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Solve systems of linear and quadratic functions algebraically

# Solve systems of linear and quadratic functions algebraically

Unit 13: QUADRATIC FUNCTIONS

Lesson 8 of 9

Lesson 8 of 9

## Objective: SWBAT solve a system of linear and quadratic functions algebraically.

## Big Idea: Use substitution and "making zeroes" to solve systems of linear and quadratic functions algebraically.

Standards:

Subject(s):

Math, Systems of Equations and Inequalities, Algebra, Quadratic Equations, substitution method, linear equations, Quadratics, function

*75 minutes*

1

#### Warm-up

*10 min*

Each day, students complete a Warmup 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 warm-up, because students differ so much in their speeds in finishing graphing tasks, has a bonus question for the early finishers to extend their knowledge. It's not necessary in my class for all kids to do the second problem.

*expand content*

4

#### Homework

*15 min*

This homework assignment is a bit of a confidence builder, but as we approach the end of the unit, confidence is important:

Solve systems of linear and quadratic functions algebraically

*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 quadratic functions
- LESSON 2: Explore changing coefficients
- LESSON 3: Axis of symmetry and vertex algebraically
- LESSON 4: Roots and Factors
- LESSON 5: Solve quadratics by factoring - varied
- LESSON 6: Graph quadratic functions
- LESSON 7: Solve systems of quadratic and linear equations graphically
- LESSON 8: Solve systems of linear and quadratic functions algebraically
- LESSON 9: Unit Assessment on Quadratic Functions

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