7adv.MATH.12.D
Model the effect on linear and area measurements of dilated two-dimensional shapes.
Grade 7 (Advanced) · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
linear measurementsarea measurementsdilated two-dimensional shapestwo-dimensional shapesdilationsmodels
Skills
- model (the effect of dilations on linear measurements) #dok2
- model (the effect of dilations on area measurements) #dok2
- analyze (how dilations change measurements of two-dimensional shapes) #dok2
- predict (changes to measurements after a shape is dilated) #dok2
Learning Targets
- I can use models to show how a dilation changes the length of sides in a two-dimensional shape. #dok2
- I can use models to show how a dilation changes the area of a two-dimensional shape. #dok2
- I can predict the effect of a dilation on a shape’s linear measurements. #dok2
- I can predict the effect of a dilation on a shape’s area measurements. #dok2
Big Ideas
- Dilations change the size of shapes but do not alter the shape's proportions or orientation.
- Understanding how dilations affect linear and area measurements is essential for analyzing similarity and scale in geometry.
Essential Questions
- How do dilations affect the lengths of a shape’s sides on a coordinate plane?
- What happens to the area of a two-dimensional shape when it is dilated by a certain scale factor?
- In what ways do linear and area measurements change differently when a figure is dilated?
- Why is it important to model and understand the effects of dilations on measurements?
- How can we use models to predict the outcome of dilating a shape?