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Heart of Algebra: 5 hours

1. Create, solve, or interpret a linear expression or equation in one variable
2. Create, solve, or interpret linear inequalities in one variable
3. Build a linear function that models a linear relationship between two quantities
4. Create, solve, and interpret systems of linear inequalities in two variables.
5. Create, solve, and interpret systems of two linear equations in two variables
6. Algebraically solve linear equations (or inequalities) in one variable.
7. Algebraically solve systems of two linear equations in two variables.
8. Interpret the variables and constants in expressions for linear functions within the context presented.
9. Understand connections between algebraic and graphical representations.

Problem Solving and Data Analysis : 5 hours

1. Use ratios, rates, proportional relationships, and scale drawings to solve single- and multistep problems.
2. Solve single- and multistep problems involving percentages
3. Solve single- and multistep problems involving measurement quantities, units, and unit conversion.
4. Given a scatterplot, use linear, quadratic, or exponential models to describe how the variables are related.
5. Use the relationship between two variables to investigate key features of the graph
6. Compare linear growth with exponential growth.
7. Use two-way tables to summarize categorical data and relative frequencies, and calculate conditional probability
8. Make inferences about population parameters based on sample data.
9. Use statistics to investigate measures of center of data and analyze shape, center, and spread.
10. Evaluate reports to make inferences, justify conclusions, and determine appropriateness of data collection methods.

Passport to Advance Math : 5 hours

1. Create a quadratic or exponential function
2. Determine the most suitable form of an expression
3. Create equivalent expressions involving rational exponents
4. Create an equivalent form of an algebraic expression
5. Solve a quadratic equation
6. Add, subtract, and multiply polynomial expressions
7. Solve an equation in one variable that contains radicals or contains the variable in the denominator of a fraction
8. Solve a system of one linear equation and one quadratic equation
9. Rewrite simple rational expressions
10. Interpret parts of nonlinear expressions in terms of their context.
11. Understand the relationship between zeros and factors of polynomials,
12. Understand a nonlinear relationship between two variables
13. Use function notation, and interpret statements using function notation.
14. Use structure to isolate or identify a quantity of interest

Additional Topics in Math : 7 hours

1. Solve problems using volume formulas
2. Use trigonometric ratios and the Pythagorean theorem
3. Add, subtract, multiply, divide, and simplify complex numbers.
4. Convert between degrees and radians and use radians to determine arc lengths; use trigonometric functions of radian measure
5. Apply theorems about circles to find arc lengths, angle measures, chord lengths, and areas of sectors
6. Use concepts and theorems about congruence and similarity to solve problems about lines, angles, and triangles
7. Use the relationship between similarity, right triangles, and trigonometric ratios; use the relationship between sine and cosine of complementary angles.
8. Create or use an equation in two variables to solve a problem about a circle in the coordinate plane.

Past papers and Queries : 3 hours