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[br]Create an array to show distributive property[br]Use a new multiplication strategy[br]Group count[br]
Take out your notebooks:
A violin has 4 strings. How many strings are there on 5 violins?[br]Write a multiplication equation to solve.[br]
Error Analysis/Mathematical discourse:
Emily was trying to solve the problem 4×6 and wrote down her answer as 24.[list=1][*]Can you identify what Emily did correctly and what she might have misunderstood?[/*][*]If Emily used an array to represent 4×6, how many total squares would be in her array?[/*][*]Can you create your own story problem that uses 4×6 and shows how you would solve it?[/*][/list]
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. [br](Do in your math notebook)[br][br]1. [math]3\times5[/math][br]2. [math]4\times7[/math][br]3. [math]2\times8[/math]
Derive:
Derive the following multiplication sentences using distributive property.[br]1. [math]3\times5[/math][br]2. [math]6\times4[/math][br]3. [math]2\times8[/math][br]4. [math]7\times4[/math]
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.[br]
Create:
Create a word problem that incorporates using arrays and the distributive property.[br]
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?[br]
RECAP:
If you are finished with everything, watch the video below to recap what was learned today. Is there anything that still confuses you?[br]
Close

Information: Distributive Property using Arrays