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Calculating Areas and Percentages

Calculating Areas and Percentages

Assessment

Interactive Video

•

Mathematics

•

8th - 10th Grade

•

Practice Problem

•

Medium

•
CCSS
3.MD.C.7B, 1.G.A.2, 6.G.A.1

+3

Standards-aligned

Created by

Emma Peterson

Used 1+ times

FREE Resource

Standards-aligned

CCSS.3.MD.C.7B
,
CCSS.1.G.A.2
,
CCSS.6.G.A.1
CCSS.8.G.B.8
,
CCSS.8.G.B.7
,
CCSS.4.MD.A.3
,
The video tutorial explains how to solve a practice SAT math question involving calculating the percentage of an unshaded area in a diagram. The problem is approached using two methods: a geometric method involving the calculation of triangle areas and a trigonometric method using properties of right triangles. Both methods lead to the conclusion that 25% of the diagram is unshaded. The tutorial provides a step-by-step explanation of each method, ensuring a clear understanding of the problem-solving process.

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10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the size of the smaller square in the problem?

2 inches by 2 inches

1 inch by 1 inch

3 inches by 3 inches

4 inches by 4 inches

Tags

CCSS.3.MD.C.7B

CCSS.4.MD.A.3

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How do you calculate the total area of the larger square?

Multiply 1 by 1

Multiply 2 by 2

Multiply 3 by 3

Multiply 4 by 4

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the base of the unshaded triangle in the first method?

2 units

3 units

1 unit

1/2 unit

Tags

CCSS.1.G.A.2

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How many unshaded triangles are there in the diagram?

2

3

4

5

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the percentage of the diagram that is unshaded using the first method?

10%

25%

15%

20%

Tags

CCSS.6.G.A.1

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the second method, what type of triangle is used to find the unshaded area?

30-60-90 triangle

45-45-90 triangle

Equilateral triangle

Scalene triangle

Tags

CCSS.8.G.B.8

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the length of each leg of the right triangle in the second method?

1/2 unit

2 units

3 units

1 unit

Tags

CCSS.8.G.B.7

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