this assignment is a test grade & is due on . you may use a … · 2019-05-06 · 4 creating...

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1 Name: _____________________________________ Period: _______ This assignment is a test grade & is due on ________________________. You may use a calculator. Original DRAWING- Colored 1) Using the 14-cm by 12-cm graph paper below, create a design or picture. 2) Your picture MUST include at least one of EACH of the following shapes: Rectangle or Square Parallelogram or Rhombus Trapezoid Triangle- any type Circle 3) Color your design with colored pencils. 4) Outline all of the shapes in a BLACK SHARPIE. 5) Cut out drawing. Key Concepts: 1. How much will the plastic shrink when it is heated? 2. Will it shrink the same amount in ALL directions?

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Page 1: This assignment is a test grade & is due on . You may use a … · 2019-05-06 · 4 Creating Your Shrinky Dink Directions: Place a checkmark next to each number as you complete the

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Name: _____________________________________ Period: _______

This assignment is a test grade & is due on ________________________.

You may use a calculator.

Original DRAWING- Colored

1) Using the 14-cm by 12-cm graph paper below, create a design or picture.

2) Your picture MUST include at least one of EACH of the following shapes:

Rectangle or Square

Parallelogram or Rhombus

Trapezoid

Triangle- any type

Circle

3) Color your design with colored pencils.

4) Outline all of the shapes in a BLACK SHARPIE.

5) Cut out drawing.

Key Concepts:

1. How much will the plastic shrink when it is heated?

2. Will it shrink the same amount in ALL directions?

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.

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DRAWING Dimensions vs. ACTUAL Shrinky Dink Dimensions Remember the shapes you choose.

Write dimensions (round to tenth’s place) for

ONE of each shape type in your drawing.

Remember for height, measure the altitude

from a vertex down to the base.

Write out Area Formula & Calculate Area of

DRAWING & ACTUAL Shrinky Dink.

LABEL (cm²)

Round to tenth’s place.

DRAWING

Base & Height

Actual SHRINKY

DINK

(Base & Height)

DRAWING Formula

& Area

Actual SHRINKY

DINK

Area Rectangle/ Square

b =

h =

Rectangle/ Square

b =

h =

Rectangle/ Square

Rectangle/ Square

Parallelogram/Rhombus

b =

h =

Parallelogram/Rhombus

b =

h =

Parallelogram/Rhombus

Parallelogram/Rhombus

Trapezoid

𝒃𝟏 + 𝒃𝟐 =

h =

Trapezoid

𝒃𝟏 + 𝒃𝟐 =

h =

Trapezoid

Trapezoid

Triangle

b =

h =

Triangle

b =

h =

Triangle

Triangle

Circle

r =

d =

Circle

r =

d =

Circle- Use 3.14 for π

Circle- Use 3.14 for π

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Creating Your Shrinky Dink Directions: Place a checkmark next to each number as you complete the task.

____ 1. Cut out your DRAWING- Colored from page 1 without the dimensions.

____ 2. Using sandpaper, sand the plastic so that when you hold it up to the light,

you cannot see any smooth plastic, or light coming through.

____ 3. Place the plastic over your colored original design and using a pencil,

trace your design onto the sanded side of the plastic. Use a ruler to make

straight lines.

____ 4. Using ONLY colored pencils, color in your design EXACTLY like your

DRAWING.

Color in your shapes as dark as possible.

When you hold it up to the light, you can’t see any white spaces.

____ 5. Trace the outsides of your shapes with a BLACK SHARPIE.

Use a ruler for straight lines.

____ 6. DO NOT PUT YOUR NAME ON THE SHRINKY DINK.

____ 7. Punch a hole in your plastic Shrinky Dink if you wish.

____ 8. Bring Shrinky Dink to oven to be melted.

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DRAWING vs. ACTUAL Shrinky Dink

DRAWING ACTUAL Shrinky Dink

1) Glue Stick your DRAWING to the left of this page below, under DRAWING.

2) Trace the perimeter of the ACTUAL Shrinky Dink on the right side of this page, under ACTUAL

SHRINKY DINK.

3) Measure (cm) the base & height of your DRAWING & Shrinky Dink & write in the dimensions.

Round to the nearest tenth.

4) Measure (cm) the dimensions of the 5 shapes you chose & write the dimensions onto your

DRAWING.

5) Fill out the chart on page 3 for the ACTUAL Shrinky Dink shape dimensions & areas.

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Calculating Scale Factor

A) Height- MODEL vs. ACTUAL Shrinky Dink

Shape

Description

Scale Factor

Height

DRAWING

Height (cm) (Page 3)

MODEL Shrinky

Dink Height (cm) Mathematical Height

ACTUAL Shrinky

Dink Height (cm) (From Page 3)

Rectangle/

Square A)

Parallelogram/

Rhombus A)

Triangle A)

Trapezoid A)

Circle- Diameter A)

1) The MODEL Shrinky Dink is your mathematical prediction of what your ACTUAL Shrinky

Dink should measure. Compare the MODEL Shrinky Dink height results & the ACTUAL

Shrinky Dink height results in the table above.

Did your calculations for the MODEL Shrinky Dink height match the ACTUAL

Shrinky Dink height? Explain.

Column 1 Column 2 Column 3 Column 4

Outside of

Shapes

DRAWING (x)

(cm)

ACTUAL (y)

Shrinky Dink

(cm)

Ratio (cm)

𝑦

𝑥=

DRAWING

kShrinkyDin

Scale Factor

𝒌 =𝒚

𝒙

(Decimal) Round to tenth’s place

Outside Height

(cm) A)

Outside Base

(cm) B)

Area

(𝐜𝐦𝟐) C)

Height

Base

Area

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B) Base- MODEL vs. ACTUAL Shrinky Dink

Shape Description Scale Factor

Base

DRAWING

Base (cm) (Page 3)

MODEL Shrinky

Dink Base (cm) Mathematical Base

ACTUAL Shrinky

Dink Base (cm) (From Page 3)

Rectangle/ Square B)

Parallelogram/

Rhombus B)

Triangle B)

Trapezoid (Add bases together)

B)

2) Compare the MODEL Shrinky Dink base results & the ACTUAL Shrinky Dink base results

in the table above.

Did your calculations for the MODEL Shrinky Dink base match the ACTUAL Shrinky

Dink base? Explain.

C) Area- MODEL vs. ACTUAL Shrinky Dink

Shape

Description

Scale Factor

Area

DRAWING

Area (cm²) (Page 3)

MODEL Shrinky

Dink Area (cm²) Mathematical Area

ACTUAL Shrinky

Dink Area (cm²) (From Page 3)

Rectangle/

Square C)

Parallelogram/

Rhombus C)

Triangle C)

Trapezoid C)

Circle C)

3) Compare the MODEL Shrinky Dink area results & the ACTUAL Shrinky Dink area results in

the table above.

Did your calculations for the MODEL Shrinky Dink area match the ACTUAL Shrinky

Dink area? Explain.

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SHAPE

DRAWING

Area

(mm) cm x 10

MODEL

Shrinky

Dink Area

(mm)

cm x 10

DIFFERENCE

between

DRAWING &

MODEL

areas (mm)

Ratio:

DIFFERENCE

DRAWING

(mm)

Decimal (round to

tenth’s

place)

Percent

Decrease (decimal x

100)

Rectangle/

Square Area

(Red)

Parallelogram/

Rhombus

Area

(Blue)

Triangle

Area

(Green)

Trapezoid

Area

(Purple)

Circle

Area

(Orange)

Directions for the Scatterplot Graph on the next page: (turn page 9 long ways)

Create a scale on both the x & y axis according to your data above, using the results in

(mm). Graph your results in onto the scatterplot using (x, y) as the coordinate points. Use

the colors from the chart to plot each point to represent each shape. DO NOT connect

the points.

The DRAWING (mm) is the x-coordinate.

The MODEL Shrinky Dink (mm) is the y-coordinate.

Convert the DRAWING area & MODEL area

to from cm to mm by multiplying the areas

by 10.

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9

Drawing (mm)

MO

DE

L S

hri

nky

Din

k (

mm

)

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.

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Use the scale factor to draw a copy from the original. You do not need to draw the image inside, just the

outside.

Measure each set of picture frames to the nearest 0.1 cm to determine

the scale factor. Write in the measure of each base & height on both

the original and copy.

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