1 st Grading Period (8 weeks) Linear Equations Algebra I Review (A.3A,A.4B) Properties of real numbers Simplifying expressions Simplifying Radicals New -Transforming functions (A.7C) Moving the Monster Activity Parent functions (2A.4A, 2A.1A, 2A.4B, 2A.1B, 2A.6B) Solving linear equations and inequalities (A.7A) Linear Functions Algebra 1 Review (A.5C, A.7A, A.7B, A.7C) Slope Graphing, writing linear functions Linear inequalities Transforming linear functions (2A.4A, 2A.4B, 2A.6C) Shifts Vertical/Horizontal Stretch and Compression Inverse relations and functions (2A. 4C) Algebraically Graphically Variation functions (2A.10B, 2A.10D, 2A.10G) Direct, Inverse, and Joint Curve fitting with linear models (2A.1B) Solving absolute value equations (2A.4A) Inequalities (2A.6F) Absolute value functions (2A.4A, 2A.2B, 2A.6D, 2A.6E) Graphs Transformations Linear Systems in Two Dimensions & Matrices Solve linear systems using graphs, tables, and algebraic methods (2A.1A, 2A.3A, 2A.3B, 2A.3C, 2A.4A) Solve systems of linear inequalities (2A.1A, 2A.3A, 2A.3B, 2A.3C, 2A.4A) Matrices and data (2A.1B) Add Subtract Scalar Multiplication Multiplying matrices (2A.1B) Use matrices to solve systems (2A.3A, 2A.3B, 2A.3C) Inverses Determinant
2 nd Grading Period (8 weeks) Polynomials & Factoring Properties of exponents (2A.2A) Polynomial operations(2a.2a) Add and subtract (2A.7B) Multiply Pascal s triangle Synthetic and Long Division (divisor of first and second degree) (2A.7C) Factoring polynomials (2A.2A) Exploring sum and difference of two cubes GCF Quadratic Combines types Grouping Simplify Radicals Operations with radicals (2A.2A, 2A.6B) Add, Subtract, Multiply Rationalize radicals (2A.2A, 2A.7G) Include roots other than square roots Complex number (2A.2A, 2A.2B) Operations with complex numbers (2A.2A) Conjugate Quadratic Functions Properties of quadratics (2A.1A, 2A.6A, 2A.6B,2A.7A, 2A.8A) Solving quadratic equations (2A.2A, 2A.6A, 2A.6B, 2A.6C, 2A.7A, 2A.8A, 2A.8C, 2A.8D, 2A.9G) Graphing Factoring Inverse of quadratic function Semester Review and Exam
3 rd Grading Period (10 weeks)* Quadratic Functions Completing the square (2A.2A, 2A.5E, 2A.6B, 2A.6C, 2A.7A, 2A.8A, 2A.8C, 2A.8D) - Standard to vertex form Quadratic formula (2A.2B, 2A.5E, 2A.6A, 2A.6B, 2A.8A, 2A.8B, 2A.8C, 2A.8D, 2A.4G) - Using discriminant Finding quadratic equations from roots (2A. 6C) - Sum and Product rule Using transformations (2A.4A, 2A.4B, 2A.6B, 2A.7B) - Standard form - Vertex form Solving quadratic inequalities (2A.2A, 2A.6A, 2A.8A, 2A.8B, 2A.8D) Radicals and Rational Exponents Simplify and use rational exponents (2A.2A, 2A.7G) Radical functions (2A.1A, 2A.9A, 2A.9B, 2A.9E, 2A.9F, 2A.9G) - Investigate inverse of function Solve radical equations and inequalities (2A.2A, 2A. 9B, 2A. 9C, 2A.9D, 2A.9E, 2A.9F) - Equations with rational exponents (2A.7H) - Equations with indices other than 2 Rational Functions Graph rational functions - RATEY Investigate inverse variation(2a.1a, 2A.2A, 2A.4A, 2A.4B, 2A.9G, 2A.10A, 2A.10B, 2A.10C) Operations with rational expressions (2A.2A, 2A.10B, 2A.10D, 2A.10G, 2A.7F) - Multiply and divide - Complex fractions - Add and subtract Solve rational equations and inequalities (2A.2A, 2A.10A, 2A.10B, 2A.10D, 2A.10E, 2A.10F)
4 th Grading Period (10 weeks)* High Order Polynomials Operations with functions (PRE-CALC Preview) - Composition of Functions (f(g(x)), g(f(x))) (2A.2D) Solve using quadratic method (2A.2A) - Factoring Identify and graph higher order polynomials (2A.2A) - Min and Max - Even and odd functions - End behavior - Root Multiplicity Cubic and Cube Root function (2A.6A) - Parent Function Exponential and Logarithmic Functions Solve and graph logs (2A.4A, 2A.11A) - Converting between log and exponential forms - Inverse - Evaluate logs Properties of logarithms (2A.2A) - Change of base formula Exponential and log equations and inequalities (2A.2A, 2A.11C, 2A.11D, 2A.11E, 2A.11F) Base e and Natural Log (2A.4A, 2A.11A, 2A.11C) Growth and decay (2A.4A, 2A.11B, 2A.11C) Regression models to determine if data is linear, quadratic, or exponential (2A.8A, 2A.8B) Conic Sections Introduction (2A.1A, 2A.2A, 2A.5A, 2A.5B, 2A.5C) - Play-doh (cross-section of cone) Connect conics to graphs (2A.5A, 2A.5B, 2A.5C, 2A.2D) - (Technology) solving equations for y Circles(2A.2A, 2A.5B, 2A.5C, 2A.5D) - graphing - Diameter midpoint as center - Distance formula to find radius - Tangent line Ellipse (2A.2A, 2A.5B, 2A.5C, 2A.5D)
Hyperbolas (2A.2A, 2A.5B, 2A.5C, 2A.5D) Parabolas (2A.2A, 2A.5B, 2A.5C, 2A.5D) Identifying conics (2A.2A, 2A.5C, 2A.5D, 2A.5E, 2A.7B) - Standard to vertex form (completing the square) Applying Conic Sections Solving nonlinear systems(2a.2a, 2A.3A, 2A.3B, 2A.3C, 2A.5D, 2A.5E, 2A.7B), elimination, substitution Semester Review and Exam