Probability and Statistics Lecture 9

Lesson Objectives - the students should be able to:

• Define Normal Distributions and Normal Distributions
• Learn the properties of Normal Distributions
• Understand The Standard Normal Table
• Find Areas Under the Standard Normal Curve
• Find probabilities in Normal Distributions
• Find values in Normal Distributions
• Find z-Scores
• Find a z-Score Given a Percentile
• Transform a z-Score to an x-Score
• Find a Specific Data Value
• Learn Sampling Distributions
• Learn The Central Limit Theorem

LESSON OUTLINE:

• Properties of Normal Distributions
• Means and Standard Deviations
• The Standard Normal Distribution
• The Standard Normal Table
• Guidelines for Finding Areas
• Probability and Normal Distributions
• Finding z-Scores
• Finding a z-Score Given a Percentile
• Transforming a z-Score to an x-Score
• Finding a Specific Data Value
• Sampling Distributions
• Properties of Sampling Distributions
• Sampling Distribution of Sample Means
• The Central Limit Theorem
• The Mean and Standard Error
• Probability and Normal Distributions
• Probabilities of x and x
• Seatwork/Exercies
• Homework

Probability and Statistics Lecture 9

Back to Homepage

• Probability and Statistics Course Outline

Download Lecture

---

credit: ©2013 www.FroydWess.com

Read More »

Analytic Geometry Lecture 13

Lesson Objectives - the students should be able to:

• Classify equations of the conic sections into parabola, ellipse, and hyperbola
• Graph the hyperbola with vertex at the origin.
• Graph the hyperbola with vertex at (h, k)
• Solve problems regarding hyperbola, finding the vertices, eccentricity and length of the latus rectum.
• Find the equation of the hyperbola with vertex at the origin.
• Find the equation of the hyperbola with vertex at (h, k)
• Know the some real life applications of hyperbola.

LESSON OUTLINE:

• Definition
• General Rules of the Hyperbola
• Properties of the Hyperbola
• HYPERBOLA WITH VERTEX AT THE ORIGIN
• Important Relations and Theorems of Hyperbola
• Seatwork
• Homework
• HYPERBOLA WITH VERTEX AT (h,k)
• Properties of the Hyperbola WITH VERTEX AT (h,k)
• Examples
• Formulas of the Hyperbola
• Summaries
• Seatwork
• Homework

Analytic Geometry Lecture 13

Analytic Geometry Course Outline

Following is the list of topics we will discuss in this course:

I. Plane Analytic Geometry

LESSON 1: Introduction to Geometry, Directed Line Segments, The Cartesian Plane, Distance Formula

LESSON 2: Midpoint of a Line, Point-of-Division Formulas

LESSON 3: Slope of a Line in term of Angle inclination, Slope of a line in terms of Coordinate

LESSON 4: Slope of Perpendicular lines, Slope of Parallel Lines, Angle formed between two lines

LESSON 5: Finding the equation of a line using Two-point Form and Intercept Form

LESSON 6: Finding the equation of a line using Slope-Point Form and Slope-Intercept Form

LESSON 7: Finding the other forms of equation of a lines and Finding the Family of Lines

LESSON 8: Changing from General Form to Standard Equation of a line and Finding distance from line to a point

LESSON 9: Standard form of the equation of the circle, Equation of circles with center at origin, General form of the equation of a circle

LESSON 10: Determine Circles by Geometric Conditions

LESSON 11: Conic Sections: Parabola

LESSON 12: Conic Sections: Ellipse

LESSON 13: Conic Sections: Hyperbola

Download Lecture

---

credit: ©2013 www.FroydWess.com

Read More »

Analytic Geometry Lecture 12

Lesson Objectives - the students should be able to:

• Classify equations of the conic sections into parabola, ellipse, and hyperbola
• Graph the ellipse with vertex at the origin.
• Graph the ellipse with vertex at (h, k)
• Solve problems regarding ellipse, finding the vertices, eccentricity and length of the latus rectum.
• Find the equation of the ellipse with vertex at the origin.
• Find the equation of the ellipse with vertex at (h, k)
• Know the some real life applications of ellipse.

LESSON OUTLINE:

• Definition
• General Rules of the Ellipse
• Properties of the Ellipse
• ELLIPSE WITH VERTEX AT THE ORIGIN
• Seatwork
• Homework
• ELLIPSE WITH VERTEX AT (h,k)
• Properties of the Ellipse WITH VERTEX AT (h,k
• Examples
• Formulas of the Ellipse
• Summaries
• Seatwork
• Homework

Analytic Geometry Lecture 12

Analytic Geometry Course Outline

Following is the list of topics we will discuss in this course:

I. Plane Analytic Geometry

LESSON 1: Introduction to Geometry, Directed Line Segments, The Cartesian Plane, Distance Formula

LESSON 2: Midpoint of a Line, Point-of-Division Formulas

LESSON 3: Slope of a Line in term of Angle inclination, Slope of a line in terms of Coordinate

LESSON 4: Slope of Perpendicular lines, Slope of Parallel Lines, Angle formed between two lines

LESSON 5: Finding the equation of a line using Two-point Form and Intercept Form

LESSON 6: Finding the equation of a line using Slope-Point Form and Slope-Intercept Form

LESSON 7: Finding the other forms of equation of a lines and Finding the Family of Lines

LESSON 8: Changing from General Form to Standard Equation of a line and Finding distance from line to a point

LESSON 9: Standard form of the equation of the circle, Equation of circles with center at origin, General form of the equation of a circle

LESSON 10: Determine Circles by Geometric Conditions

LESSON 11: Conic Sections: Parabola

LESSON 12: Conic Sections: Ellipse

LESSON 13: Conic Sections: Hyperbola

Download Lecture

---

credit: ©2013 www.FroydWess.com

Read More »

Analytic Geometry Lecture 11

Lesson Objectives - the students should be able to:

• Classify equations of the conic sections into parabola, ellipse, and hyperbola
• Graph the parabola in different standard positions with vertex at the origin.
• Graph the parabola with vertex at (h, k)
• Solve problems regarding parabola, finding the vertex, eccentricity and length of the latus rectum.
• Know the different real life applications of parabola.

LESSON OUTLINE:

• Definition
• Parabola with vertex at the origin
• Parabola opening to the right
• Parabola opening to the left
• Parabola opening upward
• Parabola opening downward
• Seatwork
• Homework
• PARABOLA WITH VERTEX AT (h,k)
• Case I : Axis is parallel to the x-axis and the parabola opens to the right,
• Case II : Axis is parallel to the x-axis and the parabola opens to the left,
• Case III : Axis is parallel to the y-axis and the parabola opens upward,
• Case IV : Axis is parallel to the y-axis and the parabola opens downward,
• Examples
• Summaries
• Seatwork
• Homework

Analytic Geometry Lecture 11

Analytic Geometry Course Outline

Following is the list of topics we will discuss in this course:

I. Plane Analytic Geometry

LESSON 1: Introduction to Geometry, Directed Line Segments, The Cartesian Plane, Distance Formula

LESSON 2: Midpoint of a Line, Point-of-Division Formulas

LESSON 3: Slope of a Line in term of Angle inclination, Slope of a line in terms of Coordinate

LESSON 4: Slope of Perpendicular lines, Slope of Parallel Lines, Angle formed between two lines

LESSON 5: Finding the equation of a line using Two-point Form and Intercept Form

LESSON 6: Finding the equation of a line using Slope-Point Form and Slope-Intercept Form

LESSON 7: Finding the other forms of equation of a lines and Finding the Family of Lines

LESSON 8: Changing from General Form to Standard Equation of a line and Finding distance from line to a point

LESSON 9: Standard form of the equation of the circle, Equation of circles with center at origin, General form of the equation of a circle

LESSON 10: Determine Circles by Geometric Conditions

LESSON 11: Conic Sections: Parabola

LESSON 12: Conic Sections: Ellipse

LESSON 13: Conic Sections: Hyperbola

Download Lecture

---

credit: ©2013 www.FroydWess.com

Read More »

Analytic Geometry Lecture 10

Lesson Objectives - the students should be able to:

• Determine Circles by Geometric Conditions
• Find the equation of a circle if the circle is tangent to the line.
• Find the points of intersection between the line and the circle.
• Show the two circles are tangent externally.
• Find the points of intersection of two circles.
• Find the equation of the circle inscribed in a triangle.

LESSON OUTLINE:

• Determine Circles by Geometric Conditions
• Circle tangent to the line
• Intersection between the line and the circle
• Two circle tangent externally
• Points of intersection of two circles
• Circle inscribed in a triangle
• Seatwork
• Homework

Analytic Geometry Lecture 10

Analytic Geometry Course Outline

Following is the list of topics we will discuss in this course:

I. Plane Analytic Geometry

LESSON 1: Introduction to Geometry, Directed Line Segments, The Cartesian Plane, Distance Formula

LESSON 2: Midpoint of a Line, Point-of-Division Formulas

LESSON 3: Slope of a Line in term of Angle inclination, Slope of a line in terms of Coordinate

LESSON 4: Slope of Perpendicular lines, Slope of Parallel Lines, Angle formed between two lines

LESSON 5: Finding the equation of a line using Two-point Form and Intercept Form

LESSON 6: Finding the equation of a line using Slope-Point Form and Slope-Intercept Form

LESSON 7: Finding the other forms of equation of a lines and Finding the Family of Lines

LESSON 8: Changing from General Form to Standard Equation of a line and Finding distance from line to a point

LESSON 9: Standard form of the equation of the circle, Equation of circles with center at origin, General form of the equation of a circle

LESSON 10: Determine Circles by Geometric Conditions

LESSON 11: Conic Sections: Parabola

LESSON 12: Conic Sections: Ellipse

LESSON 13: Conic Sections: Hyperbola

Download Lecture

---

credit: ©2013 www.FroydWess.com

Read More »

Probability and Statistics Lecture 8

Lesson Objectives - the students should be able to:

• Define Probability
• Learn different terms used in Probability
• Differentiate types of Probability
• Could predict an outcome using Subjective Probability
• Could predict an outcome using Empirical Probability
• Learn the additional rule
• Learn the conditional probability and the multiplication rule

LESSON OUTLINE:

• Definition of terms
• Subjective Probability
• Classical Probability / Theoretical Probability
• Empirical Probability / Statistical Probability
• Law of Large Number
• Complementary Events
• The Addition Rule
• Conditional Probability and the Multiplication Rule
• The AND Rule of Probability
• NOT Rule
• Combining the Rules
• Summary
• Seatwork/Exercies
• Homework

Probability and Statistics Lecture 8

Back to Homepage

• Probability and Statistics Course Outline

Download Lecture

---

credit: ©2013 www.FroydWess.com

Read More »

Analytic Geometry Lecture 9

Lesson Objectives - the students should be able to:

• Determine the different forms of the equations of circles
• Standard form of the equation of the circle
• Equation of circles with center at origin
• General form of the equation of a circle

LESSON OUTLINE:

• How to find the standard form of the equation of the circle given the center and radius
• How to find the standard form of the equation of the circle with center at the origin
• How to reduce from general form to standard form of the equation of a circle
• Seatwork
• Homework

Analytic Geometry Lecture 9

Analytic Geometry Course Outline

Following is the list of topics we will discuss in this course:

I. Plane Analytic Geometry

LESSON 1: Introduction to Geometry, Directed Line Segments, The Cartesian Plane, Distance Formula

LESSON 2: Midpoint of a Line, Point-of-Division Formulas

LESSON 3: Slope of a Line in term of Angle inclination, Slope of a line in terms of Coordinate

LESSON 4: Slope of Perpendicular lines, Slope of Parallel Lines, Angle formed between two lines

LESSON 5: Finding the equation of a line using Two-point Form and Intercept Form

LESSON 6: Finding the equation of a line using Slope-Point Form and Slope-Intercept Form

LESSON 7: Finding the other forms of equation of a lines and Finding the Family of Lines

LESSON 8: Changing from General Form to Standard Equation of a line and Finding distance from line to a point

LESSON 9: Standard form of the equation of the circle, Equation of circles with center at origin, General form of the equation of a circle

LESSON 10: Determine Circles by Geometric Conditions

LESSON 11: Conic Sections: Parabola

LESSON 12: Conic Sections: Ellipse

LESSON 13: Conic Sections: Hyperbola

Download Lecture

---

credit: ©2013 www.FroydWess.com

Read More »

Analytic Geometry Lecture 8

Lesson Objectives - the students should be able to:

• Learn how to change from one coordinate system to another coordinate system
• Transform from a polar equation of a line to Cartesian coordinate system
• Change from General form to standard equation of a line
• Find the directed distance from line to a point

LESSON OUTLINE:

• How to change from one coordinate system to another coordinate system or vice versa
• How to transform from a polar equation of a line to Cartesian coordinate system
• How to change from General form to standard equation of a line
• Find the directed distance from line to a point
• Seatwork
• Homework

Analytic Geometry Lecture 8

Analytic Geometry Course Outline

Following is the list of topics we will discuss in this course:

I. Plane Analytic Geometry

LESSON 1: Introduction to Geometry, Directed Line Segments, The Cartesian Plane, Distance Formula

LESSON 2: Midpoint of a Line, Point-of-Division Formulas

LESSON 3: Slope of a Line in term of Angle inclination, Slope of a line in terms of Coordinate

LESSON 4: Slope of Perpendicular lines, Slope of Parallel Lines, Angle formed between two lines

LESSON 5: Finding the equation of a line using Two-point Form and Intercept Form

LESSON 6: Finding the equation of a line using Slope-Point Form and Slope-Intercept Form

LESSON 7: Finding the other forms of equation of a lines and Finding the Family of Lines

LESSON 8: Changing from General Form to Standard Equation of a line and Finding distance from line to a point

LESSON 9: Standard form of the equation of the circle, Equation of circles with center at origin, General form of the equation of a circle

LESSON 10: Determine Circles by Geometric Conditions

LESSON 11: Conic Sections: Parabola

LESSON 12: Conic Sections: Ellipse

LESSON 13: Conic Sections: Hyperbola

Download Lecture

---

credit: ©2013 www.FroydWess.com

Read More »

Analytic Geometry Lecture 7

Lesson Objectives - the students should be able to:

• Learn basic concepts about Cartesian Coordinates System
• Could draw regular polygons in Cartesian Coordinates System
• Apply learning in finding equation of a lines using
• Other Forms of Equation of a Lines
• Family of Lines

LESSON OUTLINE:

• Find the equation of the line using the other forms of equation of a lines
• Find the equation of the line using the family of lines
• Seatwork
• Homework

Analytic Geometry Lecture 7

Analytic Geometry Course Outline

Following is the list of topics we will discuss in this course:

I. Plane Analytic Geometry

LESSON 1: Introduction to Geometry, Directed Line Segments, The Cartesian Plane, Distance Formula

LESSON 2: Midpoint of a Line, Point-of-Division Formulas

LESSON 3: Slope of a Line in term of Angle inclination, Slope of a line in terms of Coordinate

LESSON 4: Slope of Perpendicular lines, Slope of Parallel Lines, Angle formed between two lines

LESSON 5: Finding the equation of a line using Two-point Form and Intercept Form

LESSON 6: Finding the equation of a line using Slope-Point Form and Slope-Intercept Form

LESSON 7: Finding the other forms of equation of a lines and Finding the Family of Lines

LESSON 8: Changing from General Form to Standard Equation of a line and Finding distance from line to a point

LESSON 9: Standard form of the equation of the circle, Equation of circles with center at origin, General form of the equation of a circle

LESSON 10: Determine Circles by Geometric Conditions

LESSON 11: Conic Sections: Parabola

LESSON 12: Conic Sections: Ellipse

LESSON 13: Conic Sections: Hyperbola

Download Lecture

---

credit: ©2013 www.FroydWess.com

Read More »

Analytic Geometry Lecture 6

Lesson Objectives - the students should be able to:

• Learn basic concepts about Cartesian Coordinates System
• Could draw regular polygons in Cartesian Coordinates System
• Apply learning in finding equation of a lines using
• Slope-Point Form
• Slope-Intercept Form

LESSON OUTLINE:

• Finding the equation of a line using Slope-Point Form
• Finding the equation of a line using Slope-Intercept Form
• Seatwork
• Homework

Analytic Geometry Lecture 6

Analytic Geometry Course Outline

Following is the list of topics we will discuss in this course:

I. Plane Analytic Geometry

LESSON 1: Introduction to Geometry, Directed Line Segments, The Cartesian Plane, Distance Formula

LESSON 2: Midpoint of a Line, Point-of-Division Formulas

LESSON 3: Slope of a Line in term of Angle inclination, Slope of a line in terms of Coordinate

LESSON 4: Slope of Perpendicular lines, Slope of Parallel Lines, Angle formed between two lines

LESSON 5: Finding the equation of a line using Two-point Form and Intercept Form

LESSON 6: Finding the equation of a line using Slope-Point Form and Slope-Intercept Form

LESSON 7: Finding the other forms of equation of a lines and Finding the Family of Lines

LESSON 8: Changing from General Form to Standard Equation of a line and Finding distance from line to a point

LESSON 9: Standard form of the equation of the circle, Equation of circles with center at origin, General form of the equation of a circle

LESSON 10: Determine Circles by Geometric Conditions

LESSON 11: Conic Sections: Parabola

LESSON 12: Conic Sections: Ellipse

LESSON 13: Conic Sections: Hyperbola

Download Lecture

---

credit: ©2013 www.FroydWess.com

Read More »

Analytic Geometry Lecture 5

Lesson Objectives - the students should be able to:

• Learn basic concepts about Cartesian Coordinates System
• Could draw regular polygons in Cartesian Coordinates System
• Apply learning in finding equation of a lines using
• Two-point Form
• Intercept Form

LESSON OUTLINE:

• Finding the equation of a line using Two-point Form
• Finding the equation of a line using Intercept Form
• Seatwork
• Homework

Analytic Geometry Lecture 5

Analytic Geometry Course Outline

Following is the list of topics we will discuss in this course:

I. Plane Analytic Geometry

LESSON 1: Introduction to Geometry, Directed Line Segments, The Cartesian Plane, Distance Formula

LESSON 2: Midpoint of a Line, Point-of-Division Formulas

LESSON 3: Slope of a Line in term of Angle inclination, Slope of a line in terms of Coordinate

LESSON 4: Slope of Perpendicular lines, Slope of Parallel Lines, Angle formed between two lines

LESSON 5: Finding the equation of a line using Two-point Form and Intercept Form

LESSON 6: Finding the equation of a line using Slope-Point Form and Slope-Intercept Form

LESSON 7: Finding the other forms of equation of a lines and Finding the Family of Lines

LESSON 8: Changing from General Form to Standard Equation of a line and Finding distance from line to a point

LESSON 9: Standard form of the equation of the circle, Equation of circles with center at origin, General form of the equation of a circle

LESSON 10: Determine Circles by Geometric Conditions

LESSON 11: Conic Sections: Parabola

LESSON 12: Conic Sections: Ellipse

LESSON 13: Conic Sections: Hyperbola

Download Lecture

---

credit: ©2013 www.FroydWess.com

Read More »

Probability and Statistics Lecture 7

Lesson Objectives - the students should be able to:

• Learn the Fundamental Principle of Counting
• Learn to compute the arrangement of an object using Permutation
• Learn to compute the arrangement of an object using Combination
• Differentiate Permutation and Combination
• Learn to compute Factorial

LESSON OUTLINE:

• Principle of Counting
• Permutation
• Combination
• Factorial
• Seatwork/Exercies
• Homework

Probability and Statistics Lecture 7

Back to Homepage

• Probability and Statistics Course Outline

Download Lecture

---

credit: ©2013 www.FroydWess.com

Read More »

Probability and Statistics Lecture 6

Lesson Objectives - the students should be able to:

• Define Correlation
• Differentiate types of Correlation
• Calculate Correlation Coefficient
• Define Residuals
• Define Regression line
• Find the equation of the Regression line
• Could predict the outcome using the equation of Regression line

LESSON OUTLINE:

• Correlation
• Types of Correlation
• Correlation Coefficient
• Measures of Correlation
• Calculating Correlation Coefficient
• Pearson product-moment correlation coefficient
• Spearman Rank-Order Correlation Coefficient (Spearman Rho)
• Goodman’s and Kruskal’s Gamma (G)
• Correlation between Nominal Data
• Linear Regression
• Residuals
• Regression Line
• EXERCISES
• HOMEWORK

Probability and Statistics Lecture 6

Back to Homepage

• Probability and Statistics Course Outline

Download Lecture

---

credit: ©2013 www.FroydWess.com

Read More »

Probability and Statistics Lecture 5

Lesson Objectives - the students should be able to:

• Learn the Measure of Position
• Calculate Quartiles
• Calculate Inter-quartile Range
• Understand Box and Whisker Plot
• Find Percentile and Decile
• Calculate Standard Scores
• Relative Z-Scores

LESSON OUTLINE:

• Quartiles
• Inter-quartile Range
• Box and Whisker
• Percentile
• Decile
• Standard Scores
• Relative Z-Scores
• EXERCISES
• HOMEWORK

Probability and Statistics Lecture 5

Back to Homepage

• Probability and Statistics Course Outline

Download Lecture

---

credit: ©2013 www.FroydWess.com

Read More »

Probability and Statistics Lecture 4

Lesson Objectives - the students should be able to:

• Learn the Measure of Variation
• Calculate the Range of Data set
• Calculate Deviation, Average Deviation
• Calculate Variance
• Calculate Standard Deviation
• Interpreting Standard Deviation

LESSON OUTLINE:

• RANGE
• SEMI-INTER QUARTILE RANGE
• DEVIATION
• AVERAGE DEVIATION VARIANCE
• COEFFICIENT OF VARIATION
• STANDARD DEVIATION
• EMPIRICAL RULE
• Chebychev’s Theorem
• EXERCISES
• HOMEWORK

Probability and Statistics Lecture 3

Back to Homepage

• Probability and Statistics Course Outline

Download Lecture

---

credit: ©2013 www.FroydWess.com

Read More »

Probability and Statistics Lecture 3

Lesson Objectives - the students should be able to:

• Learn the Measures of Central Tendency
• Calculate Mean of Grouped and Ungrouped Data
• Calculate Median of Grouped and Ungrouped Data
• Calculate Mode of Grouped and Ungrouped Data
• Differentiate Mean, Median and Mode
• Calculate Weighted Mean
• Calculate Mean of Frequency Distribution
• Learn different Shapes of Distributions

LESSON OUTLINE:

• Mean of Grouped and Ungrouped Data
• Median of Grouped and Ungrouped Data
• Mode of Grouped and Ungrouped Data
• Comparison of Mean, Median and Mode
• Weighted Mean
• Mean of Frequency Distributions
• Shapes of Distributions
• EXERCISES
• HOMEWORK

Probability and Statistics Lecture 3

Back to Homepage

• Probability and Statistics Course Outline

Download Lecture

---

credit: ©2013 www.FroydWess.com

Read More »

Analytic Geometry Lecture 4

Lesson Objectives - the students should be able to:

• Learn basic concepts about Cartesian Coordinates System
• Could draw regular polygons in Cartesian Coordinates System
• Apply learning in solving problems involving
• Slope of a Line
• Slope of Perpendicular Lines
• Slope of Parallel Lines
• Angle formed between two lines

LESSON OUTLINE:

• Slope of a Line
• Slope of Perpendicular lines
• Slope of Parallel Lines
• Angle formed between two lines
• Exercises
• More Problems

Analytic Geometry Lecture 4

Analytic Geometry Course Outline

Following is the list of topics we will discuss in this course:

I. Plane Analytic Geometry

LESSON 1: Introduction to Geometry, Directed Line Segments, The Cartesian Plane, Distance Formula

LESSON 2: Midpoint of a Line, Point-of-Division Formulas

LESSON 3: Slope of a Line in term of Angle inclination, Slope of a line in terms of Coordinate

LESSON 4: Slope of Perpendicular lines, Slope of Parallel Lines, Angle formed between two lines

LESSON 5: Finding the equation of a line using Two-point Form and Intercept Form

LESSON 6: Finding the equation of a line using Slope-Point Form and Slope-Intercept Form

LESSON 7: Finding the other forms of equation of a lines and Finding the Family of Lines

LESSON 8: Changing from General Form to Standard Equation of a line and Finding distance from line to a point

LESSON 9: Standard form of the equation of the circle, Equation of circles with center at origin, General form of the equation of a circle

LESSON 10: Determine Circles by Geometric Conditions

LESSON 11: Conic Sections: Parabola

LESSON 12: Conic Sections: Ellipse

LESSON 13: Conic Sections: Hyperbola

Download Lecture

---

credit: ©2013 www.FroydWess.com

Read More »