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Lesson Plan: Factoring Monic Quadratics Mathematics
This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to factor quadratic expressions in the form 𝑥² + 𝑏𝑥 + 𝑐 where the coefficient of the leading term is 1.
Objectives
Students will be able to
- factor a monic quadratic in one variable with positive coefficients by finding the number whose sum is the coefficient of and whose product is the constant term,
- factor a monic quadratic in one variable with one or more negative coefficients by finding the number whose sum is the coefficient of and whose product is the constant term,
- verify that the factoring of a monic quadratic is correct by multiplying the binomial factors,
- find an unknown coefficient using the factored form of a monic quadratic,
- factor a monic quadratic in a real-world scenario in order to solve a problem.
Prerequisites
Students should already be familiar with
- the distributive property,
- multiplying binomials.
Exclusions
Students will not cover
- nonmonic quadratics,
- nonpolynomial functions,
- factoring by grouping,
- solving quadratic equations by factoring.
