Topics Covered
Algebra 1
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Linear expression in one variable
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Linear inequalities in one variable
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The linear relationship between two quantities
Algebra 2
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Linear inequalities in two variables
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Linear equations in two variables
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Algebraically solve linear equations in one variable
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Algebraically solve systems of two linear equations in two variables
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Understand the connection between algebraic and graphical representations
Heart of Algebra
Topics Covered
PSDA 1
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Ratio and Proportions
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Rates
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Practice problems and Solution
PSDA 2
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Solve single- and multi-step problems involving percentages , measurement quantities, units, and unit conversion.
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Given a scatter plot, use linear, quadratic, or exponential models to describe how the variables are related
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Compare linear growth with exponential growth.
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Use two-way tables to summarize categorical data and relative frequencies, and calculate conditional probability
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Make inferences about population parameters based on sample data
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Use statistics to investigate measures of the center of data and analyze shape, center, and spread.
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Evaluate reports to make inferences, justify conclusions, and determine the appropriateness of data collection methods
Problem Solving and Data Analysis (PSDA)
Topics Covered
PAM 1
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Create a quadratic or exponential function
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Determine the most suitable form of expression
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Create equivalent expressions involving rational exponents
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Create an equivalent form of an algebric expression
PAM 2
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Solve a quadratic equation
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Add, subtract, and multiply polynomial expressions and simplify the result. The expressions will have rational coefficients
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Solve an equation in one variable that contains radicals or contains the variable in the denominator of a fraction
PAM 3
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Solve a system of one linear equation and one quadratic equation
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Rewrite simple rational expression
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Interpret parts of nonlinear expressions in terms of their context
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Understand the relationship between zeros and factors of polynomials
PAM 4
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Understand a nonlinear relationship between two variables
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Use function notation, and interpret statements using function notation. The student will use function notation to solve conceptual problems related to transformations and compositions of functions
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Use structure to isolate or identify a quantity of interest in an expression or isolate a quantity of interest in an equation
PAM 5
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Use structure to isolate or identify a quantity of interest
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In an expression, isolate a quantity of interest in an equation
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The student will rearrange an equation or formula to isolate
Passport to Advance Mathematics (PAM)
Additional Topics in SAT Maths
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Topics Covered
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Solve problems using volume formulas,length of a side, area of a face, or volume of a solid, to calculate missing information
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Use trigonometric ratios and the Pythagorean theorem to solve applied problems involving right triangles
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Convert between degrees and radians and use radians to determine arc lengths
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Apply theorems about circles to find arc lengths, areas of sectors, angle measures and chord lengths
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Use theorems about congruence and similarity to solve problems about lines, angles, and triangles. Use the relationship between similarity, right triangles, and trigonometric ratios.
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Create or use an equation in two variables to solve a problem about a circle in the coordinate plane.
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Use the relationship between sine and cosine of complementary angles