# Unit 4: Module 4: Polynomial and quadratic expressions, equations, and functions

## About this unit

"In earlier modules, students analyze the process of solving equations and developing fluency in writing, interpreting, and translating between various forms of linear equations (Module 1) and linear and exponential functions (Module 3). These experiences combined with modeling with data (Module 2), set the stage for Module 4. Here students continue to interpret expressions, create equations, rewrite equations and functions in different but equivalent forms, and graph and interpret functions, but this time using polynomial functions, and more specifically quadratic functions, as well as square root and cube root functions." Eureka Math/EngageNY (c) 2015 GreatMinds.org

### Learn

### Practice

- Factors & divisibilityGet 3 of 4 questions to level up!
- Factor monomialsGet 3 of 4 questions to level up!

### Learn

### Practice

- Greatest common factor of monomialsGet 3 of 4 questions to level up!
- Factor polynomials: common factorGet 3 of 4 questions to level up!

### Learn

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- Difference of squares introGet 3 of 4 questions to level up!
- Perfect squares introGet 3 of 4 questions to level up!
- Warmup: factoring quadratics introGet 3 of 4 questions to level up!
- Factoring quadratics introGet 3 of 4 questions to level up!

### Learn

### Practice

- Difference of squaresGet 3 of 4 questions to level up!
- Perfect squaresGet 3 of 4 questions to level up!

### Learn

### Practice

- Factor quadratics by groupingGet 3 of 4 questions to level up!

### Learn

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- Zero product propertyGet 3 of 4 questions to level up!
- Quadratics by factoring (intro)Get 3 of 4 questions to level up!
- Quadratics by factoringGet 3 of 4 questions to level up!
- Solve equations using structureGet 3 of 4 questions to level up!

### Learn

### Practice

- Quadratics by taking square roots (intro)Get 3 of 4 questions to level up!
- Quadratics by taking square rootsGet 3 of 4 questions to level up!
- Quadratics by taking square roots: strategyGet 3 of 4 questions to level up!
- Quadratics by taking square roots: with stepsGet 3 of 4 questions to level up!

### Learn

### Practice

- Parabolas introGet 3 of 4 questions to level up!
- Warmup: graphing quadratics in factored formGet 3 of 3 questions to level up!
- Graph quadratics in factored formGet 3 of 4 questions to level up!
- Quadratic word problems (factored form)Get 3 of 4 questions to level up!

### Learn

### Practice

- Completing the square (intro)Get 3 of 4 questions to level up!
- Completing the square (intermediate)Get 3 of 4 questions to level up!
- Completing the squareGet 3 of 4 questions to level up!

### Learn

### Practice

- Quadratic formulaGet 3 of 4 questions to level up!
- Number of solutions of quadratic equationsGet 3 of 4 questions to level up!

### Learn

### Practice

- Warmup: graphing quadratics in vertex formGet 3 of 4 questions to level up!
- Graph quadratics in vertex formGet 3 of 4 questions to level up!
- Quadratic word problems (vertex form)Get 3 of 4 questions to level up!

### Learn

### Practice

- Graph quadratics in standard formGet 3 of 4 questions to level up!
- Quadratic word problems (standard form)Get 3 of 4 questions to level up!
- Features of quadratic functions: strategyGet 3 of 4 questions to level up!
- Warmup: Features of quadratic functionsGet 3 of 3 questions to level up!
- Features of quadratic functionsGet 3 of 4 questions to level up!
- Graph parabolas in all formsGet 3 of 4 questions to level up!

### Learn

### Practice

- Shift parabolasGet 3 of 4 questions to level up!
- Shift functionsGet 3 of 4 questions to level up!

### Learn

### Practice

- Scale & reflect parabolasGet 3 of 4 questions to level up!
- Identify function transformationsGet 3 of 4 questions to level up!
- Graphs of square and cube root functionsGet 3 of 4 questions to level up!