CC.2.1.HS: Numbers and Operations

CC.2.1.HS.F: Number and Quantity

CC.2.1.HS.F.2: Apply properties of rational and irrational numbers to solve real world or mathematical problems.

Estimating Population Size
Rational Numbers, Opposites, and Absolute Values

CC.2.1.HS.F.6: Extend the knowledge of arithmetic operations and apply to complex numbers.

Points in the Complex Plane

CC.2.1.HS.F.7: Apply concepts of complex numbers in polynomial identities and quadratic equations to solve problems.

Points in the Complex Plane
Roots of a Quadratic

CC.2.2.HS: Algebraic Concepts

CC.2.2.HS.D: Algebra

CC.2.2.HS.D.1: Interpret the structure of expressions to represent a quantity in terms of its context.

Compound Interest

CC.2.2.HS.D.2: Write expressions in equivalent forms to solve problems.

Dividing Exponential Expressions
Exponents and Power Rules
Modeling the Factorization of ax²+bx+c
Modeling the Factorization of x²+bx+c
Multiplying Exponential Expressions

CC.2.2.HS.D.3: Extend the knowledge of arithmetic operations and apply to polynomials.

Addition and Subtraction of Functions
Addition of Polynomials
Dividing Polynomials Using Synthetic Division

CC.2.2.HS.D.4: Understand the relationship between zeros and factors of polynomials to make generalizations about functions and their graphs.

Polynomials and Linear Factors
Quadratics in Factored Form

CC.2.2.HS.D.7: Create and graph equations or inequalities to describe numbers or relationships.

Absolute Value Equations and Inequalities
Absolute Value with Linear Functions
Comparing and Ordering Decimals
Exploring Linear Inequalities in One Variable
Linear Functions
Linear Inequalities in Two Variables
Modeling One-Step Equations
Quadratics in Polynomial Form
Quadratics in Vertex Form
Solving Equations on the Number Line
Solving Linear Inequalities in One Variable
Using Algebraic Equations

CC.2.2.HS.D.8: Apply inverse operations to solve equations or formulas for a given variable.

Modeling One-Step Equations
Solving Algebraic Equations II
Solving Two-Step Equations

CC.2.2.HS.D.10: Represent, solve, and interpret equations/inequalities and systems of equations/inequalities algebraically and graphically.

Absolute Value Equations and Inequalities
Absolute Value with Linear Functions
Cat and Mouse (Modeling with Linear Systems)
Circles
Compound Inequalities
Exploring Linear Inequalities in One Variable
Linear Inequalities in Two Variables
Linear Programming
Modeling One-Step Equations
Modeling and Solving Two-Step Equations
Parabolas
Point-Slope Form of a Line
Points, Lines, and Equations
Quadratic Inequalities
Quadratics in Polynomial Form
Quadratics in Vertex Form
Radical Functions
Solving Algebraic Equations I
Solving Algebraic Equations II
Solving Equations by Graphing Each Side
Solving Equations on the Number Line
Solving Linear Inequalities in One Variable
Solving Linear Systems (Matrices and Special Solutions)
Solving Linear Systems (Slope-Intercept Form)
Solving Linear Systems (Standard Form)
Standard Form of a Line
Systems of Linear Inequalities (Slope-intercept form)

CC.2.2.HS.C: Functions

CC.2.2.HS.C.1: Use the concept and notation of functions to interpret and apply them in terms of their context.

Absolute Value with Linear Functions
Translating and Scaling Functions

CC.2.2.HS.C.2: Graph and analyze functions and use their properties to make connections between the different representations.

Absolute Value with Linear Functions
Arithmetic Sequences
Exponential Functions
General Form of a Rational Function
Geometric Sequences
Graphs of Polynomial Functions
Introduction to Exponential Functions
Linear Functions
Logarithmic 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
Standard Form of a Line

CC.2.2.HS.C.3: Write functions or sequences that model relationships between two quantities.

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

CC.2.2.HS.C.4: Interpret the effects transformations have on functions and find the inverses of functions.

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

CC.2.2.HS.C.5: Construct and compare linear, quadratic and exponential models to solve problems.

Absolute Value with Linear Functions
Arithmetic Sequences
Compound Interest
Exponential Functions
Geometric Sequences
Introduction to Exponential Functions
Linear Functions
Logarithmic Functions
Quadratics in Factored Form
Quadratics in Polynomial Form
Quadratics in Vertex Form
Slope-Intercept Form of a Line
Translating and Scaling Functions

CC.2.2.HS.C.6: Interpret functions in terms of the situation they model.

Determining a Spring Constant
Linear Functions

CC.2.2.HS.C.7: Apply radian measure of an angle and the unit circle to analyze the trigonometric functions.

Cosine Function
Sine Function
Tangent Function

CC.2.2.HS.C.8: Choose trigonometric functions to model periodic phenomena and describe the properties of the graphs.

Cosine Function
Sine Function
Sine, Cosine, and Tangent Ratios
Tangent Function
Translating and Scaling Functions
Translating and Scaling Sine and Cosine Functions

CC.2.2.HS.C.9: Prove the Pythagorean identity and use it to calculate trigonometric ratios.

Cosine Function
Simplifying Trigonometric Expressions
Sine Function
Sine, Cosine, and Tangent Ratios
Tangent Function

CC.2.3.HS: Geometry

CC.2.3.HS.A: Geometry

CC.2.3.HS.A.1: Use geometric figures and their properties to represent transformations in the plane.

Circles
Dilations
Reflections
Rotations, Reflections, and Translations
Translations

CC.2.3.HS.A.2: Apply rigid transformations to determine and explain congruence.

Absolute Value with Linear Functions
Circles
Dilations
Holiday Snowflake Designer
Proving Triangles Congruent
Reflections
Rotations, Reflections, and Translations
Similar Figures
Translations

CC.2.3.HS.A.3: Verify and apply geometric theorems as they relate to geometric figures.

Investigating Angle Theorems
Triangle Inequalities

CC.2.3.HS.A.4: Apply the concept of congruence to create geometric constructions.

Constructing Congruent Segments and Angles

CC.2.3.HS.A.5: Create justifications based on transformations to establish similarity of plane figures.

Circles
Dilations
Similar Figures

CC.2.3.HS.A.6: Verify and apply theorems involving similarity as they relate to plane figures.

Similar Figures

CC.2.3.HS.A.7: Apply trigonometric ratios to solve problems involving right triangles.

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

CC.2.3.HS.A.8: Apply geometric theorems to verify properties of circles.

Chords and Arcs
Circles
Inscribed Angles

CC.2.3.HS.A.10: Translate between the geometric description and the equation for a conic section.

Circles
Hyperbolas
Parabolas

CC.2.3.HS.A.12: Explain volume formulas and use them to solve problems.

Prisms and Cylinders
Pyramids and Cones

CC.2.4.HS: Measurement, Data, and Probability

CC.2.4.HS.B: Statistics and Probability

CC.2.4.HS.B.1: Summarize, represent, and interpret data on a single count or measurement variable.

Box-and-Whisker Plots
Correlation
Histograms
Mean, Median, and Mode
Stem-and-Leaf Plots

CC.2.4.HS.B.2: Summarize, represent, and interpret data on two categorical and quantitative variables.

Box-and-Whisker Plots
Correlation
Solving Using Trend Lines
Stem-and-Leaf Plots

CC.2.4.HS.B.3: Analyze linear models to make interpretations based on the data.

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

CC.2.4.HS.B.4: Recognize and evaluate random processes underlying statistical experiments.

Polling: City
Polling: Neighborhood
Populations and Samples

CC.2.4.HS.B.5: Make inferences and justify conclusions based on sample surveys, experiments, and observational studies.

Polling: Neighborhood

CC.2.4.HS.B.7: Apply the rules of probability to compute probabilities of compound events in a uniform probability model.

Binomial Probabilities
Independent and Dependent Events