MJ2

Ch 1.6 – Algebraic Properties

Quiz # 1

Bellwork

Take out yesterday’s assignment and leave it on your desk for me to check!

Solve and Check

1. x + 15 = 19

2. 13k = 80.6

Assignment Review

Text p. 26 # 14 – 40

Objective

1. Students will demonstrate their understanding of evaluating and solving algebraic expressions and equations

2. Students will use addition and multiplication properties to solve problems.

Before we begin…

Please clear your desk You may write on the quiz form Provide the answers ONLY! You may use a calculator if you have one… Make sure that you have your name on the

quiz form and are using pencil (1 letter grade deduction each for not following directions).

When you are finished, please read text p. 30 - 31

Quiz

Ch 1 Resource book p. 61

Before we begin…

Please take out your notebook… Today we will discuss 4 different algebraic

properties, they are: Distributive Property Commutative Property Associative Property Identity Property

Raise your hand if you know what any of these words mean…

Distributive Property

The distributive property states…To add a sum by a number multiply

each addend of the sum by the number outside the parenthesis.

In other words…Multiply the number outside of the parenthesis by each number inside the parenthesis…

Here is what it looks like…

Example 1

5(3 + 2)

15 + 10 = 25

Proof: 5(3+2) = 5(5) = 25

Distributive Property

There are 2 ways that you can see the distributive property

With the multiplier on the left of the parenthesis

With the multiplier on the right of the parenthesis

Example5(2 + 3) OR (2 + 3)5In either event you multiply what’s on the out side of the parenthesis with EACH term inside the parenthesis

Comments

The distributive property is a key algebraic concept…make no mistake about it…you are REQUIRED to be able to recognize and work with the distributive property if you are to pass Algebra 1, which is the first high school math class you will take!

Your turn

In the notes section of your notebook use the distributive property to rewrite the expression

1. 8(5 + 7)

2. (2 + 9)6

3. (6 – 2)5

Commutative Property

The commutative property states:The order in which two numbers are

added or multiplied does not change the sum or product

Here is what it looks like…

Example

Addition:

5 + 8 = 8 + 5

Multiplication:

2 ∙ 12 = 12 ∙ 2

Your Turn

In the notes section of your notebook use the commutative property to re-write and each expression

1. 6 + 3

2. 4 ∙ 2

3. 10 ∙ 8

4. 5 + 9

Associative Property

The associative property states:The way three numbers are grouped

when added or multiplied does not change the sum or product

Here is what it looks like…

Example

Addition:

2 + (6 + 7) = (2 + 6) + 7

Multiplication:

1 ∙ (3 ∙ 4) = (1 ∙ 3) ∙ 4

Your Turn

In the notes section of your notebook use the associative property to re-write each expression

1. 5 + (6 + 2)

2. 8(3 ∙ 6)

3. 6(4 ∙ 10)

4. (5 + 3) + 6

Identity Property

The Identity Property states:The sum of an addend and zero (0) is

the numberThe product of a factor and one is the

factor It is expected that you already know

this property…you may not know the name…but you should know how it works…

Here is what it looks like…

Example

Addition:

8 + 0 = 8

Multiplication:

9 ∙ 1 = 9

Your Turn

In the notes section of your notebook use the identity property to re-write each expression.

1. 8 + 0

2. 5 ∙ 1

3. 0 + 6

4. 1 ∙ 12

Summary

In the notes section of your notebook summarize the key concepts covered in today’s lesson.

Today we discussed:The 4 properties of addition &

multiplicationHow will you know the difference

between them?

Assignment For homework you will create a poster demonstrating the 4

properties for addition and multiplication. I will supply the poster paper Write your name, date, and Property Poster/period on the

BACK of the poster Section your poster into 4 equal sections. In each section you are to write the definition and give an

addition AND multiplication example for each property Use marker or colored pencil for your poster…You may

jazz up your poster with pictures or drawings that relate to the properties….

This assignment is due tomorrow…I expect a quality product from all students!