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Chapter 7--Transformations and Tessellations

Essential Question:  How do basic transformations impact position and size of shapes in the plane?

Unit Rationale:  Geometric  transformations are the physical connection to transformational work in functions to be explore in Advance Algebra.

As a result of this unit, students will be able to:

Ø  Recognize and apply simple isometries in the plan and on a coordinate system using the correct algebraic notation.


·        Symmetry

·        Transformation

·        Compositions of transformations

·        Reflection

·        Rotation

·        Superimpose

Standards: Standards will be assessed on both the state and classroom levels, however, standards with an asterisk (*) in the code will count for graduation requirements. 

Focus Standards:

G.5.A  Sketch results of transformations and compositions of transformations for a given two-dimensional figure on the coordinate plane, and describe the rule(s) for performing translations or reflections about the coordinate axes or the line y=x.

G.5.B  Determine and apply properties of transformations.

G.5.C  Given two congruent or similar figures in a coordinate plane, describe a composition of translations, reflections, rotations, and dilations that superimposes one figure on the other.

G.5.D  Describe the symmetries of two-dimensional figures and describe transformations, including reflections across a line and rotations about a point.

Supporting Standards:

*G.1.C  Use deductive reasoning to prove that a valid geometric statement is true.

Reasoning, Problem Solving, and Communication Standards:

G.7.D  Generalize a solution strategy for a single problem to a class of related problems and apply a strategy for a class of related problems to solve specific problems.

G.7.H  Use inductive reasoning to make conjectures , and use deductive reasoning to prove or disprove conjectures.