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Housekeeping We are starting Unit 5 today! No Live Learning next week 1 st Semester Reminders: Submit any incomplete summative assessments End of Semester – December 18th

Unit 5 introduction systems of equations

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Page 1: Unit 5 introduction   systems of equations

HousekeepingWe are starting Unit 5 today!

No Live Learning next week

1st Semester Reminders: Submit any incomplete summative assessments End of Semester – December 18th

Page 2: Unit 5 introduction   systems of equations

Goal for today….Goal:

Know and understand the scales for unit 5

Identify solution(s) to a system of equations

Graph a linear equation

Agenda:

Unit 5 Standard Find a Solution to a

system of equations Graph a linear

equation

Page 3: Unit 5 introduction   systems of equations
Page 4: Unit 5 introduction   systems of equations

Unit 5 – System of Equations

Page 5: Unit 5 introduction   systems of equations

Mrs. Norman’s Tips for Success:1. Attend all Live Learning Classes

2. Take notes while in class

3. Participate during class

4. Ask questions

5. Complete the formative assessments (Practice!!!)

6. Stay after class if you have questions

Failure is NOT an option!

Page 6: Unit 5 introduction   systems of equations

Scale #1 – Solving a System of Equations Graphically

Level 3:

Level 2:

Page 7: Unit 5 introduction   systems of equations

Scale #1 – Solving a System of Equations Graphically

Level 3: Solve real world and mathematical problems leading to two linear equations in two variables graphically

Page 8: Unit 5 introduction   systems of equations

A system of equations is a set of two or more equations that contain two or more variables.

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Scale #1 – Solving a System of Equations Graphically

Level 2: Graph two linear equations on one coordinate plane

Level 2: Write an equation in slope intercept form

Level 2: Understand that the solution to a system of two linear equations in two variables corresponds to the points of intersection of their graphs

Page 10: Unit 5 introduction   systems of equations

Scale #2 – Solving a System of Equations Algebraically

Level 3:

Level 2:

Page 11: Unit 5 introduction   systems of equations

Scale #2 – Solving a System of Equations Algebraically

Level 3: Solve real world and mathematical problems leading to two linear equations in two variables algebraically

Page 12: Unit 5 introduction   systems of equations

Scale #2 – Solving a System of Equations Algebraically

Level 2: Solve linear equations algebraically

y = x + 3

Page 13: Unit 5 introduction   systems of equations

A solution of a system of equations is a set of values that are solutions of all of the equations. If the system has two variables, the solutions can be written as ordered pairs.

How do you solve a system of equations?

Page 14: Unit 5 introduction   systems of equations

Solutions to System of Equations

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Solutions to System of Equations

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Solutions to System of Equations

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How do you solve a system of equations?

3 Methods:

1.Graphically2.Algebraically – Using Substitution3.Algebraically – Using Elimination

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What does graphing an equation mean?

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A visual representation of the equation!!

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Graphing a Linear Equation

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Graphing a Linear Equation

Page 22: Unit 5 introduction   systems of equations

Graphing a Linear Equation

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Wrap UpToday we introduced unit 5 and identified solutions to system of equations. We also worked on a level 2 skill for solving a system of equations by graphing. You need to be able to graph a couple of lines on the same graph to find a solution to a system of equations graphically.

What should you do now? Practice IXL skills Y.1 and X.9