6.MATH.8.B
Model area formulas for parallelograms, trapezoids, and triangles by decomposing and rearranging parts of these shapes.
Grade 6 · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
area formulasparallelogramstrapezoidstrianglesdecomposingrearrangingpartsshapes
Skills
- model (area formulas for parallelograms, trapezoids, and triangles) #dok2
- decompose (parallelograms, trapezoids, and triangles into parts) #dok2
- rearrange (parts of shapes to demonstrate area relationships) #dok2
- connect (decomposition and rearrangement to derivation of area formulas) #dok3
Learning Targets
- I can decompose parallelograms, trapezoids, and triangles into smaller parts. #dok2
- I can reorganize the parts of these shapes to help find their areas. #dok2
- I can use models to demonstrate how area formulas for parallelograms, trapezoids, and triangles are derived. #dok2
- I can connect the process of decomposing and rearranging shapes to the development of area formulas. #dok3
Big Ideas
- Area formulas for parallelograms, trapezoids, and triangles can be understood by decomposing and rearranging the shapes.
- Decomposing and rearranging geometric shapes helps develop deeper understanding of how and why area formulas work.
Essential Questions
- How can decomposing and rearranging shapes help us discover or understand area formulas?
- Why do the area formulas for parallelograms, trapezoids, and triangles work the way they do?
- What happens to the area of a shape when it is cut into parts and rearranged?
- How is modeling helpful in making sense of geometry concepts like area?
- Can the same strategies for finding area be applied to other shapes?