Students will understand that rigid transformations that map a figure onto a congruent figure in the coordinate plane can be described according to mathematical limitations. Building on Unit 1, Students will deepen their understanding of congruence by transforming figures on a coordinate plane.
Key Concepts:
 The structure of the coordinate plane allows us to describe geometric transformations using coordinates.
 A twodimensional figure is congruent to another if we can describe a single reflection, rotation, or translation on the first that produces the second.
 A twodimensional figure is congruent to another if we can describe a sequence of reflections, rotations, and translations on the first that produces the second.
Prior Knowledge Needed:
 Identify points in the coordinate plane using their ordered pairs (x, y).
 Count units in the coordinate plane.
 Identify and apply basic degrees of rotation.
 Identify and perform rigid transformations in 2dimensional space; (8.G.A.1)
 Key vocabulary (translate, rotate, reflect, clockwise, counterclockwise).
Units on the Horizon:
 Understanding similarity (Grade 8, Unit 3)
 Functions (Grade 8, Unit 6)
 Geometric transformations (High School Geometry, Unit 1)
Lessons

Lesson objective: Understand and describe the results of transformations in the coordinate plane. Students bring prior knowledge of transformations from 8.G.1. This prior knowledge is extended to descriptions of transformations in the coordinate plane a...

Lesson objective: Fluently describe transformations in the coordinate plane. This lesson helps to build fluency with description of transformations in the coordinate plane. Charts are used here because they clearly separate different denotations for wri...

Lesson objective: Describe single transformations in the coordinate plane. This lesson provides an opportunity for students to apply their knowledge and understanding of transformations and the coordinate plane to a mathematical situation. Students are ...

Lesson objective: Understand that rigid transformations can be described using the coordinates, and that the transformed figures are congruent to the original. Students bring prior knowledge of transformation types from 8.G.1. This prior knowledge is ex...

Lesson objective: Practice describing transformations in the coordinate plane. This lesson helps to build fluency with describing transformations in the coordinate plane. Polygons in the coordinate plane are used here because they clearly demonstrate th...

Lesson objective: Apply single transformations that produce congruent figures in the coordinate plane. This lesson provides an opportunity for students to apply their knowledge and understanding of single transformations in the coordinate plane to a rea...

Lesson objective: Describe sequences of transformations iin the coordinate plane. Students bring prior knowledge of transformations from 8.G.1. and single transformations in 8.G.2. This prior knowledge is extended to sequences of transformations in the ...

Lesson objective: Fluently describe and perform sequences of transformations in the coordinate plane. This lesson helps to build fluency with sequences of transformations in the coordinate plane. A preimage A and a second image A" are used here because ...

Lesson objective: Practice transforming figures in the coordinate plane. This lesson helps to build procedural skill with completing a sequence of transformations in the coordinate plane. Trapezoids in the coordinate plane are used here because the diff...

Lesson objective: Apply understanding of sequences of transformations in the coordinate plane. This lesson provides an opportunity for students to apply their knowledge and understanding of transformations in the coordinate plane to a reallife situatio...