Core Standards

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.

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.

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 *ax*^{2}+*bx*+*c*

Modeling the Factorization of *x*^{2}+*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.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

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.

Dilations

Rotations, Reflections, and Translations

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.

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.

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.

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

Correlation last revised: 1/22/2020

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