Methods:
Resource Preparations:
- Arrange the learning environment:
- reserve computer lab if necessary
- set up and test technologies (internet connections, website, java downloadable) - If the students are not familiar with SeeingMath or Graph Sketcher have 2-3 minute session to demonstrate the software. Both software are very intuitive and have readily accessible online help tabs.
- If necessary, prepare electronic or paper handouts containing a quick guide with step-by-step instructions on some common input routines and command buttons.
- The activity is recommended to be completed in pairs or small groups. It can be accomplished individually but may require more time.
Priming & Introduction:
(15-20 minutes)
Have students complete engagement and exploration activities (a & b) that allow them to get motivated and acquainted with the subject matter. (Annot. 06, All)
a) Watch a 2-minute video on Quadratic Functions & Formula. Click on the image to play.
b) Have students break into groups of 3 and have them build a table of values for a parent function y = x2. Tell students to include negative and positive values of x.
Allow each group to assign different roles (in rotation) of who would investigate the function using online manipulatives (SeeingMath, Graph Sketcher, Quadratic Function Explorer) to generate graphs or by manual sketching using graph paper and pencil.
Encourage students to share and discuss their generated visual output among their group mates. (Annot. 07, All) Ask them to compare and contrast to previous knowledge of linear function's graphs and table of values. Pose guide questions that help students to focus and monitor their understanding: What is the graphical representation of a quadratic function? How are linear patterns different from quadratic patterns?
