This activity has been developed so that students can obtain a deeper understanding of quadratic equations and graphing and makes use of visuals and stories to help different types of learners. This activity uses the formula y=a(x+h)^2+k and includes worksheets for a, h, and k. These can be distributed in different ways, to each individual student, in groups, or in groups as a jigsaw activity. Upon completing these worksheets and having a discussion students should have a strong understanding how the graph of an equations stretches, shrinks, and shifts when the above variables are manipulated.
The second part of the activity is designed to intrigue your students by captivating them with Spider-man. The goal is for the students to move Spider-man through the city by helping him jump and swing on the curves of quadratic equations. Students will have to stretch and shift a set equation to help Spider-man leap over gaps between buildings. An example is below.