ = ________ b.   _____ × ______ = ________ c.   _____ × ______ = ________ d.   _____ × ______ = ________

2. Draw more “skips” of three. 3. Multiply times 3. Use the skips above to help.

 a.  5 × 3 = ______     4 × 3 = ______ b.  8 × 3 = ______     7 × 3 = ______ c.  6 × 3 = ______     3 × 3 = ______ d.  2 × 3 = ______     9 × 3 = ______

4. How many skips of three are needed?  Use the number line above to help.

 a.  _____ × 3 = 24     _____ × 3 = 9 b.  _____ × 3 = 18     _____ × 3 = 15 c.  _____ × 3 = 21     _____ × 3 = 12 d.  _____ × 3 = 6     _____ × 3 = 3

5. Draw more “skips” of four. 6. Multiply times 4. Use the skips above to help.

 a.  2 × 4 = ______     4 × 4 = ______ b.  6 × 4 = ______     7 × 4 = ______ c.  8 × 4 = ______     3 × 4 = ______ d.  5 × 4 = ______     1 × 4 = ______

7. How many skips of four are needed?  Use the number line above to help.

 a.  _____ × 4 = 24     _____ × 4 = 8 b.  _____ × 4 = 0     _____ × 4 = 12 c.  _____ × 4 = 16     _____ × 4 = 8 d.  _____ × 4 = 20     _____ × 4 = 4

8. Continue and draw jumps to fit the multiplication problem. a.  6 × 4 = ________ b.  5 × 5 = ________ c.  6 × 5 = ________ d.  7 × 4 = ________ e.  3 × 10 = ________

9. Add repeatedly (or skip-count) to multiply.  You can use the number line to help. a.  3 × 2 = ______     6 × 3 = ______     4 × 5 = ______ b.  5 × 2 = ______     7 × 4 = ______     3 × 8 = ______ c.  5 × 6 = ______     3 × 9 = ______    4 × 10 = ______ d.  3 × 10 = ______     2 × 11 = ______     3 ×  7  = ______

This lesson is taken from Maria Miller's book Math Mammoth Multiplication 1, and posted at www.HomeschoolMath.net with permission from the author. Copyright © Maria Miller.

#### Math Mammoth Multiplication 1

A self-teaching worktext for 3rd grade that covers multiplication concept from various angles, word problems, a guide for structural drilling, and a complete study of all 12 multiplication tables.

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