MM3A1: Students will analyze graphs of polynomial functions of higher degree.

MM3A1.a: Graph simple polynomial functions as translations of the function f(x) = ax to the n power.

Cubic Function Activity
Fourth-Degree Polynomials - Activity A
Function Machines 2 (Functions, Tables, and Graphs)
Polynomials and Linear Factors
Translating and Scaling Functions

MM3A1.b: Understand the effects of the following on the graph of a polynomial function: degree, lead coefficient, and multiplicity of real zeros.

Cubic Function Activity
Fourth-Degree Polynomials - Activity A
Function Machines 2 (Functions, Tables, and Graphs)
Parabolas - Activity A
Polynomials and Linear Factors
Quadratic and Absolute Value Functions
Quadratics in Factored Form
Quadratics in Polynomial Form - Activity A
Translating and Scaling Functions

MM3A1.c: Determine whether a polynomial function has symmetry and whether it is even, odd, or neither.

Cubic Function Activity
Fourth-Degree Polynomials - Activity A

MM3A1.d: Investigate and explain characteristics of polynomial functions, including domain and range, intercepts, zeros, relative and absolute extrema, intervals of increase and decrease, and end behavior.

Cubic Function Activity
Fourth-Degree Polynomials - Activity A

MM3A2: Students will explore logarithmic functions as inverses of exponential functions.

MM3A2.c: Define logarithmic functions as inverses of exponential functions.

Exponential Functions - Activity A
Exponential Growth and Decay - Activity B
Function Machines 3 (Functions and Problem Solving)
Logarithmic Functions - Activity A
Logarithmic Functions: Translating and Scaling

MM3A2.e: Investigate and explain characteristics of exponential and logarithmic functions including domain and range, asymptotes, zeros, intercepts, intervals of increase and decrease, and rate of change.

Exponential Functions - Activity A
Exponential Growth and Decay - Activity B
Logarithmic Functions - Activity A
Logarithmic Functions: Translating and Scaling

MM3A2.f: Graph functions as transformations of f(x) = a to the x power, f(x) = log of a(x), f(x) = e to the x power, f(x) = ln x.

Exponential Functions - Activity A
Function Machines 2 (Functions, Tables, and Graphs)
Logarithmic Functions - Activity A
Logarithmic Functions: Translating and Scaling
Translating and Scaling Functions

MM3A2.g: Explore real phenomena related to exponential and logarithmic functions including half-life and doubling time.

Exponential Functions - Activity A
Exponential Growth and Decay - Activity B
Function Machines 1 (Functions and Tables)
Function Machines 2 (Functions, Tables, and Graphs)
Function Machines 3 (Functions and Problem Solving)
Half-life
Logarithmic Functions - Activity A
Logarithmic Functions: Translating and Scaling

MM3A3: Students will solve a variety of equations and inequalities.

MM3A3.a: Find real and complex roots of higher degree polynomial equations using the factor theorem, remainder theorem, rational root theorem, and fundamental theorem of algebra, incorporating complex and radical conjugates.

Dividing Polynomials Using Synthetic Division
Factoring Special Products
Modeling the Factorization of ax²+bx+c
Modeling the Factorization of x²+bx+c
Roots of a Quadratic

MM3A3.c: Solve polynomial, exponential and logarithmic inequalities analytically, graphically, and using appropriate technology. Represent solution sets of inequalities using interval notation.

Solving Linear Inequalities using Addition and Subtraction
Solving Linear Inequalities using Multiplication and Division

MM3A3.d: Solve a variety of types of equations by appropriate means choosing among mental calculation, pencil and paper, or appropriate technology.

Modeling and Solving Two-Step Equations
Solving Two-Step Equations

MM3A5: Students will use matrices to formulate and solve problems.

MM3A5.c: Represent and solve realistic problems using systems of linear equations.

Modeling Linear Systems - Activity A
Solving Linear Systems by Graphing
Special Types of Solutions to Linear Systems
Systems of Linear Equations - Activity A

MM3A6: Students will solve linear programming problems in two variables.

MM3A6.a: Solve systems of inequalities in two variables, showing the solutions graphically.

Modeling Linear Systems - Activity A
Systems of Linear Inequalities (Slope-intercept form) - Activity A

MM3A6.b: Represent and solve realistic problems using linear programming.

Linear Programming - Activity A

MM3G1: Students will investigate the relationships between lines and circles.

MM3G1.a: Find equations of circles.

Circles

MM3G1.b: Graph a circle given an equation in general form.

Circles

MM3G1.d: Solve a system of equations involving a circle and a line.

Circles

MM3G1.e: Solve a system of equations involving two circles.

Circles

MM3G2: Students will recognize, analyze, and graph the equations of the conic sections (parabolas, circles, ellipses, and hyperbolas).

MM3G2.b: Graph conic sections, identifying fundamental characteristics.

Circles
Ellipse - Activity A
Hyperbola - Activity A
Parabolas - Activity A

MM3G2.c: Write equations of conic sections given appropriate information.

Circles
Ellipse - Activity A
Hyperbola - Activity A
Parabolas - Activity A

MM3G3: Students will investigate planes and spheres.

MM3G3.b: Apply the distance formula in 3-space.

Distance Formula - Activity A
Geoboard: The Pythagorean Theorem
Pythagorean Theorem - Activity A
Pythagorean Theorem - Activity B

MM3D1: Students will create probability histograms of discrete random variables, using both experimental and theoretical probabilities.

Geometric Probability - Activity A
Histograms
Populations and Samples
Probability Simulations
Theoretical and Experimental Probability