Lesson 1: Solve Equations with Rational Coefficients
Duration of Days: 4
Lesson Objective
Students will be able to solve one- and two-step linear equations containing rational coefficients (fractions, decimals, and negative numbers) by applying inverse operations to isolate the variable.
How does the process of isolating a variable change when the coefficient is a fraction or a decimal instead of a whole number?
Why does multiplying a fractional coefficient by its reciprocal isolate the variable?
How can you use estimation to check if your calculated solution to a decimal equation is reasonable?
Rational Number,
Coefficient,
Inverse Operation,
Reciprocal,
Isolate,
Solution,
Variable,
Constant.
8.EE.C.7: Analyze and solve linear equations and pairs of simultaneous linear equations.
8.EE.C.7.B: Solve linear equations with rational coefficients, including equations whose solutions require expanding expressions using the distributive property and collecting like terms.
Description: Students will build on their 7th-grade equations background by solving equations that feature rational coefficients. The lesson focuses on executing inverse operations when dealing with fractions, mixed numbers, and decimals, ensuring students can confidently clear fractions using reciprocals or common denominators.
Purpose: The purpose of this lesson is to eliminate fractional and decimal computation fatigue before students advance to multi-step equations.
DOK Level: 2 (Basic Application of Skills and Concepts)
Reciprocal errors
Dropping a negative sign
Utilize digital or physical fraction bars
Error analysis practice
-Exit Tickets
-Quiz
-Check-Ins
Manipulatives
Worksheets
Google Forms