Students will learn how to use the sign of the discriminant to determine the number and types of solutions to quadratic equations. They'll also practice finding the discriminant and solving quadratic equations by plugging the discriminant into the quadratic formula. Before attempting this section, students must know how to use the quadratic formula, and what the discriminant is.
Conclude by giving your students these challenges:
- 2016 AMC 8, Problem 13
- 2013 AMC 8, Problem 21
- 2009 AMC 8, Problem 13
- Mail Math by Pierce School: Problem / Solution
Mentally determine what fraction is shaded.
Answer: \(1/2\)
TODO: Do students know the word "fraction" at this stage, or is "portion" a better word to use? Draw or photograph the figure cut up and rearranged.
Take a square of paper and cut it in half. Then take one of the triangles and cut it in half.
Using all three pieces, make the following triangle and parallelogram:
