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Grade 6 Math · Unit 8
Area and polygons
Use this low-stakes check after studying the unit. It has 8 fresh questions and one written reasoning prompt. No timer, grade, or gate blocks your next lesson.
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Explain your reasoning · Composite area
An L-shaped garden can be split into a 9-foot by 4-foot rectangle and a non-overlapping 3-foot by 2-foot rectangle. Find its area and explain how your decomposition avoids counting any part twice.
Open a sample approach and scoring guide
One possible approach: The area is 9 × 4 + 3 × 2 = 36 + 6 = 42 square feet. The rectangles do not overlap, so adding their areas counts each part once.
2-point guide: 1 point for a clear decomposition and correct area calculations; 1 point for 42 square feet and a statement about non-overlap.
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