Lesson #5
Introduction to Solving Quadratic Equations - 60 minutes
Materials Needed: Chart paper, markers, pencil, capture
sheet, post-it notes
Objective: In groups, students will develop methods to
recall the quadratic formula, as well as determine which method is appropriate
for given scenarios and utilize both the quadratic formula and zero-product
property to solve equations.
Warm-Up (15 minutes):
Introduction to quadratics using Desmos using y=x^2-5x-11 and y=3.
Students will develop an understanding that when they are asked to solve, it is actually where that graph crosses the x-axis (y=0).
Begin to discuss the zero product property - any number times zero equals to zero.
Instruction (30 minutes):
Using y=x^2+9x-22, introduce student to standard/general form of a quadratic. Extending from the warm-up, use Desmos to determine where this equation crosses the x-axis (y=0).
Then, setting this equation equal to zero, guide students through quadratic formula & zero-product property to solve algebraically.
Splitting off into groups of 4, students will develop explanation and examples for the use of each method.
Closure (15 minutes):
Students will do a gallery walk in which they will independently walk around and look at other posters and ideas. They should write down useful ideas and observations they see on other posters, as well as use post it notes to ask questions or make comments on the poster.
Homework will be on the back of the capture sheet. Students will utilize what they learned and discussed to pick a method to use on two practice problems.