SAT PRE-PREP (Khan v.12.15.2015) STUDENT ___________________ This is a TWO (2) page checklist. Please be sure to print both pages. Unit 1: Introduction to Algebra 1 2 3 4 5 6 7 8 9 10 11 10 11 Unit 2: One-Variable Linear Equations 1 2 3 4 5 6 7 8 9 Unit 3: One-Variable Linear Inequalities 1 2 3 4 5 Unit 4: Units of Measuring in Modeling 1 2 3 Unit 5: Two-Variable Linear Equations and Introduction to Functions 1 2 3 4 5 6 7 8 9 10 11 21 22 23 24 25 26 27 28 29 30 31 5 6 7 8 9 10 11 6 7 8 9 10 12 13 14 15 16 17 18 19 20 12 13 14 15 16 17 18 19 20 ? Unit 6: Functions 1 2 3 4 Unit 7: Sequences 1 2 3 4 5 Unit 8: Systems of Linear Equations 1 2 3 4 5 6 7 8 9 10 Unit 9: Two-Variable Linear Inequalities 1 2 3 4 5 6 7 8 9 Unit 10: Absolute-Value Equations, Functions, and Inequalities 1 SAT PRE-PREP (Khan v.12.15.2015) STUDENT ___________________ Unit 11: Introduction to Polynomials 1 2 3 4 5 6 7 8 Unit 12: Introduction to Polynomial Factorization 1 2 3 4 5 6 7 8 9 10 11 12 Unit 13: Quadratic Equations and Functions 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 Unit 14: Expressions with Rational Exponents and Radicals 1 2 3 4 5 6 7 8 Unit 15: Introduction to Exponential Functions 1 2 3 4 5 6 7 Unit 16: Rational and Irrational Numbers 1 2 Unit 17: Seeing Structure in Expressions 1 2 3 Unit 18: Old Content 1 2 3 4 5 6 16 17 18 19 SAT PRE-PREP (Khan v.12.15.2015) STUDENT ___________________ 1: Introduction to Algebra Evaluating expressions with one variable Evaluating expressions with 2 variables Equivalent expressions with distribution & combining like terms Interpreting linear expressions Dependent and independent variables Evaluating expressions with variables word problems Combining like terms with negative coefficients Writing expressions with variables Writing expressions with variables and parentheses Combining like terms with distribution and negative numbers Combining like terms with rational coefficients 2: One-Variable Linear Equations One step equation intuition Linear equations with variables on both sides Solving equations in terms of a variable One step equations with addition and subtraction Multi-step equations with distribution One-step equations with multiplication and division Linear equations with one, zero, or infinite solutions Two step equations Linear equation word problems Age word problems Sums of consecutive integers 3: Linear Inequalities One-step inequalities Two-step inequalities Interpreting and solving linear inequalities Multi-step linear inequalities Compound inequalities 4: Units of Measurement in Modeling Units Working with Units algebraically Measurement Precision 5: Two Variable Linear Equations and Introduction to Functions Checking solutions to 2-variable linear equations Slope intuition Graphing solutions to two-variable linear equations Slope from a graph Intercepts from a graph Intercepts from a table Intercepts from a linear equation Slope from two solutions Graph from slopeintercept equation Slope-intercept equation from a graph Converting between slope-intercept and standard form Generating inputoutput pairs of a function Interpreting linear formulas word problems Linear function word problems Slope-intercept equation from two solutions Writing the equation a line in any form Point-slope form Slope from an equation in slopeintercept form Graph from a standard form equation Evaluating function expressions Writing function rules from equations Interpreting function notation in word problems Comparing linear functions word problems Interpreting linear tables word problems Graphing linear functions word problems Interpreting linear graphs word problems Constructing linear functions word problems Comparing linear functions Evaluating functions Slope from an equation in standard form Matching inputs to function outputs SAT PRE-PREP (Khan v.12.15.2015) STUDENT ___________________ 6: Functions Evaluating functions Evaluating function expressions Matching inputs to function outputs Interpreting function notation word problems Recognizing functions from tables Positive and negative intervals Domain and range from a graph Domain of algebraic functions Evaluating piecewise functions Increasing and decreasing intervals Graphs of piecewise linear functions Interpreting graphs word problems Evaluating sequences in recursive form Find the next term of an arithmetic sequence, given the first few terms Find any term of a geometric sequence, given the formula of the sequence Find any term of an arithmetic sequence, given the formula of the sequence Find explicit formulas for geometric sequences Generating inputoutput pairs of a function Domain of modeling functions Writing function rules from equations Find explicit formulas for arithmetic sequences Find recursive formulas for geometric sequences Find recursive formulas for arithmetic sequences Model real-world situations with arithmetic and geometric sequences Recognizing functions from graphs Domain and range of Recognizing maxima piecewise functions and minima Finding average rate Average rate of of change change word problems 7: Sequences Find the next term of a geometric sequence, given the first few terms 8: Systems of Linear Equations Checking solutions to systems of equations Solving systems of equations graphically Equivalent systems of equations Solving systems of linear equations with substitution Analyzing solutions to linear systems graphically Analyzing solutions to linear systems algebraically Solving systems of linear equations with elimination 1 Solving systems of 2 linear equations Solving systems of linear equations with elimination 2 Systems of linear equations word problems 9. Two-Variable Linear Inequalities Checking solutions of two-variable linear inequalities Checking solutions of systems of inequalities Completing solutions of two-variable inequalities Graphing inequalities and checking solutions Graphing systems of inequalities and checking solutions Two-variable linear inequalities word problems Completing solutions of systems of two variable inequalities Systems of linear inequalities word problems Finding the inequality representing the graph 10: Absolute-Value Equations, Functions, and Inequalities Absolute Value Equations 11: Introduction to Polynomials Adding and subtracting polynomials with one variable Adding and subtracting polynomials with two variable Multiplying monomials by monomials Multiplying binomials by polynomials Finding special products of binomials (basic) Finding special products of binomials (advanced) Multiplying monomials by polynomials Multiplying binomials by binomials SAT PRE-PREP (Khan v.12.15.2015) STUDENT ___________________ 12: Introduction to Polynomial Factorization Factors and divisibility Factoring monomials Factor quadratics with a leading coefficient other than 1 Factor perfect squares Factor polynomials using quadratic methods Factor polynomials with special product forms Solve quadratic equations by taking the square root Understand the process for solving quadratic equations Rewrite quadratic expressions as perfect squares Solving quadratic equations by completing the square (leading coefficient is 1) Identify and use the different forms of quadratic functions Graph quadratic functions in vertex form Find features of quadratic functions Find the greatest common factor of 2 or 3 integers Factor polynomials with quadratic forms Factor polynomials by taking a common factor Factor simple special products Factor quadratics with a leading coefficient of 1 Factor differences of squares 13: Quadratic Equations and Functions Graph quadratic functions in all forms Solve factorable quadratic equations (leading coefficient is 1). Solving quadratic equations by completing the square (leading coefficient is other than 1) Compare properties of quadratic functions Shift and scale parabolas Solve factorable quadratic equations (leading coefficient is other than 1). Solve quadratic equations using the quadratic formula Solve quadratic equations by using structure. Graph quadratic functions in standard form Interpret quadratic models Graph quadratic functions in factored form Determine the number of solutions of a quadratic equation 14: Expressions with Rational Exponents and Radicals Unit-fraction exponents and radicals Rational exponents and radicals Simplify numerical radical terms Single-step simplification of rational expressions Single-step simplification of radical expressions Multi-step simplification of rational exponent expressions Add, subtract, multiply, and divide numerical radical terms Simplify numerical radical expressions with multiple terms 15. Introduction to Exponential Functions Construct basic exponential functions from the initial value and the common ratio Distinguish between linear and exponential models Construct basic Graphs of basic Interpret formulas of exponential functions exponential functions basic exponential from a table or a functions graph Compare the growth rates of exponential and polynomials 16: Rational and Irrational Numbers Interpret graphs and tables of exponential functions SAT PRE-PREP (Khan v.12.15.2015) Recognizing rational and irrational numbers STUDENT ___________________ Recognizing rational and irrational expressions 17. Seeing Structure in Expressions Evaluate Expressions with unknown variables (basic) Evaluate Expressions with unknown variables (basic) Use equations with unknown variables to rewrite expressions 18. Old Content Converting 1-digit repeating decimals to fractions Converting multi-digit repeating decimals to fractions Nested fractions Manipulate formulas