Math 3 Unit Check List
Unit 1- Probability
_____ Normal Distribution
- Mean
- Standard Deviation
- Z-Score
- Probability using normalcdf (Min, Max, Mean, SD)
- Invnorm
_____ Sampling
- Difference between Survey, Observational Study, and Experiment
- Types of Sampling: Simple Random Sample, Stratified Random Sample, Systematic Random, Convenience, Cluster, Voluntary
- Types of Bias
_____ Estimating Population
- Margin of Error
- Simulations
Unit 2- Linear Functions
_____ Systems of Equations
-Solutions are intersections of a graph
-Solve f(x) = g(x) by graphing
_____ Linear Programming
_____ Angles Formed by Parallel Lines and a Transversal
- Corresponding
- Alternate Interior and Exterior
- Same Side Interior and Exterior
____Parallelograms
- Properties
Unit 3- Polynomial Functions
____Classifying Polynomials
- Number of Terms: Monomial, Binomial, Trinomial, etc
- Degree: Constant, Linear, Quadratic, Cubic, Quartic, Quintic, etc.
____Adding & Subtracting Polynomials
____End Behavior of a Polynomial
____Zero’s of a Polynomial (What this means, and how to find)
____Multiplying Polynomials
____Dividing Polynomials (long division)
____Factoring (all types listed below)
- GCF
- A = 1
- A not = 1
- Special Cases
____Complex Numbers (i)
____Complete the square
____Vertex Form
____Solving Polynomials (by factoring, complete the square, vertex form)
Unit 4- Rational Expressions
____Inverse Variation
- y = k/x
- Word Problems
____Graphing
- Asymptotes
- Holes
- Branches
____Asymptotes and Holes
- Identifying Horizontal and Vertical Asymptotes from an expression
- Stating the Domain and Range
____Simplifying Expressions
- Factoring
____Multiplying Rational Expressions
____Dividing Rational Expressions
____Adding/Subtracting Rational Expressions
____Solving Rational Expressions
- Multiplying by Least Common Denominator
Unit 5- Advanced Functions
____Sequences
- Arithmetic
- Geometric
____Series
- Arithmetic
- Finite Geometric
- Infinite Geometric (convergent vs. divergent)
- Summation Notation
____Exponential Functions
____Log Properties
- Product Property
- Quotient Property
- Power Property
____Solving Exponentials and Logs
- Solving Logarithmic Equations by converting to Exponential Form
- Solving Exponential Equations by converting to Logarithm Form
- Word Problems
____Inverse Functions
Unit 6- Trigonometry
____Trigonometric Functions- Graph sine and cosine functions showing period, midline, and amplitude, and vertical shift.
- Convert radians to degrees and degrees to radians.
- Create trigonometric functions to model periodic graphs with specified amplitude, frequency, and midline.
____Triangles and Similarity
- Given two figures, use the definition of similarity to decide if they are similar.
- Use the properties of similarity transformations to establish the AA Similarity criterion for two triangles to be similar.
- Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures.
____Circles
- Identify and describe relationships among inscribed angles, radii, and chords.
- The relationship between central, inscribed, and circumscribed angles.
- Inscribed angles that intercept the endpoints of a diameter are right angles.
- The radius of a circle is perpendicular to the tangent where the radius intersects the circle.
- Complete the square to find the center and radius of a circle given by an equation.