In this lesson, students solve basic quadratic equations using inspection and concrete examples. In the associated Algebra 1 lesson, students solve similar equations with less aid. Providing students the concrete examples of area of squares and a list of possible solutions, students can begin to see patterns in the solutions so that they may more easily solve basic quadratic equations by inspection later. Students look for and make use of structure (MP7) when they encounter expressions such as \(x+2\) and treat it as one quantity.
Lesson overview
- 3.1 Warm-up: Math Talk: Squaring Values (5 minutes)
- 3.2 Activity: Squares with Squares (20 minutes)
- 3.3 Activity: Matching Solutions and Equations (15 minutes)
Learning goals:
- Recall that a negative number squared is positive.
- Use geometric diagrams to reason about quadratic equations and number of solutions.
Learning goals (student facing):
- Let’s explore squares.
Standards:
- This lesson builds towards the standard:CCSS.HSA-REI.B.4.bMS.A-REI.4bMO.A1.REI.A.2c
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