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The ideas in this multiplication lesson are taken from Multiplication 1 ebook. Only a few examples of each problem type are shown; you should make more problems of each kind for the student. Multiplication in two ways (showing it is commutative)
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Three rows; each row has four dogs. 4 + 4 + 4 dogs, or 3 times 4 dogs. 3 × 4 = 4 + 4 + 4 = 12 | 3 + 3 + 3 + 3 = 12 Four
columns; 3 + 3 + 3 + 3 dogs, or 4 times 3 dogs. 4 × 3 = 3 + 3 + 3 + 3 = 12 | |||||||||
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One row has five giraffes. __ giraffes, or __ times __ giraffes. 1 × 5 = 5 |
Five columns, each has one giraffe. __ + __ + __ + __ + __ giraffes, 5 × 1 = 1 + 1 + 1 + 1 + 1 = __ |
| You can do the same multiplication in two different ways but the result is the same. The order of numbers to be multiplied does not matter. |
1. Group the animals in two different ways and make the addition and multiplication facts to fit the pictures. In what cases you get the same fact either way?
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2. Draw X marks and group them in two ways to illustrate the two ways to multiply.
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6 × 2 = ___ |
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4 × 10 = ___ |
10 × 4 = ___ |
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Multiplying two ways on the number line
5 × 2 = 10 2 × 5 = 10
7 × 2 = 14 2 × 7 = 14 |
3. For each number line, write the two multiplication sentences that the arrows portray.


4. Write down the multiplication sentence. Then write the multiplication the other way, and draw the arrows for that multiplication sentence.

5. Skip-count to fill the
multiplication table of 3. How does the picture connect with it?

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6. Skip-count and fill in the multiplication table of 4. Draw arrows in the picture to illustrate the table.
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Learn the upper |
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Learn... - Multiplication concept - Times tables - Word problems |
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