Solving Systems of Equations

  Classroom Resource Information  

Title:

Solving Systems of Equations

URL:

https://aptv.pbslearningmedia.org/resource/our20-math-841314/solving-systems-of-equations/

Content Source:

PBS
Type: Audio/Video

Overview:

In this video lesson, students continue to explore systems where the equations are both of the form y=mx+b. They connect algebraic and graphical representations of systems, first by matching graphs to systems, then by drawing their own graphs from given systems. Additionally, students see how to see the number of solutions from both the graphical and algebraic representations. Then they examine other types of systems with different structures and use the structure of a system of equations to reason about its lack of solutions. When students look at the structure of a system before starting to solve it in order to develop a good approach to solving, they engage in MP7.

Grade 8, Episode 5: Unit 4, Lessons 13 & 14 | Illustrative Math

Content Standard(s):
Mathematics
MA2019 (2019)
Grade: 8
12. Solve systems of two linear equations in two variables by graphing and substitution.

a. Explain that the solution(s) of systems of two linear equations in two variables corresponds to points of intersection on their graphs because points of intersection satisfy both equations simultaneously.

b. Interpret and justify the results of systems of two linear equations in two variables (one solution, no solution, or infinitely many solutions) when applied to real-world and mathematical problems.

Alabama Alternate Achievement Standards
AAS Standard:
M.AAS.8.12 Solve two-step linear equations where coefficients are less than 10 and answers are integers.


Mathematics
MA2019 (2019)
Grade: 8
Accelerated
9. Solve systems of two linear equations in two variables by graphing and substitution.

a. Explain that the solution(s) of systems of two linear equations in two variables corresponds to points of intersection on their graphs because points of intersection satisfy both equations simultaneously.

b. Interpret and justify the results of systems of two linear equations in two variables (one solution, no solution, or infinitely many solutions) when applied to real-world and mathematical problems. [Grade 8, 12]
Tags: equation, graphs, solution, system, system of equations
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AccessibilityVideo resources: includes closed captioning or subtitles
Comments

Additional activity and practice pages are provided for this video lesson.

  This resource provided by:  
Author: Kristy Lacks