Learning Intention: Students will understand how to transform two dimensional shapes.

Materials: - Sheets of graph paper - Colored pencils or markers

Lesson:

1. Introduce the lesson by explaining that transformations are a way of altering the size, position, and orientation of a shape (e.g. rotating, reflection). Ask students what kind of figures have a two-dimensional shape (e.g. squares, triangles, rectangles).

2. Review basic coordinates with students. Explain that if a coordinate is (x, y) then the x coordinate is the horizontal number and y coordinate is the vertical number.

3. On the board or using projection, review the four main types of two-dimensional transformations – translation, rotation, reflection, dilation – and how they can be used to manipulate two-dimensional shapes. Demonstrate how each transformation affects the shape on the board.

4. Give each student a sheet of graph paper and a colored pencil or marker. Ask them to draw a two-dimensional shape on the graph paper and label its vertices using coordinates.

5. Then, ask each student to identify the coordinates of the vertices of the shape, and explain how they would go about transforming the shape using one of the four transformations. Encourage students to explain their strategies verbally, and draw diagrams on their graph paper to illustrate their technique.

6. Finally, ask students to demonstrate their transformations on their graph paper and allow students to review each other’s work, offering constructive feedback where necessary.