Multiplication and Division Lesson 1: Multiplication models, properties and basic facts

Practice questions

1. Draw several diagrams and/or interpretations for 3×4 (your work will be judged on the completeness of the variety of models represented).

2. Explain what these words mean:

3. Draw a diagram and write an explanation of the commutative property using 4×6=6×4 as an example.

4. Draw a diagram and write an explanation of the distributive property using 3×8 = 3×5+3×3 as an example.

5. Describe several ways to figure out the product: 4×7 (assume that "you" don't have 4×7 (or 7×4) memorized, though "you" do know some other multiplication facts).  Tell which of the strategies you described was the most efficient, and what made it efficient (efficient means that you were able to find the answer quickly using that strategy).

6. Describe how to solve 6×9 using the distributive property by using:

a. the strategy for 6
b. the strategy for 9

7. Describe strategies for figuring out:

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