Created on: March 24, 2015

Website Address: https://library.curriki.org/oer/Unit-4--Expressions-and-Equations

TABLE OF CONTENTS

- Unit 1 - Relationships Between Quantities and Reasoning with Equations
- Unit 2 - Linear and Exponential Relationships
- Unit 3 - Descriptive Statistics
- Unit 4 - Expressions and Equations
- Unit 5 - Quadratic Functions and Modeling

- Cluster - Interpret the structure of expressions.
- Cluster - Write expressions in equivalent forms to solve problems.
- Cluster - Perform arithmetic operations on polynomials.
- Cluster - Create equations that describe numbers or relationships.
- Cluster - Solve equations and inequalities in one variable.
- Cluster - Solve systems of equations.

IN COLLECTION

Includes Standard Clusters:

• Interpret the structure of expressions.

• Write expressions in equivalent forms to solve problems.

• Perform arithmetic operations on polynomials.

• Create equations that describe numbers or relationships.

• Solve equations and inequalities in one variable.

• Solve systems of equations.

Focus on quadratic and exponential expressions. For A.SSE.1b, exponents are extended from the integer exponents found in Unit 1 to rational exponents focusing on those that represent square or cube roots.

It is important to balance conceptual understanding and procedural fluency in work with equivalent expressions. For example, development of skill in factoring and completing the square goes hand-in-hand with understanding what different forms of a quadratic expression reveal.

Focus on polynomial expressions that simplify to forms that are linear or quadratic in a positive integer power of x.

Extend work on linear and exponential equations in Unit 1 to quadratic equations. Extend A.CED.4 to formulas involving squared variables.

Students should learn of the existence of the complex number system, but will not solve quadratics with complex solutions until Algebra II.

Include systems consisting of one linear and one quadratic equation. Include systems that lead to work with fractions. For example, finding the intersections between x^2+y^2=1 and y = (x+1)/2 leads to the point (3/5, 4/5) on the unit circle, corresponding to the Pythagorean triple 3^2+4^2=5^2.