Lesson 1 Photocopy Faux Pas Develop Understanding

Ready

Give the factor by which each pre-image was multiplied to create the image. Use the scale factor to find any missing lengths.

1.

Two similar triangles; the smaller with sides 2,1,1.5 and the larger with sides 4,2,3. Pre-imageImage

Scale Factor:

2.

Two similar pentagons; the smaller with sides 1,2,1,1.5,1.5 and the larger with sides x,6,y,z,4.5. Pre-imageImage

Scale Factor:

3.

Two similar triangles; the smaller with sides b, 2.5,2 and the larger with sides 2,a,8. ImagePre-image

Scale Factor:

4.

Two similar quadrilaterals; the smaller with sides e,1.5,4,4 and the larger with sides 2.25,d,c,6 Pre-imageImage

Scale Factor:

5.

Two similar sectors of circles; the smaller with radius 2 and arc 3.5, the larger with radius 10 and the arc n. ImagePre-image

Scale Factor:

6.

Two similar triangles, the smaller with sides 3,4,x and the larger with sides 9,12,y. Image: Large TrianglePre-image:Small Triangle

Scale Factor:

Set

For each real-world context or circumstance, determine the center of the dilation and an approximate scale factor or way to determine the scale factor.

7.

Fran walks backward to a distance that will allow her family to all show up in the photo she is about to take.

8.

The theatre technician plays with the zoom in and out buttons in an effort to fill the entire movie screen with the image.

9.

Melanie zooms in on a picture she has on her phone by touching with two fingers and spreading them apart until the picture is enlarged to the desired size.

10.

A digital animator creates artistic works on her computer. She is currently doing an animation that has several telephone poles along a street that goes off into the distance.

11.

Ms. Sunshine is having her class do a project with a rubber-band tracing device that uses three rubber bands.

12.

A copy machine is set at for making a photocopy.

Go

Determine whether the given representation is representative of a linear, exponential, or quadratic function. Classify each as such and justify your reasoning.

13.

Type of function:

Justification:

14.

Graph with function with rate of change increasing with y-intercept at 1. x–5–5–5555y555000

Type of function:

Justification:

15.

Type of function:

Justification:

16.

Type of function:

Justification:

17.

Graph with a parabola with y-intercept at -8 opening upward. x–5–5–5555y–10–10–10–5–5–5000

Type of function:

Justification:

18.

Type of function:

Justification: