Learning Goal
Solve real-world and mathematical problems leading to two linear equations in two variables
Teacher tools for this standard
Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework
Teacher tools for this standard
Lesson Plan · Guided Notes · Exit Ticket · Re-teach · Homework
- Lesson Plan →Objectives, pacing and practice, built from this lesson's brief.
- Guided Notes →One page your students fill in and keep.
- Exit Ticket →Three items at the end of class. No student accounts.
- Re-teach →After an exit ticket: who missed what, and what to do tomorrow.
- Homework →Assign practice; it grades itself.
**8.EE.C.8**: Analyze and solve pairs of simultaneous linear equations.
**8.EE.C.8.c**: Solve real-world and mathematical problems leading to two linear equations in two variables. For example, given coordinates for two pairs of points, determine whether the line through the first pair of points intersects the line through the second pair.
**8.EE.C.8.a**: 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.
**8.EE.C.8.b**: Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection. For example, 3x + 2y = 5 and 3x + 2y = 6 have no solution because 3x + 2y cannot simultaneously be 5 and 6.
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8.EE.C.8: Analyze and solve pairs of simultaneous linear equations.
8.EE.C.8.c: Solve real-world and mathematical problems leading to two linear equations in two variables. For example, given coordinates for two pairs of points, determine whether the line through the first pair of points intersects the line through the second pair.
8.EE.C.8.a: 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.
8.EE.C.8.b: Solve systems of two linear equations in two variables algebraically, and estimate solutions by graphing the equations. Solve simple cases by inspection. For example, 3x + 2y = 5 and 3x + 2y = 6 have no solution because 3x + 2y cannot simultaneously be 5 and 6.
What you'll learn
- Translate a real-world scenario into a system of two linear equations in two variables by identifying the unknowns and the constraints
- Solve systems of linear equations arising from real-world problems using substitution or elimination
- Interpret the solution of a system in the context of the original problem, explaining what the values of x and y represent
- Determine whether the line through one pair of points intersects the line through a second pair of points by finding and comparing the equations of both lines
- Verify that a solution satisfies both equations and makes sense in the context of the problem (e.g., non-negative quantities, whole-number counts)
Slides
Step through the lesson, or watch it as a narrated video
Real world systems
✓ Start herePractice
Try it on your own • 2 practice sets
Animated Videos
Short animated explanations of the key idea • 3 animated videos