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Understand one, infinite, or no solutions (Part 1 of 2)

# Understand one, infinite, or no solutions (Part 1 of 2)

Unit 2: SOLVING LINEAR EQUATIONS

Lesson 8 of 16

Lesson 8 of 16

## Objective: SWBAT understand one, infinite, or no solutions to a system of linear equations.

## Big Idea: Is the equation sign lying, or telling us something we already knew? Explore and understand one, infinite, or no solutions.

Subject(s):

Math, Algebra, Linear and Nonlinear Equations, properties of algebra, solving linear equations, reasoning and problem solving

*75 minutes*

1

#### Warm-up

*10 min*

Each day, students complete a warm-up that usually consists of spiraling the previous day's material, in addition to older material. Warm-up problems also sometimes extend lessons that students have encountered before to more unfamiliar contexts.

*expand content*

4

#### Homework

*15 min*

The homework includes questions related to this lesson, as well as spiraled review. I also provide answers to the problems on page 2.

*expand content*

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- UNIT 1: FLUENCIES AND THE LANGUAGE OF ALGEBRA
- UNIT 2: SOLVING LINEAR EQUATIONS
- UNIT 3: INTRODUCTION TO FUNCTIONS
- UNIT 4: INTERPRETING AND COMPARING LINEAR FUNCTIONS
- UNIT 5: SYSTEMS OF LINEAR EQUATIONS
- UNIT 6: EXPONENTS AND SCIENTIFIC NOTATION
- UNIT 7: PARALLEL LINES, TRANSVERSALS, AND TRIANGLES
- UNIT 8: CONGRUENCE AND SIMILARITY THROUGH TRANSFORMATIONS
- UNIT 9: PATTERNS OF ASSOCIATION IN BIVARIATE DATA
- UNIT 10: SLOPE REVISITED
- UNIT 11: VOLUME OF CYLINDERS, CONES, AND SPHERES
- UNIT 12: POLYNOMIALS AND FACTORING
- UNIT 13: QUADRATIC FUNCTIONS

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- LESSON 1: Introduction to solving equations
- LESSON 2: Solving Equations- Distributive Property
- LESSON 3: Collect like terms first
- LESSON 4: Fractional coefficients
- LESSON 5: Variables on both sides (Day 1 of 2)
- LESSON 6: Variables on both sides (Day 2 of 2)
- LESSON 7: Assessment #2
- LESSON 8: Understand one, infinite, or no solutions (Part 1 of 2)
- LESSON 9: Understand one, infinite, or no solutions (Part 2 of 2)
- LESSON 10: Apply algebra to solve problems (Part 1 of 2)
- LESSON 11: Apply algebra to solve problems (Part 2 of 2)
- LESSON 12: Assessment #3
- LESSON 13: Equations with mixed numbers and fractions
- LESSON 14: Solve for a given variable (Part 1 of 2)
- LESSON 15: Solve for a given variable (Part 2 of 2)
- LESSON 16: Assessment #4

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