1: The student will demonstrate the ability to investigate, interpret, and communicate solutions to mathematical and real-world problems using patterns, functions, and algebra.

1.1: The student will analyze a wide variety of patterns and functional relationships using the language of mathematics and appropriate technology.

1.1.1: The student will recognize, describe, and/or extend patterns and functional relationships that are expressed numerically, algebraically, and/or geometrically.

Arithmetic Sequences
Arithmetic and Geometric Sequences
Finding Patterns
Geometric Sequences

1.1.2: The student will represent patterns and/or functional relationships in a table, as a graph, and/or by mathematical expression.

Arithmetic Sequences
Arithmetic and Geometric Sequences
Cosine Function
Cubic Function Activity
Exponential Functions - Activity A
Fourth-Degree Polynomials - Activity A
General Form of a Rational Function
Geometric Sequences
Introduction to Functions
Linear Functions
Logarithmic Functions - Activity A
Logarithmic Functions: Translating and Scaling
Polynomials and Linear Factors
Quadratic and Absolute Value Functions
Quadratics in Factored Form
Quadratics in Polynomial Form - Activity A
Radical Functions
Rational Functions
Sine Function
Slope-Intercept Form of a Line - Activity A
Tangent Function
Using Algebraic Equations
Using Algebraic Expressions
Using Tables, Rules and Graphs

1.1.4: The student will describe the graph of a non-linear function and discuss its appearance in terms of the basic concepts of maxima and minima, zeros (roots), rate of change, domain and range, and continuity.

Cosine Function
Cubic Function Activity
Exponential Functions - Activity A
Fourth-Degree Polynomials - Activity A
Functions Involving Square Roots
General Form of a Rational Function
Introduction to Functions
Logarithmic Functions - Activity A
Logarithmic Functions: Translating and Scaling
Quadratic and Absolute Value Functions
Quadratics in Factored Form
Quadratics in Polynomial Form - Activity A
Radical Functions
Rational Functions
Roots of a Quadratic
Sine Function
Tangent Function
Unit Circle

1.2: The student will model and interpret real-world situations using the language of mathematics and appropriate technology.

1.2.1: The student will determine the equation for a line, solve linear equations, and/or describe the solutions using numbers, symbols, and/or graphs.

Modeling One-Step Equations - Activity A
Modeling and Solving Two-Step Equations
Point-Slope Form of a Line - Activity A
Solving Equations By Graphing Each Side
Solving Two-Step Equations

1.2.2: The student will solve linear inequalities and describe the solutions using numbers, symbols, and/or graphs.

Inequalities Involving Absolute Values
Linear Inequalities in Two Variables - Activity A
Linear Programming - Activity A
Solving Linear Inequalities using Addition and Subtraction
Solving Linear Inequalities using Multiplication and Division
Systems of Linear Inequalities (Slope-intercept form) - Activity A

1.2.3: The student will solve and describe using numbers, symbols, and/or graphs if and where two straight lines intersect.

Defining a Line with Two Points
Modeling Linear Systems - Activity A
Point-Slope Form of a Line - Activity A
Slope-Intercept Form of a Line - Activity A
Solving Equations By Graphing Each Side
Solving Linear Systems by Graphing
Standard Form of a Line
Systems of Linear Equations - Activity A

1.2.4: The student will describe how the graphical model of a non-linear function represents a given problem and will estimate the solution.

Cosine Function
Cubic Function Activity
Exponential Functions - Activity A
Fourth-Degree Polynomials - Activity A
Functions Involving Square Roots
General Form of a Rational Function
Introduction to Functions
Logarithmic Functions - Activity A
Logarithmic Functions: Translating and Scaling
Quadratic and Absolute Value Functions
Quadratics in Factored Form
Quadratics in Polynomial Form - Activity A
Radical Functions
Rational Functions
Sine Function
Tangent Function
Unit Circle

2: The student will demonstrate the ability to solve mathematical and real-world problems using measurement and geometric models and will justify solutions and explain processes used.

2.1: The student will represent and analyze two- and three-dimensional figures using tools and technology when appropriate.

2.1.1: The student will analyze the properties of geometric figures.

Classifying Quadrilaterals - Activity B
Classifying Triangles
Parallelogram Conditions
Special Quadrilaterals

2.1.2: The student will identify and/or verify properties of geometric figures using the coordinate plane and concepts from algebra.

Classifying Triangles

2.1.3: The student will use transformations to move figures, create designs, and/or demonstrate geometric properties.

Dilations
Reflections
Rotations, Reflections and Translations

2.1.4: The student will construct and/or draw and/or validate properties of geometric figures using appropriate tools and technology.

Classifying Triangles
Construct Parallel and Perpendicular Lines
Constructing Congruent Segments and Angles

2.2: The student will apply geometric properties and relationships to solve problems using tools and technology when appropriate.

2.2.1: The student will identify and/or verify congruent and similar figures and/or apply equality or proportionality of their corresponding parts.

Congruence in Right Triangles
Constructing Congruent Segments and Angles
Perimeters and Areas of Similar Figures
Proving Triangles Congruent
Similar Figures - Activity A
Similar Polygons

2.2.3: The student will use inductive or deductive reasoning.

Biconditional Statement
Conditional Statement

2.3: The student will apply concepts of measurement using tools and technology when appropriate.

2.3.2: The student will use techniques of measurement and will estimate, calculate, and/or compare perimeter, circumference, area, volume, and/or surface area of two-and three-dimensional figures and their parts.

Area of Parallelograms - Activity A
Circle: Circumference and Area
Perimeter, Circumference, and Area - Activity B
Prisms and Cylinders - Activity A
Pyramids and Cones - Activity A
Rectangle: Perimeter and Area

3: The student will demonstrate the ability to apply probability and statistical methods for representing and interpreting data and communicating results, using technology when needed.

3.1: The student will collect, organize, analyze, and present data.

3.1.2: The student will use the measures of central tendency and/or variability to make informed conclusions.

Line Plots
Mean, Median and Mode

3.1.3: The student will calculate theoretical probability or use simulations or statistical inferences from data to estimate the probability of an event.

Compound Independent Events
Compound Independent and Dependent Events
Geometric Probability - Activity A
Independent and Dependent Events
Probability Simulations
Theoretical and Experimental Probability

3.2: The student will apply the basic concepts of statistics and probability to predict possible outcomes of real-world situations.

3.2.1: The student will make informed decisions and predictions based upon the results of simulations and data from research.

Probability Simulations

3.2.2: The student will interpret data and/or make predictions by finding and using a line of best fit and by using a given curve of best fit.

Correlation