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Killian/Toturgul Intermediate Algebra Curriculum 2010-2011 Unit 1: Foundational Concepts and Linear Equations Extra material: Review of fractions and factor label conversions Book Section 1.3 – Solving linear equations with Section 1.1 included (classify answers, find uses of properties: commutative, associative, distributive) Section 1.2 – Simplifying and evaluating expressions. Also includes properties review from Section 1.1 1.4 – Literal equations and formulas 5.1 – Exponent Rules, Monomials and Scientific Notation Unit 2: Word Problems Percents, consecutive integers, perimeter, coin, travel, investment mix Section 1.5 plus extra material Unit 3: Inequalities and Absolute Value 1.6 – Inequalities 1.7 – Absolute value Extra material on interval notation Unit 4: Linear Equations and Introduction to Functions 2.1 – Introduction to functions, Domain and Range, tests for a function 2.2 -2.4 Slope, graphing lines, writing equations of lines 2.8 – Graphing inequalities 2.6 – Scatter plots, correlation, regression Unit 5: Systems of Equations 3.1-3.2 – Solving systems of 2 equations in 2 unknowns graphically, using substitution, and using elimination, including extra material on word problems 3.4 – 3 equations in 3 unknowns algebraically and using matrices on the calculator, including word problems 3.3 – Systems of inequalities MIDTERM EXAM Unit 6: Function Operations and Trigonometry 5.3 – Polynomial Operations 6.3-6.4 plus extra material on function operations, composition, and inverse functions p. 130 Extension: Piecewise functions 13.1 – Trigonometry HSPA Review and HSPA Test Unit 7: Factoring, Quadratic Equations, and Graphs Extra material on factoring: GCF and simple monomial, difference of perfect squares, grouping, leading coefficient 1 4.3 and 4.4 – Solving by Factoring 4.5 – Solving by Square Roots 4.8 – Solving using Quadratic Formula, including imaginary numbers and the discriminant. Extra material on adding, subtracting, and multiplying imaginary numbers Unit 8: Nonlinear graphs 4.1 and 2.7 – Graphing parabolas and absolute value functions: vertex coordinates, vertex form of the equation and function transformations, domain and range 5.2 (partial) – Graph polynomial functions on the calculator. Identify number of zeros, far right/far left behavior. Identify x and y intercepts from the equation (xintercepts if the equation is in factored form). 8.2 (partial) – Rational function graphs, graphing with a calculator, domain and the equations of vertical asymptotes Unit 9: Roots and Radicals Extra material: square root simplification, including rationalizing the denominator and simplifying using i. 6.1 – Definition of a rational (fractional) exponent, simplifying higher order radicals, taking roots 6.2 – Exponent properties applied to rational exponents 6.6 – Radical equations, including extraneous solutions and checking solutions Unit 10: Exponential Functions 7.1-7.2 Writing equations from verbal descriptions and compound interest, computing growth rate, graphing exponential growth and decay FINAL EXAM Please Note: At least one project will be assigned each marking period that will focus on writing and/or the application of learned material, as well as use of the computer.