1: Patterns and functional relationships can be represented and analyzed using a variety of strategies, tools and technologies.

1.1: Understand and describe patterns and functional relationships.

1.1.a: Describe relationships and make generalizations about patterns and functions.

Arithmetic Sequences
Arithmetic and Geometric Sequences
Finding Patterns
Geometric Sequences
Linear Functions
Points, Lines, and Equations

1.2: Represent and analyze quantitative relationships in a variety of ways.

1.2.a: Represent and analyze linear and nonlinear functions and relations symbolically and with tables and graphs.

Absolute Value with Linear Functions
Arithmetic Sequences
Compound Interest
Exponential Functions
Introduction to Exponential Functions
Introduction to Functions
Linear Functions
Point-Slope Form of a Line
Points, Lines, and Equations
Quadratics in Factored Form
Quadratics in Polynomial Form
Quadratics in Vertex Form
Radical Functions
Slope-Intercept Form of a Line
Standard Form of a Line

1.3: Use operations, properties and algebraic symbols to determine equivalence and solve problems.

1.3.a: Manipulate equations, inequalities and functions to solve problems.

Addition and Subtraction of Functions
Circles
Compound Inequalities
Exploring Linear Inequalities in One Variable
Linear Inequalities in Two Variables
Modeling One-Step Equations
Modeling and Solving Two-Step Equations
Solving Algebraic Equations II
Solving Equations on the Number Line
Solving Linear Inequalities in One Variable

2: Quantitative relationships can be expressed numerically in multiple ways in order to make connections and simplify calculations using a variety of strategies, tools and technologies.

2.1: Understand that a variety of numerical representa-tions can be used to describe quantitative relation-ships.

2.1.a: Extend the understanding of number to include integers, rational numbers and real numbers.

Rational Numbers, Opposites, and Absolute Values

2.2: Use numbers and their properties to compute flexibly and fluently, and to reasonably estimate measures and quantities.

2.2.b: Solve proportional reasoning problems.

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

3: Shapes and structures can be analyzed, visualized, measured and transformed using a variety of strategies, tools and technologies.

3.1: Use properties and characteristics of two- and three-dimensional shapes and geometric theorems to describe relationships, communicate ideas and solve problems.

3.1.a: Investigate relationships among plane and solid geometric figures using geometric models, constructions and tools.

Classifying Quadrilaterals

3.1.b: Develop and evaluate mathematical arguments using reasoning and proof.

Biconditional Statements

3.2: Use spatial reasoning, location and geometric relationships to solve problems.

3.2.a: Verify geometric relationships using algebra, coordinate geometry, and transformations.

Circles
Dilations
Reflections
Rotations, Reflections, and Translations
Translations

3.3: Develop and apply units, systems, formulas and appropriate tools to estimate and measure.

3.3.a: Solve a variety of problems involving 1-, 2- and 3-dimensional measurements using geometric relationships and trigonometric ratios.

Classifying Quadrilaterals
Cosine Function
Sine Function
Sine, Cosine, and Tangent Ratios
Tangent Function

4: Data can be analyzed to make informed decisions using a variety of strategies, tools and technologies.

4.1: Collect, organize and display data using appropriate statistical and graphical methods

4.1.a: Create the appropriate visual or graphical representation of real data.

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

4.3: Understand and apply basic concepts of probability.

4.3.a: Understand and apply the principles of probability in a variety of situations.

Probability Simulations