Unit 2: Systems of Linear Equations and Inequalities

Unit 4: Applications of Quadratic Functions

Unit 6: Exponential Functions

Unit 8: Trigonometry and Probability

(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

(names only)

Linear Systems: Using Algebra 

Maximizing Your Efforts

Rocket Science

Hurricane Hunters: Tracking Katrina and Rita

Supporting Materials

(text, calcs, manips)

Visual Aids 

Graphing Calculators 

Graph paper

Visual Aids 

Graphing Calculators 

Graph paper

Visual Aids 

Graphing Calculators 

Graph paper

Visual Aids 

Graphing Calculators 

Graph paper