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Distributive Property using Arrays

Content Objectives:

3-N.10. Use arrays to show distributive property to break down units as a multiplication strategy.

At the end of the lesson, I will be able to:

Define distributive property Create an array to show distributive property Use a new multiplication strategy Group count
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Take out your notebooks:

A violin has 4 strings. How many strings are there on 5 violins? Write a multiplication equation to solve.

Error Analysis/Mathematical discourse:

Emily was trying to solve the problem 4×6 and wrote down her answer as 24.

  1. Can you identify what Emily did correctly and what she might have misunderstood?
  2. If Emily used an array to represent 4×6, how many total squares would be in her array?
  3. Can you create your own story problem that uses 4×6 and shows how you would solve it?

Vocabulary:

After doing these activities about creating arrays to show distributive property, how can you help a friend understand how distributive property is related to multiplication? Work with a buddy and write down your answer below.

Practice:

Use what you have learned so far to create an array, using the distributive property to find your answer. (Do in your math notebook) 1. 2. 3.

Derive:

Derive the following multiplication sentences using distributive property. 1. 2. 3. 4.

Model:

A bakery makes 5 different types of cupcakes. If each type has 8 cupcakes, how many cupcakes does the bakery make altogether? Draw, use distributive property and provide an equation for your answer.

Mia is organizing her toy cars. She has 7 boxes, and each box contains 3 toy cars. How many toy cars does Mia have in total? Draw, use distributive property, and provide an equation for your answer.

Create:

Create a word problem that incorporates using arrays and the distributive property.

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Briefly describe what you have learned today

Derive a multiplication equation from the distributive property 3 x (2 + 5) =

Sarah is making party bags for her friends. She plans to put 4 candies in each bag. If she is making 5 bags, how many candies does she need in total?

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RECAP:

If you are finished with everything, watch the video below to recap what was learned today. Is there anything that still confuses you?