In this task, students decide which team wins the egg-launching contest by analyzing data from a table, graph and a verbal representation with a quadratic equation. In doing so, students analyze data, determine the equation of the curve of best fit in order to make predictions, and solve practical problems using models of quadratic functions.

Students will explore the relationship between solutions, factors, and graphs of quadratic functions. They will participate in various activities to develop their understanding and practice.

This is a hands on lesson to get students up and moving while also learning about calculating quadratic regressions.  It incorporates techology such as DESMOS and/or CODAP to get students comfortable with these programs and loooking at data in different ways.

Students work collaboratively or independently to sort and match sets of quadratic equations to the factored form and to the graph/roots.

Students will use the discriminant to determine if quadratic equations have 2 imaginary, 2 real, or 1 real solution. They will then practice solving quadratic equations.

Students tell the story of a jellyfish moving through the water using transformations of quadratic functions in standard form.Students sketch graphs of the transformations.Students put all four transformations on one graph to check that their story and transformations work as desired.  Students may change any transformations prior to submission.