MA19.7A.44

Mathematics (2019) Grade(s): 7 - Grade 7 Accelerated

MA19.7A.44
Given a pair of two-dimensional figures, determine if a series of dilations and rigid motions maps one figure onto the other, recognizing that if such a sequence exists the figures are similar; describe the transformation sequence that exhibits the similarity between them. [Grade 8, 24]

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

Aligned Learning Resources

Sketchy Dilations

Desmos: Transformation Golf--Rigid Motion

Desmos: Transformation Golf--Non-Rigid Motion

Desmos: Dilation Mini Golf

Comparing Powers of 10

Comparing Quadratic and Exponential Functions

Concentric Circles

Connections to Personal Experiences - Bees? Yikes!

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