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* *Reflection: Complex Tasks
Solving Linear Systems of Equations with Substitution (Day 3 of 3) - Section 3: Guided Notes + Practice

It’s one thing to be able to plug some numbers into a formula or equation and solve. It’s even another to be able to identify those numbers from a word problem and do that. However, student understanding will not stick if a student cannot explain their reasoning or justification for WHY those numbers go where they belong in the equation or WHY this part of the equation requires a particular operation versus another. Reasoning and justification are some of the deepest levels of understanding when a student can demonstrate their abilities to do this. I push my students not to just tell me what I need to do or how but why I need to do it because then the application can become universal.

*Deep Student Understanding*

*Complex Tasks: Deep Student Understanding*

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

Lesson 5 of 9

## Objective: SWBAT solve real world scenarios using systems of equations.

#### Do-Now

*10 min*

Students will complete the 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 select students to solve the system using different methods. I will ask 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 real world scenarios using systems of equations". **

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#### Guided Notes + Practice

*35 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: **We will explore today's guided note sheet. The video below shows how I will present these ideas in front of the class.

#### Resources

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#### Partner Practice

*25 min*

Students will practice solving systems of equation word problems in today's partner activity.

Students will read the scenario on each card, and then match the card with the corresponding equation card. Next, the pair will work together to will derive the second equation. Finally, the students will solve the system using substitution.

**Teaching Note:** This activity needs to be cut out by the instructor before class begins.

#### Resources

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#### Closing

*10 min*

I will ask the students to think of a scenario in their own life where they could create a system of equation to find the solution. Next, a volunteer will be asked to give a short summary of what we learned in class today. Students will then complete an exit card.

#### Resources

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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