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Illustrative Mathematics - Geometry - Unit 5 - Lesson 6

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Last updated about 1 year ago
14 Questions
1
1.
It takes 2 ounces of paint to completely cover all 6 sides of a rectangular prism box which holds 15 cups of sugar. Double the dimensions of the box. Approximately how much paint would the new box need? How much sugar would it hold?
A.SSE.1.a
F.IF.7.a
F.IF.7.b
6.G.2
N.Q.1
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1
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1
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1
5.
1
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1
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11.
A figure has an area of 4 square units. The equation y=\sqrt{\frac{x}{4}} represents the scale factor of y by which the solid must be dilated to obtain an image with area x square units. Select all points which are on the graph representing this equation.
A.SSE.1.a
F.IF.7.a
F.IF.7.b
6.G.2
N.Q.1
1
12.
Tyler is designing a banner that will welcome people to a festival. The design for the banner has an area of 1.5 square feet. The actual banner will be a dilation of the design by a factor of 5. What will the area of the actual banner be?
A.SSE.1.a
F.IF.7.a
F.IF.7.b
6.G.2
N.Q.1
1
13.
The horizontal cross sections of this figure are dilations of the bottom rectangle using a point above the rectangle as a center and scale factors from \frac{1}{2} to 1. Sketch an example of a cross section that is created from using a scale factor of \frac{3}{4}.
Label the dimensions of the cross section that you sketch.
A.SSE.1.a
F.IF.7.a
F.IF.7.b
6.G.2
N.Q.1
1
14.
Two distinct lines, l and m, are each perpendicular to the same line n.  Explain why l and m are parallel lines.
A.SSE.1.a
F.IF.7.a
F.IF.7.b
6.G.2
N.Q.1
This lesson is from Illustrative Mathematics. Geometry, Unit 5, Lesson 6. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/2/5/6/index.html ; accessed 29/July/2021.

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