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Page 1: Home - Martins Ferry Middle Schoolms.mfcsd.k12.oh.us/UserFiles/Servers/Server...Relation, Function, Domain & Range Group Activity Group Members: Introduction to Functions Activity
Page 2: Home - Martins Ferry Middle Schoolms.mfcsd.k12.oh.us/UserFiles/Servers/Server...Relation, Function, Domain & Range Group Activity Group Members: Introduction to Functions Activity
Page 3: Home - Martins Ferry Middle Schoolms.mfcsd.k12.oh.us/UserFiles/Servers/Server...Relation, Function, Domain & Range Group Activity Group Members: Introduction to Functions Activity
Page 4: Home - Martins Ferry Middle Schoolms.mfcsd.k12.oh.us/UserFiles/Servers/Server...Relation, Function, Domain & Range Group Activity Group Members: Introduction to Functions Activity
Page 5: Home - Martins Ferry Middle Schoolms.mfcsd.k12.oh.us/UserFiles/Servers/Server...Relation, Function, Domain & Range Group Activity Group Members: Introduction to Functions Activity
Page 6: Home - Martins Ferry Middle Schoolms.mfcsd.k12.oh.us/UserFiles/Servers/Server...Relation, Function, Domain & Range Group Activity Group Members: Introduction to Functions Activity
Page 7: Home - Martins Ferry Middle Schoolms.mfcsd.k12.oh.us/UserFiles/Servers/Server...Relation, Function, Domain & Range Group Activity Group Members: Introduction to Functions Activity
Page 8: Home - Martins Ferry Middle Schoolms.mfcsd.k12.oh.us/UserFiles/Servers/Server...Relation, Function, Domain & Range Group Activity Group Members: Introduction to Functions Activity
Page 9: Home - Martins Ferry Middle Schoolms.mfcsd.k12.oh.us/UserFiles/Servers/Server...Relation, Function, Domain & Range Group Activity Group Members: Introduction to Functions Activity
Page 10: Home - Martins Ferry Middle Schoolms.mfcsd.k12.oh.us/UserFiles/Servers/Server...Relation, Function, Domain & Range Group Activity Group Members: Introduction to Functions Activity
Page 11: Home - Martins Ferry Middle Schoolms.mfcsd.k12.oh.us/UserFiles/Servers/Server...Relation, Function, Domain & Range Group Activity Group Members: Introduction to Functions Activity
Page 12: Home - Martins Ferry Middle Schoolms.mfcsd.k12.oh.us/UserFiles/Servers/Server...Relation, Function, Domain & Range Group Activity Group Members: Introduction to Functions Activity
Page 13: Home - Martins Ferry Middle Schoolms.mfcsd.k12.oh.us/UserFiles/Servers/Server...Relation, Function, Domain & Range Group Activity Group Members: Introduction to Functions Activity
Page 14: Home - Martins Ferry Middle Schoolms.mfcsd.k12.oh.us/UserFiles/Servers/Server...Relation, Function, Domain & Range Group Activity Group Members: Introduction to Functions Activity
Page 15: Home - Martins Ferry Middle Schoolms.mfcsd.k12.oh.us/UserFiles/Servers/Server...Relation, Function, Domain & Range Group Activity Group Members: Introduction to Functions Activity
Page 16: Home - Martins Ferry Middle Schoolms.mfcsd.k12.oh.us/UserFiles/Servers/Server...Relation, Function, Domain & Range Group Activity Group Members: Introduction to Functions Activity

Name: _________________________________________ Per: _______Date: ___________________

Function Concepts/WS Intro to Relations and Functions

x 2 4 5 9

y -2 0 2 4

x -3 1 3 5

y 0 1 2 3

WORKSHEET – DOMAINS AND RANGES OF

RELATIONS AND FUNCTIONS

Part 1 – Identify Domains, Ranges, and Functions. Identify the domain and range of

each relation given below. Then determine if the relation represents a function.

Record your answers in the appropriate spaces provided for each problem.

1. {(2, 3), (-1, 5), (0, -1), (3, 5), (5, 0)}

Domain: ___________________________

Range: ____________________________

Function: yes no

2. 3.

Domain: _________________________ Domain: ____________________________

Range: __________________________ Range: _____________________________

Function: yes no Function: yes no

4. 5.

Domain: _________________________ Domain: ____________________________

Range: __________________________ Range: _____________________________

Function: yes no Function: yes no

Page 17: Home - Martins Ferry Middle Schoolms.mfcsd.k12.oh.us/UserFiles/Servers/Server...Relation, Function, Domain & Range Group Activity Group Members: Introduction to Functions Activity

Name: _________________________________________ Per: _______Date: ___________________

Function Concepts/WS Intro to Relations and Functions

Part 2 – Different Representations. Read each problem carefully and perform the

indicated task. Also, for each problem, determine if the relation given represents a

function and record your answers in the appropriate spaces provided for each

problem.

6. Rewrite the relation given to the right as a set of

ordered pairs.

Answer:

_________________________________________

Function: yes no

7. Graph the relation given below on the coordinate plane to the right.

x -5 -4 -3 0 3 4 5

y -4 -2 -1 0 -1 -2 -4

Function: yes no

8. Construct a mapping diagram in the space below to represent the following set of ordered pairs.

(2, -1), (3, 2), (5, 4), (3, -1), (6, 5)

Mapping diagram:

Function: yes no

9. Create a table that is equivalent to the relation graphed on the

coordinate plane to the right.

Table:

Function: yes no

Page 18: Home - Martins Ferry Middle Schoolms.mfcsd.k12.oh.us/UserFiles/Servers/Server...Relation, Function, Domain & Range Group Activity Group Members: Introduction to Functions Activity

© 2006 mathwarehouse.com

Relation, Function, Domain & Range Based on Online Lesson @: mathwarehouse.com/algebra/relation/math-function.php Part I 1) What is the domain and range of the following relation? { (-1,2), (2, 51), (1, 3), (8, 22), (9, 51) } domain:______ range:______ 2) What is the domain and range of the following relation? { (-5,6), (21, -51), (11, 93), (81, 202), (19, 51) } domain:______ range:______ 3) What is the domain and range of the following symbolic relation?

domain:________ range:______ Part II 1) Which relations below are functions? _________

Relation #1 { (-1,2), (-4,51), (1,2), (8,-51) } Relation #2 { (13,14), (13,5) , (16,7), (18,13) } Relation #3 { (3,90), (4,54), (6,71), (8, 90) }

2) Which relations below are functions? _______________ Why?

Relation #1 { (3,4), (4,5), (6,7), (8,9) } Relation #2 { (3,4), (4,5), (6,7), (3,9) } Relation #3 { (-3,4), (4,-5), (0,0), (8,9) } Relation #4 { (8, 11), (34,5), (6,17), (8,19) }

3) Which relations below are functions? _______________ Why?

Relation #1 { (3,4), (4,5), (6,7), (3,-9) } Relation #2 { (3,4), (4,5), (6,7), (5,4) } Relation #3 { (0,4), (4,-5), (0,0), (8,9) } Relation #4 { (8, 11), (34,5), (6,17), (6,19) }

4) For the following relation to be a function, X cannot be what values?

{ (8, 11), (34,5), (6,17), (X ,22) }

Page 19: Home - Martins Ferry Middle Schoolms.mfcsd.k12.oh.us/UserFiles/Servers/Server...Relation, Function, Domain & Range Group Activity Group Members: Introduction to Functions Activity

5) For the following relation to be a function, X cannot be what values?

{ (12, 13), (-11, 22), (33, 101), (X ,22) } 6) For the following relation to be a function, X can not be what values?

{ (12,14), (13,5) , (-2,7), (X,13) } 7) For the following relation to be a function, X can not be what values? { (13,14), (12,5) , (16,7), (X,13) }

Alex states that the relation below is not a function. Lillian says that it is a function. Who is correct? Explain your reasoning. Relation { (13,14), (12,5) , (16,7), (13, 14), (-2, 33), (13, 14 } Explanation: Answers to Questions and an accompanying online lesson available @: Based on Online Lesson @: www.mathwarehouse.com/algebra/relation/math-function.php

© 2006 www.mathwarehouse.com All Rights Reserved Commercial Use Prohibited TEACHERS: Feel free to make copies of this worksheet for the sole purpose of use in your own classroom. ENJOY!!!

Page 20: Home - Martins Ferry Middle Schoolms.mfcsd.k12.oh.us/UserFiles/Servers/Server...Relation, Function, Domain & Range Group Activity Group Members: Introduction to Functions Activity

Relation, Function, Domain & Range Group Activity Group Members:

Introduction to Functions Activity Activity Task #1) Write a relation that is not a function with at least 6 ordered pairs: Task #2) Write a function with at least 6 ordered pairs: Task #3) Now on separate, blank sheet of paper, copy down both of the relations, and ask another person in your group to

1) Identify which relation is the function 2) Explain why the other relation is not a function.

Task #4) Compare your answers. Task #5) After you have both agreed upon an answer, explain what prevented the one relation from being a function. © 2006 www.mathwarehouse.com All Rights Reserved Commercial Use Prohibited TEACHERS: Feel free to make copies of this worksheet for the sole purpose of use in your own classroom. ENJOY!!!

Page 21: Home - Martins Ferry Middle Schoolms.mfcsd.k12.oh.us/UserFiles/Servers/Server...Relation, Function, Domain & Range Group Activity Group Members: Introduction to Functions Activity
Page 22: Home - Martins Ferry Middle Schoolms.mfcsd.k12.oh.us/UserFiles/Servers/Server...Relation, Function, Domain & Range Group Activity Group Members: Introduction to Functions Activity

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Kuta Software - Infinite Pre-Algebra Name___________________________________

Period____Date________________Area of Squares, Rectangles, and Parallelograms

Find the area of each.

1) 2 m

7.7 m

2)

1 in

1 in

3) 6.9 in

2.4 in

4) 6 in

8 in

5) 1.5 yd

4 yd

6)

4 in

5.9 in

7)

18.7 yd

6 yd

18.7 yd

8)

5.8 m

6 m

5.8 m5 m

6 m

-1-

Page 23: Home - Martins Ferry Middle Schoolms.mfcsd.k12.oh.us/UserFiles/Servers/Server...Relation, Function, Domain & Range Group Activity Group Members: Introduction to Functions Activity

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9)

3 m 6.6 m

10)

14.9 ft

15.1 ft

14.9 ft

7 ft

15.1 ft

11)

10.2 cm

14.2 cm

10.2 cm

12)

18.8 m

15.2 m20 m

13)

18 in

19 in

18 in

19 in

14)

18 mi 18 mi

18 mi

-2-

Page 24: Home - Martins Ferry Middle Schoolms.mfcsd.k12.oh.us/UserFiles/Servers/Server...Relation, Function, Domain & Range Group Activity Group Members: Introduction to Functions Activity

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Kuta Software - Infinite Pre-Algebra Name___________________________________

Period____Date________________Area of Squares, Rectangles, and Parallelograms

Find the area of each.

1) 2 m

7.7 m

15.4 m²

2)

1 in

1 in

1 in²

3) 6.9 in

2.4 in

16.56 in²

4) 6 in

8 in

48 in²

5) 1.5 yd

4 yd

6 yd²

6)

4 in

5.9 in

23.6 in²

7)

18.7 yd

6 yd

18.7 yd

112.2 yd²

8)

5.8 m

6 m

5.8 m5 m

6 m

30 m²

-1-

Page 25: Home - Martins Ferry Middle Schoolms.mfcsd.k12.oh.us/UserFiles/Servers/Server...Relation, Function, Domain & Range Group Activity Group Members: Introduction to Functions Activity

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9)

3 m 6.6 m

19.8 m²

10)

14.9 ft

15.1 ft

14.9 ft

7 ft

15.1 ft

105.7 ft²

11)

10.2 cm

14.2 cm

10.2 cm

144.84 cm²

12)

18.8 m

15.2 m20 m

304 m²

13)

18 in

19 in

18 in

19 in

342 in²

14)

18 mi 18 mi

18 mi

324 mi²

-2-

Create your own worksheets like this one with Infinite Pre-Algebra. Free trial available at KutaSoftware.com

Page 26: Home - Martins Ferry Middle Schoolms.mfcsd.k12.oh.us/UserFiles/Servers/Server...Relation, Function, Domain & Range Group Activity Group Members: Introduction to Functions Activity

©n Z2j041E2w XK2uhttaL GSbodfKtvwja5rpeD NLFLICO.v n aAXl8ly lrbiggJhWtmsl lrre6scevrxvqeadB.6 6 0Mwa8dKeL owqipteho JIhnUffiEnjijtgeq 3PurMeT-ZA4l1gmeLbdrHa1.0 Worksheet by Kuta Software LLC

Kuta Software - Infinite Pre-Algebra Name___________________________________

Period____Date________________Circles

Find the circumference of each circle. Round to the nearest tenth.

1)

4.5 m

2)

5 cm

3)

14 in

4)

30.2 cm

5)

16.8 cm

6)

26 cm

7) radius = 12 yd 8) radius = 5.5 mi

-1-

Page 27: Home - Martins Ferry Middle Schoolms.mfcsd.k12.oh.us/UserFiles/Servers/Server...Relation, Function, Domain & Range Group Activity Group Members: Introduction to Functions Activity

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Find the area of each. Round to the nearest tenth.

9)

12 ft

10)

10 cm

11)

8 m

12)

4 m

13)

20 yd

14)

34 ft

15) radius = 8 ft 16) radius = 5 cm

Find the diameter of each circle.

17) area = 4

π in² 18) area = 49

π yd²

19) circumference = 162

π yd 20) circumference = 30

π yd

-2-

Page 28: Home - Martins Ferry Middle Schoolms.mfcsd.k12.oh.us/UserFiles/Servers/Server...Relation, Function, Domain & Range Group Activity Group Members: Introduction to Functions Activity

©l 5200z1b2l HKLuwtDa9 NS4okfptsw9aKrJeg WLgLqCP.Q N 4ArlVl6 aruirgehBtSs1 4r5eqsqezrlv4epd6.I m 0MDaPdWey 7wnigtRh4 FIPnDfJimnqictSez FPMrxe6-uADlpgAezbzrsaz.L Worksheet by Kuta Software LLC

Kuta Software - Infinite Pre-Algebra Name___________________________________

Period____Date________________Circles

Find the circumference of each circle. Round to the nearest tenth.

1)

4.5 m

28.3 m

2)

5 cm

31.4 cm

3)

14 in

88 in

4)

30.2 cm

94.9 cm

5)

16.8 cm

52.8 cm

6)

26 cm

81.7 cm

7) radius = 12 yd

75.4 yd

8) radius = 5.5 mi

34.6 mi

-1-

Page 29: Home - Martins Ferry Middle Schoolms.mfcsd.k12.oh.us/UserFiles/Servers/Server...Relation, Function, Domain & Range Group Activity Group Members: Introduction to Functions Activity

©Z B2l0w1u2C 4KouCtyaJ fSxosfQt9wvaTrLeS JL6LkCQ.B A aAzlmlA Xrei6gJh3tNsJ Xr7e0speCrbvYeodz.p o WM8atdYe4 MwriHtThs FIPn3fmi1nyiyt3ez rPbrXeF-aA8l2gOeObXrYau.x Worksheet by Kuta Software LLC

Find the area of each. Round to the nearest tenth.

9)

12 ft

452.4 ft²

10)

10 cm

314.2 cm²

11)

8 m

201.1 m²

12)

4 m

12.6 m²

13)

20 yd

314.2 yd²

14)

34 ft

907.9 ft²

15) radius = 8 ft

201.1 ft²

16) radius = 5 cm

78.5 cm²

Find the diameter of each circle.

17) area = 4

π in²

4 in

18) area = 49

π yd²

14 yd

19) circumference = 162

π yd

162 yd

20) circumference = 30

π yd

30 yd

-2-

Create your own worksheets like this one with Infinite Pre-Algebra. Free trial available at KutaSoftware.com

Page 30: Home - Martins Ferry Middle Schoolms.mfcsd.k12.oh.us/UserFiles/Servers/Server...Relation, Function, Domain & Range Group Activity Group Members: Introduction to Functions Activity

©J R2i0Q1Z2B 7KduetFaK zStotf4tTw5aCrrev ZLRLnCl.n t RAOlMlT 2rOiIg0hHtEsz CrqeIs5eVrLvrerdK.Y I TM0aqdDe5 wwzihtHh7 zIRnkf3itnai8txeK BGZenoOmgeGttriyn.X Worksheet by Kuta Software LLC

Kuta Software - Infinite Geometry Name___________________________________

Period____Date________________Circumference and Area of Circles

Find the area of each. Use your calculator's value of

ππππ. Round your answer to the nearest tenth.

1)

12 in

2)

14 km

3)

9 m

4)

11 cm

5) radius = 2.6 in 6) radius = 34.1 in

7) radius = 13.2 km 8) radius = 29.9 km

Find the circumference of each circle. Use your calculator's value of

ππππ. Round your answer to the

nearest tenth.

9)

8 mi

10)

8.3 yd

-1-

Page 31: Home - Martins Ferry Middle Schoolms.mfcsd.k12.oh.us/UserFiles/Servers/Server...Relation, Function, Domain & Range Group Activity Group Members: Introduction to Functions Activity

©W B2D0G1d24 nKju8tXaY OSzo7f3ttw3a4rQe6 fL9LHCR.B G DAclqlO BriiOgHh2tRsG brZebseeErBvoeNdP.6 D IMyakdkeJ PwOibt0hY iIpnyfrilnyiGtret oGBeNo1m6eLtirryh.t Worksheet by Kuta Software LLC

11)

4.2 yd

12)

6.2 mi

13) radius = 5.2 ft 14) radius = 11.1 ft

15) radius = 9.5 in 16) radius = 9.3 in

Find the radius of each circle. Use your calculator's value of

ππππ. Round your answer to the nearest

tenth.

17) circumference = 62.8 mi 18) circumference = 69.1 yd

19) circumference = 12.6 yd 20) circumference = 25.1 ft

Find the diameter of each circle. Use your calculator's value of

ππππ. Round your answer to the nearest

tenth.

21) area = 201.1 in² 22) area = 78.5 ft²

Find the circumference of each circle.

23) area = 64

π mi² 24) area = 16

π in²

Find the area of each.

25) circumference = 6

π yd 26) circumference = 22

π in

Critical thinking question:

27) Find the radius of a circle so that its area

and circumference have the same value.

-2-

Page 32: Home - Martins Ferry Middle Schoolms.mfcsd.k12.oh.us/UserFiles/Servers/Server...Relation, Function, Domain & Range Group Activity Group Members: Introduction to Functions Activity

©G 82A0R1z2e 2KOuTtIaI UStoSfDtYwxaDrFeo uLFLRCr.C X gAMlslS PrziTg9hptOsg RrCe5saeBr5v2evd3.P 3 bMrapdieW owmiYtyhD bIPnFf0iunQintxex WGGe3oWmVeFtvrJyH.l Worksheet by Kuta Software LLC

Kuta Software - Infinite Geometry Name___________________________________

Period____Date________________Circumference and Area of Circles

Find the area of each. Use your calculator's value of

ππππ. Round your answer to the nearest tenth.

1)

12 in

452.4 in²

2)

14 km

615.8 km²

3)

9 m

254.5 m²

4)

11 cm

380.1 cm²

5) radius = 2.6 in

21.2 in²

6) radius = 34.1 in

3653.1 in²

7) radius = 13.2 km

547.4 km²

8) radius = 29.9 km

2808.6 km²

Find the circumference of each circle. Use your calculator's value of

ππππ. Round your answer to the

nearest tenth.

9)

8 mi

50.3 mi

10)

8.3 yd

52.2 yd

-1-

Page 33: Home - Martins Ferry Middle Schoolms.mfcsd.k12.oh.us/UserFiles/Servers/Server...Relation, Function, Domain & Range Group Activity Group Members: Introduction to Functions Activity

©f Y2S0C162S HKkuFt6aD fSRoIfptnwtamrieJ CLKLACo.T 1 tA6lUlW crEiXgahmtjsl rr1ebsBeTrLv1eKdy.C 3 FMvacdhe3 6wDiQt4hW CIVnCfhiSn6iOtxe8 qGkeno7mWeqt5rPyo.P Worksheet by Kuta Software LLC

11)

4.2 yd

26.4 yd

12)

6.2 mi

39 mi

13) radius = 5.2 ft

32.7 ft

14) radius = 11.1 ft

69.7 ft

15) radius = 9.5 in

59.7 in

16) radius = 9.3 in

58.4 in

Find the radius of each circle. Use your calculator's value of

ππππ. Round your answer to the nearest

tenth.

17) circumference = 62.8 mi

10 mi

18) circumference = 69.1 yd

11 yd

19) circumference = 12.6 yd

2 yd

20) circumference = 25.1 ft

4 ft

Find the diameter of each circle. Use your calculator's value of

ππππ. Round your answer to the nearest

tenth.

21) area = 201.1 in²

16 in

22) area = 78.5 ft²

10 ft

Find the circumference of each circle.

23) area = 64

π mi²

16

π mi

24) area = 16

π in²

8

π in

Find the area of each.

25) circumference = 6

π yd

9

π yd²

26) circumference = 22

π in

121

π in²

Critical thinking question:

27) Find the radius of a circle so that its area

and circumference have the same value.

r = 2

-2-

Create your own worksheets like this one with Infinite Geometry. Free trial available at KutaSoftware.com

Page 34: Home - Martins Ferry Middle Schoolms.mfcsd.k12.oh.us/UserFiles/Servers/Server...Relation, Function, Domain & Range Group Activity Group Members: Introduction to Functions Activity

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Kuta Software - Infinite Geometry Name___________________________________

Period____Date________________All Transformations

Graph the image of the figure using the transformation given.

1) rotation 90° counterclockwise about theorigin

x

y

J

Z

L

2) translation: 4 units right and 1 unit down

x

y

Y

F

G

3) translation: 1 unit right and 1 unit up

x

y

E

J

T

M

4) reflection across the x-axis

x

y

M

C J

K

Write a rule to describe each transformation.

5)

x

y

H

C

B

H'

C'

B'

6)

x

y

P

D

E

I

D'

E'

I' P'

-1-

Page 35: Home - Martins Ferry Middle Schoolms.mfcsd.k12.oh.us/UserFiles/Servers/Server...Relation, Function, Domain & Range Group Activity Group Members: Introduction to Functions Activity

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7)

x

y

E

R

F

I

R'

F'

I'

E'

8)

x

y

X

B

G

X'

B'

G'

Graph the image of the figure using the transformation given.

9) rotation 90° clockwise about the origin

B(−2, 0), C(−4, 3), Z(−3, 4), X(−1, 4)

x

y

10) reflection across

y =

x

K(−5, −2), A(−4, 1), I(0, −1), J(−2, −4)

x

y

Find the coordinates of the vertices of each figure after the given transformation.

11) rotation 180° about the origin

E(2, −2), J(1, 2), R(3, 3), S(5, 2)12) reflection across

y = 2

J(1, 3), U(0, 5), R(1, 5), C(3, 2)

13) translation: 7 units right and 1 unit down

J(−3, 1), F(−2, 3), N(−2, 0)14) translation: 6 units right and 3 units down

S(−3, 3), C(−1, 4), W(−2, −1)

-2-

Page 36: Home - Martins Ferry Middle Schoolms.mfcsd.k12.oh.us/UserFiles/Servers/Server...Relation, Function, Domain & Range Group Activity Group Members: Introduction to Functions Activity

©n f2P0C1H2R HKvu2t8an AS5olf3t1wJalrveU 6LPLQCM.Z t yADlulA jrsivgFhCtcsK 2rredsJekrFvoe5dZ.k O qMJaud4eV hwLiftIhk zIHnRfIiCnqiltveZ oGke9o8m6eSt1r1yp.d Worksheet by Kuta Software LLC

Kuta Software - Infinite Geometry Name___________________________________

Period____Date________________All Transformations

Graph the image of the figure using the transformation given.

1) rotation 90° counterclockwise about theorigin

x

y

J

Z

L

J'

Z'

L'

2) translation: 4 units right and 1 unit down

x

y

Y

F

G

Y'

F'

G'

3) translation: 1 unit right and 1 unit up

x

y

E

J

T

M

E'

J'

T'

M'

4) reflection across the x-axis

x

y

M

C J

K

C' J'

K'

M'

Write a rule to describe each transformation.

5)

x

y

H

C

B

H'

C'

B'

translation: 1 unit right

6)

x

y

P

D

E

I

D'

E'

I' P'

reflection across

x = 3

-1-

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©b Y230B1M25 jK6uPt3aF hS7oAfHtxwkaGrgeH YLqLoCT.Z D MABlplT nrNiZgShftksp SrzeYsZegr2vkeXdr.h w zMlaydWeA CwkiftkhF 5I8nZfriYnuiwtle2 jGae8oEmMeitprYy7.H Worksheet by Kuta Software LLC

7)

x

y

E

R

F

I

R'

F'

I'

E'

reflection across the x-axis

8)

x

y

X

B

G

X'

B'

G'

rotation 180° about the origin

Graph the image of the figure using the transformation given.

9) rotation 90° clockwise about the origin

B(−2, 0), C(−4, 3), Z(−3, 4), X(−1, 4)

x

y

B'

C'

Z'

X'

B

C

ZX

10) reflection across

y =

x

K(−5, −2), A(−4, 1), I(0, −1), J(−2, −4)

x

y

A'

I'

J'

K'

K

A

I

J

Find the coordinates of the vertices of each figure after the given transformation.

11) rotation 180° about the origin

E(2, −2), J(1, 2), R(3, 3), S(5, 2)

E'(−2, 2), J'(−1, −2), R'(−3, −3), S'(−5, −2)

12) reflection across

y = 2

J(1, 3), U(0, 5), R(1, 5), C(3, 2)

U'(0, −1), R'(1, −1), C'(3, 2), J'(1, 1)

13) translation: 7 units right and 1 unit down

J(−3, 1), F(−2, 3), N(−2, 0)

J'(4, 0), F'(5, 2), N'(5, −1)

14) translation: 6 units right and 3 units down

S(−3, 3), C(−1, 4), W(−2, −1)

S'(3, 0), C'(5, 1), W'(4, −4)

-2-

Create your own worksheets like this one with Infinite Geometry. Free trial available at KutaSoftware.com

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4/10/2020 AIR Science Grade 8 - GradeBook

https://gb.omeresa.net/Quiz/Question/Summary?quizId=6241 1/11

PDF File(https://prodlib1.blob.core.windows.net/virtualclassroom/vlacontent/lesson12299/casci8u01earths_interior.pdf)

EARTH'S INTERIOR

Unit Overview

In this unit, the students will be given an overview and assessment of how the composition and properties ofEarth’s interior are identified by the behavior of seismic waves. (8.ESSS.1).

Content Elaborations

The refraction and reflection of seismic waves as they move through one type of material to another are used todifferentiate the layers of Earth’s interior. Earth has an inner and outer core, an upper and lower mantle, and acrust.

The formation of the planet generated heat from gravitational energy and the decay of radioactive elements,which are still present today. Heat released from Earth’s core drives convection currents throughout the mantleand the crust.

The matter is made up of atoms. Igneous, metamorphic and sedimentary rocks form in different ways anddifferent environments. Magma from Earth’s interior forms igneous rocks. Position and speed can be measuredand graphed as a function of time. Matter and energy can be transferred through Earth’s spheres. Energy can betransformed from one form to another. Thermal energy can be transferred through radiation, convection, andconduction. Electromagnetic waves transfer energy when they interact with matter.

Earth and other planets in the solar system formed as heavier elements coalesced in their centers. Planetarydifferentiation is a process in which more dense materials of a planet sink to the center, while less dense materialsstay on the surface. A major period of planetary differentiation occurred approximately 4.6 billion years ago.

Let’s Practice

Use the information from the Content Elaborations to complete this activity sheet(https://virtuallearningacademy.net/VLA/LessonDisplay/Lesson12299/Earth's%20Interior.pdf).

Earth and Space Science: Earth's Interior(8.ESS.1)

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Which liquid should go in position A of the graduated cylinder based on the densities provided in the table?

Which liquid should go in position B of the graduated cylinder based on the densities provided in the table?

Which liquid should go in position C of the graduated cylinder based on the densities provided in the table?

Use the information in the graphic to answer the questions in this section.

1)

A) liquid Q

B) liquid R

C) liquid S

D) liquid T

E) liquid U

2)

A) liquid Q

B) liquid R

C) liquid S

D) liquid T

E) liquid U

3)

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Which liquid should go in position D of the graduated cylinder based on the densities provided in the table?

Which liquid should go in position E of the graduated cylinder based on the densities provided in the table?

A) liquid Q

B) liquid R

C) liquid S

D) liquid T

E) liquid U

4)

A) liquid Q

B) liquid R

C) liquid S

D) liquid T

E) liquid U

5)

A) liquid Q

B) liquid R

C) liquid S

D) liquid T

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Which liquid best represents position A on the cross-section of the Earth?

Which liquid best represents position B on the cross-section of the Earth?

Which liquid best represents position C on the cross-section of the Earth?

E) liquid U

6)

A) liquid Q

B) liquid R

C) liquid S

D) liquid T

E) liquid U

7)

A) liquid Q

B) liquid R

C) liquid S

D) liquid T

E) liquid U

8)

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Which liquid best represents position D on the cross-section of the Earth?

Which liquid best represents position E on the cross-section of the Earth?

A) liquid Q

B) liquid R

C) liquid S

D) liquid T

E) liquid U

9)

A) liquid Q

B) liquid R

C) liquid S

D) liquid T

E) liquid U

10)

A) liquid Q

B) liquid R

C) liquid S

D) liquid T

E) liquid U

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There is a change in density occurring at 30 km.

There is a liquid layer from 2,900 km to 5,200 km.

The densest material is found from 2,900 km to 5,200 km.

The densest material is found from 5,200 km to 6,300 km.

There is a boundary between solid and liquid layers at 30 km.

There is a density change that occurs at 2,900 km and 5,200 km.

The composition of Earth from its surface to its center 6,300 kilometer (km) down can be studied usingseismic waves. There are two basic types of seismic waves, S-waves and P-waves. Students studyingEarth's interior are given the following information about P and S waves and how they travel throughEarth.

S-waves travel only through solids.P-waves at 30 km depth change direction.P-waves can travel through solids and liquids.S-waves and P-waves are detected from 5,200 km to 6,300 km deep.P-waves, but no S-waves, are detected from 2,900 km to 5,200 km deep.S-waves and P-waves are detected from the surface (0 km) to 2,900 km deep.

For the questions in this section, determine if the statement can be concluded from this information.

11)

A) Yes

B) No

12)

A) Yes

B) No

13)

A) Yes

B) No

14)

A) Yes

B) No

15)

A) Yes

B) No

16)

A) Yes

B) No

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As the density of matter increases, it moves toward the lower mantle.

As the temperature of matter increases, it moves towards the lower mantle.

As the density of matter decreases, it moves toward the upper mantle.

As the temperature of matter decreases, it moves toward the lower mantle.

Aluminum

Convection currents in the mantle are driven by changes in the temperature and density of material. Forthe questions in this section, determine if the statement is True or False.

In a very young planet, also called a protoplanet, elements are distributed evenly throughout. As theprotoplanet ages, the elements separate, leading to the formation of layers with different elementconcentrations. Some of these elements are listed, along with their atomic masses and laboratorydensities. For the questions in this section, determine if the element listed would be found in the highestconcentration after the planet differentiates into layers A or B.

17)

True

False

18)

True

False

19)

True

False

20)

True

False

21)

A) layer A

B) layer B

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Calcium

Iron

Nickel

Silicon

Sodium

What statement about seismic waves is accurate?

Select the two processes that occur at mid-ocean ridges.

22)

A) layer A

B) layer B

23)

A) layer A

B) layer B

24)

A) layer A

B) layer B

25)

A) layer A

B) layer B

26)

A) layer A

B) layer B

27)

A) Seismic waves only relate to earthquakes.

B) Seismic waves have uniform motion within Earth's layers.

C) Seismic waves change speed when density changes in Earth'slayers.

D) Seismic waves determine differences in temperature in Earth'slayers.

28)

A) Material rises from the mantle to the crust.

B) Crustal rock subducts into the mantle and melts.

C) Sediments from the crust sink into the mantle.

D) Thermal energy rises from the mantle to the crust.

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Which statement describes the heat that results from the radioactive decay of elements deep in the Earth's interior?

Density Increases [Choose]

Density Decreases [Choose]

Temperature Increases [Choose]

Temperature Decreases [Choose]

Below are additional educational resources and activities for this unit.

Earth’s Structure (https://brainpop.statestandards.com/redirect.pl?aid=911901&sid=2724582) Plate Tectonics (https://brainpop.statestandards.com/redirect.pl?aid=911941&sid=2724583)Soil (https://brainpop.statestandards.com/redirect.pl?aid=911581&sid=2724582) Earthquake Game (https://brainpop.statestandards.com/redirect.pl?aid=2474871&sid=2724582)Volcanoes (https://brainpop.statestandards.com/redirect.pl?aid=911638&sid=2724582)

Earth and Space Science (https://quizlet.com/_5fwdr5)

Earth’s Interior (https://edcite.com/1j698b)

E) Tsunami waves transfer energy from the crust to the mantle.

29)

30)

A) It originally came from our sun

B) It is the reason the inner core is solid

C) It drives the convection currents in the mantle

D) It heats the atmosphere and makes life possible

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Text:

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