Old Honors Math 3 Notes

Unit 1: Functions

• HW Packet
• Solve Systems of Equations
• Solve Systems of Inequalities
• Absolute Value
• Inverses
• Inverses & Function Operations
• Compositions of Functions
• Piecewise

Unit 2: Exponents and Logarithms

• HW Packet
• Simplify Exponential Expressions
• Exponential and logarithmic form, Properties of logs, Change of base
• Expand and condense logarithms, Solve exponential and logarithmic equations
• Solve exponential and logarithmic equations
• Graphs of exponential and logarithmic functions
• Growth and decay
• Compound interest
• Mixed applications

Unit 3: Polynomials

• HW Booklet
• Polynomial Long Division
• Synthetic Division, Remainder & Factor Theorems
• Zeros & Multiplicity, End Behavior
• Function Analysis
• Transformations of Polynomial Functions
• Solve Polynomial Equations
• Write Polynomial Roots & Applications
• Average Rates of Change

Unit 4: Rationals

• HW Booklet
• Factoring
• Simplifying Rational Expressions
• Multiply and Divide Rational Expressions
• Add and Subtract Rational Expressions with common denominator
• Add and Subtract Rational Expressions
• Solve Rational Equations
• Solve Rational Expressions
• Graph Rational Functions

Unit 5: Modeling with Geometry

• HW Packet
• Helpful links for Geometry
• Surface Area & Volume

Unit 6: Reasoning with Geometry

• HW Packet
• Geometric Properties
• Triangle Centers
• Triangle Proofs
• Parallelogram properties and proofs
• Quadrilateral Proofs
• Quadrilateral Proofs

Unit 7: Circles

• HW Packet
• Tangent Lines
• Chords and Arcs
• Inscribed Angles
• Arcs and Segments
• Arc Length and Area of a Sector

Unit 8: Trigonometry

• HW Packet
• Equations of a circle
• Angles and their measure
• Right triangle trig
• Unit Circle
• Graphs of Sine and Cosine
• Applications

Unit 9: Statistics

• HW Booklet
• Statistics Powerpoint
• Simulations