7.MATH.9.C

Determine the area of composite figures containing combinations of rectangles, squares, parallelograms, trapezoids, triangles, semicircles, and quarter circles.

Grade 7 · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012

Standard Unwrapping

AI-generated as a starting point — sign in to edit.
Vocabulary
areacomposite figuresrectanglessquaresparallelogramstrapezoidstrianglessemicirclesquarter circlescombinations
Skills
  • determine (area of composite figures) #dok2
  • identify (different component shapes within a composite figure) #dok1
  • decompose (composite figures into basic shapes) #dok2
  • calculate (area of rectangles, squares, parallelograms, trapezoids, triangles, semicircles, and quarter circles) #dok1
  • solve (problems involving the area of composite figures) #dok2
Learning Targets
  • I can identify rectangles, squares, parallelograms, trapezoids, triangles, semicircles, and quarter circles in a composite figure. #dok1
  • I can calculate the area of a basic shape like a rectangle, square, parallelogram, trapezoid, triangle, semicircle, or quarter circle. #dok1
  • I can decompose a composite figure into basic shapes to find its total area. #dok2
  • I can use area formulas to solve for the area of each component shape in a composite figure. #dok2
  • I can solve a real-world problem involving the area of a composite figure made from multiple shapes. #dok2
  • I can justify my method for decomposing and finding the area of a composite figure. #dok3
Big Ideas
  • The area of a composite figure can be found by breaking it into smaller, familiar shapes and adding or subtracting their areas.
  • Recognizing and correctly decomposing composite figures is essential for solving real-world and mathematical problems involving area.
Essential Questions
  • What strategies can we use to break down a composite figure into known shapes?
  • How does identifying each component shape help in finding the area of a composite figure?
  • Why is it important to use appropriate formulas when finding the area of composite figures?
  • In what real-world situations might you need to determine the area of a composite figure?
  • How can you check that your answer for the area of a composite figure is reasonable?