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Classroom Strategies Blackline Master

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BUILD A MODEL

Figure B side

Figure B front

Figure B top

Figure A side

Figure A front

Figure A top• • • • • • • • • • • • • • • • • • •

II - 24

Name_______________________________________Date___________

Classroom Strategies Blackline Master Page 59

Interlocking Cubes

Build the seven 3-d figures described below. The top, end, and side views are given.

1. 2.

top

endside

top

endside

3. 4.

top

endside top end

side

5. 6.

top

end side topend

side

7.

top end side

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Name_______________________________________Date___________

Classroom Strategies Blackline Master II - 26

Name_______________________________________Date___________

Interlocking Cube Tasks

1. Create the figure shown by using only two interlocking cubes.

2. Create one large cube using ALL the interlocking cubes. (This can be done

in several ways and it is a good idea first to place the cubes numbered 4, 6, and 7.

Use piece #1 last.

3. Using the following ten models, recreate these with your interlocking cubes.

4. Create your own model and then draw its end, top, and side view.

5. Exchange your drawing of your original model with a friend. Recreate each other’smodels from the side, top, and end views provided.


Interlocking Cube Models

II - 27


Interlocking Cube Models (cont.)

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Classroom Strategies Blackline Master 3

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ISOMETRIC DOT PAPER

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II- 29

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3-D Drawing

Name_______________________________________Date___________


Going Up Cooperative Task Cards-1

Going Up #1

There are nine blocks in all.

There are three colors used.

Going Up #1

No two blocks of the same color touch.

Going Up #1

The ends of the building are identical towers.

Top blocks of both towers arered.

Going Up #1

There are two red blocks onthe bottom level.

Going Up #1

All blue blocks are on the bottom level.

Going Up #1

There are 2 yellow blocks.

II - 31


Going Up Cooperative Task Cards-2

Going Up #2

There are seven blocks in all.

Two of the blocks are red.

Going Up #2

No two blocks of the same color share a face.

Going Up #2

The only block on the thirdlevel is green.

Going Up #2

The blue blocks share an edge.

The red blocks share an edge.

Going Up #2

Three different colored blocks form the bottom level.

Going Up #2

There are more green blocksthan any other color.

II - 32

Classroom Strategies Blackline Master Page 67II - 33

Name_______________________________________Date___________

Models for Surface Area and Volume

Materials needed: scissors, tape, black line masters of shapes, isometric dot paper

Procedure.

1. Cut out each net provided. You should have two copies for the large rectangularprism, a small rectangular prism, a cube, and a triangular prism. Note: It will beeasier to fold the shapes crisply if you first lightly go over the fold lines with thepoint of a scissors. Fold the shapes so the grid is on the outside of the shape.

2. Find the surface area and volume of each shape. Record below.

3. Now find new shapes by combining any two of your five models. The new shapesshould be formed by matching congruent faces of the original shapes. Surface areasand volumes are given below for new shapes, which are each combinations of two ofthe original blocks you built. Find out how to build the shapes described and recordthe solution by drawing it on isometric dot paper.

Original Shapes Surface Area Volume

Large Rectangular Prism _________ _________

Cube _________ _________

Small Rectangular Prism _________ _________

Triangular Prism _________ _________

Combination Shapes Surface Area Volume

1. 256 cm2 256 cm3

2. 288 cm2 256 cm3

3. 224 cm2 192 cm3

4. 208 cm2 192 cm3

5. ~212 cm2 192 cm3

6. ~244 cm2 192 cm3

7. ~180 cm2 128 cm3

8. ~164 cm2 128 cm3

9. ~176 cm2 128 cm3

10. ~196 cm2 128 cm3


Models for Surface Area and Volume – Large Rectangular

Prism (make 2 of these)

II - 34


Models for Surface Area and Volume – Triangular Prism

Roundarea ofthis face tonearest sq. cm.

Act

ual l

engt

h ~

8.94

cm


Models for Surface Area and Volume – Small Rectangular Prism

(make 2 of these)

II - 36


Models for Surface Area and Volume – Cube

II - 37


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ISOMETRIC DOT PAPER

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Name_______________________________________Date___________


Models for Volume of a Prism


Volume - 7a Name________________________ Date_______________

Find each volume below.

1. The volume of cylinder A is 25 cubic cm. Find the volumes of cylinders B and C.

2. The volume of prism A is 36 cubic cm. Find the volumes of prisms B and C.

1 cm

A B C

1 cmA B

C


Volume - 7a Name________________________ Date_______________

Find each volume below.

1. Find the volume of the rectangular solid shown.

2. Find the volume of the prisms below.

24 cm10 cm

60 cm

15 cm8 cm

30 cm

15 cm8 cm

30 cm

Classroom Strategies Blackline Master II- 42

Name_______________________________________Date___________

Coordinating Change

I. Plot the following points and draw the polygon, ABCD. A(0,0), B(0,5), C(5,5), D(5,0)What is the shape of ABCD? __________What is the perimeter of ABCD? _________What is the area of ABCD? __________

II. On a new grid, draw a new shape. Use the same coordinates as ABCD, but change each x-value to 3 times the original value. Keep the y-values the same.A’( , ), B’ ( , ), C’( , ), D’( , )How does the shape of A’B’C’D’ compare to the shape of ABCD?What is the new perimeter? _________What is the new area? _________

III. On a new grid, draw a new shape. Use the same coordinates as ABCD, but change each y-value to 2 times the original value. Keep the x-values the same.A’’( , ), B’’ ( , ), C’’( , ), D’’( , )How does the shape of A’’B’’C’’D’’ compare to the shape of ABCD?

What is the new perimeter? _________

What is the new area? _________

IV. On a new grid, draw a new shape. Use the same coordinates as ABCD, but change each x-value AND each y-value to 2 times the original value. A’’’( , ), B’’’ ( , ), C’’’( , ), D’’’( , )How does the shape of A’’’B’’’C’’’D’’’ compare to the shape of ABCD?What is the new perimeter? _________What is the new area? _________


Name_______________________________________Date___________Coordinating Change (cont.)

V. Plot the following points and draw the polygon, ABCDEFGH. A(0,0), B(6,0), C(6,8), D(4,8), E(4,4), F(2,4), G(2,8), H(0,8)What is the shape of ABCDEFGH? __________What is the perimeter of the polygon? _________What is the area of the polygon? __________

VI. On a new grid, draw a new shape. Use the same coordinates as ABCDEFGH, but changeeach x-value to 3 times the original value. Keep the y-values the same.A’( , ), B’ ( , ), C’( , ), D’( , ), E’ ( , ), F’( , ), G’( , ), H’( , )How does the shape of the new polygon compare with the original?

What is the new perimeter? _________What is the new area? _________

VII. On a new grid, draw a new shape. Use the same coordinates as ABCDEFGH, but changeeach x-value to 3 times the original value. Keep the y-values the same.A’’( , ), B’’ ( , ), C’’( , ), D’’( , ), E’’ ( , ), F’’( , ), G’’( , ), H’’( , )How does the shape of the new polygon compare with the original?


VIII. On a new grid, draw a new shape. Use the same coordinates as ABCDEFGH, but changeeach x-value AND each y-value to 2 times the original value. A’’’( , ), B’’’ ( , ), C’’’( , ), D’’’( , ), E’’’ ( , ), F’’’( , ), G’’’( , ), H’’’( , )

How does the shape of the new polygon compare with the original?


Classroom Strategies Blackline Master II- 44

Coordinating Change – Grid SheetI. II.

III. IV.

Name_______________________________________Date___________


Coordinating Change – Grid SheetV. VI.

VII. VIII.

IX. Suppose a regular pentagon is drawn so that the area is 20 square inches. An enlargement ismade with each side of the new figure being twice the length of each side of the original.Predict the area of the enlarged pentagon.

_____________

Name_______________________________________Date___________


Name_______________________________________Date___________

In an old Hollywood movie, a woman suddenly grows to a height of 50 feet. Imagine a world where the women are normally 50 feet tall. Assuming everything else in their world is to the same scale as in ours, calculate the measurements of commonly found items in that world. Use 65 inches as the height of an average Earth woman. Item Measurement Measurement Can you find something

Earth Giant Planet on Earth about this size?

Dinner plate ___________ _____________ __________________(diameter)

Water glass ___________ _____________ __________________(height)

Sports car ___________ _____________ __________________(length)

Shoe ___________ _____________ __________________(length)

Ring ___________ _____________ __________________(diameter)

Banana ___________ _____________ __________________(length)

Watermelon___________ _____________ __________________(length)

Pet cat ___________ _____________ __________________(length)

Attack of the 50 Foot Woman


Name_______________________________________Date___________Lost in Space

Suppose you are lost in space and land on various strange planets. You meet no creatures, but you find some of their belongings and decide to guess the height of the alien beings. Use 6 feet as the height of a human.

Found Item Item the same size Item size Height of the on Earth on Earth Alien

Dinner plate

Penny _____________ __________________

Water glass

Garbage Can _____________ __________________

Sports car

Match box _____________ __________________

Film canister

Oatmeal box _____________ __________________

Ring Hula Hoop _____________ __________________

Bed sheet Napkin _____________ __________________

Pencil Telephone pole _____________ __________________

Fridge Bar of Soap _____________ __________________


Similar Figures Name________________________ Date_______________

The shapes below are similar. Find x.

1.

2.

3. Figure ABC is similar to figure DEF.

4. Figure ABCD is similar to figure GHIK.

24

916

x

7.2

16x

36

A

B

C

DE

F40

25

20x 32

A B

CD

G

H

I

K34

688

x

Classroom Strategies Blackline Master Page 83 II - 49

Similar Figures Name________________________ Date_______________

5. Figure ABC is similar to figure ADE. Find x.

6. Figure ABCD is similar to figure AGHI. Find x.

A

B

C

D

E

1015

12 x

A

B

C

D

GH

I

2

4

21

7

6x

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