8.MATH.3.A
Generalize that the ratio of corresponding sides of similar shapes are proportional, including a shape and its dilation.
Grade 8 · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
ratiocorresponding sidessimilar shapesproportionalshapedilation
Skills
- generalize (relationships between ratios of corresponding sides of similar shapes) #dok3
- identify (corresponding sides in similar shapes) #dok1
- compare (ratios in original shape and its dilation) #dok2
- describe (proportionality between corresponding sides under dilation) #dok2
Learning Targets
- I can identify corresponding sides in similar figures. #dok1
- I can compare the ratios of corresponding sides in similar shapes and their dilations. #dok2
- I can describe how dilating a shape results in proportional corresponding sides. #dok2
- I can generalize the proportional relationship between corresponding sides of a shape and its dilation. #dok3
Big Ideas
- The lengths of corresponding sides of similar shapes are always proportional, including when one shape is a dilation of the other.
- Dilation creates a new shape where each side length is multiplied by the same scale factor, maintaining the proportion between corresponding sides.
Essential Questions
- How do you know if two shapes are similar after a dilation?
- What is the relationship between the lengths of corresponding sides in a shape and its dilation?
- How does changing the scale factor affect the size and proportions of a dilated shape?
- Why are the ratios of corresponding sides in similar shapes always proportional?
- In what real-world situations might understanding proportionality between similar shapes be useful?