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- 8.G.A.1Verify experimentally the properties of rotations, reflections, and translations:
- 8.G.A.2Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them.
- 8.G.A.3Describe the effect of dilations, translations, rotations and reflections on two-dimensional figures using coordinates.
- 8.G.A.4Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations; given two similar two-dimensional figures, describe a sequence that exhibits the similarity between them.
- 8.G.A.5Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles. For example, arrange three copies of the same triangle so that the sum of the three angles appears to form a line, and give an argument in terms of transversals why this is so.

Introduction to congruence and similarity through transformations

8th Grade Math

Â» Unit:

CONGRUENCE AND SIMILARITY THROUGH TRANSFORMATIONS

Big Idea:Which one of these is not like the other? Investigate how Sesame Street is connected to congruence and similarity.

Translations 1

8th Grade Math

Â» Unit:

CONGRUENCE AND SIMILARITY THROUGH TRANSFORMATIONS

Big Idea:Set the foundation for students' knowledge of and fluency with translations.

Rotations 1

8th Grade Math

Â» Unit:

CONGRUENCE AND SIMILARITY THROUGH TRANSFORMATIONS

Big Idea:Set the foundation for students' understanding of rotations about the origin - link it to tether ball!

Dilations 1

8th Grade Math

Â» Unit:

CONGRUENCE AND SIMILARITY THROUGH TRANSFORMATIONS

Big Idea:Biggie or Smalls? Set the foundation for students' understanding of dilations, and use Geogebra to illustrate.

Mixed Review - Transformations

8th Grade Math

Â» Unit:

CONGRUENCE AND SIMILARITY THROUGH TRANSFORMATIONS

Big Idea:Deepen students' understanding by putting together the last 8 days of learning into one day. Incredibly important to consolidate their understanding before moving on!

Mixed Review - Transformations

8th Grade Math

Â» Unit:

CONGRUENCE AND SIMILARITY THROUGH TRANSFORMATIONS

Big Idea:Consolidate students' knowledge of and fluency with transformations by reviewing the first 16 days of the unit. Incredibly important to ensure student retention!

Reflections 1

8th Grade Math

Â» Unit:

CONGRUENCE AND SIMILARITY THROUGH TRANSFORMATIONS

Big Idea:Use geomirrors to set the foundation for students' understanding of reflections, only across the axes.

Rotations 2

8th Grade Math

Â» Unit:

CONGRUENCE AND SIMILARITY THROUGH TRANSFORMATIONS

Big Idea:Get kids fluent in rotations by providing them with a lot of independent practice with rotations!

Reflections 2

8th Grade Math

Â» Unit:

CONGRUENCE AND SIMILARITY THROUGH TRANSFORMATIONS

Big Idea:Can you reflect objects without the geomirrors? Push kids to apply the idea of equal distance from the line of reflection.

Dilations 2

8th Grade Math

Â» Unit:

CONGRUENCE AND SIMILARITY THROUGH TRANSFORMATIONS

Big Idea:Biggie or Smalls? Continue setting the foundation for students' understanding of dilations.

Translations 2

8th Grade Math

Â» Unit:

CONGRUENCE AND SIMILARITY THROUGH TRANSFORMATIONS

Big Idea:Continue building students' facility with translations with a second day, tackling translations in different ways.

Series of Transformations that Lead to Congruence

8th Grade Math

Â» Unit:

CONGRUENCE AND SIMILARITY THROUGH TRANSFORMATIONS

Big Idea:Unlock students' creativity by pushing them to use different series of multiple transformations to create two congruent figures.

Similarity 1

8th Grade Math

Â» Unit:

CONGRUENCE AND SIMILARITY THROUGH TRANSFORMATIONS

Big Idea:What are the important things that happen when a figure is dilated?

Reflections 3

8th Grade Math

Â» Unit:

CONGRUENCE AND SIMILARITY THROUGH TRANSFORMATIONS

Big Idea:Push students' understanding of reflections by reflecting across diagonal lines. Tricky!!!! (and some cool patterns emerge).

Similarity 2

8th Grade Math

Â» Unit:

CONGRUENCE AND SIMILARITY THROUGH TRANSFORMATIONS

Big Idea:BIG QUESTION OF THE DAY: How can I tell if two figures are similar?

8.G.A.1a

Lines are taken to lines, and line segments to line segments of the same length.

8.G.A.1b

Angles are taken to angles of the same measure.

8.G.A.1c

Parallel lines are taken to parallel lines