Transcript 11-25 PPT
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. 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 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 L + 5 4 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 Flashcards Monday, Nov 25 Lesson 6.5 Algebra: Properties Algebra: Properties Objective: To use properties to simplify expressions. Algebra: Properties At the end of this lesson you should be able to answer the following question. How can using properties help you simplify expressions? Algebra: Properties Properties are statements that are true for any number. Algebra: Properties Commutative Property - The order in which two numbers are added or multiplied does not change the sum or product. e.g. 9 + 7 = 7 + 9 e.g. 3 · 2 = 2 · 3 Algebra: Properties Associative Property - 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 e.g. 3 · (2 · 4)= (2 · 3) · 4 Algebra: Properties Identity Properties - 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 e.g. 3 · 1 = 3 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, Associative Property 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, so (20 - 12) - 3 ≠ 20 – (12 – 3), Associative Property 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, so 34 + 0 = 34 Identity Property 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 ≠ 1/4 20 ÷ 5 ≠ 5 ÷ 20 Commutative Property 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) Associative Property states the way in which three numbers (and any variables) are grouped when they are added or multiplied does not change the sum or product. So, 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) Commutative Property states the order in which two (or more) numbers are multiplied does not change the product. So, 7 · (t · 3) = 7 · t · 3 = 21t Algebra: Properties Essentially, the Associative Property says if we have all addition or multiplication we can remove the parenthesis. 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 = 15 + ( 4 + 3) Algebra: Properties Agenda Notes Homework – Homework Practice 6-5 Due Tuesday, Nov 26 Chapter 6 Test – Friday, Dec 6