Learn Math with Anna

Unit 1: Polynomial & Rational Functions1.1 Linear and quadratic patterns 1.2 Recursive vs explicit forms 1.3 Arithmetic sequences 1.4 Geometric sequences 1.5 Using functions to model patterns 1.6 End behavior of polynomials 1.7 Identifying polynomial functions 1.8 Adding, subtracting, and multiplying polynomials 1.9 Factoring polynomials 1.10 Zeros of polynomial functions 1.11 Multiplicity of roots 1.12 The Remainder Theorem 1.13 The Factor Theorem 1.14 Rational expressions and simplification 1.

Unit 3: Trigonometric & Polar Functions Topic 3.1: Periodic Phenomena & Intro to Trig3.1 Angle measurement (degrees vs radians) 3.2 Arc length 3.3 Unit circle structure 3.4 Definition of sine & cosine 3.5 Sine & cosine values on the unit circle 3.6 Symmetry & periodicity 3.7 Tangent and reciprocal trig functions Topic 3.2: Trigonometric Functions3.8 Graphing sine & cosine 3.9 Amplitude & midline 3.10 Period & frequency 3.11 Phase shift 3.12 Putting together all transformations 3.13 Graphing tang

Topics Included: Unit 1: Polynomial & Rational FunctionsTopic 1.1: Patterns & operations with sequences1.1 Linear and quadratic patterns 1.2 Recursive vs explicit forms 1.3 Arithmetic sequences 1.4 Geometric sequences 1.5 Using functions to model patterns Topic 1.2: Polynomial Functions & Operations1.6 End behavior of polynomials 1.7 Identifying polynomial functions 1.8 Adding, subtracting, and multiplying polynomials 1.9 Factoring polynomials 1.10 Zeros of polynomial functions 1.11 Multiplicity

Unit 2: Exponential & Logarithmic FunctionsTopic 2.1: Exponential Functions2.1 Structure of exponential functions 2.2 Exponential growth & decay 2.3 Growth factor & decay factor 2.4 Continuous growth (Euler’s number) 2.5 Applications of exponential modeling 2.6 Transformations of exponential functions 2.7 Exponential equations Topic 2.2: Logarithmic Functions2.8 Introduction to logarithms 2.9 Properties of logs (product, quotient, power) 2.10 Change of base formula 2.11 Logarithmic models 2.12 L

Unit 4: Functions & ModelingTopic 1: Function Characteristics4.1 Function notation & structure 4.2 Average rate of change 4.3 Domain & range 4.4 Composition of functions 4.5 Inverse functions 4.6 Even & odd functions Topic 2: Transformations of Functions4.7 Vertical & horizontal shifts 4.8 Reflections 4.9 Stretching & compressing 4.10 Combined transformations 4.11 Piecewise functions Topic 3: Function Families & Modeling4.12 Linear vs nonlinear models 4.13 Polynomial models 4.14 Rational models