Journey of the Isolated Variable Part 2 Solving

Journey of the Isolated Variable, Part 2 Solving Multi-Step Equations

Essential Question How do I isolate a variable in a multi-step equation?

Lesson Objective We will be able to solve multi-step equations by applying algebraic properties and properties of rational numbers.

Picture Notes Independently, generate your own definitions of each term by creating a sketch, a statement, or an example. Do the best you can. If you don’t know the meaning of a term, don’t look at your neighbor’s work. We will come back to this activity later.

Desmos: Smallest Solution • Complete each slide and practice solving equations with variables on both sides. • Your mission is to create an equation that has the smallest possible solution for x. • Write your equations on the Note Catcher handout.

Think-Pair-Share Discussion 1. Individually, start to rationalize why you believe your equation has the smallest solution. 2. Grab a partner. Share your equations and then discuss which equation you want to present to the whole class. 3. Share your chosen equation with the class. We will vote for the best equation!

Pass the Problem 1. Solve the first line of your multi-step equation. Show all of your work so the next group can follow your thinking. When time is up, pass your problem to the next pair in your group. 2. Check the work already done. Then, solve the second line (while showing your work). Pass again. 3. Check the work already done. Then, solve third line (while showing your work). Pass again. 4. Check your original problem, make any necessary edits, and complete the problem.

Solving Multi-Step Equations: Flowchart •

Solving Multi-Step Equations: Example 1 • GUS Method • G—Guessed • U—Unsure • S—Sure

Solving Multi-Step Equations: Example 2 • GUS Method • G—Guessed • U—Unsure • S—Sure

Solving Multi-Step Equations: Example 3 • GUS Method • G—Guessed • U—Unsure • S—Sure

Revisit Picture Notes • Is there anything you need to add to your Picture Notes or change based on what you’ve learned so far? • Consult with your classmates regarding any boxes where you are missing a definition. • Are there any words you’re still not sure about?

Drive-in Movie Theater • What goes into creating a drive-in movie theater? • What variables do you need to consider to make a profit?

Word Problem Example Scenario: The state fair offers a discount for group admission. A group of 25 kids purchased 25 passes and 25 concert tickets. Each concert ticket costs $15. The total cost of the group’s admission is $512. 50. Find the cost of each pass.

Create Your Own Drive-in Movie Theater Requirements: • Name your drive-in • Create a picture of your drive-in • Label different variables for the drive-in • For example, hotdogs are $2, the cost to run a concession stand is $200 a month, cost of entry is $5 per car, etc. • Create two different word problems based on your drive-in scenario

Gallery Walk • Choose 10 different drive-in word problems to solve. • On the handout, complete the following tasks for each word problem you choose: • Write down the name of the drive-in. • Write down the equation that will solve the word problem. • Solve the equation.