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# Solving Linear Systems of Equations with Substitution (Day 1 of 3)

Lesson 3 of 9

## Objective: Students will solve linear systems of equations using substitution.

*80 minutes*

#### Do-Now

*10 min*

Students will be solving systems of equations using substitution in today's lesson, so today's Do Now gives students an opportunity to practice solving a linear equation. After 5 minutes, I will ask student volunteers to come to the front of the room to show their answers on the board.

Next, I will ask a student will read the objective, **"SWBAT solve systems of equations using substitution". **I will ask the class to define "substitution", and to give some real world examples of when a substitution would be made.

#### Resources

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#### Opening

*10 min*

Students will complete the "Math Lib" on **Slide Two** of today's presentation. The purpose of this activity is for students to make a connection between equality and idea of one thing representing another. Students will create their own unique list on the back of their Do-Now sheet, using the criteria on the board.

Next, I will tell students to turn and talk with the people sitting around them, sharing their version of the story with their set of words inserted. I will also ask a few volunteers to share their story aloud for the class. Before moving on, I will ask the students to hypothesize why they think I chose to have them complete a Math Lib, when today's objective is to solve a linear system with substitution.

#### Resources

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#### Guided Notes + Practice

*30 min*

After the opening, students will continue to follow along with this presentation, while taking notes using this graphic organizer.

The video below shows how I will present these ideas in front of the class:

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#### Independent Practice

*20 min*

I will ask students to use the rest of class to practice solving systems of equations using substitution. Students will use a Pre-Algebra and an Algebra handout from the Kuta Software website:

Since they were used during our last class, I want my classes to begin feeling more comfortable with a graphing calculator. Today, I will ask students to use a TI-Inspire calculator to check solutions as they move along on the handout. I will ask students to complete two to three problems at a time, then to stop to check their solution in the calculator before moving forward to the next one. If their solution does not match with the calculators, I will ask students to work in a pair with me or another student to help get them back on the right track.

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Hello I really love this lesson but was wondering if there are a few errors.

Noticed Example 2 problem does not match the same problems on the graph problems on the Power Point.

Also should it say 2x + 2(4x) = 10 not Zero on Power Point?

The graphic organizer example 3 should say 4y - x = -19 to match your powerpoint.

I made changes. Let me know if I misunderstood something. Thanks so much for providing a lesson. I am teaching algebra 1 for the first time.

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- UNIT 1: Welcome Back! - The First Week of School
- UNIT 2: Linear & Absolute Value Functions
- UNIT 3: Numeracy
- UNIT 4: Linear Equations
- UNIT 5: Graphing Linear Functions
- UNIT 6: Systems of Linear Equations
- UNIT 7: Linear Inequalities
- UNIT 8: Polynomials
- UNIT 9: Quadratics
- UNIT 10: Bridge to 10th Grade

- LESSON 1: Graphing Linear Systems of Equations (Day 1 of 2)
- LESSON 2: Graphing Linear Systems of Equations (Day 2 of 2)
- LESSON 3: Solving Linear Systems of Equations with Substitution (Day 1 of 3)
- LESSON 4: Solving Linear Systems of Equations with Substitution (Day 2 of 3)
- LESSON 5: Solving Linear Systems of Equations with Substitution (Day 3 of 3)
- LESSON 6: Solving Linear Systems of Equations with Elimination (Day 1 of 3)
- LESSON 7: Solving Linear Systems of Equations with Elimination (Day 2 of 3)
- LESSON 8: Solving Linear Systems of Equations with Elimination (Day 3 of 3)
- LESSON 9: Stacking Cups: Systems of Equations Real World Application