GEOM.MATH.11.B
Determine the area of composite two-dimensional figures comprised of a combination of triangles, parallelograms, trapezoids, kites, regular polygons, or sectors of circles to solve problems using appropriate units of measure.
Geometry · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
areacomposite two-dimensional figurestrianglesparallelogramstrapezoidskitesregular polygonssectors of circlesproblemsappropriate units of measure
Skills
- determine (area of composite two-dimensional figures) #dok2
- decompose (composite figures into basic shapes) #dok2
- apply (area formulas for triangles, parallelograms, trapezoids, kites, regular polygons, and sectors of circles) #dok1
- solve (problems involving the area of composite figures) #dok2
- select (appropriate units of measure for area) #dok1
Learning Targets
- I can identify the basic shapes that form a composite two-dimensional figure. #dok1
- I can use formulas to find the area of triangles, parallelograms, trapezoids, kites, regular polygons, and sectors of circles. #dok1
- I can express area answers with the correct units of measure. #dok1
- I can decompose a composite two-dimensional figure into familiar shapes. #dok2
- I can determine the area of a composite figure by adding or subtracting the areas of its parts. #dok2
- I can solve problems involving finding the area of complex composite figures. #dok2
- I can justify my method for decomposing and calculating area for a composite figure. #dok3
- I can create my own composite figure and calculate its area accurately. #dok3
Big Ideas
- Complex shapes can be broken down into simpler, familiar shapes to determine area accurately.
- Understanding and applying appropriate area formulas allows for solving real-world problems involving composite figures.
Essential Questions
- How can a complex two-dimensional figure be decomposed into basic shapes?
- What strategies help find the area of composite figures accurately?
- How do you determine which area formulas to use for different components of a composite figure?
- In what situations might you need to subtract areas when finding the area of a composite figure?
- Why is selecting appropriate units important when expressing area?