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SAT

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Topics Covered

Algebra 1

  • Linear expression in one variable

  • Linear inequalities in one variable

  • The linear relationship between two quantities

Algebra 2

  • Linear inequalities in two variables

  • Linear equations in two variables

  • Algebraically solve linear equations in one variable

  • Algebraically solve systems of two linear equations in two variables

  • Understand the connection between algebraic and graphical representations

Heart of Algebra

Topics Covered

PSDA 1

  • Ratio and Proportions

  • Rates

  • Practice problems and Solution

PSDA 2

  • Solve single- and multi-step problems involving percentages , measurement quantities, units, and unit conversion. 

  • Given a scatter plot, use linear, quadratic, or exponential models to describe how the variables are related

  • Compare linear growth with exponential growth. 

  • Use two-way tables to summarize categorical data and relative frequencies, and calculate conditional probability

  • Make inferences about population parameters based on sample data

  • Use statistics to investigate measures of the center of data and analyze shape, center, and spread. 

  • 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

  • Create a quadratic or exponential function 

  • Determine the most suitable form of expression

  • Create equivalent expressions involving rational exponents 

  • Create an equivalent form of an algebric expression

PAM 2

  • Solve a quadratic equation 

  • Add, subtract, and multiply polynomial expressions and simplify the result. The expressions will have rational coefficients

  • Solve an equation in one variable that contains radicals or contains the variable in the denominator of a fraction

PAM 3

  • Solve a system of one linear equation and one quadratic equation

  • Rewrite simple rational expression

  • Interpret parts of nonlinear expressions in terms of their context 

  • Understand the relationship between zeros and factors of polynomials

PAM 4

  • Understand a nonlinear relationship between two variables 

  • 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

  • Use structure to isolate or identify a quantity of interest in an expression or isolate a quantity of interest in an equation

PAM 5

  • Use structure to isolate or identify a quantity of interest 

  • In an expression, isolate a quantity of interest in an equation

  • 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

  • Solve problems using volume formulas,length of a side, area of a face, or volume of a solid, to calculate missing information

  • Use trigonometric ratios and the Pythagorean theorem to solve applied problems involving right triangles

  • Convert between degrees and radians and use radians to determine arc lengths

  • Apply theorems about circles to find arc lengths, areas of sectors, angle measures and chord lengths

  • Use theorems about congruence and similarity to solve problems about lines, angles, and triangles. Use the relationship between similarity, right triangles, and trigonometric ratios.   

  • Create or use an equation in two variables to solve a problem about a circle in the coordinate plane. 

  • Use the relationship between sine and cosine of complementary angles

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