Wyoming Math 7.G.6a

Math7th GradeGeometry

The Standard

Solve real-world and mathematical problems involving: Area and surface area of objects composed of triangles and quadrilaterals

2023 Wyoming Mathematics Content and Performance Standards · Solve real-life and mathematical problems involving angle measure, area, surface area, and volume.

Teacher's field guide

What This Standard Means

What Students Need to Do: Break flat figures and three-dimensional objects into triangles and quadrilaterals. Find the area of each part, then combine the parts or exposed faces using square units.
What Mastery Looks Like: A student labels the base and perpendicular height of each triangle. They find total area or surface area without counting a shared face twice.
Common Misconceptions: Students may forget to divide a triangle's base times height by two, or use a slanted side as the height. They may count an inside face when finding surface area or label the answer in cubic units.
How to Assess It: Exit ticket: A triangular prism is 6 cm long and has right triangle ends with sides of 3 cm, 4 cm, and 5 cm. Sketch its faces and find its surface area.

Lesson moves

Ways to Teach It

Give students paper nets of triangular prisms to fold, then have them label and add the areas of every outside face.
Draw a rectangle split by a diagonal and ask, 'Why do the two triangles have equal areas?'
Put four composite shapes on cards; partners calculate each area, then check their work against labeled breakdowns on the back.
Hand out a garden plan made from a rectangle and a triangle; students calculate the square meters of sod needed.

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