7adv.MATH.11.B | Texas Essential Knowledge and Skills (TEKS)

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areacomposite figuresrectanglessquaresparallelogramstrapezoidstrianglessemicirclesquarter circles

determine (area of rectangles, squares, parallelograms, trapezoids, triangles, semicircles, and quarter circles) #dok1
identify (component shapes within composite figures) #dok2
decompose (composite figures into basic shapes) #dok2
calculate (area of composite figures) #dok2
solve (problems involving area of composite figures) #dok3

I can determine the area of basic shapes such as rectangles, squares, parallelograms, trapezoids, triangles, semicircles, and quarter circles. #dok1
I can identify and differentiate between various component shapes in a composite figure. #dok2
I can decompose a composite figure into simpler shapes to assist in calculating total area. #dok2
I can calculate the total area of composite figures by adding or subtracting areas of component shapes. #dok2
I can solve real-world and mathematical problems involving the area of composite figures containing combinations of shapes. #dok3

Composite figures can be broken down into simpler shapes to efficiently determine their overall area.
Solving area problems with composite figures enhances spatial reasoning and reinforces understanding of geometric formulas.

How can breaking a composite figure into basic shapes help determine its area?
What strategies can we use to identify the shapes that make up a composite figure?
How do the areas of individual shapes contribute to the total area of a composite figure?
How can you apply area calculations of composite figures to real-world scenarios?
What are common mistakes to watch for when working with composite shapes?