21 st century lessons combining like terms 1. warm up objective: students will be able to determine...
TRANSCRIPT
Warm UpOBJECTIVE: Students will be able to determine if expressions are equivalent by combining like terms.Language Objective: Students will be able to explain in words how to combine like terms.
Agenda
2
True or False? Explain your answer.
a. b. c. d.
True
True
True
False
Agenda:
1) Warm Up 2) Launch
3) Explore
4) Summary
5) Practice6) Assessment
3
True or False?- IndividualWhat is the Area?- Whole Class
No Tiles, Vocabulary, Process,Quick Check- Partners, Whole Class
Using Tiles- Partners
Exit Slip- IndividualPartners
OBJECTIVE: Students will be able to determine if expressions are equivalent by combining like terms.Language Objective: Students will be able to explain in words how to combine like terms.
5 minutes
5 minutes
5 minutes
17 minutes18 minutes
15 minutes
Launch- What is the Area?
Agenda
4
What is the area of the rectangle?
x
4 3
x
4 3
x
7
x
4 3
x 4x 3x
Area = 4x + 3x
+
7x
Area = 7x
Explore- Using Tiles
Agenda
5
Think back to the warm up .
x x x
Can we represent 3x another way using tiles?
So, how many tiles would we need?
+
Let each x represent a red tile.
xx x
We just combined all the x’s!
Definition
7
Explore- Using Tiles
Using your tiles, what would you get
Agenda
x x x x x x+
xxxxxx
if you combined 2x + 4x?
Is this the only way to show 6x?
Now combine!
8
Explore- Using Tiles
Agenda
x x x x x x+
xxxxxx
Is this the only way to show 6x?
+3x 3x+
5x x1+More
Practice
10
Explore- Using Tiles
What would you get if you combined
Agenda
5x + 3y + 2x + y? Use your tiles. x x x x x x xyy y y y+++x x x x x yy y+ x x+ y y+
11
Summary- No Tiles
Agenda
Commutative Property
Commutative Property
How can we combine without using tiles?
5x + 3y + 2x + y5x + 3y 2x+ y+Identify variables that are the sameIdentify variables that are the same
Now Combine!Now Combine!+
12
Agenda
Summary- Vocabulary
• Term: a single number, variable, or number and variables multiplied together.
Example
are terms in this expression.
• Like Terms: terms that have the same variable or power.
andand
13
Agenda
1. Copy the expression
3. Rewrite using the Commutative Property
4. Combine the variables that are the same
2. Identify the like terms
Summary- Process
5x + 3y 2x+ y+
Summary- Quick Check
Agenda
14
With your partner, write an equivalent expression for the following:
#1. 4a + 6b + 3a + 9b
#2. 15x – 4x + 12
#3. y + y + y#4. 5y + 7z
7a + 15b
11x + 12
3y
5y + 7z
Click for definition
Practice- Partners
16
Agenda
I. Model the following expression by drawing squares. Let = x = ya.
b.
+
+++
Practice- Partners
17
Agenda
II. Explain why the following statement is true.
2x and 4y are not like terms, therefore, you cannot combine them.
AnotherExplanation
Practice- Partners
19
Agenda
III. Write an equivalent expression for the following expressions.
1.
2.
3.
Practice- Partners
20
Agenda
IV. Explain Yvonne’s mistake in the following problem.
Yvonne just added all the numbers together. She can add numbers that are the like terms, 8x and 6x, but not 2 since it does not have an x.