Video Notes on Each Topic Geogebra Links to Some Interactive Examples

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Topics Unit 1: Similarity, Congruence, and Proofs Lesson 1: Investigating Properties of Dilations 1.1.1: Investigating Properties of Parallelism and the Center 1.1.2: Investigating Scale Factors Lesson 2: Constructing Lines, Segments, and Angles 1.2.1: Copying Segments and Angles 1.2.2: Bisecting Segments and Angles 1.2.3: Constructing Perpendicular and Parallel Lines Lesson 3: Constructing Polygons 1.3.1: Constructing Equilateral Triangles Inscribed in Circles 1.3.2: Constructing Squares Inscribed in Circles 1.3.3: Constructing Regular Hexagons Inscribed in Circles Lesson 4: Exploring Congruence 1.4.1: Describing Rigid Motions and Predicting the Effects 1.4.2: Defining Congruence in Terms of Rigid Motions Lesson 5: Congruent Triangles 1.5.1: Triangle Congruency 1.5.2: Explaining ASA, SAS, and SSS Lesson 6: Defining and Applying Similarity 1.6.1: Defining Similarity 1.6.2: Applying Similarity Using the Angle-Angle (AA) Criterion Lesson 7: Proving Similarity 1.7.1: Proving Triangle Similarity Using Side-Angle-Side (SAS) and Side-Side-Side (SSS) Similarity 1.7.2: Working with Ratio Segments 1.7.3: Proving the Pythagorean Theorem Using Similarity 1.7.4: Solving Problems Using Similarity and Congruence Lesson 8: Proving Theorems About Lines and Angles 1.8.1: Proving the Vertical Angles Theorem 1.8.2: Proving Theorems About Angles in Parallel Lines Cut by a Transversal Lesson 9: Proving Theorems About Triangles 1.9.1: Proving the Interior Angle Sum Theorem 1.9.2: Proving Theorems About Isosceles Triangles 1.9.3: Proving the Midsegment of a Triangle 1.9.4: Proving Centers of Triangles Lesson 10: Proving Theorems About Parallelograms 1.10.1: Proving Properties of Parallelograms 1.10.2: Proving Properties of Special Quadrilaterals

Video Notes on Each Topic Geogebra Links to Some Interactive Examples

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Unit 2: Right Triangle Trigonometry Lesson 1: Exploring Trigonometric Ratios 2.1.1: Defining Trigonometric Ratios 2.1.2: Exploring Sine and Cosine As Complements Lesson 2: Applying Trigonometric Ratios 2.2.1: Calculating Sine, Cosine, and Tangent 2.2.2: Calculating Cosecant, Secant, and Cotangent 2.2.3: Problem Solving with the Pythagorean Theorem and Trigonometry Unit 3: Circles and Volume Lesson 1: Introducing Circles 3.1.1: Similar Circles and Central and Inscribed Angles 3.1.2: Chord Central Angles Conjecture 3.1.3: Properties of Tangents of a Circle Lesson 2: Inscribed Polygons and Circumscribed Triangles 3.2.1: Constructing Inscribed Circles 3.2.2: Constructing Circumscribed Circles 3.2.3: Proving Properties of Inscribed Quadrilaterals Lesson 3: Constructing Tangent Lines 3.3.1: Constructing Tangent Lines Lesson 4: Finding Arc Lengths and Areas of Sectors 3.4.1: Defining Radians 3.4.2: Deriving the Formula for the Area of a Sector Lesson 5: Explaining and Applying Area and Volume Formulas 3.5.1: Circumference and Area of a Circle 3.5.2: Volumes of Cylinders, Pyramids, and Cones 3.5.3: Volumes of Spheres and Other Solid Figures Unit 4: Extending the Number System Lesson 1: Working with the Number System 4.1.1: Defining, Rewriting, and Evaluating Rational Exponents 4.1.2: Rational and Irrational Numbers and Their Properties Lesson 2: Operating with Polynomials 4.2.1: Adding and Subtracting Polynomials 4.2.2: Multiplying Polynomials Lesson 3: Operating with Complex Numbers 4.3.1: Defining Complex Numbers, i, and i 2 4.3.2: Adding and Subtracting Complex Numbers 4.3.3: Multiplying Complex Numbers 4.3.4: Dividing Complex Numbers

Video Notes on Each Topic Geogebra Links to Some Interactive Examples

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Unit 5: Quadratic Functions Lesson 1: Interpreting Structure in Expressions 5.1.1: Identifying Terms, Factors, and Coefficients 5.1.2: Interpreting Complicated Expressions Lesson 2: Creating and Solving Quadratic Equations in One Variable 5.2.1: Taking the Square Root of Both Sides 5.2.2: Factoring 5.2.3: Completing the Square 5.2.4: Applying the Quadratic Formula 5.2.5: Solving Quadratic Inequalities Lesson 3: Creating Quadratic Equations in Two or More Variables 5.3.1: Creating and Graphing Equations Using Standard Form 5.3.2: Creating and Graphing Equations Using the x-intercepts 5.3.3: Creating and Graphing Equations Using Vertex Form 5.3.4: Rearranging Formulas Lesson 4: Solving Systems of Equations 5.4.1: Solving Systems Graphically 5.4.2: Solving Systems Algebraically Lesson 5: Interpreting Quadratic Functions 5.5.1: Interpreting Key Features of Quadratic Functions 5.5.2: Identifying the Domain of a Quadratic Function 5.5.3: Identifying the Average Rate of Change Lesson 6: Analyzing Quadratic Functions 5.6.1: Graphing Quadratic Functions 5.6.2: Writing Equivalent Forms of Quadratic Functions 5.6.3: Comparing Properties of Functions Given in Different Forms Lesson 7: Building Functions 5.7.1: Building Functions from Context 5.7.2: Operating on Functions Lesson 8: Transforming Functions 5.8.1: Replacing f (x ) with f (x ) + k and f (x + k) 5.8.2: Replacing f (x ) with k • f (x ) and f (k • x) Lesson 9: Fitting Quadratic Functions to Data 5.9.1: Solving Problems Given Functions Fitted to Data 5.9.2: Fitting a Function to Data

Video Notes on Each Topic Geogebra Links to Some Interactive Examples

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Unit 6: Modeling Geometry Lesson 1: Deriving Equations 6.1.1: Deriving the Equation of a Circle 6.1.2: Deriving the Equation of a Parabola Lesson 2: Using Coordinates to Prove Geometric Theorems About Circles and Parabolas 6.2.1: Using Coordinates to Prove Geometric Theorems About Circles and Parabolas Lesson 3: Solving Systems of Linear Equations and Circles 6.3.1: Solving Systems of Linear Equations and Circles Unit 7: Applications of Probability Lesson 1: Events 7.1.1: Describing Events 7.1.2: The Addition Rule 7.1.3: Understanding Independent Events Lesson 2: Conditional Probability 7.2.1: Introducing Conditional Probability 7.2.2: Using Two-Way Frequency Tables

Video Notes on Each Topic Geogebra Links to Some Interactive Examples

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1.1.1: Investigating Properties of Parallelism and the Center

1.1.1 Video Notes (Investigating Properties of Parallelism and the Center)

https://www.youtube.com/watch?v=ixiY1_gpyxY

CCGPS AG 1.1.1 Example 1

Is the following transformation a dilation? Justify your answer using the properties of dilations.

http://www.geogebratube.org/material/show/id/23235

CCGPS AG 1.1.1 Example 3

The following transformation represents a dilation. What is the scale factor? Does this indicate

enlargement, reduction, or congruence?

http://www.geogebratube.org/material/show/id/23238

1.1.2: Investigating Scale Factors

1.1.2 Video Notes (Investigating Scale Factors)

https://www.youtube.com/watch?v=oaMtUNZiHPc

1.1.2 Video Notes (Investigating Scale Factors - Dilations and Scale

Factors)

http://www.youtube.com/watch?v=lKXrQLYvzzE

1.2.1 Copying Segments and Angles 1.2.1 Video Notes (Copying Segment and Angles) https://www.youtube.com/watch?v=kmiieTiAhJQ

1.2.2 Bisecting Segments and Angles 1.2.2 Video Notes (Bisecting Segments and Angles) https://www.youtube.com/watch?v=ENqeNrfrQl8

Video Notes on Each Topic Geogebra Links to Some Interactive Examples

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1.2.3: Constructing Perpendicular and Parallel Lines

1.2.3 Video Notes (Constructing Perpendicular and Parallel Lines - Perpendicular Lines and Lines Perpendicular to a Point) http://www.youtube.com/watch?v=7Kp4P0fje_k

1.2.3 Video Notes (Constructing Perpendicular and Parallel Lines - Parallel Lines) http://www.youtube.com/watch?v=EKL_3xppHcQ

1.2.3 Video Notes (Constructing Perpendicular and Parallel Lines - Constructing a line Parallel to the given line through a given point not on the line) http://www.youtube.com/watch?v=X4S4NBucUDs

CCGPS AG 1.2.3 Example 3

Use a compass and a straightedge to construct a line perpendicular to line m through point B that

is not on the line.

http://www.geogebratube.org/material/show/id/19425

1.3.1: Constructing Equilateral Triangles Inscribed in Circles 1.3.1 Video Notes (Constructing Equilateral Triangles Inscribed in Circles) https://www.youtube.com/watch?v=Wa3EeTw3-o0

CCGPS AG 1.3.1 Example 3

Construct equilateral triangle JKL inscribed in circle P using Method 1. Use the given segment

as the radius for circle P.

http://www.geogebratube.org/material/show/id/19427

CCGPS AG 1.3.1 Example 4

Construct equilateral triangle JLN inscribed in circle P using Method 2. Use the given segment

as the radius for circle P.

http://www.geogebratube.org/material/show/id/19435

Video Notes on Each Topic Geogebra Links to Some Interactive Examples

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1.3.2: Constructing Squares Inscribed in Circles

1.3.2 Video Notes (Constructing Squares Inscribed in Circles) https://www.youtube.com/watch?v=35-QQgj2-nU

CCGPS AG 1.3.2 Example 1

Construct square ABCD inscribed in circle O.

http://www.geogebratube.org/material/show/id/19436

1.3.3: Constructing Regular Hexagons Inscribed in Circles

1.3.3 Video Notes (Constructing Regular Hexagons Inscribed in Circles) https://www.youtube.com/watch?v=p8PYYMPuXTw

CCGPS AG 1.3.3 Example 2

Construct regular hexagon ABCDEF inscribed in circle O using Method 2.

http://www.geogebratube.org/material/show/id/19439

1.4.1: Describing Rigid Motions and Predicting the Effects 1.4.1 Video Notes (Describing Rigid Motions and Predicting the Effects) https://www.youtube.com/watch?v=PTmMSQFlgyk

CCGPS AG 1.4.1 Example 2

Describe the transformation that has taken place in the diagram

http://www.geogebratube.org/material/show/id/19441

CCGPS AG 1.4.1 Example 4

Rotate the given figure 45˚ counterclockwise about the origin.

http://www.geogebratube.org/material/show/id/19442

Video Notes on Each Topic Geogebra Links to Some Interactive Examples

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1.4.2: Defining Congruence in Terms of Rigid Motions

1.4.2 Video Notes (Defining Congruence in Terms of Rigid Motions)

https://www.youtube.com/watch?v=zjTs1r1xLXg

CCGPS AG 1.4.2 Example 1

Determine if the two figures are congruent by identifying the transformations that have taken

place.

http://www.geogebratube.org/material/show/id/19443

CCGPS AG 1.4.2 Example 2 Determine if the two figures are congruent by identifying the

transformations that have taken place.

http://www.geogebratube.org/material/show/id/19445

1.5.1: Triangle Congruency 1.5.1 Video Notes (Triangle Congruency) https://www.youtube.com/watch?v=OQgrmbq0kws

CCGPS AG 1.5.1 Example 1

Use corresponding parts to identify the congruent triangles.

http://www.geogebratube.org/material/show/id/19446

CCGPS AG 1.5.1 Example 2

△BDF≅△HJL Name the corresponding angles and sides of the congruent triangles.

http://www.geogebratube.org/material/show/id/19447

1.5.2: Explaining ASA, SAS, and SSS 1.5.2 Video Notes (Explaining ASA, SAS, and SSS) https://www.youtube.com/watch?v=cy7fEikuBu0

CCGPS AG 1.5.2 Example 1

Determine which congruence statement, if any, can be used to show that △PQR and △STU are

congruent.

http://www.geogebratube.org/material/show/id/19448

CCGPS AG 1.5.2 Example 2 Determine which congruence statement, if any, can be used to

show that △ABC and △DEF are congruent.

http://www.geogebratube.org/material/show/id/19450

Video Notes on Each Topic Geogebra Links to Some Interactive Examples

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1.6.1: Defining Similarity 1.6.1 Video Notes (Defining Similarity) https://www.youtube.com/watch?v=cy7fEikuBu0

CCGPS AG 1.6.1 Example 1

Use the definition of similarity in terms of similarity transformations to determine whether the

two figures are similar.

http://www.geogebratube.org/material/show/id/20662

CCGPS AG 1.6.1 Example 2

Use the definition of similarity in terms of similarity transformations to determine whether the

two figures are similar

http://www.geogebratube.org/material/show/id/20663

1.6.2: Applying Similarity Using the Angle-Angle (AA) Criterion

1.6.2 Video Notes (Applying Similarity Using the Angle-Angle (AA) Criterion) https://www.youtube.com/watch?v=4JbaWkti04A

CCGPS AG 1.6.2 Example 2

Explain why △ABC∼△DEF, and then find the length of Segment DF

http://www.geogebratube.org/material/show/id/20664

CCGPS AG 1.6.2 Example 4

Suppose a person 5 feet 10 inches tall casts a shadow that is 3 feet 6 inches long. At the same

time of day, a flagpole casts a shadow that is 12 feet long. To the nearest foot, how tall is the

flagpole?

http://www.geogebratube.org/material/show/id/20665

1.7.1: Proving Triangle Similarity Using Side-Angle-Side (SAS) and Side-Side-Side (SSS) Similarity 1.7.1 Video Notes (Proving Triangle Similarity Using Side-Angle-Side (SAS) and Side-Side-Side (SSS) Similarity) https://www.youtube.com/watch?v=Aiwl-dZzj_w

CCGPS AG 1.7.1 Example 2 Determine whether the triangles are similar.

http://www.geogebratube.org/material/show/id/23386

Video Notes on Each Topic Geogebra Links to Some Interactive Examples

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CCGPS AG 1.7.1 Example 3

Determine whether the triangles are similar.

http://www.geogebratube.org/material/show/id/23477

1.7.2: Working with Ratio Segments 1.7.2 Video Notes (Working with Ratio Segments/Triangle Proportionality

Theorem & Converse)

https://www.youtube.com/watch?v=H_G9Q2UEZmI

1.7.2 Video Notes (Working with Ratio Segments/Angle Bisector Theorem)

https://www.youtube.com/watch?v=82qPgY5pYQg

https://www.youtube.com/watch?v=6WZRypy7ry0

https://www.youtube.com/watch?v=PlY3e_-9JUA

CCGPS AG 1.7.2 Example 1

Find the length of Segment BE.

http://www.geogebratube.org/material/show/id/23481

1.7.3: Proving the Pythagorean Theorem Using Similarity

1.7.3 Video Notes (Proving the Pythagorean Theorem Using Similarity) https://www.youtube.com/watch?v=LrS5_l-gk94

CCGPS AG 1.7.3 Example 2

Find the length of the altitude, x, of △ABC

http://www.geogebratube.org/material/show/id/23492

CCGPS AG 1.7.3 Example 3

Find the unknown values in the figure

http://www.geogebratube.org/material/show/id/23431

Video Notes on Each Topic Geogebra Links to Some Interactive Examples

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1.7.4: Solving Problems Using Similarity and Congruence

1.7.4 Video Notes (Solving Problems Using Similarity and Congruence)

https://www.youtube.com/watch?v=YaQpNIjkJZs

CCGPS AG 1.7.4 Example 1

A meter stick casts a shadow 65 centimeters long. At the same time, a tree casts a shadow 2.6

meters long. How tall is the tree?

http://www.geogebratube.org/material/show/id/23497

1.8.1: Proving the Vertical Angles Theorem 1.8.1 Video Notes (Proving the Vertical Angles Theorem)

https://www.youtube.com/watch?v=WUpFXIvGo0I

https://www.youtube.com/watch?v=4iYEpNHhnbM

CCGPS AG 1.8.1 Example 4

Prove that vertical angles are congruent given a pair of intersecting lines AC and BD

http://www.geogebratube.org/material/show/id/23243

1.8.2: Proving Theorems About Angles in Parallel Lines Cut by a Transversal 1.8.2 Video Notes (Proving Theorems about Angles in Parallel Lines Cut by

Transversals)

https://www.youtube.com/watch?v=TNazFY9YOQw

http://www.youtube.com/watch?v=H-E5rlpCVu4

1.9.2: Proving Theorems About Isosceles Triangles

1.9.2 Video Notes (Proving Theorems About Isosceles Triangles) https://www.youtube.com/watch?v=wdEGf0FDMss

CCGPS AG 1.9.2 Example 2

Determine whether △ABC with vertices A(–4,5), B(–1,–4), and C(5,2) is an isosceles triangle. If

it is isosceles, name a pair of congruent angles.

http://www.geogebratube.org/material/show/id/25084

Video Notes on Each Topic Geogebra Links to Some Interactive Examples

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CCGPS AG 1.9.2 Example 4

Find the values of x and y

http://www.geogebratube.org/material/show/id/25634

1.9.3: Proving the Mid-segment of a Triangle

1.9.3 Video Notes (Proving the Mid-segment of a Triangle) https://www.youtube.com/watch?v=aWGSbV8QYok

https://www.youtube.com/watch?v=MbITaIYqUk4

https://www.youtube.com/watch?v=RSyoofXnrSk

https://www.youtube.com/watch?v=iR8fvqgY4NM

CCGPS AG 1.9.3 Example 1

Find the lengths of BC and YZ and the measure of ∠AXZ

http://www.geogebratube.org/material/show/id/25708

CCGPS AG 1.9.3 Example 3

The midpoints of a triangle are X(–2,5), Y(3,1), and Z(4,8). Find the coordinates of the vertices of

the triangle.

http://www.geogebratube.org/material/show/id/25710

1.9.4: Proving Centers of Triangles 1.9.4 Video Notes (Proving Centers of Triangles - Triangle Guts Medians, Altitudes, Perpendicular Bisectors, Angle Bisectors https://www.youtube.com/watch?v=yb-94OD2Ggk&feature=youtube_gdata_player

1.9.4 Video Notes (Triangle Medians and Centroids) https://www.youtube.com/watch?v=GiGLhXFBtRg

1.9.4 Video Notes (Incenter and incircles of a triangle)

https://www.youtube.com/watch?v=21vbBiCVijE

1.9.4 Video Notes (Circumcenter and Perpendicular Bisectors of a

Triangle)

https://www.youtube.com/watch?v=KXZ6w91DioU

Video Notes on Each Topic Geogebra Links to Some Interactive Examples

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1.9.4 Video Notes (Orthocenters and Altitudes - How to Find the

Orthocenter of a Triangle)

https://www.youtube.com/watch?v=YHETaJZhQSw

1.9.4 Video Notes (Orthocenters and Altitudes - Orthocenter construction)

https://www.youtube.com/watch?v=Q_-0EjGne1s

1.9.4 Video Notes (Proof - Triangle Altitudes are Concurrent and Finding

the Orthocenter)

https://www.youtube.com/watch?v=aGwT2-RERXY

CCGPS AG 1.9.4 Example 4

Using △ABC from Example 3, which has vertices A(–2,4), B(5,4), and C(3,–2), verify that the

centroid, X(2,2), is 23 the distance from each vertex.

http://www.geogebratube.org/material/show/id/25900

1.10.1: Proving Properties of Parallelograms 1.10.1 Video Notes (Proving Properties of Parallelograms) https://www.youtube.com/watch?v=pDrNaUbj_Sg

1.10.2: Proving Properties of Special Quadrilaterals

1.10.2 Video Notes (Proving Properties of Special Quadrilaterals)

https://www.youtube.com/watch?v=OSzhyjq7B4w

Video Notes on Each Topic Geogebra Links to Some Interactive Examples

14 | P a g e ©William Brown 2014

2.1.1: Defining Trigonometric Ratios 2.1.1 Video Notes (Right Triangle Trigonometry Defining Ratios) https://www.youtube.com/watch?v=YBT9hF9BaKE

CCGPS AG 2.1.1 Example 1

Find the sine, cosine, and tangent ratios for ∠A and ∠B in △ABC. Convert the ratios to decimal

equivalents.

http://www.geogebratube.org/material/show/id/26395

2.1.2: Exploring Sine and Cosine As Complements 2.1.2 Video Notes (Exploring Sine and Cosine As Complements) https://www.youtube.com/watch?v=yiH6GoscimY

CCGPS AG 2.1.2 Example 1

Find sin28∘ if cos62∘≈0.469

http://www.geogebratube.org/material/show/id/26521

CCGPS AG 2.1.2 Example 3

Find a value of θ for which sinθ=cos15∘ is true

http://www.geogebratube.org/material/show/id/26522

2.2.1: Calculating Sine, Cosine, and Tangent

2.2.1 Video Notes (Calculating Sine, Cosine, and Tangent) https://www.youtube.com/watch?v=O74LFU4VmlE

CCGPS AG 2.2.1 Example 4

Solve the right triangle below. Round sides to the nearest thousandth

http://www.geogebratube.org/material/show/id/26525

2.2.2: Calculating Cosecant, Secant, and Cotangent 2.2.2 Video Notes (Calculating Cosecant, Secant, and Cotangent -

Reciprical Ratios: Cosecant Secant Cotangent flippity flop)

https://www.youtube.com/watch?v=u3bSAbWuWCw

Video Notes on Each Topic Geogebra Links to Some Interactive Examples

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CCGPS AG 2.2.2 Example 1 Determine the correct reciprocal trigonometric function to solve

for x in the triangle below. Write the value of x to the nearest thousandth.

http://www.geogebratube.org/material/show/id/26526

3.1.1: Similar Circles and Central and Inscribed Angles

CCGPS AG 3.1.1 Example 5

Find the measures of ∠BAC and ∠BDC

http://www.geogebratube.org/material/show/id/26631

3.1.1: Similar Circles and Central and Inscribed Angles 3.1.1 Video Notes (Central Angles and Intercepted Arcs)

https://www.youtube.com/watch?v=o5cq9BA_hlE

3.1.1 Video Notes (Similar Circles and Central and Inscribed Angles) https://www.youtube.com/watch?v=MyzGVbCHh5M

3.1.1 Video Notes (Inscribed Angles)

https://www.youtube.com/watch?v=aRGI4lafk8Y

3.1.2: Chord Central Angles Conjecture 3.1.2 Video Notes (Central Angles, Arcs and Chords)

https://www.youtube.com/watch?v=xI2BZ5R_PrM

CCGPS AG 3.1.2 Example 1

In ⨀A, m∠BAC=57. What is the measure of arc BDC

http://www.geogebratube.org/material/show/id/26744

CCGPS AG 3.1.2 Example 2

⨀G≅⨀E. What conclusions can you make?

http://www.geogebratube.org/material/show/id/26745

3.1.3: Properties of Tangents of a Circle 3.1.3 Video Notes (Properties of Tangents of a Circle - Properties of

Tangent Lines and Circles)

https://www.youtube.com/watch?v=zdxe30vo-OY

Video Notes on Each Topic Geogebra Links to Some Interactive Examples

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3.1.3 Video Notes (Properties of Tangents of a Circle - Tangent Lines to a

Circle)

https://www.youtube.com/watch?v=OEs-gG3UHDM

CCGPS AG 3.1.3 Example 2

Each side of △ABC is tangent to circle O at the points D, E, and F. Find the perimeter of △ABC

http://www.geogebratube.org/material/show/id/26737

CCGPS AG 3.1.3 Example 4

AB is tangent to Circle C at point B as shown below. Find the length of AB as well as measure of

arc BD.

http://www.geogebratube.org/material/show/id/26752

3.2.1: Constructing Inscribed Circles

3.2.1 Video Notes (Constructing Inscribed Circles in a Triangle) https://www.youtube.com/watch?v=NRzlh6KM0Lg

CCGPS AG 3.2.1 Example 1

Verify that the angle bisectors of acute △ABC are concurrent and that this concurrent point is

equidistant from each side.

http://www.geogebratube.org/material/show/id/26530

CCGPS AG 3.2.1 Example 2

Construct a circle inscribed in acute △ABC

http://www.geogebratube.org/material/show/id/26534

3.2.2: Constructing Circumscribed Circles 3.2.2 Video Notes (Constructing Circumscribed Circles) https://www.youtube.com/watch?v=7a6OVv5d1rM

https://www.youtube.com/watch?v=YEX2mhvbYuo

CCGPS AG 3.2.2 Example 1

Verify that the perpendicular bisectors of acute △ABC are concurrent and that this concurrent

point is equidistant from each vertex.

http://www.geogebratube.org/material/show/id/26535

Video Notes on Each Topic Geogebra Links to Some Interactive Examples

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CCGPS AG 3.2.2 Example 2

Construct a circle circumscribed about acute △ABC

http://www.geogebratube.org/material/show/id/26536

3.2.3: Proving Properties of Inscribed Quadrilaterals 3.2.3 Video Notes (Proving Properties of Inscribed Quadrilaterals) https://www.youtube.com/watch?v=Hv1Kc8Cj8hQ

CCGPS AG 3.2.3 Example 1

Consider the inscribed quadrilateral in the following diagram. What are the relationships

between the measures of the angles of an inscribed quadrilateral?

http://www.geogebratube.org/material/show/id/26537

CCGPS AG 3.2.3 Example 2

Consider the inscribed quadrilateral below. Do the relationships discovered between the angles

in Example 1 still hold for the angles in this quadrilateral?

http://www.geogebratube.org/material/show/id/26539

3.3.1: Constructing Tangent Lines 3.3.1 Video Notes (Constructing Tangent Lines) https://www.youtube.com/watch?v=APjHkFhlEuI

3.4.1: Defining Radians 3.4.1 Video Notes (Defining Radians) https://www.youtube.com/watch?v=EnwWxMZVBeg

CCGPS AG 3.4.1 Example 1

Convert 40∘ to radians.

http://www.geogebratube.org/material/show/id/26739

CCGPS AG 3.4.1 Example 5

A circle has a diameter of 20 feet. Find the length of an arc intercepted by a central angle

measuring 36∘

http://www.geogebratube.org/material/show/id/26754

Video Notes on Each Topic Geogebra Links to Some Interactive Examples

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3.4.2: Deriving the Formula for the Area of a Sector 3.4.2 Video Notes (Deriving the Formula for the Area of a Sector) https://www.youtube.com/watch?v=5WvH-uaZ9uY

https://www.youtube.com/watch?v=tD6wigYAYMk

CCGPS AG 3.4.2 Example 1

A circle has a radius of 24 units. Find the area of a sector with a central angle of 30∘

http://www.geogebratube.org/material/show/id/26756

CCGPS AG 3.4.2 Example 3

A circle has a radius of 6 units. Find the area of a sector with an arc length of 9 units

http://www.geogebratube.org/material/show/id/26757

3.5.1: Circumference and Area of a Circle 3.5.1 Video Notes (Finding Pi by Archimedes' Method)

https://www.youtube.com/watch?v=_rJdkhlWZVQ

3.5.2: Volumes of Cylinders, Pyramids, and Cones 3.5.2 Video Notes (Volumes of Cylinders, Pyramids, and Cones - Physical Demonstration of The Formula for Volume Of Pyramid) https://www.youtube.com/watch?v=BjbilpBaA-U

3.5.2 Video Notes (Volumes of Cylinders, Pyramids, and Cones -Cavalieri’s Principle) https://www.youtube.com/watch?v=RyOPICodOlE

https://www.youtube.com/watch?v=CYp824FeJ9s

3.5.3: Volumes of Spheres and Other Solid Figures 3.5.3 Video Notes (Volumes of Spheres and Other Solid Figures - Volume of a Sphere) https://www.youtube.com/watch?v=0G30dNbbmJc

Video Notes on Each Topic Geogebra Links to Some Interactive Examples

19 | P a g e ©William Brown 2014

3.5.3 Video Notes (Volumes of Spheres and Other Solid Figures - Volume

Of Composite Shapes)

https://www.youtube.com/watch?v=3ZAtQ1XVX-I

3.5.3 Video Notes (Volumes of Spheres and Other Solid Figures - Volume

Of A Hemisphere)

https://www.youtube.com/watch?v=gSoMMnQn6MM

4.1.1: Defining, Rewriting, and Evaluating Rational Exponents 4.1.1 Video Notes (Defining, Rewriting, and Evaluating Rational Exponents - Applying Basic Rules of Exponents - Examples 1) https://www.youtube.com/watch?v=wsaH5CARIHI

4.1.1 Video Notes (Defining, Rewriting, and Evaluating Rational Exponents - Applying Basic Rules of Exponents - Examples 2) https://www.youtube.com/watch?v=X72qoK6i2B8

4.1.1 Video Notes (Defining, Rewriting, and Evaluating Rational Exponents - Applying Basic Rules of Exponents - Examples 3) https://www.youtube.com/watch?v=gsYEe-JxS5k

4.1.1 Video Notes (Defining, Rewriting, and Evaluating Rational Exponents - Evaluating Numbers with Rational Exponents by using Radical Notation) https://www.youtube.com/watch?v=wp2Ho985DyI

4.1.1 Video Notes (Defining, Rewriting, and Evaluating Rational Exponents

- Simplifying Radical Expressions Involving Variables)

https://www.youtube.com/watch?v=e1ZyEnps0Js

4.1.1 Video Notes (Defining, Rewriting, and Evaluating Rational Exponents - Negative Exponents) https://www.youtube.com/watch?v=Sqjy1RGYn_M

Video Notes on Each Topic Geogebra Links to Some Interactive Examples

20 | P a g e ©William Brown 2014

CCGPS AG 4.1.1 Example 2

How can the expression 8th root of a raised to the c be rewritten using a rational exponent?

http://www.geogebratube.org/material/show/id/30474

CCGPS AG 4.1.1 Example 3

Evaluate the exponential expression (3^1 over 3)^4 over 3. Round your answer to the nearest

thousandth

http://www.geogebratube.org/material/show/id/30480

4.1.2: Rational and Irrational Numbers and Their Properties 4.1.2 Video Notes (Rational and Irrational Numbers and Their Properties - Rational and Irrational Exponents) https://www.youtube.com/watch?v=lCnNXmcoCQM

4.1.2 Video Notes (Rational and Irrational Numbers and Their Properties - Irrational Exponents) https://www.youtube.com/watch?v=Rhd3SBJjmyM

https://www.youtube.com/watch?v=_no_S7kLWyk

CCGPS AG 4.1.2 Example 1

Simplify the expression a^6/5∙a^3/2

http://www.geogebratube.org/material/show/id/30481

CCGPS AG 4.1.2 Example 2

Simplify the expression b^ 7 over 9 divided by b^ 8 over 3

http://www.geogebratube.org/material/show/id/30482

4.2.1: Adding and Subtracting Polynomials

4.2.1 Video Notes (Adding and Subtracting Polynomials) https://www.youtube.com/watch?v=IDpnNnjFB1c

CCGPS AG 4.2.1 Example 1

Find the sum of (4+3x)+(2+x)

http://www.geogebratube.org/material/show/id/30483

Video Notes on Each Topic Geogebra Links to Some Interactive Examples

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CCGPS AG 4.2.1 Example 3

Find the difference of (x^5+8)–(3x^5+5)

http://www.geogebratube.org/material/show/id/30511

4.2.2: Multiplying Polynomials 4.2.2 Video Notes (Multiplying Polynomials - Using FOIL and Using the Distributive Property) https://www.youtube.com/watch?v=gg6vUnElXqo

CCGPS AG 4.2.2 Example 2

Find the product of (x^3+9x)(–x^2+11)

http://www.geogebratube.org/material/show/id/30512

CCGPS AG 4.2.2 Example 3

Find the product of (3x+4)(x^2+6x+10)

http://www.geogebratube.org/material/show/id/30485

4.3.1: Defining Complex Numbers, i, and i 2 4.3.1 Video Notes (Defining Complex Numbers, i, and i 2 - Intro and Examples Part 1) https://www.youtube.com/watch?v=9Fm8aUyf1Yo

4.3.1 Video Notes (Defining Complex Numbers, i, and i 2 - Examples Part 2) https://www.youtube.com/watch?v=1lND7Q_WNb0

4.3.1 Video Notes (Defining Complex Numbers, i, and i 2 - The Complex Plane, An Introduction) https://www.youtube.com/watch?v=EQviquyrDxA

CCGPS AG 4.3.1 Example 3

Rewrite the radical √−32 using the imaginary unit i

http://www.geogebratube.org/material/show/id/30523

CCGPS AG 4.3.1 Example 4

Simplify i57

.

http://www.geogebratube.org/material/show/id/30487

Video Notes on Each Topic Geogebra Links to Some Interactive Examples

22 | P a g e ©William Brown 2014

4.3.2: Adding and Subtracting Complex Numbers 4.3.2 Video Notes (Adding and Subtracting Complex Numbers -

Mathematical Operations )

https://www.youtube.com/watch?v=H_50Y36AK4k

CCGPS AG 4.3.2 Example 2

Is (5+6i9)–(5+3i

15) wholly real or wholly imaginary, or does it have both a real and an imaginary

part?

http://www.geogebratube.org/material/show/id/30488

CCGPS AG 4.3.2 Example 3

Is (12–i20

)+(–18–4i18

) wholly real or wholly imaginary, or does it have both a real and an

imaginary part?

http://www.geogebratube.org/material/show/id/30527

4.3.3: Multiplying Complex Numbers

4.3.3 Video Notes (Adding and Subtracting Complex Numbers -

Mathematical Operations )

https://www.youtube.com/watch?v=H_50Y36AK4k

CCGPS AG 4.3.3 Example 1

Find the result of i^2∙5i

http://www.geogebratube.org/material/show/id/30494

CCGPS AG 4.3.3 Example 2

Find the result of (7+2i)(4+3i)

http://www.geogebratube.org/material/show/id/30497

4.3.4: Dividing Complex Numbers 4.3.4 Video Notes (Dividing Complex Numbers - Conjugates and Division) https://www.youtube.com/watch?v=r0GeTFq4PM0

Video Notes on Each Topic Geogebra Links to Some Interactive Examples

23 | P a g e ©William Brown 2014

4.3.4 Video Notes (Dividing Complex Numbers) https://www.youtube.com/watch?v=tl08F5BEzz8

CCGPS AG 4.3.4 Example 2

Find the result of (10+6i)÷(2–i)

http://www.geogebratube.org/material/show/id/30500

CCGPS AG 4.3.4 Example 3

Find the result of (4–4i)÷(3–4i3).

http://www.geogebratube.org/material/show/id/30503

5.1.1: Identifying Terms, Factors, and Coefficients

5.1.1 Video Notes (Identifying Terms, Factors, and Coefficients -

Monomials, Binomials and Trinomials )

http://www.youtube.com/watch?v=-363WEeLU2E

5.1.1 Video Notes (Identifying Terms, Factors, and Coefficients - Adding and Subtracting Polynomials)

http://www.youtube.com/watch?v=egPRVWOjfVw

CCGPS AG 5.1.1 Example 1

Identify each term, coefficient, and constant of 6(x–1)–x(3–2x)+12. Classify the expression as a

monomial, binomial, or trinomial. Determine whether it is a quadratic expression.

http://www.geogebratube.org/material/show/id/32047

5.1.1 Video Notes (Identifying Terms, Factors, and Coefficients - Adding and Subtracting Polynomials More Examples) http://www.youtube.com/watch?v=RfcS4Vh5YR0

5.1.2: Interpreting Complicated Expressions 5.1.2 Video Notes (Interpreting Complicated Expressions Proportions in Side Length, Surface Area, and Volume - Perimeter and Area of Similar Figures) http://www.youtube.com/watch?v=Yq2vs59W2VU

Video Notes on Each Topic Geogebra Links to Some Interactive Examples

24 | P a g e ©William Brown 2014

CCGPS AG 5.1.2 Example 3

The length of each side of a square is increased by 2 centimeters. How does the perimeter

change? How does the area change?

http://www.geogebratube.org/material/show/id/32507

5.2.1: Taking the Square Root of Both Sides 5.2.1 Video Notes (Taking the Square Root of Both Sides - Solve Quadratics by Taking Square Root of Both Sides) http://www.youtube.com/watch?v=P1738bN3fFk

CCGPS AG 5.2.1 Example 3

Solve 4(x+3)2–10=–6 for x

http://www.geogebratube.org/material/show/id/32860

5.2.2: Factoring 5.2.2 Video Notes (Factoring - Solving Quadratic Equations by Factoring and by Taking Square Roots) http://www.youtube.com/watch?v=XK71XKvT3vI

5.2.2 Video Notes (Factoring How to Solve Quadratic Equations By Factoring - The Magic X) http://www.youtube.com/watch?v=IKyUuvulIbk

CCGPS AG 5.2.2 Example 2

Solve 8x2–8=–x

2+56 by factoring

http://www.geogebratube.org/material/show/id/32861

CCGPS AG 5.2.2 Example 3

Solve x2+8x=20 by factoring

http://www.geogebratube.org/material/show/id/32862

5.2.3: Completing the Square 5.2.3 Video Notes (Completing the Square) http://www.youtube.com/watch?v=bclm1tJB-3g

Video Notes on Each Topic Geogebra Links to Some Interactive Examples

25 | P a g e ©William Brown 2014

CCGPS AG 5.2.3 Example 2

Solve x^2+6x+4=0 by completing the square

http://www.geogebratube.org/material/show/id/32863

CCGPS AG 5.2.3 Example 3

Solve 5x^2–50x–120=0 by completing the square

http://www.geogebratube.org/material/show/id/32864

5.2.4: Applying the Quadratic Formula 5.2.4 Video Notes (Applying the Quadratic Formula - Solving) http://www.youtube.com/watch?v=EeVqtpuMFOU

5.2.4 Video Notes (Applying the Quadratic Formula - Discriminant of Quadratic Equations) http://www.youtube.com/watch?v=JBSDQLZtjFo

CCGPS AG 5.2.4 Example 2

Use the discriminant of 3x2–5x+1=0 to identify the number and type of solutions

http://www.geogebratube.org/material/show/id/32867

CCGPS AG 5.2.4 Example 3

Solve 2x^2–5x=12 using the quadratic formula

http://www.geogebratube.org/material/show/id/32869

5.2.5: Solving Quadratic Inequalities

5.2.5 Video Notes (Solving Quadratic Inequalities) http://www.youtube.com/watch?v=t54ccHYVhoo

CCGPS AG 5.2.5 Example 1

For what values of x is (x–2)(x+10)>0?

http://www.geogebratube.org/material/show/id/32870

CCGPS AG 5.2.5 Example 2

Solve x2+8x+7≤0. Graph the solutions on a number line

http://www.geogebratube.org/material/show/id/32871

Video Notes on Each Topic Geogebra Links to Some Interactive Examples

26 | P a g e ©William Brown 2014

5.3.1: Creating and Graphing Equations Using Standard Form 5.3.1 Video Notes (Creating and Graphing Equations Using Standard Form - How to Graph Quadratic Functions in Standard Form) http://www.youtube.com/watch?v=PwkqrY7edSc 5.3.1 Video Notes (Creating and Graphing Equations Using Standard Form - Quick Way of Graphing a Quadratic Function in Standard Form) http://www.youtube.com/watch?v=vphPafWDZkw

5.3.2: Creating and Graphing Equations Using the x-intercepts 5.3.2 Video Notes (Creating and Graphing Equations Using the x-intercepts http://www.youtube.com/watch?v=7GHsJNBwt9E

5.3.3: Creating and Graphing Equations Using Vertex Form 5.3.3 Video Notes (Creating and Graphing Equations Using Vertex Form) https://www.youtube.com/watch?v=vpTvNFXvj38

CCGPS AG 5.3.3 Example

Determine the equation of a quadratic function that has a minimum at (–4,–8) and passes through

the point (–2,–5).

http://www.geogebratube.org/material/show/id/32558

5.3.4: Rearranging Formulas 5.3.4 Video Notes (Rearranging Formulas) https://www.youtube.com/watch?v=G7hOY_306O4

https://www.youtube.com/watch?v=OOWAOi9a5dg

CCGPS AG 5.3.4 Example 1

Solve the equation x2+y

2=100 for y

http://www.geogebratube.org/material/show/id/32560

Video Notes on Each Topic Geogebra Links to Some Interactive Examples

27 | P a g e ©William Brown 2014

5.4.1: Solving Systems Graphically 5.4.1 Video Notes (Solving Systems Graphically) https://www.youtube.com/watch?v=kh38OXx34Vc

5.4.1 Video Notes (Solving A System of Quadratic and Linear Equations Graphically) https://www.youtube.com/watch?v=kskHXX15304

CCGPS AG 5.4.1 Example 1

Graph the system of equations below to determine the real solution(s), if any exist for

y=x2+2x−2 and y=2x−2

http://www.geogebratube.org/material/show/id/32521

CCGPS AG 5.4.1 Example 2

Graph the system of equations below to determine the real solution(s), if any exist: y=3x and

y=x2+4x−2

http://www.geogebratube.org/material/show/id/32528

5.4.2: Solving Systems Algebraically 5.4.2 Video Notes (Solving Systems Algebraically)

https://www.youtube.com/watch?v=fKPg2zk22iQ

CCGPS AG 5.4.2 Example 1

Solve the given system of equations algebraically: y=x2−11x+28 and y=−3x+12

http://www.geogebratube.org/material/show/id/32533

CCGPS AG 5.4.2 Example 2

Solve the given system of equations algebraically: y=2x2+13x+15 and y=x−1

http://www.geogebratube.org/material/show/id/32536

5.5.1: Interpreting Key Features of Quadratic Functions 5.5.1 Video Notes (Interpreting Key Features of Quadratic Functions) https://www.youtube.com/watch?v=WjvtmmH0J0o

CCGPS AG 5.5.1 Example 2

A function has a minimum value of –5 and x-intercepts of –8 and 4. What is the value of x that

minimizes the function? For what values of x is the function increasing? Decreasing?

http://www.geogebratube.org/material/show/id/32873

Video Notes on Each Topic Geogebra Links to Some Interactive Examples

28 | P a g e ©William Brown 2014

5.5.2: Identifying the Domain of a Quadratic Function 5.5.2 Video Notes (Identifying the Domain of a Quadratic Function - How to find domain and range) https://www.youtube.com/watch?v=W72Fy8Xdx48

https://www.youtube.com/watch?v=nw6WZWcscl8

CCGPS AG 5.5.2 Example 1

Describe the domain of the quadratic function g(x)=1.5x2

http://www.geogebratube.org/material/show/id/33035

CCGPS AG 5.5.2 Example 2

Describe the domain of the following function

http://www.geogebratube.org/material/show/id/33039

5.5.3: Identifying the Average Rate of Change 5.5.3 Video Notes (Identifying the Average Rate of Change) https://www.youtube.com/watch?v=-rzzY2iWWxw

CCGPS AG 5.5.3 Example 1

Calculate the average rate of change for the function f(x)=x2+6x+9 between x=1 and x=3.

http://www.geogebratube.org/material/show/id/33041

CCGPS AG 5.5.3 Example 2

Use the graph of the function to calculate the average rate of change between x=–3 and x=–2

http://www.geogebratube.org/material/show/id/33042

5.6.1: Graphing Quadratic Functions 5.6.1 Video Notes (Graphing Quadratic Functions) https://www.youtube.com/watch?v=mDwN1SqnMRU

**5.6.1 Video Notes (Creating the Equation of a Quadratic Function from the Graph) https://www.youtube.com/watch?v=vAPPYoBV2Ow

Video Notes on Each Topic Geogebra Links to Some Interactive Examples

29 | P a g e ©William Brown 2014

CCGPS AG 5.6.1 Example 1

Given the function f(x)=–2x2+16x–30, identify the key features of the graph: the extremum,

vertex, x-intercept(s), and y-intercept. Then sketch the graph.

http://www.geogebratube.org/material/show/id/33043

CCGPS AG 5.6.1 Example 3

Given the function f(x)=–2(x+1)(x+5), identify the key features of its graph: the extremum,

vertex, x-intercept(s), and y-intercept. Then sketch the graph.

http://www.geogebratube.org/material/show/id/33044

5.6.2: Writing Equivalent Forms of Quadratic Functions 5.6.2 Video Notes (Writing Equivalent Forms of Quadratic Functions - Writing Quadratic Functions in Vertex Form by Completing the Square) https://www.youtube.com/watch?v=Nt0Yk-0aFWQ

https://www.youtube.com/watch?v=sth8d_LvNuI

5.6.2 Video Notes (Writing Equivalent Forms of Quadratic Functions - How to Write Quadratic Functions in an Equivalent Form as a Product of 2 Linear Functions) https://www.youtube.com/watch?v=rrmTtmlnHac

5.6.2 Video Notes (Writing Equivalent Forms of Quadratic Functions - Writing Quadratic Functions From Vertex Form to Standard Form) https://www.youtube.com/watch?v=JiP3-epY8Ko

5.6.3: Comparing Properties of Functions Given in Different Forms 5.6.3 Video Notes (Comparing Properties of Functions Given in Different Forms) https://www.youtube.com/watch?v=0NH_b28ga3c (Not the best example - I could not find

any videos that closely corresponded to this standard - We will have to create our own.)

5.7.1: Building Functions from Context 5.7.1 Video Notes (Building Functions from Context - f(g(h(x)))) https://www.youtube.com/watch?v=dvdI_FvOsuc

Video Notes on Each Topic Geogebra Links to Some Interactive Examples

30 | P a g e ©William Brown 2014

5.7.1 Video Notes (Building Functions from Context -f(g(x) Solved Graphically) https://www.youtube.com/watch?v=9XC89gORz84

CCGPS AG 5.7.2 Example 1

Let f(x)=x2–3x+4 and g(x)=x

2+6x–3. Build a new function, h(x), for which h(x)=(f+g)(x).

http://www.geogebratube.org/material/show/id/32542

5.7.2: Operating on Functions 5.7.2 Video Notes (Operating on Functions - Operations on Functions & Composition of Functions) https://www.youtube.com/watch?v=pKCWSNtQpl4

5.8.1: Replacing f (x ) with f (x ) + k and f (x + k) 5.8.1 Video Notes (Replacing f (x ) with f (x ) + k and f (x + k) - Horizontal and Vertical Shift Basics) https://www.youtube.com/watch?v=KoQBK9tT5Go

CCGPS AG 5.8.1 Example 1

Consider the function f(x)=x2 and the constant k=2. What is f(x)+k? How are the graphs of f(x)

and f(x)+k different?

http://www.geogebratube.org/material/show/id/33049

5.8.2: Replacing f (x ) with k • f (x ) and f (k • x) 5.8.2 Video Notes (Replacing f (x ) with k • f (x ) and f (k • x) - Stretching, Compressing and Flipping Parabolas) https://www.youtube.com/watch?v=4ge0djk2HJk

5.9.1: Solving Problems Given Functions Fitted to Data 5.9.1 Video Notes (Solving Problems Given Functions Fitted to Data) No Video Available - we will have to make one

Video Notes on Each Topic Geogebra Links to Some Interactive Examples

31 | P a g e ©William Brown 2014

5.9.2: Fitting a Function to Data 5.9.2 Video Notes (Fitting a Function to Data - Quadratic Regression) https://www.youtube.com/watch?v=z_hEVWSkQHo

6.1.1: Deriving the Equation of a Circle 6.1.1 Video Notes (Deriving the Equation of a Circle - Write General Equation of a Circle in Standard Form) https://www.youtube.com/watch?v=Xmde2JLKAFQ

6.1.1 Video Notes (Deriving the Equation of a Circle - Find Standard Equation of a Circle Given Center and Point on the Circle) https://www.youtube.com/watch?v=k5Z3qb052Ek

CCGPS AG 6.1.1 Example 3

Write the standard equation and the general equation of the circle that has center (–1,3) and

passes through (–5,5).

http://www.geogebratube.org/material/show/id/28990

CCGPS AG 6.1.1 Example 5

Find the center and radius of the circle described by the equation 4x2+4y2+20x–40y+116=0

http://www.geogebratube.org/material/show/id/28991

6.1.2: Deriving the Equation of a Parabola 6.1.2 Video Notes (Deriving the Equation of a Parabola - Conic Sections: Parabolas, Part 1) https://www.youtube.com/watch?v=-1MzoyzWxo4

6.1.2 Video Notes (Deriving the Equation of a Parabola - Conic Sections: Parabolas, Part 2 (Directrix and Focus)) https://www.youtube.com/watch?v=04nBaKx9wiM

6.1.2 Video Notes (Deriving the Equation of a Parabola - Conic Sections: Parabolas, Part 3 (Focus and Directrix)) https://www.youtube.com/watch?v=z3rUn1Urj4Y

Video Notes on Each Topic Geogebra Links to Some Interactive Examples

32 | P a g e ©William Brown 2014

6.1.2 Video Notes (Deriving the Equation of a Parabola - Finding the Equation of a Parabola Passing Through Three Points) https://www.youtube.com/watch?v=RQHqd050FqE

6.1.2 Video Notes (Deriving the Equation of a Parabola - Find Equation of Parabola Given the Focus) https://www.youtube.com/watch?v=qxjs3NHI5T8

6.2.1: Using Coordinates to Prove Geometric Theorems About Circles and Parabolas 6.2.1 Video Notes (Using Coordinates to Prove Geometric Theorems About Circles and Parabolas -Prove whether a point is on a circle ) https://www.youtube.com/watch?v=sgjlkcy057Q

CCGPS AG 6.2.1 Example 1

Given the point A(–6,0), prove or disprove that point A is on the circle centered at the origin and

passing through (−2,−4√2)

http://www.geogebratube.org/material/show/id/28994

CCGPS AG 6.2.1 Example 2

Prove or disprove that the quadratic function graph with vertex (–4,0) and passing through (0,8)

has its focus at (–4,1).

http://www.geogebratube.org/material/show/id/28996

6.3.1: Solving Systems of Linear Equations and Circles 6.3.1 Video Notes (Solving Systems of Linear Equations and Circles -Finding points of intersection between a line and a circle) https://www.youtube.com/watch?v=c8nBAY9iMKI

6.3.1 Video Notes (Solving Systems of Linear Equations and Circles -with a Graphing Calculator) https://www.youtube.com/watch?v=RthEoEitF4M

Video Notes on Each Topic Geogebra Links to Some Interactive Examples

33 | P a g e ©William Brown 2014

7.1.1: Describing Events

7.1.1 Video Notes (Describing Events - Venn Diagrams: Shading Regions for Two Sets https://www.youtube.com/watch?v=b6t0994ZZDA

7.1.1 Video Notes (Describing Events -Venn Diagrams: Shading Regions with Three Sets, Part 1 of 2) https://www.youtube.com/watch?v=7JFgPxC_1FI

7.1.1 Video Notes (Describing Events -Venn Diagrams: Shading Regions with Three Sets, Part 2 of 2) https://www.youtube.com/watch?v=l5Y3NHq4Ebg

7.1.1 Video Notes (Describing Events - Probability - 2 Dice Roll Example) https://www.youtube.com/watch?v=Z-vQbbeBgZU

7.1.1 Video Notes (Describing Events - Conditional Probability Problem with Two Dice) https://www.youtube.com/watch?v=VJxBDlnaFlY

CCGPS AG 7.1.1 Example 5

An experiment consists of rolling a pair of dice. How many ways can you roll the dice so that the

product of the two numbers rolled is less than their sum?

http://www.geogebratube.org/material/show/id/31637

7.1.2: The Addition Rule

7.1.2 Video Notes (The Addition Rule - Addition Rule for Probability)

https://www.youtube.com/watch?v=QE2uR6Z-NcU

7.1.3: Understanding Independent Events

7.1.3 Video Notes (Understanding Independent Events - Compound

Probability of Independent Events)

https://www.youtube.com/watch?v=xSc4oLA9e8o

Video Notes on Each Topic Geogebra Links to Some Interactive Examples

34 | P a g e ©William Brown 2014

7.2.1: Introducing Conditional Probability

7.2.1 Video Notes (Introducing Conditional Probability - How to Calculate

Conditional Probability)

https://www.youtube.com/watch?v=H02B3aMNKzE

7.2.2 Using Two-Way Frequency Tables

7.2.2 Video Notes (Using Two-Way Frequency Tables - Two Way

Frequency Table)

https://www.youtube.com/watch?v=y_35ZYHvwQc

7.2.2 Video Notes (Using Two-Way Frequency Tables - Two-way

Frequency Tables (statistics))

https://www.youtube.com/watch?v=xpqcUsEZenk

Other Resources

Construction Help - http://www.mathsisfun.com/geometry/constructions.html

Parallel Lines and Pairs of Angles - http://www.mathsisfun.com/geometry/parallel-

lines.html

Study Stack Flash Cards - Geometry Definitions -

http://www.studystack.com/flashcard-377918 and http://www.studystack.com/flashcard-

335140