5 Minute Check Complete on your homework. Write an algebraic expression to represent the following. 1. Malinda goes bowling on Saturday. She bowls three games and pays $2 for shoe rental. 2. Kyle has 5 more than one fourth as many Legos as Tom. 3. Moesha’s music library has 17 more than 2 times the songs as Damian’s. 4. Ciera has three more the one half the number of purses as Aisha.

5 Minute Check Complete in your notebook. Write an algebraic expression to represent the following. 1. Malinda goes bowling on Saturday. She bowls three games and pays $2 for shoe rental.

5 Minute Check Complete in your notebook. Write an algebraic expression to represent the following. 1. Malinda goes bowling on Saturday. She bowls three games and pays $2 for shoe rental. 3g + $2, g = the cost of each game

5 Minute Check Complete in your notebook. Write an algebraic expression to represent the following. 2. Kyle has 5 more than one fourth as many Legos as Tom.

5 Minute Check L ÷ 4 + 5, L = Number of Legos + 5 Complete in your notebook. Write an algebraic expression to represent the following. 2. Kyle has 5 more than one fourth as many Legos as Tom. L ÷ 4 + 5, L = Number of Legos + 5

5 Minute Check Complete in your notebook. Write an algebraic expression to represent the following. 3. Moesha’s music library has 17 more than 2 times the songs as Damian’s.

5 Minute Check Complete in your notebook. Write an algebraic expression to represent the following. 3. Moesha’s music library has 17 more than 2 times the songs as Damian’s. 2D + 17, D = the number of songs in Damian’s library.

5 Minute Check Complete in your notebook. Write an algebraic expression to represent the following. 4. Ciera has three more the one half the number of purses as Aisha.

5 Minute Check Complete in your notebook. Write an algebraic expression to represent the following. 4. Ciera has three more the one half the number of purses as Aisha. A ÷ 2 + 3 , A = the number of purses Aisha has. Or 𝐴 2 + 3

5 Minute Check Complete in your notebook. Write an algebraic expression to represent the following.

5 Minute Check Complete in your notebook. Write an algebraic expression to represent the following.

5 Minute Check Complete in your notebook. Write an algebraic expression to represent the following.

5 Minute Check Complete in your notebook. Write an algebraic expression to represent the following.

5 Minute Check Complete in your notebook. Write an algebraic expression to represent the following.

5 Minute Check Complete in your notebook. Write an algebraic expression to represent the following.

5 Minute Check Complete in your notebook. Write an algebraic expression to represent the following.

5 Minute Check Complete in your notebook. Write an algebraic expression to represent the following.

5 Minute Check Complete in your notebook. Write an algebraic expression to represent the following.

5 Minute Check Complete in your notebook. Write an algebraic expression to represent the following.

5 Minute Check Complete in your notebook. Write an algebraic expression to represent the following.

5 Minute Check Complete in your notebook. Write an algebraic expression to represent the following.

5 Minute Check Complete in your notebook. Write an algebraic expression to represent the following.

5 Minute Check Complete in your notebook. Write an algebraic expression to represent the following.

5 Minute Check Complete in your notebook. Write an algebraic expression to represent the following.

Mid Chapter Check Log onto my website and click on the Quia link to begin the Chapter 6.6 quiz. Username is first name last name 371 (no spaces, no capitals). Username is the proper name as used in Progress Book. Password is the student ID. You will have a maximum of 25 minutes. When complete, work on Accum Rev 6 or Compass Learning.

5 Minute Check

5 Minute Check

5 Minute Check

5 Minute Check

5 Minute Check

5 Minute Check

5 Minute Check

5 Minute Check

5 Minute Check

Lesson 6.6.5 Algebra: Properties Tuesday, Nov 4 Lesson 6.6.5 Algebra: Properties

Algebra: Properties Objective: To use properties to simplify expressions.

Algebra: Properties Math properties are statements that are true for any number.

Algebra: Properties Commutative Property (CP) - The order in which two or more numbers are added or multiplied does not change the sum or product. e.g. 9 + 7 = 7 + 9 e.g. 3 · 2 = 2 · 3 a + b = b + a a · b = b · a The word commute means to move around.

Algebra: Properties Associative Property (AP) - The way in which three numbers are grouped when they are added or multiplied does not change the sum or product. e.g. 9 + (7+ 5) = (9 + 7) + 5 3 · (2 · 4)= (3 · 2) · 4 a + (b+ c) = (a + b) + c a · (b · c) = (a · b) · c The word associate means group.

Algebra: Properties Distributive Property (DP) – To multiply a sum by a number, multiply each addend by the number outside the parenthesis. e.g. 4 · (3 + 1) = 4 · 3 + 4 · 1= 12 + 4 = 16 e.g. 4 · (a + 1) = 4 · a + 4 · 1 or 4a + 4 The word distribute means to share.

Algebra: Properties Identity Properties (IP) - The sum of an addend and zero is the addend. The product of a factor and one is the factor. e.g. 9 + 0 = 9 3 · 1 = 3 a + 0 = a a · 1 = a

Algebra: Properties Determine if the two expressions are equivalent. If so, tell what property is applied. If not, explain why. 15 + ( 5 + 8) and (15 + 5) + 8 How can we do this?

Algebra: Properties Determine if the two expressions are equivalent. If so, tell what property is applied. If not, explain why. 15 + ( 5 + 8) and (15 + 5) + 8 To determine if expressions are equal, perform the operations using the order of operations, then compare the answers.

Algebra: Properties Determine if the two expressions are equivalent. If so, tell what property is applied. If not, explain why. 15 + ( 5 + 8) and (15 + 5) + 8 15 + 13 20 + 8 28 = 28, so 15 + ( 5 + 8) = (15 + 5) + 8, AP

Algebra: Properties Determine if the two expressions are equivalent. If so, tell what property is applied. If not, explain why. (20 - 12) - 3 and 20 – (12 – 3) Do this on your own.

Algebra: Properties Determine if the two expressions are equivalent. If so, tell what property is applied. If not, explain why. (20 - 12) - 3 and 20 – (12 – 3) 8 - 3 20 - 9 5 ≠ 11 AP is not true for subtraction.

Algebra: Properties Determine if the two expressions are equivalent. If so, tell what property is applied. If not, explain why. 34 + 0 and 34 Do this on your own.

Algebra: Properties Determine if the two expressions are equivalent. If so, tell what property is applied. If not, explain why. 34 + 0 and 34 34 = 34 IP

Algebra: Properties Determine if the two expressions are equivalent. If so, tell what property is applied. If not, explain why. 20 ÷ 5 and 5 ÷ 20 Do this on your own.

Algebra: Properties Determine if the two expressions are equivalent. If so, tell what property is applied. If not, explain why. 20 ÷ 5 and 5 ÷ 20 4 ≠ ¼ CP does not work for division.

Algebra: Properties Use one or more properties to rewrite each expression as an expression that does not have parenthesis. 6 + ( 4 + a) Do this on your own.

Algebra: Properties Use one or more properties to rewrite each expression as an expression that does not have parenthesis. 6 + ( 4 + a) AP essentially says if we have all addition or all multiplication we can remove the parenthesis.

Algebra: Properties Use one or more properties to rewrite each expression as an expression that does not have parenthesis. 6 + ( 4 + a) 6 + 4 + a Can we perform any operations?

Algebra: Properties Use one or more properties to rewrite each expression as an expression that does not have parenthesis. 6 + ( 4 + a) 6 + 4 + a = 10 + a

Algebra: Properties Use one or more properties to rewrite each expression as an expression that does not have parenthesis. 7 · (t · 3) Do this on your own.

Algebra: Properties Use one or more properties to rewrite each expression as an expression that does not have parenthesis. 7 · (t · 3) 7 · t · 3 = 21t

Algebra: Properties Use one or more properties to rewrite each expression as an expression that does not have parenthesis. 3 + (z + 5)

Algebra: Properties Use one or more properties to rewrite each expression as an expression that does not have parenthesis. 3 + (z + 5) 3 + z + 5 = 8 + z

Algebra: Properties In recent years the Kansas Jayhawks had 15 guards, 4 forwards and 3 centers on their roster. Write two equivalent expressions using the Associative Property that can be used to find the total number of players on their roster. Do this on your own.

Algebra: Properties In recent years the Kansas Jayhawks had 15 guards, 4 forwards and 3 centers on their roster. Write two equivalent expressions using the Associative Property that can be used to find the total number of players on their roster. (15 + 4) + 3 and 15 + ( 4 + 3)

Algebra: Properties At a gymnastics meet a gymnast scored an 8.95 on the vault and a 9.2 on the uneven bars. Write two equivalent expressions using the Commutative Property that can be used to find the total score. Do this on your own.

Algebra: Properties At a gymnastics meet a gymnast scored an 8.95 on the vault and a 9.2 on the uneven bars. Write two equivalent expressions using the Commutative Property that can be used to find the total score. 8.95 + 9.2 and 9.2 + 8.95

Algebra: Properties Determine whether (18 + 35) x 4 = 18 + 35 x 4 is true or false. Explain.

Algebra: Properties Determine whether (18 + 35) x 4 = 18 + 35 x 4 is true or false. Explain. False; using the order of operations, (18 + 35) x 4 = 212 18 + 35 x 4 = 158

Algebra: Properties A counterexample is an example showing that a statement is not true. Provide a counterexample to the following statement. Division of whole numbers is commutative.

Algebra: Properties A counterexample is an example showing that a statement is not true. Provide a counterexample to the following statement. Division of whole numbers is commutative. Sample answer 24 ÷ 12 = 2 and 12 ÷ 24 = 0.5 2 ≠ 0.5

Algebra: Properties Agenda Notes Homework – Homework Practice 6.6.5 Due Wednesday, Nov 5 Chapter 6.6 Test – Monday, Nov 10 Accum Rev 6 Due Nov 10