8.MATH.3.C
Use an algebraic representation to explain the effect of a given positive rational scale factor applied to two-dimensional figures on a coordinate plane with the origin as the center of dilation.
Grade 8 · Texas Essential Knowledge and Skills (TEKS) · TEKS 2012
Standard Unwrapping
AI-generated as a starting point — sign in to edit.Vocabulary
algebraic representationpositive rational scale factortwo-dimensional figurescoordinate planeorigincenter of dilationdilation
Skills
- use (an algebraic representation to model dilation) #dok2
- explain (effects of scale factor on two-dimensional figures) #dok3
- apply (a positive rational scale factor to figures on a coordinate plane) #dok2
- analyze (the transformation of figures centered at the origin) #dok3
Learning Targets
- I can use algebraic representations to show how two-dimensional figures are dilated from the origin on a coordinate plane. #dok2
- I can apply a positive rational scale factor to a figure and determine the new coordinates after dilation. #dok2
- I can analyze how changing the scale factor impacts the position and size of the figure. #dok3
- I can explain the relationship between the original figure and its dilation using mathematical language. #dok3
Big Ideas
- Dilations on the coordinate plane change the size but not the shape of two-dimensional figures when centered at the origin.
- Algebraic representations can demonstrate how a positive rational scale factor transforms all points of a figure from the origin.
Essential Questions
- How does a positive rational scale factor affect the size and position of a two-dimensional figure on a coordinate plane?
- What steps are involved in using an algebraic expression to represent a dilation from the origin?
- How do you determine the coordinates of a dilated figure given the scale factor?
- In what ways does the origin as the center of dilation simplify algebraic representations?
- How could changes in the scale factor alter the outcome of a dilation?