The Number System

• · Know that there are numbers that are not rational, and approximate them by rational numbers.
• · Extend the properties of exponents to rational exponents.
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· Quantities

• Reason quantitatively and use units to solve problems.
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· Expressions and Equations

• · Work with radical and integer exponents.
• · Understand the connections between proportional relationships, lines, and linear equations.
• · Analyze and solve linear equations and pairs of simultaneous linear equations.
• · Interpret the structure of expressions.
• · Write expressions in equivalent forms to solve problems.
• · Create expressions that describe numbers or relationships.
• · Understand solving equations as a process of reasoning and explaining the reasoning.
• · Represent and solve equations and inequalities graphically.
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· Functions

• · Define, evaluate, and compare functions.
• · Use functions to model relationships between quantities.
• · Understand that concept of a function and use function notation.
• · Interpret functions that arise in applications in terms of the context.
• · Analyze functions using different representations.
• · Build a function that models a relationship between two quantities.
• · Build new functions from existing functions.
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· Linear, Quadratic, and Exponential Models

• · Construct and compare linear and exponential models and solve problems.
• · Interpret expressions for functions in terms of the situation they model.
• · Interpret linear models.
• · Arithmetic with Polynomials and Rational Expressions
• · Perform arithmetic operations on polynomials.
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· Geometry

• · Understand congruence and similarity using physical models, transparencies, or geometry software.
• · Understand and apply the Pythagorean Theorem.
• · Solve real-world and mathematical problems involving volume of cylinders, cones, and spheres.
• · Use coordinates to prove simple geometric theorems algebraically.
• · Experiment with transformations in the plane.
• · Explain volume formulas and use them to solve problems.

· Statistics and Probability

• o Investigate patterns of association in bivariate data.
• o Summarize, represent, and interpret data on a single count or measurement variable.
• o Summarize, represent, and interpret data on two categorical and quantitative variables.