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- 8.EE.C.8aUnderstand 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.8bSolve 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.
- 8.EE.C.8cSolve 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.

Solving Linear Systems of Equations with Elimination (Day 1 of 3)

Algebra I

» Unit:

Systems of Linear Equations

Big Idea:Students will identify zero pair coefficients to solve systems of equations by adding.

Systems Assessment 1: Scavenger Hunt

8th Grade Math

» Unit:

Systems of Linear Equations

Big Idea:Students move about in a scavenger hunt, solving systems using different algebraic methods.

Stacking Cups: Systems of Equations Real World Application

Algebra I

» Unit:

Systems of Linear Equations

Big Idea:Students use data to create equations describing a concrete scenario. Students analyze the equations as a system to solve a problem.

Systems Assessment 2: Mastery Test

8th Grade Math

» Unit:

Systems of Linear Equations

Big Idea:Assess what students have learned about systems, and find where they may still need help conceptually.

Elimination 1 - add or subtract only

8th Grade Math

» Unit:

SYSTEMS OF LINEAR EQUATIONS

Big Idea:Why does elimination work? Use sensitive nieces, peppermint bark, and gingerbread men to illustrate this mathematical concept.

Baseball Helmets Day 1 of 2

8th Grade Math

» Unit:

Solving Simultaneous Linear Equations

Big Idea:Connect solving systems of equations to real life baseball helmets and reading tables to find the equations for solving by substitution.

Elimination 4 - multiply one equation only

8th Grade Math

» Unit:

SYSTEMS OF LINEAR EQUATIONS

Big Idea:More practice! Get kids fluent in solving systems using elimination... and push them to begin thinking about which method works best in different situations.

Systems and Parallel Lines

8th Grade Math

» Unit:

Systems of Linear Equations

Big Idea:Systems having 0, 1, or infinitely many solutions correspond to lines not intersecting, intersecting once, or being coincident.

Choose the best method to solve systems of equations

8th Grade Math

» Unit:

SYSTEMS OF LINEAR EQUATIONS

Big Idea:Choose wisely, my friend. Get kids to get meta about which method to use when solving systems of linear equations.

Mixed Review of Systems of Equations

8th Grade Math

» Unit:

SYSTEMS OF LINEAR EQUATIONS

Big Idea:Consolidate and review! I love this lesson because it has so many different ways of asking about systems of linear equations.

Real-life Systems 1

8th Grade Math

» Unit:

SYSTEMS OF LINEAR EQUATIONS

Big Idea:How can we use systems of linear equations in real-life systems? Get kids to understand the "break-even" point and apply algebra to the real world.

Real-life Systems 3 - Easy Price

8th Grade Math

» Unit:

SYSTEMS OF LINEAR EQUATIONS

Big Idea:Introduce students to the idea of using the concept of systems to solve situations with two unknowns. Confidence builder!

Real-life Systems 5 - Price-Sum Plus One Other

8th Grade Math

» Unit:

SYSTEMS OF LINEAR EQUATIONS

Big Idea:Get deep into algebraic thinking by solving problems that aren't so straightforward. A tricky one pushes kids to think algebraically.

Graphing Linear Systems of Equations (Day 1 of 2)

Algebra I

» Unit:

Systems of Linear Equations

Big Idea:Students will discover that intersecting lines on a coordinate plane share a common solution, forming a system of equation.

Solving Linear Systems of Equations with Elimination (Day 3 of 3)

Algebra I

» Unit:

Systems of Linear Equations

Big Idea:Students will use multiplication to create zero pair coefficients. Students will use graphing calculators to verify the solution to a system of equations.

8.EE.C.8a

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.8b

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.

8.EE.C.8c

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.