grade 8 unit 7 week 6 - amazon web services...grade 8 unit 7 week 6 parents: please help your child...
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School Closure Review: Grade 8 - Week 6
Copyright © Swun Math
Grade 8 Unit 7 Week 6 Parents: Please help your child choose the most appropriate assignment(s) to complete each day. When the day’s assignment is done, students finish the two reflection statements on this page.
Please note Extra Practice activities are on-level for the grade level. Re-Engage activities give students additional support. Special Education students should use the Re-Engage lessons as shown in the weekly plans.
Monday Tuesday Wednesday Thursday Friday
Top
ic Write linear functions
from a table or description.
Interpret linear functions from graphs and word problem.
Compare linear functions using slope.
Determine if a function is linear or non-linear.
Find the constant rate of change from graphs and word problems.
Ass
ign
men
t Unit 7 Lesson 3
Re-Engage Extra Practice
Unit 7 Lesson 4
Re-Engage Extra Practice
Unit 7 Lesson 5
Re-Engage Extra Practice
Unit 7 Lesson 6
Re-Engage Extra Practice
Unit 7 Lesson 9
Re-Engage A Extra Practice
Vid
eo
link Unit 7 Lesson 3
Student Support Video Unit 7 Lesson 4
Student Support Video Unit 7 Lesson 5
Student Support Video Unit 7 Lesson 6
Student Support Video Unit 7 Lesson 9
Student Support Video
Flu
ency
P
ract
ice
Integers
Addition Fluency B
Integers Subtraction Fluency B
Integers Multiplication Fluency B
Integers Division Fluency B
Fraction-Decimal Conversion Fluency B
Ref
lect
ion
One thing I was successful with is…
One thing I was successful with is…
One thing I was successful with is…
One thing I was successful with is…
One thing I was successful with is…
One thing I need more help with is…
One thing I need more help with is…
One thing I need more help with is…
One thing I need more help with is…
One thing I need more help with is…
Find this packet on swunmath.com. Click on the hyperlinks to jump to the lesson videos.
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Copyright © Swun Math Grade 8 Unit 7 Lesson 3 Re-Engage
Name: Date:
Re-Engage Unit 7 Lesson 3: Create Tables from Functions
Model
1. y = 3x—1 2. y = 2x—3
3. y = 5x—4 4. y = 6x—10
Structured Guided Practice Directions: Create a table.
Create Tables from Functions
y = 3x + 2
1. Create an x/y table.
3. Insert x-values into the equation.
4. Solve for y. 2. Insert random values for x.
*The most common set of numbers that can be used is: {-2,-1,0,1,2}
x y = 3x + 2
-2
-1
0
1
2
x y = 3x + 2
-2 y = 3(-2) + 2
-1 y = 3(-1) + 2
0 y = 3(0) + 2
1 y = 3(1) + 2
2 y = 3(2) + 2
x y
-2 -4
-1 -1
0 2
1 5
2 8
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Copyright © Swun Math Grade 8 Unit 7 Lesson 3 Re-Engage
1. y = 7x—5 2. y = 5x—7
3. y = 6x—8 4. y = 2x—4
5. y = 3x—6 6. y = 4x—3
Re-Engage Unit 7 Lesson 3: Create Tables from Functions
Student Practice Directions: Create a table.
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Grade 8 Unit 7 Lessons 1-3 EP Copyright © Swun Math
Unit 7 · Lessons 1-3: Write Linear Functions
Directions: Write a function rule for the given information.
1. The output is one-fifth the input.
2.
x y 1 ─3 2 ─6 3 ─9 4 ─12
3. Social studies class is 4 more than two times the length of recess, in minutes.
4.
x y 5 14 6 17 7 20 8 23
5. The DVD price is six more than two times the price of the digital copy.
6.
x y 4 3 6 7 8 11 13 21
Name: ____________________________
Date: ____________________________
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Copyright © Swun Math Grade 8 Unit 7 Lesson 4 Re-Engage
Name: Date:
Re-Engage Unit 7 Lesson 4: Interpret Functions from Graphs
Model
1. a. About how much money will be earned after 6 hours of work?
b. About how many hours must be worked to save $100?
Structured Guided Practice Directions: Use the graph to answer the following questions.
Interpret Functions
a. About how many bags of candy did the kids collect on Halloween?
Since zero represents the day of Halloween, the graph shows that the kids have collected 6 bags of candy, representing the point (0,6).
b. What will happen 7 days after Halloween?
The graph is heading down a negative slope, meaning the kids are eating the bags of candy as the days go on. 7 days after Halloween, the graph shows zero bags of candy left.
Number of Days after Halloween
Bags
of C
andy
Number of Hours Worked
Am
ou
nt
of
Mo
ney
Sav
ed
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Copyright © Swun Math Grade 8 Unit 7 Lesson 4 Re-Engage
1. a. About how much money cash was there to start with?
b. How many dozens of cupcakes need to be sold to earn $140?
2. a. About how many miles were driven by the end of the first hour?
b. About how many miles were driven after 4 hours of driving?
3. a. How much money was in savings at before shopping (zero hours)?
b. About how much is left in savings after 6 hours of shopping?
Re-Engage Unit 7 Lesson 4: Interpret Functions from Graphs
Student Practice Directions: Use the graph to answer the following questions.
Number of Dozen Cupcakes sold
Am
ou
nt
of
Mo
ney
Ear
ned
Number of Hours Shopping
Am
ou
nt
of
Mo
ney
Sav
ed
Number of Hours Driving
Am
ou
nt
of
Mile
s D
rive
n
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Grade 8 Unit 7 Lesson 4 EP Copyright © Swun Math
Unit 7 · Lesson 4: Interpret Linear Functions
Directions: Read and solve.
1.
After selling 7 doughnuts, how much money will be raised?
2.
After making 4 cookies, how many cups of flour are left?
3. The submarine is currently 580 ft under water. It rises up 20 ft per minute. How long will it take to reach 300 ft?
4. Jayden opens a savings account with $625. He saves $125 per month. How many months would it take to save $1,500?
5. If admission to the fair is $8.25 per person and you have a budget of $66, how many may people’s admission can you pay for?
6. The hospital had 9,000 L of water for their patients. Water dispensed at a rate of 75 L per minute. How much water was remaining after 45 minutes?
Name: ____________________________
Date: ____________________________
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14
11
10
9
8
7
6
5
4
3
2
1
0
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14
11
10
9
8
7
6
5
4
3
2
1
0
Mon
ey R
aise
d ($
)
Cups
of f
lour
le
ft
Doughnuts Cookies
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Copyright © Swun Math Grade 8 Unit 7 Lesson 5 Re-Engage
Name: Date:
Re-Engage Unit 7 Lesson 5: Calculate Slope
Model
1. (4, -1) and (3, 9)
2. (7, -3) and (2, 8)
3. (-2, 6) and (5, 3) 4. (-5, 2) and (7, 3)
Structured Guided Practice Directions: Calculate the slope
Slope from Two Points
(6, —2) and (4, 5) (x1, y1) and (x2, y2)
1. Use the slope formula:
2. Plug points into the equation.
3. Solve.
2 1
2 1
y yx x
−
−
5 ( 2) 74 6 2− −
=− −
7
-2
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Copyright © Swun Math Grade 8 Unit 7 Lesson 5 Re-Engage
1. (3, -4) and (2, 6)
2. (5, -6) and (7, 8)
3. (7, -3) and (6, 8) 4. (-9, 2) and (3, 5)
5. (-1, 7) and (2, 4) 6. (-3, 5) and (6, 6)
Re-Engage Unit 7 Lesson 5: Calculate Slope
Student Practice Directions: Calculate the slope
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Grade 8 Unit 7 Lesson 5 EP Copyright © Swun Math
Unit 7 · Lesson 5: Compare Linear Functions
Directions: Determine which function has the greater slope.
1. Function A: Function B:
2. Function A: Function B:
3. Function A: Function B:
x y ─2 0 1 6 3 10 5 14
4. Function A: Function B:
x y 0 -3 3 -2 15 2 21 4
5. Function A: Function B:
x y 2 10 4 20 6 30 8 40
6. Function A: Function B:
x y 0 -10 4 -9 8 -8 12 -7
Name: ____________________________
Date: ____________________________
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14
y = 3x + 2 y = 15x – 6
y = 2x + 7 y = 3x – 8
y = 7x y = 12x – 3
10
9
8
7
6
5
4
3
2
1
10
9
8
7
6
5
4
3
2
1
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Copyright © Swun Math Grade 8 Unit 7 Lesson 6-7 Re-Engage
Name: Date:
Re-Engage Unit 7 Lesson 6-7: Constant Rate of Change
Model
1.
2.
Structured Guided Practice Directions: Find the constant rate of change to determine if the table represents a linear relationship.
Constant Rate of Change
Rate of change describes how one quantity changes in relation to another. A constant rate of change is a rate of change in a linear function. Example: Find the constant rate of change to determine if the table below represents a linear relationship.
Change in yards of fabric (y) ÷ change in number of quilts (x) 10 ÷ 2 = 5
The constant rate of change is 5.
Number of Quilts
Yards of Fabric
2 5
4 15
6 25
8 35
Change is 10 between consec-utive sets of terms. Be sure to check this to make sure it is
constant.
Change is 2 between each set of terms.
Time Distance Traveled
6 14
8 38
10 62
12 86
Boxes of Candy 1 3 5 7
Pieces of Candy 32 64 96 128
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Copyright © Swun Math Grade 8 Unit 7 Lesson 6-7 Re-Engage
1.
2.
3. 4.
5. 6.
Re-Engage Unit 7 Lesson 6-7: Constant Rate of Change
Student Practice Directions: Find the constant rate of change to determine if the table represents a linear relationship.
Students Number of Textbooks
4 15
5 30
6 45
7 60
Trees Number of Apples
2 5
4 15
6 25
8 35
Hour Temperature
3 53
5 65
7 77
9 89
Number of T-Shirts 3 6 9 12
Price ($) 28 49 70 91
Classrooms 1 3 5 7
Number of Students 24 72 120 168
Days 10 12 14 16
Pages Read 120 240 360 480
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Grade 8 Unit 7 Lessons 6-7 EP Copyright © Swun Math
Extra Practice Unit 7 · Lessons 6-7: Linear vs. Nonlinear
Directions: Determine if there is a linear or nonlinear function
1. y = 2x + 7
2. (-3 ,- 12) , (0, 21
2) , (3, 31
2)
3. In Out
2 8
-3 -1.5
2 -6
4. x + 4y = 10
5. The drone rose 5 meters above the ground in 10 seconds. After 50 seconds, the drone was 50 meters above the ground.
6. The horse ate 80 food pellets in 2 minutes. After 12 minutes, the horse had eaten 480 food pellets.
Name: ____________________________
Date: ____________________________
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Copyright © Swun Math Grade 8 Unit 7 Lesson 8-9a Re-Engage
Name: Date:
Re-Engage Unit 7 Lesson 8-9a: Rate of Change & Initial Value
Model
1. Rate of change: ______ Initial value: ______
2. Rate of change: ______ Initial value: ______
Structured Guided Practice Directions: State the rate of change and initial value.
2435
14y x 4331
= −
Rate of Change & Initial Value
Rate of change: Initial value: ─15 (slope) (y-intercept)
24y x 1535
= −
Rate of change: ─2 Initial Value: 8
The line crosses the y-axis at (0, 8), so the y-intercept is 8.
Count rise (4) over run (2) to find the slope of 2. The line is negative, so it is a –2 slope.
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Copyright © Swun Math Grade 8 Unit 7 Lesson 8-9a Re-Engage
1. Rate of change: ______ Initial value: ______
2. Rate of change: ______ Initial value: ______
3. Rate of change: ______ Initial value: ______
4. Rate of change: ______ Initial value: ______
5. Rate of change: ______ Initial value: ______
6. Rate of change: ______ Initial value: ______
Re-Engage Unit 7 Lesson 8-9a: Rate of Change & Initial Value
Student Practice Directions: State the rate of change and initial value.
1y x 8423
= −
8y x 11293
= −
93y x 56114
= +
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Grade 8 Unit 7 Lessons 8-9 EP Copyright © Swun Math
Unit 7 · Lessons 8-9: Constant Rate of Change
Directions: Determine the initial value and rate of change. Write an equation to show the relationship.
1.
2.
3. A roller-skating company charges an initial fee of $8 plus $5 an hour for roller skate rentals. Devontae paid $28 for 4 hours of roller skating.
4. Kerry is working as a babysitter for $7 per hour.
5. Desmond has $80 in his bank account. He wants to save $40 per month from mowing lawns.
6. Mariam’s remote-control car has a full charge. It can travel at 7 mph for a maximum of 3 hours.
Name: ____________________________
Date: ____________________________
0
50
100
150
200
250
0 2 4 6
Cost
$
Hours
0
4
8
12
16
20
24
28
0 1 2 3 4 5
Gue
sts
Hours
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Name_________________________________________ Date____________
Copyright © Swun Math Integers: Addition Fluency, Version B
Integers: Addition Fluency B (70 items)
−3 + −6 = 8 + −2 = 7 + −4 = 9 + −3 = −9 + 2 = 5 + −3 = 8 + −1 =
−4 + 9 = −7 + 3 = −4 + −5 = −9 + −5 = −3 + 3 = −2 + −8 = −4 + 2 =
−7 + −1 = −7 + −7 = −2 + 6 = −7 + −8 = −3 + −7 = −9 + 6 = −9 + 4 =
−2 + −2 7 + −6 = −8 + 5 = 8 + −7 = −5 + 6 = −6 + −5 = −5 + 4 =
−9 + −4 = −7 + −2 = −9 + 1 = 4 + −9 = 3 + −8 = −3 + −5 = −9 + 9 =
6 + −3 = −2 + 7 = −9 + −7 = −4 + −6 = −5 + 8 = −8 + 6 = −8 + 9 =
−5 + −5 = −8 + −4 = −9 + 8 = −6 + −4 = −4 + −3 = 3 + −4 = −2 + −3 =
−6 + −2 = −7 + 5 = −8 + −3 = −5 + 7 = −5 + 7 = −2 + −5 = 0 + 6 =
5 + −9 = 7 + − 9 = 6 + −1 = −4 + −8 = −2 + 4 = −8 + −9 = 4 + −4 =
−6 + 8 = −7 + 5 = −6 + −6 = 4 + −7 = −3 + 2 = 6 + −7 = 8 + −4 =
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Name_________________________________________ Date____________
Copyright © Swun Math Integers: Subtraction Fluency, Version B
Integers: Subtraction Fluency B (70 items)
−5 − 6 = −9 − −5 = −2 − 2 = 6 − −1 = −6 − −5 = −8 − −9 = 7 − −4 =
−5 − −9 = −2 − −5 = 6 − −3 = −4 − 9 = −5 − 8 = −3 − 3 = 4 − −7 =
−2 − 6 = 5 − −3 = −9 − 4 = 8 − −2 = 2 − −7 = −4 − 2 = −3 − −6 =
−6 − −6 = −6 − −2 = 6 − −7 = −2 − −9 = −4 + −6 = −2 − 4 = −9 − 8 =
−4 − −8 = 3 − −4 = −7 − −6 = −8 − −3 = −3 − −7 = 5 − −2 = 7 − −6 =
−3 − −5 = −5 − −5 = −9 − −7 = 7 − −9 = −6 − −4 = −6 − 8 = −2 − −3 =
−7 − −7 = −5 − 7 = −9 − 6 = 0 − 6 = −8 − 5 = −6 − 9 = −5 − 4 =
4 − −4 = 8 − −8 = 9 − −3 = −7 − −8 = 8 − −1 = −3 − 2 = −4 − −3 =
8 − −8 = 8 − −4 = −9 − 9 = −7 − −5 = −9 − 1 = −8 − 6 = −2 − −8 =
−2 − 7 = −7 − 3 = 3 − −8 = −9 − 2 = 3 − −9 = −4 − −5 = −9 − −4 =
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Name_________________________________________ Date____________
Copyright © Swun Math Integers: Multiplication Fluency, Version B
Integers: Multiplication Fluency B (70 items)
−3 ∙ 4 = −7 ∙ −2 = −6 ∙ −6 = −9 ∙ −7 = −7 ∙ 9 = −3 ∙ −6 = −5 ∙ 9 =
4 ∙ −9 = 5 ∙ −8 = 9 ∙ −6 = 2 ∙ −7 = 2 ∙ −4 = −7 ∙ 6 = −8 ∙ 1 =
2 ∙ −2 = 6 ∙ −9 = 5 ∙ −7 = 0 ∙ 9 = −6 ∙ −4 = 8 ∙ −8 = −7 ∙ −5 =
3 ∙ −2 = −4 ∙ −3 = −9 ∙ −4 = 5 ∙ −6 = 7 ∙ −3 = −3 ∙ 8 = −5 ∙ 2 =
9 ∙ −8 = −6 ∙ 1 = −5 ∙ 3 = −3 ∙ 9 = −6 ∙ −5 = −9 ∙ −5 = −4 ∙ −5 =
−8 ∙ 8 = −2 ∙ −8 = 9 ∙ −1 = −8 ∙ 4 = 8 ∙ −5 = 6 ∙ −8 = −7 ∙ −7 =
−2 ∙ −3 = −9 ∙ 3 = −7 ∙ −8 = −4 ∙ 4 = 5 ∙ −4 = 8 ∙ −6 = −6 ∙ −2 =
−4 ∙ −6 = 9 ∙ −2 = 6 ∙ −4 = −7 ∙ 4 = −4 ∙ −8 = −6 ∙ 7 = −3 ∙ −7 =
−2 ∙ −5 = −6 ∙ 3 = 4 ∙ −2 = −8 ∙ 7 = −5 ∙ −5 = −3 ∙ −5 = −4 ∙ 7 =
3 ∙ −3 = −8 ∙ 2 = −7 ∙ −1 = −8 ∙ 2 = −2 ∙ −9 = −8 ∙ −3 = 2 ∙ −6 =
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Copyright © Swun Math Integers: Division Fluency, Version B
Integers: Division Fluency B (70 items)
−45 ÷ −5 = −48 ÷ −6 = −36 ÷ 9 = 8 ÷ −2 = 15 ÷ −3 = −12 ÷ −6 = 3 ÷ −3 =
54 ÷ −9 = −12 ÷ 2 = 35 ÷ −7 = −27 ÷ −9 = −6 ÷ 2 = −12 ÷ −3 = 6 ÷ −6 =
−54 ÷ 6 = −45 ÷ −9 = −10 ÷ −2 = 18 ÷ −3 = −18 ÷ 6 = 18 ÷ −3 = −14 ÷ 7 =
12 ÷ −4 = −81 ÷ −9 = −9 ÷ 3 = −24 ÷ −3 = −30 ÷ 5 = 21 ÷ −7 = −64 ÷ 8 =
−63 ÷ 9 = −14 ÷ −2 = −24 ÷ −3 = 36 ÷ −6 = −28 ÷ 7 = 72 ÷ −9 = −18 ÷ −2 =
8 ÷ −4 = 12 ÷ −4 = 10 ÷ −5 = −42 ÷ −7 = −40 ÷ −8 = 0 ÷ −7 = −20 ÷ −4 =
20 ÷ −5 = 56 ÷ −7 = 56 ÷ −8 = −4 ÷ 4 = −28 ÷ 4 = −30 ÷ 5 = −2 ÷ −2 =
−72 ÷ −8 = −4 ÷ 2 = 36 ÷ −4 = −40 ÷ 5 = −6 ÷ −3 = 18 ÷ −9 = 16 ÷ −8 =
−24 ÷ −8 = −32 ÷ 8 = −9 ÷ −9 = −16 ÷ −4 = −15 ÷ −5 = 49 ÷ −7 = −48 ÷ 8 =
−35 ÷ −5 = −32 ÷ −4 = −9 ÷ 3 = −64 ÷ 8 = −63 ÷ −7 = −25 ÷ −5 = −24 ÷ 4 =
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Name_________________________________________ Date____________
Copyright © Swun Math Fraction/Decimal Conversion, Version B
Fraction/Decimal Conversion B
(70 items)
Directions: Convert fractions to decimals and decimals to fractions.
350
= 0.89 = 0.41 = 11100
= 13
= 0.2 = 35
= 73100
= 0.39 = 0.09 =
15
= 0.75 = 14
= 0.55 = 0.5 = 110
= 0.6 = 35
= 69100
= 820
=
0.91 = 1125
= 0.3 = 7100
= 14
= 0.75 = 63100
= 0.17 = 1320
= 0.65 =
0.27 = 1920
= 0.19 = 25
= 0.35 = 15
= 110
= 3100
= 0.05 = 0.1 =
710
= 2950
= 0.85 = 0.95 = 1820
= 0.6 = 14
= 0.21 = 0.3 = 925
=
0.81 = 1325
= 3250
= 7100
= 0.27 = 0.48 = 7100
= 1225
= 0.36 = 0.07 =
0.82 = 0.51 = 120
= 0.8 = 45
= 0.03 = 125
= 0.12 = 71100
= 15
=