Mathematics
MTH4295 ccs
High School Functions Aligned to the Common Core State Standards

This course contains high school functions materials aligned to the Common Core State Standards.

CCSS.MATH.CONTENT.HSF.IF....

This unit contains materials aligned to the High School Functions Aligned to the Common Core State Standard CCSS.MATH.CONTENT.HSF.IF.A.1.

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VIDEO

Domain and Range of a Function

VIDEO

Domain of advanced functions

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Domain of a Function Interactive Assessment

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Range of a Function Interactive Assessment

VIDEO

Domain and range of quadratic functions

DOCUMENT

Functions Ck-12

DOCUMENT

Section 1: Function Domain and Range

DOCUMENT

Functions 1.2

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This unit contains materials aligned to the High School Functions Aligned to the Common Core State Standard CCSS.MATH.CONTENT.HSF.IF.A.2.

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Function Notation

DOCUMENT

Function Notation CK-12

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Evaluate function expressions - Practice

VIDEO

How to evaluate a function given its formula (exam...

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Evaluate Functions - Interactive Practice

DOCUMENT

The Random Walk

VIDEO

Worked example: evaluating functions from graph

VIDEO

Function notation in context example

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This unit contains materials aligned to the High School Functions Aligned to the Common Core State Standard CCSS.MATH.CONTENT.HSF.IF.A.3.

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VIDEO

Converting recursive & explicit forms of geometric...

VIDEO

Sequences Intro: Explicit and Recursive Definition...

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Assessment: Defining sequences as functions

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Assessment: Sequences word problems

DOCUMENT

Snake on a Plane

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This unit contains materials aligned to the High School Functions Aligned to the Common Core State Standard CCSS.MATH.CONTENT.HSF.IF.B.4.

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VIDEO

End behavior of functions & their graphs

VIDEO

Graphical symmetry of functions

DOCUMENT

Influenza epidemic

DOCUMENT

Warming and Cooling

VIDEO

Worked example: positive & negative intervals - fu...

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Positive and negative intervals - interactive prac...

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Graph interpretation word problems - interactive p...

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End behavior of algebraic models - interactive pra...

VIDEO

Symmetry of algebraic models

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This unit contains materials aligned to the High School Functions Aligned to the Common Core State Standard CCSS.MATH.CONTENT.HSF.IF.B.5.

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Domain and Range from Graph - Practice

VIDEO

Worked Example: Domain and range from graphs

DOCUMENT

Average Cost

DOCUMENT

Oakland Coliseum

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This unit contains materials aligned to the High School Functions Aligned to the Common Core State Standard CCSS.MATH.CONTENT.HSF.IF.B.6.

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VIDEO

Ex: Average Rate of Change Application, 1.3

VIDEO

Hot Air Balloon Function, 2.1

DOCUMENT

Average Rate of Change

DOCUMENT

Mathemafish Population

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Average rate of change - Practice

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This unit contains materials aligned to the High School Functions Aligned to the Common Core State Standard CCSS.MATH.CONTENT.HSF.IF.C.7.

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DOCUMENT

Graphs of Quadratic Functions

DOCUMENT

Identifying graphs of functions

DOCUMENT

Modeling London's Population

CCSS.MATH.CONTENT.HSF.IF....

This unit contains materials aligned to the High School Functions Aligned to the Common Core State Standard CCSS.MATH.CONTENT.HSF.IF.C.7.A.

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VIDEO

Converting to Slope-Intercept Form

VIDEO

Slope and Y-intercept Intuition

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Graph from slope-intercept equation

DOCUMENT

Linear Equations in Point Slope Form CK-12

DOCUMENT

Graphs Using Slope Intercept Form CK-12

VIDEO

Linear Equations in Point Slope Form

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Converting between forms of linear equations

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Convert linear equations to standard form - Practi...

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x- and y-intercepts

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x-intercept of a line

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Intercepts from a table

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Assessment: Line graph intuition

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Assessment: Graphing linear equations

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Converting from point slope to slope intercept for...

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intercepts from a graph - interactive practice

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Point-slope form - interactive practice

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This unit contains materials aligned to the High School Functions Aligned to the Common Core State Standard CCSS.MATH.CONTENT.HSF.IF.C.7.B.

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DOCUMENT

Piecewise Functions

DOCUMENT

Checkpoint: Absolute Value Functions

VIDEO

Graphs of square-root functions

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Assessment: Graph absolute value functions

VIDEO

Intro to graphs of absolute value functions

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Worked example: graphing absolute value functions

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Assessment: Piecewise linear functions

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Assessment: Graphs of nonlinear piecewise function...

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Matching expressions to define intervals of functi...

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Graphs of nonlinear piecewise functions

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Assessment: Radical functions & their graphs

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This unit contains materials aligned to the High School Functions Aligned to the Common Core State Standard CCSS.MATH.CONTENT.HSF.IF.C.7.C.

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Assessment: Graphs of polynomials

VIDEO

Intro to end behavior of polynomials

VIDEO

Polynomial end behavior exercise example

DOCUMENT

Graphs of Polynomial Functions

DOCUMENT

Graphs of Power Functions

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This unit contains materials aligned to the High School Functions Aligned to the Common Core State Standard CCSS.MATH.CONTENT.HSF.IF.C.7.D.

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VIDEO

Asymptotes of Rational Functions

DOCUMENT

Finding Vertical & Horizontal Asymptotes

VIDEO

Graphing rational functions 2

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Assessment: Graphs of rational functions

DOCUMENT

Graphs of Rational Functions

CCSS.MATH.CONTENT.HSF.IF....

This unit contains materials aligned to the High School Functions Aligned to the Common Core State Standard CCSS.MATH.CONTENT.HSF.IF.C.7.E.

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DOCUMENT

Graphical Features of Logarithmic Functions

VIDEO

Features of sinusoidal functions

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Assessment: Graphs of logarithmic functions

VIDEO

Graphs of logarithms & exponentials

VIDEO

Graphs of logarithmic functions

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Assessment: Graph sinusoidal functions: phase shif...

VIDEO

Graph of y=tan(x)

DOCUMENT

Exponential Functions

VIDEO

Graphs of rational functions (old example)

VIDEO

Constructing exponential models (old example)

VIDEO

Plotting maxima, minima and midline intersections ...

CCSS.MATH.CONTENT.HSF.IF....

This unit contains materials aligned to the High School Functions Aligned to the Common Core State Standard CCSS.MATH.CONTENT.HSF.IF.C.8.

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Assessment: Find features of quadratic functions

VIDEO

Forms & features of quadratic functions

VIDEO

Finding the vertex of a parabola in standard form

DOCUMENT

Which Function?

DOCUMENT

Springboard Dive

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This unit contains materials aligned to the High School Functions Aligned to the Common Core State Standard CCSS.MATH.CONTENT.HSF.IF.C.9.

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Compare Features of Functions - Interactive Practi...

VIDEO

Comparing functions: x-intercepts

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Comparing maximum points of quadratic functions

VIDEO

Comparing functions: shared features

DOCUMENT

Throwing Baseballs

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This unit contains materials aligned to the High School Functions Aligned to the Common Core State Standard CCSS.MATH.CONTENT.HSF.BF.A.1.

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VIDEO

Rational equation word problem

VIDEO

Quadratic inequality word problem

VIDEO

Exponential equation word problem

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Assessment: Equations & inequalities word problems

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Assessment: Model with composite functions

VIDEO

Modeling with composite functions (example 2)

DOCUMENT

Build a function that models a relationship betwee...

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This unit contains materials aligned to the High School Functions Aligned to the Common Core State Standard CCSS.MATH.CONTENT.HSF.BF.A.2.

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DOCUMENT

Arithmetic and Geometric Sequences Worksheet

DOCUMENT

Arithmetic & Geometric Sequences & Summations

VIDEO

Converting recursive & explicit forms of geometric...

VIDEO

Sequences Intro: Explicit and Recursive Definition...

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Assessment: Sequences word problems

CCSS.MATH.CONTENT.HSF.BF....

This unit contains materials aligned to the High School Functions Aligned to the Common Core State Standard CCSS.MATH.CONTENT.HSF.BF.B.3.

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DOCUMENT

Even and Odd Functions

VIDEO

Intro to function symmetry

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Even and Odd Functions - Practice

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Transforming functions - Practice

VIDEO

Shifting & reflecting functions

VIDEO

Even/odd functions & numbers

DOCUMENT

Building a quadratic function from f(x)=x2

CCSS.MATH.CONTENT.HSF.BF....

This unit contains materials aligned to the High School Functions Aligned to the Common Core State Standard CCSS.MATH.CONTENT.HSF.BF.B.4.

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VIDEO

Finding inverse functions: linear

VIDEO

Introduction to Function Inverses

DOCUMENT

Unit 5.3 Reading "Inverse Functions"

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Assessment: Verify inverse functions

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Assessment: Evaluate inverse functions

VIDEO

Function Invertibility

DOCUMENT

Inverse Functions

CCSS.MATH.CONTENT.HSF.BF....

This unit contains materials aligned to the High School Functions Aligned to the Common Core State Standard CCSS.MATH.CONTENT.HSF.BF.B.5.

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DOCUMENT

Logarithms

DOCUMENT

Logarithms and Exponentials

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Assessment: Evaluate logarithms

VIDEO

Logarithms

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Assessment: Evaluate logarithms (advanced)

VIDEO

Evaluating logarithms (advanced)

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Assessment: Relationship between exponentials & lo...

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Relationship between exponentials & logarithms

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Relationship between exponentials & logarithms: ta...

VIDEO

Solving exponential equations using logarithms: ba...

CCSS.MATH.CONTENT.HSF.LE....

This unit contains materials aligned to the High School Functions Aligned to the Common Core State Standard CCSS.MATH.CONTENT.HSF.LE.A.1.

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Assessment: Exponential vs. linear models

VIDEO

Exponential vs. linear models: verbal

DOCUMENT

Linear and Exponential Models

DOCUMENT

Linear or exponential?

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This unit contains materials aligned to the High School Functions Aligned to the Common Core State Standard CCSS.MATH.CONTENT.HSF.LE.A.2.

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VIDEO

Intro to exponential functions

WEB RESOURCE

Assessment: Exponential functions from tables & gr...

VIDEO

Writing exponential functions from tables

VIDEO

Writing exponential functions from graphs

DOCUMENT

Exponential Growth Functions

DOCUMENT

Two Points Determine an Exponential Function I

DOCUMENT

Two Points Determine an Exponential Function II

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This unit contains materials aligned to the High School Functions Aligned to the Common Core State Standard CCSS.MATH.CONTENT.HSF.LE.A.3.

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Assessment: Compare growth of exponentials & polyn...

VIDEO

Comparing growth of exponential & quadratic models

DOCUMENT

Linear, Exponential, and Quadratic Models

DOCUMENT

Exponential growth versus polynomial growth

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This unit contains materials aligned to the High School Functions Aligned to the Common Core State Standard CCSS.MATH.CONTENT.HSF.LE.A.4.

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DOCUMENT

Solving Exponential Equations

VIDEO

Khan Academy, Solving Exponential Equations

WEB RESOURCE

Assessment: Solve exponential equations using loga...

DOCUMENT

Solving Exponential Equations

VIDEO

Solving exponential equations using logarithms: ba...

CCSS.MATH.CONTENT.HSF.LE....

This unit contains materials aligned to the High School Functions Aligned to the Common Core State Standard CCSS.MATH.CONTENT.HSF.LE.B.5.

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DOCUMENT

Exponential Growth and Decay Word Problems

VIDEO

Exponential growth & decay word problems

VIDEO

Comparing linear functions word problem: climb

VIDEO

Comparing linear functions word problem: walk

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Comparing linear functions word problem: work

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Assessment: Comparing linear functions word proble...

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Assessment: Interpret change in exponential models

VIDEO

Modeling with basic exponential functions word pro...

VIDEO

Decay of cesium 137 example

DOCUMENT

A Saturating Exponential

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This unit contains materials aligned to the High School Functions Aligned to the Common Core State Standard CCSS.MATH.CONTENT.HSF.TF.A.1.

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VIDEO

Example: Radian Measure and Arc Length

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Assessment: Radians & arc length

VIDEO

Arc length from subtended angle: radians

VIDEO

Ratio between concentric arcs

DOCUMENT

Radian Measure

DOCUMENT

What exactly is a radian?

CCSS.MATH.CONTENT.HSF.TF....

This unit contains materials aligned to the High School Functions Aligned to the Common Core State Standard CCSS.MATH.CONTENT.HSF.TF.A.2.

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VIDEO

Unit Circle Manipulative

VIDEO

Introduction to the unit circle

VIDEO

The trig functions & right triangle trig ratios

DOCUMENT

Trigonometric Ratios on the Unit Circle

DOCUMENT

Trig Functions and the Unit Circle

CCSS.MATH.CONTENT.HSF.TF....

This unit contains materials aligned to the High School Functions Aligned to the Common Core State Standard CCSS.MATH.CONTENT.HSF.TF.A.3.

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Assessment: Trig values of special angles

VIDEO

Trig values of special angles

VIDEO

Finding trig functions of special angles example

DOCUMENT

Special Triangles 1

DOCUMENT

Special Triangles 2

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Equilateral triangles and trigonometric functions

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This unit contains materials aligned to the High School Functions Aligned to the Common Core State Standard CCSS.MATH.CONTENT.HSF.TF.A.4.

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VIDEO

Sine & cosine identities: symmetry

VIDEO

Tangent identities: symmetry

VIDEO

Sine & cosine identities: periodicity

VIDEO

Periodicity of tan example

DOCUMENT

Properties of Trigonometric Functions

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This unit contains materials aligned to the High School Functions Aligned to the Common Core State Standard CCSS.MATH.CONTENT.HSF.TF.B.5.

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Assessment: Modeling with sinusoidal functions

VIDEO

Trig word problem: modeling annual temperature

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Assessment: Modeling with sinusoidal functions: ph...

VIDEO

Trig word problem: length of day (phase shift)

DOCUMENT

As the Wheel Turns

DOCUMENT

Foxes and Rabbits 2

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This unit contains materials aligned to the High School Functions Aligned to the Common Core State Standard CCSS.MATH.CONTENT.HSF.TF.B.6.

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VIDEO

Solving sinusoidal equations of the form sin(x)=d

VIDEO

Restricting domains of functions to make them inve...

VIDEO

Domain & range of inverse tangent function

VIDEO

Using inverse trig functions with a calculator

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This unit contains materials aligned to the High School Functions Aligned to the Common Core State Standard CCSS.MATH.CONTENT.HSF.TF.B.7.

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VIDEO

Inverse Trig Functions: Arcsin

VIDEO

Inverse Trig Functions: Arctan

VIDEO

Inverse Trig Functions: Arccos

SLIDESHOW

Inverse Trigonometric Functions PowerPoint

DOCUMENT

Inverse Trigonometric Functions

WEB RESOURCE

Assessment: Sinusoidal models word problems

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This unit contains materials aligned to the High School Functions Aligned to the Common Core State Standard CCSS.MATH.CONTENT.HSF.TF.C.8.

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VIDEO

Using trigonometric identities

WEB RESOURCE

Assessment: Use the Pythagorean identity

VIDEO

Using the Pythagorean trig identity

VIDEO

Proof of the Pythagorean trig identity

DOCUMENT

Pythagorean Identities

DOCUMENT

Trigonometric Ratios and the Pythagorean Theorem

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This unit contains materials aligned to the High School Functions Aligned to the Common Core State Standard CCSS.MATH.CONTENT.HSF.TF.C.9.

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Using the trig angle addition identities - Practic...

VIDEO

Using the cosine double-angle identity

VIDEO

Using the cosine angle addition identity

VIDEO

Trigonometry identity review/fun

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Assessment: Find trig values using angle addition ...

VIDEO

Using trig angle addition identities: finding side...

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Using trig angle addition identities: manipulating...

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Proof of the sine angle addition identity

VIDEO

Proof of the cosine angle addition identity

DOCUMENT

Sine Sum and Difference Formulas

DOCUMENT

Cosine Sum and Difference Formulas

DOCUMENT

Tangent Sum and Difference Formulas