Core Curriculum

I.2.b: Represent sequences and series using various notations.

Arithmetic Sequences

Geometric Sequences

I.2.c: Identify arithmetic and geometric sequences and series.

Arithmetic Sequences

Arithmetic and Geometric Sequences

Geometric Sequences

I.2.d: Discover and justify the formula for a finite arithmetic series.

Arithmetic Sequences

Arithmetic and Geometric Sequences

I.2.e: Discover and justify the formulas for finite and infinite geometric series.

II.1.d: Understand the relationships among the solutions of a polynomial equation, the zeros of a function, the x-intercepts of a graph, and the factors of a polynomial.

Polynomials and Linear Factors

II.1.e: Write an equation with given solutions.

Solving Equations on the Number Line

II.2.a: Model real-world relationships with functions.

II.2.b: Graph rational, piece-wise, power, exponential, and logarithmic functions.

Absolute Value with Linear Functions

Compound Interest

Exponential Functions

General Form of a Rational Function

Introduction to Exponential Functions

Logarithmic Functions

Rational Functions

II.2.c: Identify the effects of changing the parameter a in y = af (x), y = f (ax), y = f (x − a) , and y = f (x) + a , given the graph of y = f (x).

Translating and Scaling Functions

Zap It! Game

II.3.a: Identify the domain, range, and other attributes of families of functions and their inverses.

Graphs of Polynomial Functions

Logarithmic Functions

Radical Functions

II.3.c: Identify and analyze continuity, end behavior, asymptotes, symmetry (odd and even functions), and limits, and connect these concepts to graphs of functions.

Exponential Functions

General Form of a Rational Function

Logarithmic Functions

III.1.a: Define the six trigonometric functions using the unit circle.

Cosine Function

Sine Function

Tangent Function

III.1.b: Prove trigonometric identities using definitions, the Pythagorean Theorem, or other relationships.

Simplifying Trigonometric Expressions

III.1.c: Simplify trigonometric expressions and solve trigonometric equations using identities.

Sum and Difference Identities for Sine and Cosine

III.1.e: Construct the graphs of the trigonometric functions and their inverses, and describe their behavior, including periodicity and amplitude.

Cosine Function

Sine Function

Tangent Function

III.2.b: Represent complex numbers in rectangular and polar form, and convert between rectangular and polar form.

III.2.d: Multiply complex numbers in polar form and use DeMoivre?s Theorem to find roots of complex numbers.

III.3.a: Write equations of conic sections in standard form.

Circles

Ellipses

Hyperbolas

Parabolas

III.3.c: Solve real-world applications of conic sections.

IV.1.a: Obtain sample spaces and probability distributions for simple discrete random variables.

IV.1.b: Compute binomial probabilities using Pascal?s Triangle and the Binomial Theorem.

IV.1.e: Calculate parameters of sampling distributions for the sample average, sum, and proportion.

Polling: City

Populations and Samples

IV.1.f: Calculate probabilities in real problems using sampling distributions.

IV.2.b: Compute predictions of y-values for given x-values using a regression equation, and recognize the limitations of such predictions.

Correlation

Least-Squares Best Fit Lines

Solving Using Trend Lines

Correlation last revised: 5/24/2018

This correlation lists the recommended Gizmos for this state's curriculum standards. Click any Gizmo title below for more information.