Quadratic and Exponential Functions Homework Help Resources

Download the attached PDF or Word document and look over the information on the first page. Download and distribute the attached TI-Nspire document (.tns file) and student worksheet for use during the activity. A TI-Nspire document containing expected student results is also available for download.

In this activity, students graph quadratic functions and study how the variables 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 vertex form, while the second part focuses on standard form. An optional extension allows students to see how the two forms are related.

In this activity, students will interactively investigate ordered pairs. They will graphically explore the coordinates of a point on a Cartesian plane, identifying characteristics of a point corresponding to the coordinate. Students will plot ordered pairs of a function, list these in a table of values, and graph them in a scatter plot. Students use self-check questions to check their understanding with immediate feedback. Extension questions are also provided to apply what is learned.

In the first part of this activity, students graph a quadratic function that models the shape of a bridge trestle. They then solve the related quadratic equation by completing the square, recording each step as they complete it. This list of steps is then generalized to deduce the quadratic formula. In the second part of the activity, students store the formula in their handhelds, compare its results with those of the nSolve command, and use it to solve several other quadratic equations.

In this activity, students will look for both number patterns and visual shapes that go along with quadratic relationships. Two applications are introduced after some basic patterns in the first two problems.