7adv.MATH.5.E
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 7 (Advanced) · 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 dilation
Skills
- use (algebraic representations) #dok2
- explain (effect of scale factors on two-dimensional figures) #dok3
- apply (positive rational scale factor to 2D figures) #dok2
- analyze (changes in figures under dilation centered at the origin) #dok2
Learning Targets
- I can use an algebraic equation to represent how a figure is dilated on a coordinate plane. #dok2
- I can apply a positive rational scale factor to points on a 2D shape using the origin as the center. #dok2
- I can analyze and describe how the size and position of a 2D figure changes when dilated from the origin. #dok2
- I can explain the effect that multiplying the coordinates of a figure by a scale factor has on its image. #dok3
Big Ideas
- Dilations on the coordinate plane multiply all distances from the origin by the scale factor.
- Algebraic representations make it possible to predict and explain how a scale factor transforms a figure.
Essential Questions
- What does it mean to dilate a figure on a coordinate plane using the origin as the center?
- How does multiplying the coordinates of a figure by a scale factor change its size and position?
- Why is it important to use algebraic representations when describing dilations?
- How can you determine whether a dilation is an enlargement or a reduction?
- What real-world situations might require dilating objects or shapes on a coordinate plane?