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Illustrative Mathematics - Geometry - Unit 5 - Lesson 4

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Algebra I, Algebra II, Geometry, Math

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Illustrative Mathematics - Geometry - Unit 5 - Lesson 4
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6 questions

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1.

OPEN ENDED QUESTION

3 mins • 1 pt

The area of a circle of radius 1 is \pi units squared. Use scaling to explain why the area of a circle of radius r is \pi r^{2} units squared.

Evaluate responses using AI:

OFF

Tags

F.IF.7.c

A.SSE.1.a

G.SRT.1.b

F.IF.7.e

G.GMD.1

F.IF.7.a

8.EE.2

F.IF.7.b

F.IF.7.d

2.

OPEN ENDED QUESTION

3 mins • 1 pt

Media Image

Each image shows a quadrilateral in a plane. The quadrilateral has been dilated using a center above the plane and a scale factor between 0 and 1. Estimate the scale factor that was used for each dilation.

Evaluate responses using AI:

OFF

Tags

F.IF.7.c

A.SSE.1.a

G.SRT.1.b

F.IF.7.e

G.GMD.1

F.IF.7.a

8.EE.2

F.IF.7.b

F.IF.7.d

3.

MULTIPLE SELECT QUESTION

45 sec • 1 pt

Select all figures for which at least one cross section is a circle.

triangular pyramid
square pyramid
rectangular prism
cube
cone

Tags

F.IF.7.c

A.SSE.1.a

G.SRT.1.b

F.IF.7.e

G.GMD.1

F.IF.7.a

8.EE.2

F.IF.7.b

F.IF.7.d

4.

OPEN ENDED QUESTION

3 mins • 1 pt

Media Image

If the two-dimensional figures are rotated around the vertical axes of rotation shown, what solids are formed?

Evaluate responses using AI:

OFF

Tags

F.IF.7.c

A.SSE.1.a

G.SRT.1.b

F.IF.7.e

G.GMD.1

F.IF.7.a

8.EE.2

F.IF.7.b

F.IF.7.d

5.

OPEN ENDED QUESTION

3 mins • 1 pt

Tyler and Jada wish to find the value of x, the length of side BC in this triangle. Tyler decides to set up the equation tan(56)=\frac{8}{x}. Jada says she prefers an equation that has x in the numerator. What is an equation she could use instead?

Evaluate responses using AI:

OFF

Tags

F.IF.7.c

A.SSE.1.a

G.SRT.1.b

F.IF.7.e

G.GMD.1

F.IF.7.a

8.EE.2

F.IF.7.b

F.IF.7.d

6.

OPEN ENDED QUESTION

3 mins • 1 pt

Triangles ACD and BCD are isosceles. Angle DBC has a measure of 110 degrees and angle BDA has a measure of 22 degrees. Find the measure of angle BAC.

Evaluate responses using AI:

OFF

Tags

F.IF.7.c

A.SSE.1.a

G.SRT.1.b

F.IF.7.e

G.GMD.1

F.IF.7.a

8.EE.2

F.IF.7.b

F.IF.7.d

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