Post on 29-Sep-2020
• Vocabulary
Created by Simone http://www.teacherspayteachers.com/Store/Simone
Teacher Information
• Combining Like Terms
Select a Lesson
Vocabulary
Variable: A letter that represents an unknown number.
x
1
Constant: A number.
8
2
Exponent: A number written above and to the right of a base number.
x2
3
The exponent shows how many times to use the base number in repeated multiplication. For example, 52 is 5 x 5.
Operations: addition, subtraction, multiplication, and division
4
Expression: A mix of variables, constants, exponents, and operations.
5x + y + 8 – x2
5
Expressions do not have equal signs.
Term: A small part of the expression.
Each term is separated by + or –
6
5x + y + 8 – x2
Like terms have the same variable and exponent.
7
5x and 10x n2 and 7n2
12 and 17
Coefficient: A number multiplied by a variable.
5x + y + 8
5 is the coefficient in front of x1 is the coefficient in front of y
8
Click the correct word for the red item.
2x + 3 + x2
term
9
constant
exponent
n – 5n + 3 + m3
coefficient
10
constant
variable
Click the correct word for the red item.
8 + m3
constant
11
coefficient
exponent
Click the correct word for the red item.
b2 – b + 9 + 7n
variable
12
expression
exponent
Click the correct word for the red item.
10 + n3
exponent
13
variableterm
Click the correct word for the red item.
9y2 + 8n – 3
Write a word to describe the red item.
14
coefficientAnswer
Write a word to describe the red item.
15
termAnswerx2 + 8 – 2n
16
exponentAnswer15 + 3x2 + y
Write a word to describe the red item.
Write a word to describe the red item.
17
constant or termAnswery + 4n – 12
Write a word to describe the red item.
18
variableAnswer6n2 + 11n +14
Combining Like Terms
Review
Like termshave the same variable and exponent.
5x and 10x
n2 and 7n2 12 and 17
??
5n and n5
answer
19
No, they do not have the same exponent.
Are these like terms?
3b and 8b
answer
Yes, they have the same variable and exponent.
20
Are these like terms?
7x2 and 8x2
answer
Yes, they have the same variable and exponent.
21
Are these like terms?
6 and 15
answer
Yes, they are both constants.
22
Are these like terms?
8x and 8y
answer
No, they do not have the same variable.
23
Are these like terms?
n3 and n7
answer
No, they do not have the same exponent.
24
Are these like terms?
Draw shapes to identify like terms
25
Answerx + 3x + x2
26
Answer5 – 10x + 12 + 10
Draw shapes to identify like terms
27
Answer15 – 8x2 + 8y + x2
Draw shapes to identify like terms
28
y – 3y2 + 8y + y2
Answer
Draw shapes to identify like terms
29
Answer5n + 3x2 – 8n + 5y + 7x2
Draw shapes to identify like terms
30
18 – 2x – 2y – 8x2 + 8x + 10
Answer
Draw shapes to identify like terms
2x + 3x 5x
5x
Click each step to learn how to combine like terms.
Step 1:
Step 2:
Step 3:
Identify like terms
Add or subtract the coefficients
Bring down unlike terms
31
2x +10 + 3x
+10
8x2 – 5x2 3x2
+ 5n – 25
3x2 + 5n – 25
Combine like terms.
Answer
32
8x2 + 5n – 25 – 5x2
15 + 3
183n2 – 8y
3n2 – 8y + 18
Combine like terms.
Answer
33
3n2 – 8y + 15 + 3
7n + 8n 15n
+ x2 – 2x
15n + x2 – 2x
Combine like terms.
Answer
34
7n + x2 + 8n – 2x
14y + y – 8y 7y
+ 17
7y + 17
Combine like terms.
Answer
35
14y + y + 17 – 8y
7n3 – 6n3 n3
45 – 25 20
20 + n3 + 9y
+ 9y
Answer
45 + 7n3 + 9y – 25 – 6n3
36
Combine like terms.
3x2 + 7x2 10x2
9y – y 8y
– 20
10x2 + 8y – 20
Combine like terms.
Answer
37
3x2 + 9y +7x2 – y –20
n2 + 5n2 6n2
12n – 4n 8n
6n2 + 7 + 8n
Combine like terms.
Answer
38
3 + 4
7
n2 + 3 +12n – 4n + 4 + 5n2
20 + 5 25
y2 + 5y2 6y2
25 + 2y +6y2
Combine like terms.
Answer
39
y + y 2y
20 + y + y + y2 + 5 + 5y2
The student packet is broken up into two lessons. • pages 1-2 vocabulary • pages 3-4 combining like terms.
The PPT guides students through the lessons by giving them information and providing practice. Some slides ask the student to write something down and the answer will appear once the “answer” button is clicked. Some slides have multiple choices and the correct answer will be highlighted once clicked.
There are many ways to use this product • teaching new material • whole class review • independent practice • centers • students watch PPT and follow along with the student packet. • students complete the packet first and then self correct with the PPT.
Created by Simone http://www.teacherspayteachers.com/Store/Simone
6.EE.3 Apply the properties of operations to generate equivalent expressions. For example, apply the distributive property to the expression 3(2 + x) to produce the equivalent expression 6 + 3x; apply the distributive property to the expression 24x + 18y to produce the equivalent expression 6(4x + 3y); apply properties of operations to y + y + y to produce the equivalent expression 3y.
Common Core State Standards covered in this lesson.
(This activity covers combining like terms which is the part that I highlighted)