Lesson 5
Solving Any Linear Equation
Lesson Narrative
The purpose of this lesson is to move towards a general method for solving linear equations. In the warm-up, students solve equations mentally, including equations with negative coefficients, prompting a discussion of multiplying or dividing each side of an equation by a negative number. In the first activity, students encounter several different structures of equations, and take turns suggesting moves for solving them. Then they apply their growing fluency in solving equations to constructing numbers puzzles of the sort they encountered in the first lesson in this unit.
As students explain their reasoning for choosing a particular move while solving equations and critiquing the choice of their partner, they engage in MP3.
Learning Goals
Teacher Facing
- Calculate a value that is a solution to a linear equation in one variable, and explain (orally) the steps used to solve.
- Create an expression to represent a number puzzle, and justify (orally) that it is equivalent to another expression.
- Justify (orally) that each step used in solving a linear equation maintains equality.
Student Facing
Let's solve linear equations.
Required Materials
Required Preparation
Print and cut up the Trading Steps blackline master for the matching activity. Prepare one set of cards for every 2 students.
Learning Targets
Student Facing
- I can solve an equation where the variable appears on both sides.
Glossary Entries
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term
A term is a part of an expression. It can be a single number, a variable, or a number and a variable that are multiplied together. For example, the expression \(5x + 18\) has two terms. The first term is \(5x\) and the second term is 18.
Print Formatted Materials
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| Student Task Statements | docx | |
| Cumulative Practice Problem Set | docx | |
| Cool Down | Log In | |
| Teacher Guide | Log In | |
| Teacher Presentation Materials | docx | |
| Blackline Masters | zip |