# Lesson 13

Constants in Quadratic Equations

These materials, when encountered before Algebra 1, Unit 7, Lesson 13 support success in that lesson.

### Lesson Narrative

In this lesson, students solve quadratic equations of the form \((x-a)^2=b\) and practice a step in completing the square by adding a constant value to complete the square. In the associated Algebra 1 lesson, students solve equations by completing the square. The fluency students gain by practicing these methods will support them through the future Algebra 1 lessons. Students must look for and express regularity in repeated reasoning (MP8) when they find appropriate values to add to make a perfect square.

### Learning Goals

Teacher Facing

- Determine a constant term that could be added to a quadratic expression in standard form to make it a perfect square.
- Solve equations of the form $(x+a)^2 = b$

### Student Facing

- Let’s explore the constants in quadratic equations.

### CCSS Standards

Building Towards