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Algebra 2 Modified: (Khan v.4.17.2016) STUDENT __________________ Algebra 1 Unit 5: Two-Variable Linear Equations 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 13 14 15 16 Algebra 1 Unit 9: Systems of Linear Equations 1 2 3 4 5 6 7 8 9 10 11 Algebra 1 Unit 14: Introduction to Polynomials 1 2 3 4 5 6 7 8 9 10 Algebra 1 Unit 15: Polynomial Factorization 1 2 3 4 5 6 7 8 9 10 11 Algebra 1 Unit 16: Quadratic Equations and Functions 1 2 3 4 5 6 7 8 9 10 11 12 Algebra 2 Unit 13: Introduction to Conic Sections 1 2 3 4 5 6 7 8 Algebra 2 Unit 3: Arithmetic with Polynomials 1 2 3 4 5 6 7 8 Algebra 2 Unit 4: Polynomial Expressions, Equations, and Functions 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 15 16 17 Algebra 2 Unit 6: Rational Expressions, Equations, and Functions 1 2 3 4 5 6 7 8 9 10 11 12 Algebra 2 Unit 2: Introduction to Complex Numbers 1 2 3 4 5 6 7 8 9 Algebra 2 Unit 7: Exponential Growth and Decay 1 2 3 4 5 6 7 8 9 10 Algebra 2 Unit 8: Exponential and Logarithmic Functions 1 2 3 4 5 6 7 8 9 10 11 Algebra 2 Unit 10: Advanced Equations and Functions 1 2 3 4 5 13 14 18 19 20 Algebra 2 Modified: (Khan v.4.17.2016) STUDENT __________________ Algebra 1 Unit 5: Two Variable Linear Equations and Introduction to Functions Solutions to 2-variable equations Slope from graph Complete solutions to twovariable equations Slope from two points Intercepts from a graph Intercepts from a table Intercepts from an equation Slope from slope-intercept equation Graph from slope-intercept form Slope-intercept equation from a graph Slope-intercept equation from two points Equation a line: any form Point-slope form Graph from linear standard form Slope from linear standard form Slope-intercept and standard form Algebra 1 Unit 9: Systems of Linear Equations Test solutions to systems of equations Systems of equations with graphing Systems of equations with elimination Systems of equations with elimination challenge Equivalent systems of equations Systems of equations with substitution Number of solutions to a system of equations graphically Number of solutions to a system of equations algebraically Solve linear systems of equations Systems of equations word problems Age word problems Algebra 1 Unit 14: Introduction to Polynomials Add polynomials Subtract Polynomials Multiply binomials intro Multiply binomials Factors and divisibility Factor monomials Add and subtract polynomials with two variable special products of binomials Multiply monomials Multiply monomials by polynomials special products of binomials (advanced) Multiply binomials by polynomials Algebra 1 Unit 15: Introduction to Polynomial Factorization Factor polynomials: common factor Factor polynomials: quadratic Factor polynomials: quadratic Factor differences of squares methods methods (advanced) Factor special products (advanced) Factor quadratics: leading coefficient = 1 Factor special products (basic) Factor quadratics: leading coefficient ≠1 Factor perfect squares Algebra 1 Unit 16: Quadratic Equations Solve quadratic equations by taking square roots Strategy in solving quadratic equations by taking square roots Solve quadratic equations by factoring (leading coefficient is 1). Solve quadratic equations by factoring (leading coefficient is other than 1). Solve equations by factoring (advanced) Algebra 2 Modified: (Khan v.4.17.2016) STUDENT __________________ Rewrite quadratics as perfect squares Solving quadratic equations by completing the square (leading coefficient is 1) Solving quadratic equations by completing the square (leading coefficient is other than 1) Compare quadratic functions Forms & features of quadratic functions Graph quadratics: standard form Find features of quadratic functions Graph quadratics: all forms Graph a circle from its features Features of a circle from its graph Features of a circle from its standard equation Features of a circle from its expanded equation Graph a circle from its expanded equation Equation of a parabola from its focus and directrix Solve quadratic equations with the quadratic formula Number of solutions of quadratic equations Graph quadratics: vertex form Graph quadratics: factored form Interpret quadratic models Algebra 2 Unit 13: Introduction to Conic Sections Graph a circle from its standard equation Write standard equation of a circle Alg 2 Unit 3: Arithmetic with Polynomials Add polynomials Add and subtract polynomials: two variables Multiplying binomials by polynomials Divide polynomials with remainders: binomial divisors Divide polynomials with remainders Use the Polynomial Remainder Theorem Special products of binomials (advanced) Divide polynomials with remainders: monomial divisors Algebra 2 Unit 4: Polynomial Expressions, Equations, and Functions Expand binomials Factor special products (basic) Factor polynomials: complex numbers End behavior of polynomials Factor quadratics with a leading coefficient of 1 Factor differences of squares Factor quadratic with leading coefficient other than 1. Factor perfect squares Solve quadratic equations: complex solutions Even & odd functions Find zeros of polynomials Factor polynomials: quadratic methods Factor special products (advanced) Zeros of polynomials & their graphs Factor polynomials: quadratic methods (advanced) Prove polynomial identities Positive and negative intervals of polynomials Even & odd polynomials Algebra 2 Unit 6: Rational Expressions, equations, and functions Simplify rational expressions: common monomial factors Multiply and divide rational expressions (advanced) Add and subtract rational expressions Simplify rational expressions: common binomial factors Add and subtract rational expressions: like denominators Nested Fractions Simplify rational expressions (advanced) Add and subtract rational expressions: unlike denominators Equations with one rational expression Multiply and divide rational expressions (basic) Least common multiple Equations with one rational expression (advanced) Multiply and divide rational expressions Add and subtract rational expressions: factored denominators Equations with two rational expressions Algebra 2 Modified: (Khan v.4.17.2016) Recognized direct and inverse variation End behavior of rational functions STUDENT __________________ Rational function points of discontinuity Analyze vertical asymptotes of rational functions Graphs of rational functions Algebra 2 Unit 2: Introduction to Complex Numbers Simplify roots of negative numbers Add and subtract complex numbers Powers of the imaginary unit Parts of complex numbers Classify complex numbers Graphically add and subtract complex numbers Multiply complex numbers (basic) Multiply complex numbers Plot numbers on the complex plane Algebra 2 Unit 7: Exponential Growth and Decay Equivalent forms of exponential expressions Rewrite exponential expressions Solve exponential equations using exponent properties Interpret time in exponential models Construct exponential models Interpret change in exponential models: with manipulation Solve exponential equations using exponent properties (advanced) Interpret change in exponential models: changing units Interpret change in exponential models Linear vs. exponential growth: from data Algebra 2 Unit 8: Exponential and Logarithmic Functions Evaluate logarithms Use the logarithm change of base rule Evaluate logarithms (advanced) Solve exponential equations using logarithms (base-10 and base-e) Relationship between exponentials and logarithms Solve exponential equations using logarithms (base-2 and other bases) Use the properties of logarithms Exponential model word problems Evaluate logarithms: change of base rule Graphs of exponential functions Graphs of logarithmic functions Algebra 2 Unit 10: Advanced Equations and Functions Interpret equations graphically Interpret equations graphically Interpret equations graphically Interpret equations graphically Interpret equations graphically