Video Notes on Each Topic Geogebra Links to Some Interactive Examples€¦ · Geogebra Links to...
Transcript of Video Notes on Each Topic Geogebra Links to Some Interactive Examples€¦ · Geogebra Links to...
Video Notes on Each Topic Geogebra Links to Some Interactive Examples
1 | P a g e ©William Brown 2014
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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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
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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