T3
Use the Distributive Property to generate equivalent expressions *
NS.4
Lesson 1
Direct Instruction
Notes
The secret I use to multiply large numbers mentally is called the Distributive Property.
First, I decompose one of the factors in the expression.
For example, in the expression 7 ⋅ 12, I decompose the 12 into 10 + 2. Then, I multiply the 7 by 10 and the 7 by 2 and add up the products.
7 ⋅ 12 = 7 (10 ⋅ 2)
* to prove that this works, you can simplify both sides to get 84 = 84
I want you to think of the next 10 problems like puzzles.
When you figure it out, be sure to share the secret with each of your group members.
Consolidation
Notes
#1 notice that the number outside of the parentheses is a common factor of the numbers on the other sides of the equals sign
My Responsibilities
Due 11/14
1. CYUqs (Be sure to do at least 8 of the medium questions!)
You are all going to do some of these. But, there are three things for you to keep in mind. First, do your own. Second, you choose where to start. Third, check your work with the students around you, and if you need help, get help. And if someone needs help, give help.
Check answers to make sure you are understanding
2. Be sure that your notes are your notes are up to date:
3. Stuck? Choose to persevere: review your thinking, try different approaches, ask for help, search
Lesson 2
Launch
Notes
Show the distributive property algorithm, starting with an expression and sharing the factor outside the parentheses with the terms inside.
Note: If you simplify both sides (working inside parentheses first), you will get the same numbers (a.k.a they are equivalent expressions)
Lesson 1
Direct Instruction
Notes
The secret I use to multiply large numbers mentally is called the Distributive Property.
First, I decompose one of the factors in the expression.
For example, in the expression 7 ⋅ 12, I decompose the 12 into 10 + 2. Then, I multiply the 7 by 10 and the 7 by 2 and add up the products.
7 ⋅ 12 = 7 (10 ⋅ 2)
* to prove that this works, you can simplify both sides to get 84 = 84
I want you to think of the next 10 problems like puzzles.
When you figure it out, be sure to share the secret with each of your group members.
Consolidation
Notes
#1 notice that the number outside of the parentheses is a common factor of the numbers on the other sides of the equals sign
My Responsibilities
Due 11/14
1. CYUqs (Be sure to do at least 8 of the medium questions!)
You are all going to do some of these. But, there are three things for you to keep in mind. First, do your own. Second, you choose where to start. Third, check your work with the students around you, and if you need help, get help. And if someone needs help, give help.
Check answers to make sure you are understanding
2. Be sure that your notes are your notes are up to date:
3. Stuck? Choose to persevere: review your thinking, try different approaches, ask for help, search
Lesson 2
Launch
Notes
Show the distributive property algorithm, starting with an expression and sharing the factor outside the parentheses with the terms inside.
Note: If you simplify both sides (working inside parentheses first), you will get the same numbers (a.k.a they are equivalent expressions)