Unit Titles 
Unit 1: Families of Functions
Unit 2: Systems of Linear Equations and Inequalities

Unit 3: Introduction to Quadratic Functions
Unit 4: Applications of Quadratic Functions

Unit 5: Polynomial and Radical Functions
Unit 6: Exponential Functions

Unit 7: Rational Equations and Functions
Unit 8: Trigonometry and Probability

Learning Outcomes
(grade level expectations or standards)

 Identify and sketch the graph of the parent functions
 Determine the domain and range of each parent function
 Describe the effect of horizontal and vertical phase shifts
 Describe the effect of the lead coefficient on the graph
 Given the parent function, apply given transformations
 Given the transformation, determine the representative equation
 Determine the zeros of functions and describe how they relate to equations
 Solve absolute value equations
 Graphs piecewise, absolute value and greatest integer functions
 Identify intervals of increasing, decreasing, constant, concave up and concave down
 Solve all systems of linear equations graphically, algebraically, and with matrices
 Graph linear inequalities
 Describe the number of solutions to a systems problem as unique, infinite, or nonexistent
 Calculate and graph the inverse of linear functions
 Solve systems of linear inequalities algebraically and graphically
 Solve linear programming problems
 Model and solve other real life problems with more than one variable

 Define quadratic functions
 Graph quadratic functions manually and with technology
 Identify domain and range of quadratic functions
 Completely analyze the graph of a quadratic function with regards to domain and range; x and y intercepts; vertex; line of symmetry; intervals of increasing and decreasing; and concavity
 Solve quadratic equations using factoring, completing the square, quadratic formula, and graphically
 Derive the quadratic formula by completing the square
 Calculate the descriminant and use descriminant to describe roots
 Define the family of complex numbers
 Perform operations on complex numbers
 Identify complex roots of quadratic functions
 Solve and graph quadratic inequalities
 Write quadratic functions in standard, intercept and vertex forms
 Graph quadratic functions and describe from parent functions
 Identify a quadratic function from its graph
 Model real world data with quadratic functions
 Solve real world problems that can be modeled with quadratic functions, included, but limited to profit, velocity, area

 Define a polynomial function
 Completely analyze the graph of a polynomial function with regards to domain, range, x and y intercepts, zero’s, intervals of increasing and decreasing, concavity
 Find zero’s of a polynomial function algebraically
 Solve polynomial equations graphically and algebraically
 Perform operations with polynomials
 Perform transformations on the graphs of polynomial functions and identify the new function
 Model data with polynomial functions
 Solve real world problems that can be modeled with polynomial functions
 Define a radical function
 Completely analyze the graph of a radical function with regards to domain, range, x and y intercepts, zero’s, intervals of increasing and decreasing, concavity
 Find zero’s of a radical function algebraically
 Perform transformations on the graphs of radical functions and identify the new function
 Solve radical equations graphically and algebraically
 Perform operations with radicals
 Model data with radical functions
 Solve real world problems that can be modeled with radical functions
 Define an exponential function
 Completely analyze the graph of a exponential function with regards to domain, range, x and y intercepts, zero’s, intervals of increasing and decreasing, concavity
 Find zero’s of an exponential function algebraically
 Perform transformations on the graphs of exponential functions and identify the new function
 Calculate and graph the inverse of exponential functions
 Solve exponential equations graphically and algebraically
 Model data with exponential functions
 Solve real world problems that can be modeled with exponential functions

 Define a rational function
 Completely analyze the graph of a rational function with regards to domain, range, x and y intercepts, zero’s, intervals of increasing and decreasing, concavity
 Find zero’s of a rational function algebraically
 Perform transformations on the graphs of rational functions and identify the new function
 Solve rational equations graphically and algebraically
 Model data with rational functions
 Solve real world problems that can be modeled with rational functions
 Develop trigonometric ratios from the right triangles
 Solve problems using trigonometric ratios (distance, angle of elevation)
 Analyze the graphs of the trigonometric functions
 Convert angle measures (degrees to radians, radians to degrees)
 Express trig ratios in both radians and degrees
 Graph the trigonometric functions (sin x, cos x & tan x)
 Use the Pythagorean theorem to develop the trigonometric identities
 Identify and apply trigonometric identities
 Identify and apply the inverse trigonometric identities
 Use the trigonometric identities to solve real world problems

Significant Task
(names only)

Linear Systems: Using Graphs and Tables
Linear Systems: Using Algebra
Maximizing Your Efforts

Exploring the Vertex Form of the Quadratic Function
Rocket Science

Exploring the Exponential Function 
Math TODAY: Humidity Makes Air Feel Hotter III
Hurricane Hunters: Tracking Katrina and Rita

Content
Supporting Materials
(text, calcs, manips)

Text
Visual Aids
Graphing Calculators
Graph paper

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Visual Aids
Graphing Calculators
Graph paper

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Visual Aids
Graphing Calculators
Graph paper

Text
Visual Aids
Graphing Calculators
Graph paper
