N: Number and Operations

N.1: Understand numbers, ways of representing numbers, relationships among numbers and number systems

N.1.A: compare and order rational and irrational numbers, including finding their approximate locations on a number line

Comparing and Ordering Decimals
Rational Numbers, Opposites, and Absolute Values

N.2: Understand meanings of operations and how they relate to one another

N.2.D: apply operations to matrices and complex numbers, using mental computation or paper-and-pencil calculations for simple cases and technology for more complicated cases

Points in the Complex Plane
Translations

N.3: Compute fluently and make reasonable estimates

N.3.E: solve problems involving proportions

Beam to Moon (Ratios and Proportions)
Direct and Inverse Variation
Estimating Population Size
Geometric Probability
Part-to-part and Part-to-whole Ratios

A: Algebraic Relationships

A.1: Understand patterns, relations and functions

A.1.B: generalize patterns using explicitly or recursively defined functions

Arithmetic Sequences
Geometric Sequences

A.1.D: compare properties of linear, exponential, logarithmic and rational functions

Exponential Functions
General Form of a Rational Function
Linear Functions
Logarithmic Functions

A.1.E: describe the effects of parameter changes on functions

Absolute Value with Linear Functions
Introduction to Exponential Functions
Points, Lines, and Equations
Translating and Scaling Functions
Zap It! Game

A.2: Represent and analyze mathematical situations and structures using algebraic symbols

A.2.A: use symbolic algebra to represent and solve problems that involve exponential, quadratic and logarithmic relationships

Addition and Subtraction of Functions
Compound Interest
Exponential Functions
Introduction to Exponential Functions
Logarithmic Functions
Quadratics in Factored Form
Quadratics in Polynomial Form
Quadratics in Vertex Form
Translating and Scaling Functions

A.2.C: use and solve equivalent forms of equations and inequalities

Circles
Modeling the Factorization of x²+bx+c
Solving Algebraic Equations II

A.2.D: use and solve systems of linear and quadratic equations or inequalities with 2 variables

Linear Programming
Solving Equations by Graphing Each Side
Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Slope-Intercept Form)
Solving Linear Systems (Standard Form)
Systems of Linear Inequalities (Slope-intercept form)

A.4: Analyze change in various contexts

A.4.A: analyze exponential and logarithmic functions by investigating rates of change, intercepts and asymptotes

Compound Interest
Exponential Functions
Introduction to Exponential Functions
Logarithmic Functions

G: Geometric and Spatial Relationships

G.1: Analyze characteristics and properties of two- and three-dimensional geometric shapes and develop mathematical arguments about geometric relationships

G.1.A: use trigonometric relationships with right triangles to determine lengths and angle measures

Cosine Function
Sine Function
Sine, Cosine, and Tangent Ratios
Tangent Function

G.3: Apply transformations and use symmetry to analyze mathematical situations

G.3.B: translate, dilate and reflect functions

Absolute Value with Linear Functions
Introduction to Exponential Functions
Rational Functions
Translating and Scaling Functions
Translating and Scaling Sine and Cosine Functions
Translations
Zap It! Game

D: Data and Probability

D.1: Formulate questions that can be addressed with data and collect, organize and display relevant data to answer them

D.1.C: select and use appropriate graphical representation of data and given one-variable quantitative data, describe its shape and calculate summary statistics

Box-and-Whisker Plots
Correlation
Stem-and-Leaf Plots

D.2: Select and use appropriate statistical methods to analyze data

D.2.A: apply statistical measures of center to solve problems

Describing Data Using Statistics
Mean, Median, and Mode
Reaction Time 1 (Graphs and Statistics)

D.4: Understand and apply basic concepts of probability

D.4.A: describe the concepts of sample space and probability distribution

Polling: City

D.4.B: use and describe the concepts of conditional probability and independent events and how to compute the probability of a compound event

Independent and Dependent Events