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Asking when two functions have the same value for the same input leads to an equation; graphing the two functions allows for finding approximate solutions of the equation. Converting a verbal description to an equation, inequality, or system of these is an essential skill in modeling. Equations and inequalities. Algebra Overview Seeing Structure in Expressions Interpret the structure of expressions Write expressions in equivalent forms to solve problems Arithmetic with Polynomials and Rational Functions Perform arithmetic operations on polynomials Understand the relationship between zeros and factors of polynomials Use polynomial identities to solve problems Rewrite rational functions Creating Equations Create equations that describe numbers or relationships Reasoning with Equations and Inequalities Understand solving equations as a process of reasoning and explain the reasoning Solve equations and inequalities in one variable Solve systems of equations Represent and solve equations and inequalities graphically Mathematical Practices Make sense of problems and persevere in solving them.
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Construct viable arguments and critique the reasoning of others. Model with mathematics. Use appropriate tools strategically. Attend to precision. Synthetic division of polynomials : Arithmetic with polynomials Practice dividing polynomials with remainders : Arithmetic with polynomials Polynomial Remainder Theorem : Arithmetic with polynomials. The binomial theorem : Polynomials Understanding the binomial theorem : Polynomials Factoring polynomials - Quadratic forms : Polynomials Factoring polynomials - Special product forms : Polynomials Advanced polynomial factorization methods : Polynomials Proving polynomial identities : Polynomials Polynomial identities with complex numbers : Polynomials.
Quadratic equations with complex numbers : Polynomials The Fundamental Theorem of Algebra : Polynomials Finding zeros of polynomials : Polynomials Zeros of polynomials and their graphs : Polynomials End behavior of polynomial functions : Polynomials Graphs of polynomials : Polynomials Introduction to symmetry of functions : Polynomials Symmetry of polynomial functions : Polynomials. Radical relationships. Solving square-root equations : Radical relationships Extraneous solutions of radical equations : Radical relationships Solving cube-root equations : Radical relationships.
Domain of radical functions : Radical relationships Graphs of radical functions : Radical relationships. Rational relationships. Direct and inverse variation : Rational relationships End behavior of rational functions : Rational relationships Discontinuities of rational functions : Rational relationships Graphs of rational functions : Rational relationships Modeling with rational functions : Rational relationships.
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Introduction to radians : Trigonometry The unit circle definition of sine, cosine, and tangent : Trigonometry The graphs of sine, cosine, and tangent : Trigonometry Basic trigonometric identities : Trigonometry Trigonometric values of special angles : Trigonometry. The Pythagorean identity : Trigonometry Introduction to amplitude, midline, and extrema of sinusoidal functions : Trigonometry Finding amplitude and midline of sinusoidal functions from their formulas : Trigonometry Period of sinusoidal functions : Trigonometry Graphing sinusoidal functions : Trigonometry Constructing sinusoidal functions : Trigonometry.
Geometric sequences : Series Finite geometric series : Series Finite geometric series applications : Series. Mastery unavailable.