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# SUB! How can we use the properties of algebra to figure out the intersection of two lines WITHOUT graphing? (Day 2 of 3)

Lesson 4 of 19

## Objective: SWBAT solve systems of linear equations by substitution.

## Big Idea: Fluency! Give kids lots of practice to solve systems using substitution. Push their conceptual understanding of one solution, no solutions, and infinite solutions as well.

*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. Today's warmup worksheet is WU63 Solve systems using substitution 2.

For a video narrative about how I structure each lesson, and how the warm-up fits in, click here.

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#### Homework

*15 min*

Today's homework file (HW63 Solve systems using substitution day 2) contains 7 problem related to this lesson, as well as some spiraled review. I also give the kids the answers to the problems on page 2 of the assignment.

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Sarah - thanks for your thoughtful note. I think the lesson was missing the independent practice section, which I just uploaded to the resources section of the Play of the Day. I hope that is helpful! Let me know if you need more help. I am at jli@kippinfinity.org.

| 3 years ago | Reply

Jeff,

Thank you for your insightful and well planned out lessons. They are a huge resource to me as a first year 8th grade math teacher. The documents for this lesson are not loading correctly. Can you take a look at them?

Best,

Sarah Scott

| 3 years ago | Reply##### Similar Lessons

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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: Solve systems of linear functions by graphing - TWO lines on the same graph?!?
- LESSON 2: Solve systems of linear equations by graphing - with some real-life applications
- LESSON 3: SUB! How can we use the properties of algebra to figure out the intersection of two lines WITHOUT graphing? (Day 1 of 3)
- LESSON 4: SUB! How can we use the properties of algebra to figure out the intersection of two lines WITHOUT graphing? (Day 2 of 3)
- LESSON 5: SUB! How can we use the properties of algebra to figure out the intersection of two lines WITHOUT graphing? (Day 3 of 3)
- LESSON 6: Assessment #9
- LESSON 7: Elimination 1 - add or subtract only
- LESSON 8: Elimination 2 - add or subtract only
- LESSON 9: Elimination 3 - multiply one equation only
- LESSON 10: Elimination 4 - multiply one equation only
- LESSON 11: Elimination 5 - mulitply both equations
- LESSON 12: Choose the best method to solve systems of equations
- LESSON 13: Real-life Systems 1
- LESSON 14: Real-life Systems 2
- LESSON 15: Real-life Systems 3 - Easy Price
- LESSON 16: Real-life Systems 4 - Sum Plus One Other
- LESSON 17: Real-life Systems 5 - Price-Sum Plus One Other
- LESSON 18: Mixed Review of Systems of Equations
- LESSON 19: Assessment #10 - Systems Unit Assessment