Topics
5. Modeling in Two & Three Dimensions
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United States of AmericaTennessee
Integrated Math 3

5.02 Modeling with 2D figures

Lesson
Practice
Adaptive
Worksheet

Interactive practice questions

A gutter running along the roof of a house has a cross-section in the shape of a triangle. If the area of the cross-section is $40$40 cm2, and the length of the base of the gutter is $10$10 cm, find the perpendicular height $h$h of the gutter.

Drawing of an obtuse triangle. The base of the triangle sits horizontally at the bottom of the drawing. the obtuse angle is on the left of the bottom side. A dashed line extends the base to the left until it meets with another vertical dashed line at a right angle (indicated by a small square). The top of the vertical dashed line meets the top corner of the main triangle. The vertical dashed line is labeled "h cm". The bottom side of the main triangle is labeled 10cm. Two horizontal arrows next to the bottom label pointing away up to the corners of the main triangle indicate that the label is for only the bottom side and not the dashed line extension.
Easy
1min

Lisa has purchased a rectangular piece of fabric measuring $6$6 m in length and $9$9 m in width.

What is the area of the largest triangular piece she can cut out from it?

Easy
< 1min

A basketball court is $29$29 m long and $15$15 m wide.

Medium
< 1min

The dining room floor shown is to be tiled with slate tiles. The cost of tiling the room is $\$10$$10/m2

Medium
2min
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Outcomes

M3.N.Q.A.1.B

Use appropriate quantities in formulas, converting units as necessary.

M3.N.Q.A.1.C

Define and justify appropriate quantities within a context for the purpose of modeling.

M3.G.MG.A.1

Use geometric shapes, their measures, and their properties to model objects found in a real-world context for the purpose of approximating solutions to problems.*

M3.MP1

Make sense of problems and persevere in solving them.

M3.MP2

Reason abstractly and quantitatively.

M3.MP3

Construct viable arguments and critique the reasoning of others.

M3.MP4

Model with mathematics.

M3.MP5

Use appropriate tools strategically.

M3.MP6

Attend to precision.

M3.MP7

Look for and make use of structure.

M3.MP8

Look for and express regularity in repeated reasoning.

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