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# Introduction to solving equations

Lesson 1 of 16

## Objective: SWBAT introduce solving equations in one variable

*75 minutes*

#### 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.

In this lesson's warm-up, students are immediately pushed to apply an equation to a real-world context, and then to solve it. I purposely ask them to identify the equation BEFORE solving it to ensure that kids make the link between these two tasks, which are too often separated. I also push kids to ask how they would do it mentally, which then further solidifies the understanding of why we use inverse operations in general.

Early in the year, as this lesson is, I want to push the importance of understanding not only the right answer, but why each wrong answer is wrong. I love the second part of this task, which pushes kids to explain why each is wrong. Students come up with good descriptions of why certain answer choices are wrong that demonstrate and develop strong conceptual understanding.

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#### 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.

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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

- 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