In this lesson, students examine a quadratic equation in a particular situation and are reminded of how to solve a system of linear equations. In the associated Algebra 1 lesson, students solve systems of equations involving a quadratic equation making use of the techniques they learned in this unit. Students are supported by practicing interpreting a quadratic equation in a situation so they can make sense of the solution to the system of equations. They are also supported by recalling methods for solving a system of linear equations and, in the discussion, considering which methods might also work in a system involving a quadratic equation.
Students must reason abstractly and quantitatively (MP2) when they connect a situation to its representation as an equation or graph.
Lesson overview
- 24.1 Warm-up: Growing Plants (10 minutes)
- 24.2 Activity: Diego’s Plant (15 minutes)
- 24.3 Activity: Making the Grades (15 minutes)
Learning goals:
- Interpret parts of a quadratic equation in terms of the situation.
- Solve a system of linear equations.
Learning goals (student facing):
- Let’s work with situations and quadratic equations.
Standards:
- This lesson builds towards the standards: CCSS.HSA-REI.B.4.bMS.A-REI.4bCCSS.HSA-REI.C.7MS.A-REI.7CCSS.HSF-IF.CMS.F-IFMO.A1.REI.A.2cMO.A1.REI.B.4MO.A1.IF.C
IM Algebra 1, Geometry, Algebra 2 is copyright 2019 Illustrative Mathematics and licensed under the Creative Commons Attribution 4.0 International License (CC BY 4.0).
The Illustrative Mathematics name and logo are not subject to the Creative Commons license and may not be used without the prior and express written consent of Illustrative Mathematics.