Unpacked Content
Knowledge
Students know:
- How to perform rigid transformations and dilations graphically and algebraically (applying coordinate rules).
- What makes figures similar and congruent.
Skills
Students are able to:
- Use mathematical language to explain how transformations can be used to prove that two figures are similar or congruent.
- Demonstrate/perform a series of transformations to prove or disprove that two figures are similar or congruent.
Understanding
Students understand that:
- There is a proportional relationship between corresponding characteristics of the figures, such as lengths of line segments, and angle measures as they develop a definition for similarity between figures.
- The coordinate plane can be used as tool because it gives a visual image of the relationship between the two figures.
Vocabulary
- Translation
- Reflection
- Rotation
- Dilation
- Scale factor
