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A.REI.6 - Solve systems of linear equations exactly and simultaneously using multiple methods (algebraic, graphs, tables)

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By the end of this lesson, students will be able to:
- Identify systems of linear equations
- Solve systems using substitution method
- Solve systems using elimination method
- Graph systems to find solutions
- Determine if systems have one solution, no solution, or infinite solutions

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How can we determine where two lines intersect, and what does this point of intersection represent in real-world situations?

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Students solve a simple system by graphing:
y = 2x + 1
y = -x + 4
Discuss what the intersection point means.

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Teacher demonstrates solving systems using substitution and elimination methods. Students take notes using a collaborative Padlet wall to share key points.

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Learn to solve a system of equations using substitution

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In pairs, students solve:
1) y = 3x - 2, 2x + y = 8
2) 2x + 3y = 12, 4x - 3y = 6
Teacher circulates to provide support.

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Students work individually on Desmos Activity: Systems of Equations

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Create word problems that can be solved using systems of equations and share them on a collaborative Padlet wall for peers to solve

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Interactive step-by-step guide for solving systems

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Systems of equations | Algebra basics | Math | Khan Academy

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During guided practice, assess student understanding through observation and questioning

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Students solve two systems of equations using their preferred method. Must show work and explain their choice of method.

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1) What method (substitution/elimination) would you use to solve: 3x + y = 7, x - y = 1? Why?<br>2) How do you know if a system has no solution?

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Which method of solving systems do you prefer and why? What are the advantages of each method?

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Students create a mind map showing the different methods for solving systems and when to use each one

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Solve 4 systems of equations using both substitution and elimination methods. Circle the method you think is more efficient for each.

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Create and solve a word problem involving systems of equations about a real-life situation (e.g., comparing cell phone plans or finding the dimensions of a rectangle)

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Complete IXL Math practice on systems of equations

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IXL | Solve a system of equations using any method | Algebra 1 math

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Improve your math knowledge with free questions in "Solve a system of equations using any method" and thousands of other math skills.

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How can the concept of common inputs and outputs relate to a real life scenario?