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