##
* *Reflection: Vertical Alignment
Solving Linear Systems of Equations with Elimination (Day 1 of 3) - Section 2: Guided Notes + Practice

I find that it is important to build up to elimination by first establishing a base knowledge of zero pairs. This is especially important for students who struggle with negative integers. Most students think this is the easiest way to solve linear systems of equations, however they try to create zero pairs where they do not exist. It is important to stress to students that only opposite numbers (-5/+5) cancel each other out. The coloring activity is great for kinesthetic and visual learners and really helps students think about what happens when you add equations and how zero pairs you can create zero pairs when they do not already exist.

*Zero Pairs*

*Vertical Alignment: Zero Pairs*

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

Lesson 6 of 9

## Objective: SWBAT solve systems of equations using elimination.

*80 minutes*

#### Do-Now

*10 min*

I expect my students will complete today's Do Now in 5 minutes. I will then ask two students to come up to the board to show their answers to the class. I will ask that each of these student to solve the system using a different method. I will ask the students not to look at each other's work as they solve. After they finish, I will ask the class to analyze their work to see if the students arrived at the same answer.

Next, I will ask a student will read the objective, **"SWBAT solve systems of equations using elimination".**

I will ask a few volunteers to define "eliminate", and to give some real-world examples of situations where something is eliminated.

#### Resources

*expand content*

#### Guided Notes + Practice

*30 min*

Before beginning new material, I will return the Exit Cards from our last class to give students an opportunity to review their responses.

**Page One:**

Next, the class will follow along with me on their Guided Notes. I will remind students that we already know how to solve systems of equations using graphing and substitution, so the point of today's lesson is to explore a new method. I will ask the students to copy the text below on their notes:

**Eliminate -->****__**To get rid of or take away**__.**

**We can solve systems of equations by eliminating a _**variable**_.**

**In order to eliminate a variable, the**coefficient**MUST form a**zero pair when the equations are added .

Students will practice making a zero pair with addition using the nine problems on their handout. When students get to the third row of problems, I will use the following verbal prompts to guide the class along:

*Our goal is to make a zero pair, but 5 + 5 ≠ 0.**How can we make this equation equal zero?**What about the next problem? How can I make the number sentence, 8 + 8 = 0, true?*

We will then complete the four systems of equations on the bottom of the page. I will complete example one and two, and the students will complete the two "You Try" problems.

**Page Two:**

When my students have learned elimination in the past, they typically struggled the most with identifying which variable to eliminate, and, determining when a system must be modified in order to solve using the elimination method. I have designed this activity to isolate these skills.

Students will use four colored pencils to shade each box with the color the corresponds with what happened when the equations were added together. Students do not need to fully solve the system in order to complete this task.

Lastly, students will pick six systems to solve on the bottom of their papers using elimination. I will ask that students pick at least one box of each color to solve. We will review the responses as a whole group before moving on to the partner activity.

#### Resources

*expand content*

Students will practice solving systems of equations using elimination using the ETA Hand to Mind product VersaTiles. Students will match correct responses to the numbered tiles in the black VersaTile case. If you do not have a VersaTiles classroom set, the assignment can still be completed by having students match questions and responses with pencil and paper.

#### Resources

*expand content*

#### Closing

*10 min*

I will ask a volunteer to summarize what the elimination method is, and how it can be used to solve a system of equations. I will ask the class to identify some common misconceptions that a student might have when learning how to use elimination, and to give some suggestions that would help them. Students will then complete an Exit Card.

#### Resources

*expand content*

*Thanks for the lesson. I really like the way you did Guided Notes and Practice. | 8 months ago | Reply*

*Thank you for this!!Versatile practice, problem 1, x = 1 & in the answer key it's 5/8. Please correct for future reference. | 11 months ago | Reply*

*Great lesson. Thank you! Both the notes and the coloring activity really helped my low level math ELL students grasp the meaning of zero pairs and comprehend the elimination method. It also helped with engagement and encouraged student discourse - everyone worked on the assignment and I didn't have to force the students to discuss/defend their answers. | one year ago | Reply*

You're a LIFESAVER. Thank you. This really helped with my differentiation issue.

| 2 years ago | Reply

Excellent. We just started woking on systems and the kids are struggling. I will try this tomorrow and see if I can bring some clarity.

| 2 years ago | Reply*expand comments*

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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
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- 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