Lesson 14
Rewriting Quadratic Expressions
These materials, when encountered before Algebra 1, Unit 7, Lesson 14 support success in that lesson.
Lesson Narrative
In this lesson, students practice rewriting factored quadratic expressions into standard form with nonzero leading coefficients. Then, students use some information to solve for \(m^2\) given information about \(k, k^2,\) and \(2km\). In the associated Algebra 1 lesson, students complete the square for quadratic expressions with a nonzero leading coefficient. Fluency in rewriting quadratic expressions in factored and standard forms supports students in the work of completing the square.
Part of the process for completing the square for quadratics with nonzero leading coefficient involves solving for \(k\) and \(m\) using information like that given in the second activity. By isolating that work here, students are supported to carry through the entire process in the associated Algebra 1 lesson.
Looking for and making use of structure (MP7) is essential when expanding a product of binomials into the standard form of a quadratic expression.
Learning Goals
Teacher Facing
 Compute the value of $m^2$ given equations of the form $k^2 = p$ and $2km = q$.
 Practice methods for rewriting quadratic expressions of the form $(px+q)(rx+s)$ into standard form.
Student Facing
 Let’s practice rewriting quadratic expressions
CCSS Standards
Building Towards
Print Formatted Materials
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