Academic Content Standards
Adding Vectors
Dilations
Translations
Vectors
1.C.2: Apply combinations as a method to create coefficients for the Binomial Theorem, and make connections to everyday and workplace problem situations.
3.A.3: Relate graphical and algebraic representations of lines, simple curves and conic sections.
3.B.1: Use matrices to represent translations, reflections, rotations, dilations and their compositions.
4.A.1: Analyze the behavior of arithmetic and geometric sequences and series as the number of terms increases.
Arithmetic Sequences
Arithmetic and Geometric Sequences
Finding Patterns
Geometric Sequences
4.A.3: Describe and compare the characteristics of transcendental and periodic functions; e.g., general shape, number of roots, domain and range, asymptotic behavior, extrema, local and global behavior.
Cosine Function
Exponential Functions
Sine Function
Tangent Function
Translating and Scaling Functions
Translating and Scaling Sine and Cosine Functions
4.A.4: Represent the inverse of a transcendental function symbolically.
Cosine Function
Logarithmic Functions
Quadratics in Factored Form
Quadratics in Polynomial Form
Roots of a Quadratic
4.C.8: Compare estimates of the area under a curve over a bounded interval by partitioning the region with rectangles; e.g., make successive estimates using progressively smaller rectangles.
4.D.5: Set up and solve systems of equations using matrices and graphs, with and without technology.
Cat and Mouse (Modeling with Linear Systems)
Solving Equations by Graphing Each Side
Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Slope-Intercept Form)
Solving Linear Systems (Standard Form)
5.A.4: Apply the concept of a random variable to generate and interpret probability distributions, including binomial, normal and uniform.
5.B.3: Describe the shape and find all summary statistics for a set of univariate data, and describe how a linear transformation affects shape, center and spread.
Box-and-Whisker Plots
Describing Data Using Statistics
Mean, Median, and Mode
Real-Time Histogram
Stem-and-Leaf Plots
5.C.1: Identify and use various sampling methods (voluntary response, convenience sample, random sample, stratified random sample, census) in a study.
Polling: City
Polling: Neighborhood
Populations and Samples
5.C.5: Use sampling distributions as the basis for informal inference.
Polling: City
Populations and Samples
5.D.6: Use theoretical or experimental probability, including simulations, to determine probabilities in real-world problem situations involving uncertainty, such as mutually exclusive events, complementary events and conditional probability.
Binomial Probabilities
Geometric Probability
Independent and Dependent Events
Probability Simulations
Theoretical and Experimental Probability
Biconditional Statements
Conditional Statements
Correlation last revised: 8/29/2016