This section focuses on understanding transformations as a type of function. Students first recall work from earlier units as they connect rigid transformations in the coordinate plane using the Pythagorean Theorem to identify lengths of segments. Students are then introduced to function notation for transformations as they identify as a translation, , as a dilation with scale factor , and...

In this section, students connect triangles and quadrilaterals in the coordinate plane to their work with equations of lines in the plane. They begin by finding the length of segments in the plane, using the Pythagorean Theorem, and then build a generalized equation to find the distance between any two points in the coordinate plane using equations like or ....

This section focuses on lines and their relationships to each other. Students begin by developing an equation for point-slope form of an equation: . They compare this form to other forms they have previously used, such as , , and .

This new form is especially helpful for describing a line under a translation, and students build from this representation...