Given a mathematical or real-world context, solve a system consisting of two-variable linear or non-linear equations algebraically or graphically.
Clarifications
Clarification 1: Within the Algebra 2 course, non-linear equations are limited to quadratic equations.
Subject Area: Mathematics (B.E.S.T.)
Grade: 912
Strand: Algebraic Reasoning
Date Adopted or Revised: 08/20
Status: State Board Approved
Related Courses
Related Access Points
| Access Point Number |
Access Point Title |
| MA.912.AR.9.AP.3 | Solve a system consisting of two-variable linear or quadratic equations algebraically or graphically. |
Related Resources
Lesson Plans
| Name |
Description |
| Changes are Coming to System of Equations | Use as a follow up lesson to solving systems of equations graphically. Students will explore graphs of systems to see how manipulating the equations affects the solutions (if at all). |
| Space Equations | In this lesson, students model the orbit of a satellite and the trajectory of a missile with a system of equations. They solve the equations both graphically and algebraically. |
Perspectives Video: Expert
Perspectives Video: Professional/Enthusiast
| Name |
Description |
| Solving Systems of Equations, Oceans & Climate | Angela Dial discusses how she solves systems of equations to determine how the composition of ocean floor sediment has changed over 65 million years to help reveal more information regarding climate change. |
Problem-Solving Tasks
| Name |
Description |
| Quinoa Pasta 1 | This task asks students to find the amount of two ingredients in a pasta blend. The task provides all the information necessary to solve the problem by setting up two linear equations in two unknowns. This progression of tasks helps distinguish between 8th grade and high school expectations related to systems of linear equations. |
| Cell Phone Plans | This task presents a real-world problem requiring the students to write linear equations to model different cell phone plans. Looking at the graphs of the lines in the context of the cell phone plans allows the students to connect the meaning of the intersection points of two lines with the simultaneous solution of two linear equations. The students are required to find the solution algebraically to complete the task. |
| Introduction to Linear Functions | This task lets students explore the differences between linear and non-linear functions. By contrasting the two, it reinforces properties of linear functions. |
Student Resources
Problem-Solving Tasks
| Name |
Description |
| Quinoa Pasta 1: | This task asks students to find the amount of two ingredients in a pasta blend. The task provides all the information necessary to solve the problem by setting up two linear equations in two unknowns. This progression of tasks helps distinguish between 8th grade and high school expectations related to systems of linear equations. |
| Cell Phone Plans: | This task presents a real-world problem requiring the students to write linear equations to model different cell phone plans. Looking at the graphs of the lines in the context of the cell phone plans allows the students to connect the meaning of the intersection points of two lines with the simultaneous solution of two linear equations. The students are required to find the solution algebraically to complete the task. |
| Introduction to Linear Functions: | This task lets students explore the differences between linear and non-linear functions. By contrasting the two, it reinforces properties of linear functions. |
Parent Resources
Problem-Solving Tasks
| Name |
Description |
| Quinoa Pasta 1: | This task asks students to find the amount of two ingredients in a pasta blend. The task provides all the information necessary to solve the problem by setting up two linear equations in two unknowns. This progression of tasks helps distinguish between 8th grade and high school expectations related to systems of linear equations. |
| Cell Phone Plans: | This task presents a real-world problem requiring the students to write linear equations to model different cell phone plans. Looking at the graphs of the lines in the context of the cell phone plans allows the students to connect the meaning of the intersection points of two lines with the simultaneous solution of two linear equations. The students are required to find the solution algebraically to complete the task. |
| Introduction to Linear Functions: | This task lets students explore the differences between linear and non-linear functions. By contrasting the two, it reinforces properties of linear functions. |
