Students graph a quadratic function that models the shape of a bridge trestle and then solve the related quadratic equation by completing the square.

Students graph quadratic functions and study how the constants in the equations compare to the coordinates of the vertices and the axes of symmetry in the graphs. The first part of the activity focuses on the vertex form, while the second part focuses on the standard form. Both activities include opportunities for students to pair up and play a graphing game to test how well they really understand the equations of quadratic functions.

Students graph a quadratic function and investigate its symmetry by choosing pairs of points with the same y-value.

Students make connections between the visual ways to find zeros of a parabola and algebraic ways with an emphasis on the quadratic formula.

Students look for both number patterns and visual shapes that go along with quadratic relationships.

Students practice finding rectangular areas with algebraic expressions for the lengths of the sides.

Given a set of shapes whose combined areas represent the left-hand expression, students manipulate them to create rectangles whose areas are equal to the right-hand expression.

Students discover how to factor a quadratic function using the Box Method.

Students manipulate parabolas so that the curve matches a set of data points.

Students use an interactive page to calculate the speed of the car, given a stopping distance, and then approximate stopping distance, given the rate of the car.

Students will understand patterns, relations, and functions.