Scale Factor and Area Problems

Scale Factor and Area Problems

Assessment

Interactive Video

Mathematics, Science, Other

6th - 8th Grade

Practice Problem

Hard

Created by

Thomas White

FREE Resource

The video tutorial explores the concept of scale factors and their impact on area. It begins with a discovery about increasing area using blocks and triangles, revealing a pattern where the area increases by the square of the scale factor. The tutorial then demonstrates calculations for different scale factors, including fractional ones, showing how the area changes. The lesson concludes with a recap and contact information for further assistance.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What did the child discover about increasing the area using blocks?

The area doubles with each additional block.

The area increases by the square of the scale factor.

The area remains the same regardless of the scale factor.

You need twice as many blocks as the scale factor.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What pattern is observed when increasing the area by a scale factor?

The area remains constant.

The area increases by the square of the scale factor.

The area increases linearly with the scale factor.

The area decreases as the scale factor increases.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

If the original area is 36 units squared, what is the new area with a scale factor of 2?

72 units squared

64 units squared

144 units squared

108 units squared

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many blocks are needed to increase the area by a scale factor of 3?

6 blocks

12 blocks

9 blocks

15 blocks

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the area when the scale factor is 5 and the original area is 36 units squared?

180 units squared

900 units squared

720 units squared

625 units squared

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How does the area change when the scale factor is less than one?

The area increases.

The area decreases.

The area remains the same.

The area doubles.

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the area when the scale factor is 1/2 and the original area is 36 units squared?

9 units squared

18 units squared

12 units squared

6 units squared

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