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IM 6.1.3 Lesson: Reasoning to Find Area

Is the area of Figure A greater than, less than, or equal to the area of the shaded region in Figure B? Explain your reasoning.

Each grid square is 1 square unit. Find the area, in square units, of each shaded region without counting every square. Explain your reasoning. If you wish, you can use the diagrams in the app below to help illustrate and support your explanations.

Rearrange the triangles from Figure C so they fit inside Figure D.

Find the area of the shaded region(s) of each figure. Explain your reasoning. If you wish, you can use the diagrams in the app below to help illustrate and support your explanations.