Florida B.E.S.T. MA.7.GR.1.5

Math7th GradeSolve problems involving two-dimensional figures, including circles.

The Standard

Solve mathematical and real-world problems involving dimensions and areas of geometric figures, including scale drawings and scale factors.

Florida B.E.S.T. Standards for Mathematics

Teacher's field guide

What Students Need to Do: Students find missing lengths and areas in scaled figures. They use a given scale to move between drawing measurements and actual measurements, then explain how area changes.
What Mastery Looks Like: Students correctly find scaled lengths and areas for polygons, circles, and composite figures. They show that multiplying lengths by a factor of k multiplies area by k².
Common Misconceptions: Students often multiply area by the linear scale factor instead of its square. They may reverse the scale ratio, mix units, or forget square units.
How to Assess It: Exit ticket: A map uses 1 cm = 8 m. A rectangular field measures 3.5 cm by 2 cm. Find its actual dimensions and area.

Lesson moves

Give pairs grid paper, rulers, and floor-plan cutouts to make a 1:2 enlargement and compare the two areas.
Ask students to explain why doubling every length makes the area four times larger, using a drawing and an equation.
Run a card-match race with sets showing scale ratios, drawing dimensions, actual dimensions, and corresponding areas.
Have students measure the classroom, create a scaled floor plan, and calculate the actual floor area.

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