Introduce students to real world systems of equations with this activity. Students will create one graph from a table of values and one graph from an equation to create a system of equations. They will interpret the meaning of the solution to the system of equations.
I have used this handout as part of an assessment to see what inferences students can draw from graphs and systems. The activity does not require students to have prior knowledge of systems. With an understanding of interpreting graphs, students can discover what happens when 2 lines are graphed together, or as a system. Based on the information given about tree grown, students should interpret the meaning of the system of equations.
The activity is one page in PDF format. You will also receive an answer key.
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Solving Systems with Multiple Representations
Common Core Standards:
Analyze and solve pairs of simultaneous linear equations.
Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously.
Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.