•  Math III Topics
     

    Unit 1:  Modeling with Geometric Relationships

    • Experiment with transformations in the plane
    • Prove geometric theorems
    • Make geometric constructions
    • Understand similarity in terms of similarity transformations
    • Prove theorems involving similarity
     

     

    Unit 2:  Modeling with Statistical Studies

    • Summarize, represent and interpret data on a single count or measurement variable
    • Understand and evaluate random processes underlying statistical experiments
    • Make inferences and justify conclusions from sample surveys, experiments, and observational studies
    • Use probability to evaluate outcomes of decisions (honors only)

    Intro to Statistics video http://www.youtube.com/watch?v=piSCkkSvoMo 

    Unit 2 video on Sampling Methods  http://www.youtube.com/watch?v=be9e-Q-jC-0
    Power point Notes Study this! 

     More Power point Notes Intro to Statistics

     
     Unit 3:  Modeling Algebraic Competency
    • Use properties of rational and irrational numbers
    • Interpret the structure of expressions
    • Perform arithmetic operations on polynomials
    • Use polynomial identities to solve problems
    • Rewrite rational expressions
    • Build a function that models a relationship between two quantities
     

     

    Unit 4:  Modeling with Quadratic Functions & the Complex Number System

    • Perform arithmetic operations with complex numbers
    • Use complex numbers in polynomial identities and equations
    • Write expressions in equivalent forms to solve problems
    • Understand solving equations as a process of reasoning and explain the reasoning
    • Solve equations and inequalities in one variable
    • Represent and solve equations and inequalities graphically
    • Create equations that describe numbers or relationships
    • Understand the concept of a function and use function notation
    • Interpret functions that arise in applications in terms of the context
    • Analyze functions using different representations
    • Build new functions from existing functions
    • Translate between the geometric description and the equation for a conic section
       Why imaginary numbers    http://www.youtube.com/watch?v=SocNkRRVSsM
       Imaginary numbers love story video http://www.youtube.com/watch?v=36Sd9VhAojg&feature=youtu.be

     Study this:  Unit 4 Power Point

     

    Unit 5:  Modeling with Polynomial & Rational Functions & Equations
    • Understand the relationship between zeros and factors of polynomials
    • Create equations that describe numbers or relationships
    • Understand solving equations as a process of reasoning and explain the reasoning
    • Represent and solve equations and inequalities graphically
    • Understand the concept of a function and use function notation
    • Interpret functions that arise in applications in terms of the context
    • Analyze functions using different representations
    Notes for Unit 5  Study this!

     

    Unit 6:  Modeling with Exponential & Logarithmic Functions

    • Interpret the structure of expressions
    • Create equations that describe numbers or relationships
    • Understand solving equations as a process of reasoning and explain the reasoning
    • Represent and solve equations and inequalities graphically
    • Understand the concept of a function and use function notation
    • Interpret functions that arise in applications in terms of the context
    • Analyze functions using different representations
    • Build a function that models a relationship between two quantities
    • Build new functions from existing functions
    • Build a function that models a relationship between two quantities
    • Construct and compare linear, quadratic and exponential models and solve problems
      Play this game to practice log rules:  http://wncpactivemath.wordpress.com/2013/08/21/logger-logarithm-game/

     

    Unit 7:  More Modeling with Functions

    • Write expressions in equivalent forms to solve problems
    • Create equations that describe numbers or relationships
    • Understand solving equations as a process of reasoning and explain the reasoning
    • Represent and solve equations and inequalities graphically
    • Understand the concept of a function and use function notation
    • Interpret functions that arise in applications in terms of the context
    • Analyze functions using different representations
    • Build a function that models a relationship between two quantities
    • Build new functions from existing functions
    • Build a function that models a relationship between two quantities

     

     

    Unit 8:  Modeling with Trigonometric Functions

    • Create equations that describe numbers or relationships
    • Interpret functions that arise in applications in terms of the context
    • Analyze functions using different representations
    • Extend the domain of trigonometric functions using the unit circle
    • Model periodic phenomena with trigonometric functions
    • Prove and apply trigonometric identities
    • Experiment with transformations in the plane
    • Understand and apply theorems about circles
    • Find arc lengths and areas of sectors of circles
    • Translate between the geometric description and the equation for a conic section
    • Apply geometric concepts in modeling situations