8.MATH.10.D
Model the effect on linear and area measurements of dilated two-dimensional shapes.
Grade 8 · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
effectlinear measurementsarea measurementsdilated two-dimensional shapestwo-dimensional shapes
Skills
- model (effect on linear and area measurements of dilated two-dimensional shapes) #dok2
- identify (linear and area measurements in original and dilated shapes) #dok1
- compare (measurements before and after dilation) #dok2
- analyze (relationships between scale factor and measurements) #dok3
Learning Targets
- I can identify linear and area measurements of a two-dimensional shape before and after dilation. #dok1
- I can model the effect of dilation on the linear measurements of two-dimensional shapes. #dok2
- I can model the effect of dilation on the area measurements of two-dimensional shapes. #dok2
- I can compare the linear and area measurements of the original and dilated shapes. #dok2
- I can analyze how changing the scale factor affects measurements of two-dimensional shapes. #dok3
Big Ideas
- Dilation affects linear and area measurements of two-dimensional shapes in predictable ways.
- Understanding the relationship between the scale factor and the measurements of dilated shapes helps in modeling and solving geometric problems.
Essential Questions
- How does dilating a shape change its linear measurements?
- How does dilating a shape affect its area measurements?
- What is the relationship between the scale factor of a dilation and the measurements of the resulting shape?
- How can we model and compare the effects of dilation on different two-dimensional figures?
- Why is it important to understand the mathematical effects of dilation in geometry?