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: understand and compare the properties of linear, quadratic, exponential, logarithmic, rational and periodic functions (include asymptotes)

Addition and Subtraction of Functions
Exponential Functions
General Form of a Rational Function
Linear Functions
Logarithmic Functions

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

Introduction to Exponential Functions

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 and logarithmic relationships, including recursive and parametric relationships

Compound Interest
Exponential Functions
Introduction to Exponential Functions
Logarithmic Functions

A.2.B: describe and use algebraic manipulations, including inverse of functions, composition of functions and rules of exponents

Dividing Exponential Expressions
Multiplying Exponential Expressions
Simplifying Algebraic Expressions II

A.2.C: use and solve equivalent forms of equations and inequalities (exponential, logarithmic and rational)

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.B: determine the effect on surface area or volume of changing one measurement

Surface and Lateral Areas of Prisms and Cylinders

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

G.3.B: perform simple transformations and their compositions on linear, quadratic, logarithmic and exponential functions

Absolute Value with Linear Functions
Introduction to Exponential Functions
Translations

M: Measurement

M.2: Apply appropriate techniques, tools and formulas to determine measurements

M.2.B: solve problems of angle measure of parallel lines cut by a transversal

Triangle Angle Sum

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.A: describe the characteristics of well designed studies, including the role of randomization in survey and experimental research

Polling: City
Polling: Neighborhood

D.1.C: display and analyze bivariate data where one variable is categorical and the other is numerical

Correlation

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

D.2.C: create a scatter plot, describe its shape, determine and analyze regression equations

Correlation
Least-Squares Best Fit Lines
Solving Using Trend Lines
Trends in Scatter Plots

D.3: Develop and evaluate inferences and predictions that are based on data

D.3.A: describe how sample statistics reflect the values of population parameters and use sampling distributions as the basis for informal reference

Polling: City
Polling: Neighborhood
Populations and Samples

D.4: Understand and apply basic concepts of probability

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

Binomial Probabilities
Independent and Dependent Events