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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...
This section focuses on the features of equations and graphs of circles and parabolas.
In previous units, students defined a circle as the set of points equidistant from a given center. They connect this definition to their work with the Pythagorean Theorem in order to generalize an equation of a circle with a radius and a center as .
Next,...
In this section, students focus on proving geometric theorems algebraically. First, students connect the point-slope form of a line to their work with translations of lines. They then build on this work to prove that parallel lines have the same slope. Students then prove that a quadrilateral with opposite sides that lie on two pairs of parallel lines must be...