**Prior Knowledge**

Before this lesson your students should have previously learned how to write equations. This involves:

(a) translating

sentences into equations,

(b) translating equations into sentences,

(c) solving one-step equations using addition and subtraction and

(d) solving simple equations using multiplication or division. Now students will learn how to solve multi-step equations.

**Common Core State Standards**

A.REI.1: Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.

A.REI.3: Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.

**Mathematical Practice(s)**

Look for and express regularity in repeated reasoning.

**Learning Target(s)**

- Applying order of operations and inverse operations to solve equations
- Constructing an argument to justify my solution process

**Essential Question(s)**

What is one problem-solving strategy used to solve multi-step equations?

*Answer: Working backwards or using the order of operations in reverse.*

**Vocabulary**

Inverse operation, isolate, variable, constant, reciprocal, coefficient

## LESSON

Notes:

- Instruct that minus and negative are equivalent
**GOAL:**To isolated the specified variable- Instruct that what is done on one side of the equation (= sign), must be done on the other side of the = sign.

Utilize chilimath.com for the lesson today. There are two pages to view. Use all of the examples or as many as you choose.

** Reminder for students: that –x is the same as -1x & x is the same as 1x.*

**Guided Practice**

3-6 practice problems. You can do 1or 2 problems with the students at the board (Smart Board, Elmo, etc.) and then put them in small groups of no more than 3 to do the rest. These problems can be pulled from any textbook or other resource.

**Independent Practice**

Approximately 5 problems to be done alone.

**Closure/Review**

Ask 1-3 questions relating to today’s lesson to be answered by the class as a whole. This will give you a general idea of the class’ understanding of today’s topic.

**Exit Ticket**

This is to be done the last 3-5 minutes of class and given to you (by hand or in a designated area of your room) as they leave class. Possible question(s):

Solve this problem: 5k + 3 = 23

(*Answer: k = 4)*

## This post is part of the series: Beginner Algebra

- Lesson Plan: Solving One-Step Equations using Addition or Subtraction
- Lesson Plan: Solving One-Step Equations using Multiplication or Division
- High School Math Lesson Plan: Solving Multi-Step Equations
- Lesson Plan: Solving Equations with Variables on Both Sides of the Equation
- Algebra Lesson Plan: Solving Absolute Value Equations