FP Unit (Khan v.11.16.2015) STUDENT ___________________ Algebra 1 Unit 11: Introduction to Polynomials 1 2 3 4 5 6 7 8 Algebra 1 Unit 12: Introduction to Polynomial Factorization 1 2 3 4 5 6 7 8 9 10 11 12 Algebra 1 Unit 13: Quadratic Equations and Functions 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 Algebra 1 Unit 14: Expressions with Rational Exponents and Radicals 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 Algebra 2 Unit 6: Rational Expressions, Equations, and Functions 1 2 3 4 5 6 7 8 9 CUNY Prep then COMPASS TEST 10 11 12 13 14 15 16 17 18 FP Unit (Khan v.11.16.2015) STUDENT ___________________ Algebra 1 Unit 9: Introduction to Polynomials Add and subtract polynomials with one variable Add and subtract polynomials with two variable Multiply monomials by monomials Multiply binomials by polynomials Find special products of binomials (basic) Find special products of binomials (advanced) Multiply monomials by polynomials Multiply binomials by binomials Algebra 1 Unit 10: 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 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 Factor polynomials with special product forms Algebra 1 Unit 11: Quadratic Equations and Functions Solve quadratics by taking the square root Understand the process for solving quadratic equations Solve factorable quadratic equations (leading coefficient is 1). Solve factorable quadratic equations (leading coefficient is other than 1). Solve quadratic equations by using structure. Rewrite quadratic expressions 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) Solve quadratic equations using the quadratic formula Determine the number of solutions of a quadratic equation Identify and use the different forms of quadratic functions Graph functions in vertex form Find features of quadratic functions Graph quadratic functions in all forms Compare properties of quadratic functions Shift and scale parabolas Graph quadratic functions in standard form Interpret quadratic models Graph quadratic functions in factored form FP Unit (Khan v.11.16.2015) STUDENT ___________________ Algebra 1 Unit 12: Exponent expressions and equations Unit-fraction exponents and radicals Rational exponents and radicals Single-step simplification of radical expressions Multi-step simplification of rational exponent expressions Simplify numerical radical terms Add, subtract, multiply, and divide numerical radical terms Simplify numerical radical expressions with multiple terms Algebra 2 Unit 3: Polynomial Expressions, Equations, and Functions Factoring quadratics with a leading coefficient of 1 Solving quadratics by factoring Factoring polynomials using quadratic methods Solving quadratics by factoring 2 Factoring simple special products Factoring difference of squares Factoring polynomials with special product forms Solving quadratics by taking the square root Solving quadratics by completing the square 1 Solving quadratics by completing the square 2 Using the quadratic formula Factoring quadratics with a leading coefficient other than 1 Quadratic formula with complex solutions Solutions to quadratic equations Using zeros to graph polynomials Graphs of polynomials Binomial theorem Advanced structure in expressions The fundamental theorem of algebra Algebra 2 Unit 6: Rational Expressions, Equations, and Functions Simplify rational expressions by canceling monomial factors Simplify rational expressions by canceling binomial factors Simplify rational expressions using advanced factorization methods Multiply and divide advanced rational expressions Add and subtract rational expressions with the same denominator Solve equations with one rational expression (basic) Add and subtract rational expressions with relatively prime denominators Solve equations with one rational expression (advanced) Match graphs of rational functions to their formula Add and subtract rational expressions by finding the least common multiple Determine the end behavior of rational functions Identify and analyze discontinuities of rational functions Multiply and divide rational expressions with monomial numerators and denominators Least common multiple Solve equations with two rational expressions Multiply and divide rational expressions with polynomial numerators and denominators Add and subtract rational expressions with factored denominators Distinguish between direct and inverse variation