# Lesson 10

Quadratic Zeros

These materials, when encountered before Algebra 1, Unit 7, Lesson 10 support success in that lesson.

### Lesson Narrative

In this lesson, students make connections between zeros of a function and solutions to associated equations. In particular, they recognize that the zeros they find from graphing technology do not always provide exact solutions. Next, students match expressions in the form \((ax+b)(cx+d)\) to their associated functions in standard form. In the associated Algebra 1 lesson, students examine quadratic expressions of the form \(ax^2 + bx + c\) for which \(a \neq 0\) and the factored form of the expressions. The work in this lesson supports students by giving them some additional background in the relationships between the 2 forms. Students must construct viable arguments and critique the reasoning of others (MP3) when they describe why they matched a factored expression to one in standard form. They also attend to precision (MP6) when they describe why their choice of option does not belong using mathematically accurate language.

### Learning Goals

Teacher Facing

- Recognize equations in expanded form and standard form are equivalent

### Student Facing

- Let’s explore zeros on a graph

### CCSS Standards

Building Towards