Download 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