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Algebra 1 Solving Systems of Linear Equations {Bundle} in a PowerPoint Presentation

This is a bundle include the five PowerPoint lessons below and one Quiz Show game, Jeopardy Style, for review.

Solving Systems of Linear Equations by Graphing 8.EE.8, 8.EE.8a, 8.EE.8b, 8.EE.8c, A.CED.3, A.REI.6

Solving Systems of Linear Equations by Substitution 8.EE.8b, 8.EE.8c, A.CED.3, A.REI.6

Solving Systems of Linear Equations by Elimination 8.EE.8b, 8.EE.8c, A.CED.3, A.REI.5, A.REI.6

Solving Special Systems of Linear Equations 8.EE.8, 8.EE.8a, 8.EE.8b, 8.EE.8c, A.REI.6

Systems of Linear Inequalities A.CED.3, A.REI.12

Quiz Show Game Solving Systems of Linear Equations 8.EE.8, 8.EE.8a, 8.EE.8b, 8.EE.8c, A.CED.3, A.REI.5, A.REI.6, A.REI.12

Students often get lost in multi-step math problems. This PowerPoint lesson is unique because it uses a flow-through technique, guided animation, that helps to eliminate confusion and guides the student through the problem. The lesson highlights each step of the problem as the teacher is discussing it, and then animates it to the next step within the lesson. Every step of every problem is shown, even the minor or seemingly insignificant steps. A helpful color-coding technique engages the students and guides them through the problem (Green is for the answer, red for wrong or canceled numbers, & blue, purple & sometimes orange for focusing the next step or separating things.) Twice as many examples are provided, compared to a standard textbook. All lessons have a real-world example to aid the students in visualizing a practical application of the concept.

This lesson applies to the Common Core Standard:

Grade 8 » Expressions & Equations 8.EE.8, 8.EE.8a, 8.EE.8b, 8.EE.8c

Analyze and solve linear equations and pairs of simultaneous linear equations.

8. Analyze and solve pairs of simultaneous linear equations.

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.

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.

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.

High School: Algebra » Creating Equations A.CED.3

Create equations that describe numbers or relationships.

3. Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or nonviable options in a modeling context. For example, represent inequalities describing nutritional and cost constraints on combinations of different foods.

Algebra » Reasoning with Equations & Inequalities A.REI.5, A.REI.6, A.REI.12

Solve systems of equations.

5. Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions.

6. Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.

Represent and solve equations and inequalities graphically.

12. Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.

Please note that these PowerPoints are** not ** editable.

Please note that these PowerPoints are** NOT EDITABLE**. They ** WILL NOT ** work with Google Slides. You will need the PowerPoint software.

If you need an alternative version because your country uses different measurements, units, slight wording adjustment for language differences, or a slide reordering just ask.

** Are you looking for the Algebra 1 Curriculum Bundle?** Click here!

**This resource is for one teacher only. ** You may not upload this resource to the internet in any form. Additional teachers must purchase their own license. If you are a coach, principal or district interested in purchasing several licenses, please contact me for a district-wide quote at prestonpowerpoints@gmail.com. This product may not be uploaded to the internet in any form, including classroom/personal websites or network drives.

This is a bundle include the five PowerPoint lessons below and one Quiz Show game, Jeopardy Style, for review.

Solving Systems of Linear Equations by Graphing 8.EE.8, 8.EE.8a, 8.EE.8b, 8.EE.8c, A.CED.3, A.REI.6

Solving Systems of Linear Equations by Substitution 8.EE.8b, 8.EE.8c, A.CED.3, A.REI.6

Solving Systems of Linear Equations by Elimination 8.EE.8b, 8.EE.8c, A.CED.3, A.REI.5, A.REI.6

Solving Special Systems of Linear Equations 8.EE.8, 8.EE.8a, 8.EE.8b, 8.EE.8c, A.REI.6

Systems of Linear Inequalities A.CED.3, A.REI.12

Quiz Show Game Solving Systems of Linear Equations 8.EE.8, 8.EE.8a, 8.EE.8b, 8.EE.8c, A.CED.3, A.REI.5, A.REI.6, A.REI.12

Students often get lost in multi-step math problems. This PowerPoint lesson is unique because it uses a flow-through technique, guided animation, that helps to eliminate confusion and guides the student through the problem. The lesson highlights each step of the problem as the teacher is discussing it, and then animates it to the next step within the lesson. Every step of every problem is shown, even the minor or seemingly insignificant steps. A helpful color-coding technique engages the students and guides them through the problem (Green is for the answer, red for wrong or canceled numbers, & blue, purple & sometimes orange for focusing the next step or separating things.) Twice as many examples are provided, compared to a standard textbook. All lessons have a real-world example to aid the students in visualizing a practical application of the concept.

This lesson applies to the Common Core Standard:

Grade 8 » Expressions & Equations 8.EE.8, 8.EE.8a, 8.EE.8b, 8.EE.8c

Analyze and solve linear equations and pairs of simultaneous linear equations.

8. Analyze and solve pairs of simultaneous linear equations.

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.

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.

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.

High School: Algebra » Creating Equations A.CED.3

Create equations that describe numbers or relationships.

3. Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or nonviable options in a modeling context. For example, represent inequalities describing nutritional and cost constraints on combinations of different foods.

Algebra » Reasoning with Equations & Inequalities A.REI.5, A.REI.6, A.REI.12

Solve systems of equations.

5. Prove that, given a system of two equations in two variables, replacing one equation by the sum of that equation and a multiple of the other produces a system with the same solutions.

6. Solve systems of linear equations exactly and approximately (e.g., with graphs), focusing on pairs of linear equations in two variables.

Represent and solve equations and inequalities graphically.

12. Graph the solutions to a linear inequality in two variables as a half-plane (excluding the boundary in the case of a strict inequality), and graph the solution set to a system of linear inequalities in two variables as the intersection of the corresponding half-planes.

Please note that these PowerPoints are

Please note that these PowerPoints are

If you need an alternative version because your country uses different measurements, units, slight wording adjustment for language differences, or a slide reordering just ask.

Total Pages

*425

Answer Key

N/A

Teaching Duration

55 minutes

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