Like equations, systems of equations can have special solutions. A system of linear equations that both have the same slope will have no solutions. They are parallel lines and never intersect. Lines that are identical will overlap and will have infinite solutions. Lines that intersect at one point have one solution. Systems of equations can have one solution, no solutions, or infinite solutions.

### Monday, February 12

Common Core Standards and Extended Standards

8.EE.8a: 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.

8.EE.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.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.

Student Objectives

I can solve a pair of linear equations graphically.

Given a graphed system of equations, I can identify the solution and/or the number of solutions (one, none, or infinite) for the system.

Given a multiple choice question, I can solve a pair of linear equations by substitution.

I can analyze real-world scenarios involving systems of equations and answer related questions.

I can solve simple systems of equations word problems.

Bellwork

Students will complete Google form entrance ticket: “Solving Systems of Equations Bellwork.” The link is in the systems of equations folder of our Schoology course.

Lesson (Solving Systems by Graphing Continued)

1. Go over homework: systems of equations maze

2. Blended learning: Quizlet Gravity and Quizlet Live “Systems of Equations”

3. Brief review of key ideas

4. “Solving systems of equations quiz one”-Google form, link in Schoology course

5. Review and guided practice: slope-intercept form and graphing lines given an equation in slope-intercept form

6. Cooperative practice: solving systems partner activity

7. Independent practice: systems of equations “killing zombies” or “color by solution”

Closing

IXL AA.2 Solve a system of equations by graphing

Homework

Finish the graphing systems practice sheet you selected: maze or whack-a-mole. Binders and journals will be collected and graded on Thursday. There will also be a test over systems of equations. On March 22, there will be a vocabulary test. Use the study guide and Flashcard Machine to prepare for the test.

Students may make corrections for each problem that they missed on the advanced equations test. In order to earn half credit for each missed items, each question must be written out completely and answered correctly. Work must be shown to support the answer chosen. Credit will not be given for corrections that do not follow these guidelines.

### Tuesday, February 13

There will be a substitute teacher.

Common Core Standards and Extended Standards

8.EE.8a: 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.

8.EE.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.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.

Student Objectives

I can solve a pair of linear equations graphically.

Given a graphed system of equations, I can identify the solution and/or the number of solutions (one, none, or infinite) for the system.

Given a multiple choice question, I can solve a pair of linear equations by substitution.

I can analyze real-world scenarios involving systems of equations and answer related questions.

Bellwork

Students will complete *Math Minute 67*.

Lesson (Solving Systems by Substitution: “Plug and Check”)

1. Quizlet Gravity: systems of equations

2. Go over homework.

3. Systems of equations I Have, Who Has game

4. Demonstration and guided practice: solving systems-multiple choice “plug & check” method, odds in class

5. Cooperative practice: finish evens with a partner

6. Independent work: organize binders, work on missing assignments, test and quiz corrections, IXL “Just for You” to-do list, IXL module 8 to-do list, IXL diagnostic

Closing

Exit ticket/Google form linked in Schoology: “Systems Plug & Check Method Quick Check”

Homework

On Friday, there will also be a test over systems of equations. The back of the IXL module 8 to-do list is due Friday. IXL skills AA.3 and AA.6 will be bonus items. They will not be required items.

### Wednesday, February 14

Common Core Standards and Extended Standards

8.EE.8a: 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.

8.EE.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.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.

Student Objectives

I can solve a pair of linear equations graphically.

Given a graphed system of equations, I can identify the solution and/or the number of solutions (one, none, or infinite) for the system.

Given a multiple choice question, I can solve a pair of linear equations by substitution.

I can solve basic systems of equations word problems.

Bellwork

Students will complete *Math Minute 68*.

Lesson (Solving Systems, Real-World Problems, & Common Core Problems)

1. Go over class results from “Systems of Equations Quiz 1” in Google forms

2. Systems of equations quiz 2: solving systems by graphing

3. Go over homework.

4. Demonstration & blended learning: IXL, grade 8,

5. Demonstration and guided practice: review, real-world, & common core systems of equations problems, items from systems review packet

6. Cooperative practice in small groups: systems of equations task cards “footloose game” or “math lib”

7. Independent work & blended learning: IXL module 8 to-do list, systems review packet, make-up work, test/quiz corrections

Closing

Exit ticket: “Real-World Systems of Equations Quick Check”

Homework

Finish the front of the systems of equations review packet. On Friday, there will be a test over systems of equations. Finish the items on the back of the IXL module 8 to-do list. IXL skills AA.3 and AA.6 will be bonus items. They will not be required items. On Friday, there will be a test over systems of equations.

### Thursday, February 15

8.EE.8a: 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.

8.EE.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.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.

Student Objectives

I can solve a pair of linear equations graphically.

Given a graphed system of equations, I can identify the solution and/or the number of solutions (one, none, or infinite) for the system.

Given a multiple choice question, I can solve a pair of linear equations by substitution.

I can solve basic systems of equations word problems.

Bellwork

Students will complete “Systems Quick Check” Google form: link in Schoology.

Lesson (Systems of Equations Review)

1. Systems of equations sorting: examples and non-examples (systems, 1 solution, no solutions, infinite solutions)

2. Go over homework.

3. Review: “Systems of Equations Hot Seat 2” game

4. Trashketball review in 2-3 person teams

5. Independent work & blended learning: systems of equations review packet, IXL module 8 to-do list

Closing

Writing prompt in Schoology course: “What I know about systems of equations………..”

Homework

Finish the remaining items on the systems of equations review packet. Finish the items on the back of the IXL module 8 to-do list. IXL skills AA.3 and AA.6 will be bonus items. They will not be required items. Tomorrow, there will be a test over systems of equations.

### Friday, February 16

8.EE.8a: 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.

8.EE.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.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.

Student Objectives

I can solve a pair of linear equations graphically.

Given a graphed system of equations, I can identify the solution and/or the number of solutions (one, none, or infinite) for the system.

Given a multiple choice question, I can solve a pair of linear equations by substitution.

I can solve basic systems of equations word problems.

Bellwork

Students will complete “Systems Quick Check,” Google form linked in Schoology.

Lesson (Systems of Equations Test)

1. Go over homework.

2. Review: systems of equations hot seat review

3. Systems of equations test

4. Independent work: IXL to-do lists: IEP, Just for You, and “Consumer Math” side of module 8

Closing

Geometry vocabulary pretest in Google forms

Homework

Work on the front of the IXL module 9 to-do list that was distributed in class today. Use the link to “Quizlet” in the “Basic Course Information” folder of our Schoology course. Review basic geometry vocabulary with the Quizlet items I shared with you.