Grade 6 | Unit 1 | Lesson 8: Area of Triangles | Practice Problems
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Mathematics
6th Grade
CCSS covered
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9 questions
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1.
OPEN ENDED QUESTION
3 mins • 1 pt
To find the area of this right triangle, Diego and Jada used different strategies. Diego drew a line through the midpoints of the two longer sides, which decomposes the triangle into a trapezoid and a smaller triangle. He then rearranged the two shapes into a parallelogram. Explain how Diego might use his parallelogram to find the area of the triangle.
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Tags
CCSS.6.G.A.1
2.
OPEN ENDED QUESTION
3 mins • 1 pt
To find the area of this right triangle, Diego and Jada used different strategies. Jada made a copy of the triangle, rotated it, and lined it up against one side of the original triangle so that the two triangles make a parallelogram. Explain how Jada might use her parallelogram to find the area of the triangle.
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Tags
CCSS.6.G.A.1
3.
OPEN ENDED QUESTION
3 mins • 1 pt
Find the area of the triangle. Explain or show your reasoning.
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CCSS.6.G.A.1
4.
MULTIPLE SELECT QUESTION
30 sec • 1 pt
Find the area of the triangle. Explain or show your reasoning.
Decompose the triangle with a cut line half-way between the base and the opposite vertex. Rearrange the smaller triangle to form a parallelogram. This parallelogram has a horizontal base of length 4 units and a height of 1.5 units, so its area is 6 square units. That means the area of the original triangle is 6 square units.
5.
OPEN ENDED QUESTION
3 mins • 1 pt
Which of the three triangles has the greatest area? Show your reasoning. If you get stuck, try using what you know about the area of parallelograms.
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Tags
CCSS.3.MD.D.8
6.
OPEN ENDED QUESTION
3 mins • 1 pt
Draw an identical copy of each triangle such that the two copies together form a parallelogram.
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Tags
CCSS.8.G.A.2
CCSS.HSG.CO.B.6
7.
FILL IN THE BLANK QUESTION
30 sec • 1 pt
A parallelogram has a base of 3.5 units and a corresponding height of 2 units. What is its area?
(a)
Tags
Unit 1, Lesson 6
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