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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.

Download ($5.20). Also available as a printed copy.

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