Florida B.E.S.T. MA.6.GR.2.2
The Standard
Solve mathematical and real-world problems involving the area of quadrilaterals and composite figures by decomposing them into triangles or rectangles.
Florida B.E.S.T. Standards for Mathematics
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students split quadrilaterals and irregular shapes into rectangles and triangles. They find each smaller area, then combine the results using square units.
What Mastery Looks Like
- Students draw useful dividing lines, identify the needed dimensions, and apply the correct area formulas. They add the parts accurately and label answers with square units.
Common Misconceptions
- Students may add side lengths instead of finding area. They may overlap or leave gaps when splitting a figure, or forget to divide by two for triangle areas.
How to Assess It
- Give students an L-shaped figure with labeled dimensions. Ask them to show one way to split it, calculate each area, and find the total area.
Lesson moves
Ways to Teach It
Give pairs grid paper shapes to cut into rectangles and triangles, then find and compare the total areas.
Display two different decompositions of one figure and ask, "Why should both methods give the same total area?"
Play Decomposition Match by pairing composite figure cards with matching sets of rectangle and triangle area expressions.
Have students calculate the floor area of an L-shaped classroom plan to estimate how many square tiles are needed.
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Printable MA.6.GR.2.2 Worksheet
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Related Standards
- MA.8.GR.2.4
Solve mathematical and real-world problems involving proportional relationships between similar triangles.
- MA.912.GR.4.4
Solve mathematical and real-world problems involving the area of two-dimensional figures.
- MA.7.GR.1.2
Solve mathematical or real-world problems involving the area of polygons or composite figures by decomposing them into triangles or quadrilaterals.
- MA.3.GR.2.4
Solve mathematical and real-world problems involving the perimeter and area of composite figures composed of non-overlapping rectangles with whole-number side l...
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