8th grade - weebly · 2018-04-17 · 8th grade math review task cards aligned to the common core...

!!!

8th Grade Math Review

Task Cards

Aligned to the Common Core State Standards

Grades

8-9

Teacher’sGuideAlignedtoall8thgradeCCSSObjective•  Studentswillreviewallmajoreighthgradetopics.Materials•  Setof60TaskCards•  CopiesofTaskCardsWorkspaceProcedure•  Myfavoritewaytousetaskcardsistoleavetheminabinatthefrontof

theroom.Eachstudentbeginswithone.Theycompletetheproblemintheirworkspace,thenreturntothebintocomparetheiranswerwiththeanswerkey.Iftheyarecorrect,theytradeforanewcard.Iftheyareincorrect,theyreturntotheirseattodeterminetheirmistake.

•  Thereareavarietyofotherwaystousetaskcards,includingbutnotlimitedto:–  Setup5stationswith6cardsateachstation.–  Placeeachcardatadifferentlocationaroundtheroomandhave

studentsmovearoundtocompleteall30.–  GiveeachstudentadifferentcardtocompleteasaProblemofthe

DayorExitTicket.Havestudentstradewithotherssotheycomplete3-5problems.

–  Projectsomecardsonthefrontboardtodiscussasawholeclass.–  Printoutandusethemasworksheetsorapacket.

© Free to Discover the Common Core – Grade 8 – Expressions and Equations – 2015

1 2

3 4

5 6

© Free to Discover (Amanda Nix) – 2016

Convert to a decimal:

Estimate to the nearest tenth:

23

999

Convert to a decimal:

8

11

Convert to a fraction in simplest form:

0.24 119

Estimate to the nearest tenth:

− 258

Simplify with positive exponents only:

a 8b−3 ⋅a −2b−2

CCSS 8.NS.A.1! CCSS 8.NS.A.1!

CCSS 8.NS.A.1! CCSS 8.NS.A.2!

CCSS 8.NS.A.2! CCSS 8.EE.A.1!


7 8

9 10

11 12



x 3( )−4

CCSS 8.EE.A.1! CCSS 8.EE.A.1!




56

53


2x 2

3y −5

⎛

⎝⎜

⎞

⎠⎟

3

Solve. Leave your final answer in radical form.

x 2 = 220

Solve:

x 3 = 64

Determine how many times greater 3x104 is than 6x102.


13 14

15 16

17 18




CCSS 8.EE.B.5! CCSS 8.EE.B.5!

Which of the following numbers would best represent the speed

of a snail in miles per hour?

a) 3x102 b) 3x10-2 c) -3x102 d) -3x10-2

!

Find the product:

4×103( ) 3.1×10−8( )

Find the quotient:

1.2×104

6×10−7

Find the sum:

3.5×109( ) + 8.4×109( )

Graph:

y = −3

4x

Determine who traveled faster:

John: d=30t Jess: t d

2 50

4 100

6 150

t=hours d=miles


19 20

21 22

23 24


State the slope and y-intercept of the linear equation:

y =3

4x −6

CCSS 8.EE.B.6! CCSS 8.EE.B.6!

CCSS 8.EE.C.7! CCSS 8.EE.C.7!

CCSS 8.EE.C.8! CCSS 8.EE.C.8!

Write the slope-intercept form of the equation of the line that passes through the given point

with the indicated slope:

m = −3

2 −4, 5( )

Solve:

3 2x + 8( ) = 4 2x +6( ) − 2x

Solve:

3

4x +

1

2= −

2

3x +9

Solve:

y =3

2x + 3

x + 2y = 2

Solve:

2x + 5y = 3

4x +10y = 3


25 26

27 28

29 30


CCSS 8.F.A.1! CCSS 8.F.A.1!

CCSS 8.F.A.2! CCSS 8.F.A.3!

CCSS 8.F.B.4! CCSS 8.F.B.4!

Determine the output:

f(x)=8-2x

x f(x)

-2

0

5

Determine if this relation is a function:

x y

-4 6

-1 2

3 2

Determine which function has the greater rate of change:

A: B: y =3

4x + 3

Which of the following functions is non-linear?

a) y=x b) 2x+3y=6 c) x2+y=1 d) y=-5

!

Write an equation of the line that passes through these

points:

3, -5( ) −3, -1( )

Determine the initial value of the function:

x y

2 4

3 7

5 13


31 32

33 34

35 36




CCSS 8.G.A.1! CCSS 8.G.A.1!

Determine the rate of change:

The function f(x)=8x-100 represents Meghan’s profit

from selling t-shirts as part of a fundraiser.

x = # t-shirts f(x) = profit

State the meaning of the rate

of change.

Describe what is happening in the graph:

Patrick’s Bike Ride

Time (Minutes)

Dist

ance

(M

iles)

Sketch a speed-time graph to model what is

happening in the scenario:

Ryan leaves his house at a jogging pace, slows to walk,

stops to talk to a friend, then returns home matching his

original pace.

Determine whether the following statement is always,

sometimes, or never true:

When a line segment is reflected across the x-axis, it will remain the same length.

Determine whether the following statement is always,

sometimes, or never true:

When a pair of parallel lines is rotated 90o counterclockwise

about the origin, they will become perpendicular lines.


37 38

39 40

41 42





Describe the transformation: A

B

C

A’

B’

C’

Describe the transformation: A

B

C

A’

B’

C’

Describe the transformation represented:

(x, y) à (x, -y)

Write a general rule using coordinates to describe the

sequence of transformations:

Rotation 180o counterclockwise about the origin and dilation by a scale

factor of 2

Describe the transformation:

A

BC

A’

B’ C’

2x+4

2x-16

Solve for x:


43 44

45 46

47 48



CCSS 8.G.B.6! CCSS 8.G.B.7!

CCSS 8.G.B.7! CCSS 8.G.B.7!

Solve for x:

48o

31o

x

Prove that these isosceles triangles are similar.

Explain to a classmate the meaning of the

Pythagorean Theorem.

Two cars leave from the same location at the same time. One

travels due north at 25 mph and the other travels due west at 60 miles per hour. How far apart will the cars be after 2

hours?

Solve for x. Round to the nearest tenth, if necessary.

8 cm 17 cm

Find the measure of the radius of the cone:

8 in 10 in

A

B C

D

E F

x


49 50

51 52

53 54


CCSS 8.G.B.8! CCSS 8.G.C.9!

CCSS 8.G.C.9! CCSS 8.G.C.9!

CCSS 8.SP.A.1! CCSS 8.SP.A.1!

Find the distance between (5, 2) and (-2, 9).

Round to the nearest tenth, if necessary.

Determine the height of a cylinder given:

radius = 3 cm

volume = 72π cm3

Determine the volume of a cone given:

radius = 2 cm

height = 9 cm

Leave your answer in terms of pi.

A grapefruit has a radius of 3 inches. Determine the

approximate volume to the whole number.

Determine whether there is a positive, negative,

or no correlation.

Weight Lifted (lbs)

Repe

titio

ns C

ompl

ete

d (#

)

Determine whether there is a linear or nonlinear

association.

Time (years)

Popu

latio

n (t

hous

ands

)


55 56

57 58

59 60





Explain whether or not the trend line drawn below

appropriately models the data.

Weight Lifted (lbs)

Repe

titio

ns C

ompl

ete

d (#

)

Ben conducted an experiment for math class. He found that there was a positive

correlation between time exercising and heart rate.

Initially, his heart rate was 60 bpm. After 3 minutes, it was up to 90 bpm. Write an equation to

model the relationship.

One morning, Christine measured the temperature outside every hour. She

determined that the equation T=3h+55 can model the

temperature (T) at each hour (h). State the meaning of the

slope and the y-intercept.

Complete the two-way table:

Learning French

Not Learning French

Total

Taking Honors Math

Not Taking Honors Math

Total

Determine what percent of students surveyed play an

instrument and like video games. Play an

Instrument No

Instrument Total

Like Video Games

Do Not Like Video Games

Total

Determine what percent of students who do not like video

games do play an instrument. Play an

Instrument No

Instrument Total

Like Video Games

Do Not Like Video Games

Total

10 10 20

18 12 30

28 22 50

10 10 20

18 12 30

28 22 50

24 30

45 80


TaskCardsAnswerKey

1 – 2 – 3 – !

4 – ! 5 – 6 –

7 – 8 – 9 –

10 – 11 – 12 –

13 – 14 – 15 –

16 – 17 – 18 –

19 –

20 – 21 –

22 – 23 – 24 –

25 – 26 – 27 –

28 – 29 – 30 –


0.023 0.728

33

≈10.9 ≈ −16.1a 6

b5

1

x12 53 =1258x 6y15

27

x = ± 220 x = 4 50 times greater

b 1.24×10−4 2×1010

1.19×1010 John

m =3

4 0,−6( ) y = −

3

2x −1 All Real Numbers

x = 6 −1,3

2

⎛

⎝⎜

⎞

⎠⎟ No Solution

Output = 12,8,−2}{ Yes, it is a function. A

c y = −2

3x − 3 0,−2( )


TaskCardsAnswerKey

31 – 32 – 33 – !

34 – ! 35 – 36 –

37 – 38 – 39 –

40 – 41 – 42 –

43 – 44 – 45 –

46 – 47 – 48 –

49 –

50 – 51 –

52 – 53 – 54 –

55 – 56 – 57 –

58 – 59 – 60 –


−3

2She charges $8 per shirt.

Patrick rides at a steady pace,

takes a short break,

then continues at a slower pace.

Time

Spe

ed

Always True Never True

Reflection across the y-axis

x,y( )→ −2x,−2y( )

Translation down 6 units

and right 4 unitsReflection across the x-axis

Dilation centered at the origin

by a scale factor of 1

2

x = 48

x = 79°

Because the triangles are isosceles,

∠B ≅ ∠C and ∠E ≅ ∠F.

Since we know ∠B ≅ ∠E, then ∠C ≅ ∠F.

Therefore, by the A-A Criterion

ΔABC ~ ΔDEF .

Answers will vary. Sample Answer:

Given a right triangle, the sum of the squares

of the legs will equal the square

of the hypotenuse.

130 miles apart 15 cm 6 in

≈ 9.9 units 8 cm 12π cm3

≈113 in3 Negative Correlation Nonlinear Association

No, the slope is appropriate,

but the line is too low.

y =10x +60

x = time (minutes)

y = heartrate (bpm)

Slope: The temperature increases

3 degrees per hour.

Y-Intercept: The original reading

was 55°.

24 6 30

11 39 50

35 45 80

10

50= 20%

18

30= 60%


Name:________________________________________________________________Class:__________Date:____________________

TaskCardsWorkspace

1 2 3

4 5 6

7 8 9

10 11 12

13 14 15



16 17 18

19 20 21

22 23 24

25 26 27

28 29 30


f(x)=8-2x

x f(x)

-2

0

5


31 32 33

34 35 36

37 38 39

40 41 42

43 44 45


Time

Spe

ed


46 47 48

49 50 51

52 53 54

55 56 57

58 59 60


Learning French

Not Learning French

Total

Honors Math

Not Honors Math

Total

24 30

45 80

Thanks for stopping by!

Did you know...

You can earn TpT credits to use towards future purchases by rating the products you’ve downloaded.

Your feedback is greatly appreciated!~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Copyright Information & Terms of Use: The purchase of this product entitles a single user to

reproduce the resource for classroom use only. Discounted additional licenses can be purchased if you wish to share with other teachers. The product is for educational use only. The product may not be used for commercial purposes or resold in any form. It cannot be uploaded to the Internet, including school

websites.

Free to Discover (Amanda Nix) 2015-2016~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Connect with me!

https://plus.google.com/u/0/118411460918464406922/about

https://www.bloglovin.com/blogs/free-to-discover-14425635

https://www.instagram.com/freetodiscovermath/

https://twitter.com/freetodiscover

http://www.freetodiscovermath.com/

https://www.facebook.com/freetodiscovermath/

https://www.pinterest.com/freetodiscover/

mailto:[email protected]

https://www.teacherspayteachers.com/Store/Free-To-Discover

I use fonts and clipart from these talented artists:

http://frompond.blogspot.com

https://www.teacherspayteachers.com/Store/Krista-Wallden

https://www.teacherspayteachers.com/Store/Catherine-S

http://www.gradeonederful.com/

https://www.teacherspayteachers.com/Store/Kelsey-Mango

https://www.teacherspayteachers.com/Store/Sarah-Pecorino-Illustration

https://www.teacherspayteachers.com/Store/Hello-Literacy

https://www.teacherspayteachers.com/Store/Kimberly-Geswein-Fonts

https://www.teacherspayteachers.com/Store/Amanda-Rene

8th grade - weebly · 2018-04-17 · 8th grade math review task cards aligned to the common core...

Documents