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Our Faculty
Nicki Rosa
BS, Mathematics
MS, Computer Science
Teaching Experience:
Head of Math Department, Community Prep School, Colorado Springs, CO
Founder, TotalMath.net

Michael Hosking
B.S., Biology;
Ph.D., Ecology, Evolution and Organismal Biology
Teaching experience:
Davidson College (Davidson, NC)

Gary Schwartz
M.S., Ph.D., Mathematics
Teaching experience:
University of Oklahoma, Northern Illinois University
Castle Rock


Lecture Hall - Current and Upcoming Lectures

ARCHIVED LECTURES
Date:
Time:
Length: 		2002.7.13
11:30 PM PST
15 min. 		Introduction to PersonalProfessors! — Please view before beginning your studies. MORE DETAILS…
Date:
Time:
Length: 		2002.9.3
11:00 AM PST
15 min. 		Variables & Expressions — Learn how to translate verbal expressions into mathematical expressions.The volume is a bit loud on this one so make sure to turn down your volume control on the RealONe player. MORE DETAILS…
Date:
Time:
Length: 		2002.9.4
11:00 AM PST
15 min. 		Evaluating Expressions — Learn the Order of Operations and how to use them to evaluate expressions. MORE DETAILS…
Date:
Time:
Length: 		2002.9.5
11:00 AM PST
15 min. 		Algebra Properties Part I — Learn how to recognize the Identity & Equality Properties and learn how to use the Distributive Property to simplify expressions. MORE DETAILS…
Date:
Time:
Length: 		2002.9.10
11:00 AM PST
19 min. 		The Distributive Property — Learn what the Distributive Property is and how it is used to simplify expressions. MORE DETAILS…
Date:
Time:
Length: 		2002.9.11
11:00 AM PST
13 min. 		Commutative and Associative Properties — Learn the definitions for the Commutative and Associative Properties and see examples using them as well as all the other properties discussed thus far. MORE DETAILS…
Date:
Time:
Length: 		2002.9.12
11:00 AM PST
18 min. 		FORMULAS! — Learn how to translate VERBAL sentences into EQUATIONS or FORMULAS! MORE DETAILS…
Date:
Time:
Length: 		2002.9.17
11:00 AM PST
18 min. 		Integers & the Number Line — Learn the placement of integers on a number line. Learn how to add & subtract integers with & without a number line. Learn what absolute value is. MORE DETAILS…
Date:
Time:
Length: 		2002.9.18
11:00 AM PST
15 min. 		Inequalities & the Number Line — Learn how to go from the graph to a written inequality and go from the written inequality to the graph. MORE DETAILS…
Date:
Time:
Length: 		2002.9.19
11:00 AM PST
10 min. 		Rational Numbers — What exactly is a rational number? We'll find out! As well as do several things with them! MORE DETAILS…
Date:
Time:
Length: 		2002.9.24
11:00 AM PST
15 min. 		Operations with Rational Numbers — This lesson will cover adding & subtracting rational numbers ... MORE DETAILS…
Date:
Time:
Length: 		2002.9.25
11:00 AM PST
13 min. 		Multiplying Rational Numbers — This lesson will cover a variety of examples involving multiplication. MORE DETAILS…
Date:
Time:
Length: 		2002.9.26
11:00 AM PST
9 min. 		Dividing Rational Numbers — This lesson will cover dividing rational expressions and introduce two new rules. MORE DETAILS…
Date:
Time:
Length: 		2002.10.1
11:00 AM PST
15 min. 		Solving One Step Equations — This lesson with cover solving "one step" equations using the basic operations ... MORE DETAILS…
Date:
Time:
Length: 		2002.10.2
11:00 AM PST
16 min. 		Equations with Many Operations. — This lesson will cover solving equations that have more than one step. MORE DETAILS…
Date:
Time:
Length: 		2002.10.3
11:00 AM PST
15 min. 		Complex Equations — Variables on BOTH sides of the equal sign! MORE DETAILS…
Date:
Time:
Length: 		2002.10.8
11:00 AM PST
15 min. 		Solving Inequalities — Learn how to solve inequalities with more than one operation. MORE DETAILS…
Date:
Time:
Length: 		2002.10.9
11:00 AM PST
15 min. 		Compound Inequalities — Solve compound inequalities and graph their solution sets. MORE DETAILS…
Date:
Time:
Length: 		2002.10.15
11:00 AM PST
15 min. 		Absolute Value Equations & Inequalities — Solve equations & inequalities involving absolute values. MORE DETAILS…
Date:
Time:
Length: 		2002.10.16
11:00 AM PST
15 min. 		Linear Equations — Graph a linear equation and compute the x- and y-intercepts. MORE DETAILS…
Date:
Time:
Length: 		2002.10.17
11:00 AM PST
15 min. 		Graphing Linear Inequalities — Learn how to sketch the region defined by a linear inequality. MORE DETAILS…
Date:
Time:
Length: 		2002.10.22
11:00 AM PST
15 min. 		The Equation of a Line — Given the equation of a line, we can verify that a point lies on THAT line ... MORE DETAILS…
Date:
Time:
Length: 		2002.10.23
11:00 AM PST
15 min. 		Parallel & Perpendicular Lines — Learn the concepts of parallel and perpendicular lines and ... MORE DETAILS…
Date:
Time:
Length: 		2002.10.24
11:00 AM PST
15 min. 		Equations of Parallel & Perpendicular Lines — When given an equation of a line AND a point not on that line ... we can find the equation to ... MORE DETAILS…
Date:
Time:
Length: 		2002.10.29
11:20 AM PST
20 min. 		System of Equations Part 1 — Learn how to solve a system of equations algebraically. MORE DETAILS…
Date:
Time:
Length: 		2002.10.30
11:00 AM PST
15 min. 		System of Equations Part 2 — Learn how to graph a system of equations and find the answer. MORE DETAILS…
Date:
Time:
Length: 		2002.10.31
11:00 AM PST
15 min. 		Systems of Inequalities — The real "test" of your algebra skills lies here. A perfect lecture for Halloween. You can do this! MORE DETAILS…
Date:
Time:
Length: 		2002.11.5
11:00 AM PST
21 min. 		Multiplying Monomials — Monomials are those "clusters" of numbers, variables, or BOTH. Let's learn how to multiply and simplify them! MORE DETAILS…
Date:
Time:
Length: 		2002.11.6
11:00 AM PST
18 min. 		Dividing Monomials — We will deal with these "clusters" when they are part of a division problem. MORE DETAILS…
Date:
Time:
Length: 		2002.11.7
11:00 AM PST
16 min. 		Polynomials — we'll define the term polynomial and examine various kinds, including those with different degrees MORE DETAILS…
Date:
Time:
Length: 		2002.11.12
11:00 AM PST
20 min. 		Adding & Subtracting Polynomials — Learn how to add and subtract polynomials using ... MORE DETAILS…
Date:
Time:
Length: 		2002.11.13
11:00 AM PST
15 min. 		Multiplying Polynomials by Monomials — We will also learn how to simplify expressions involving polynomials. MORE DETAILS…
Date:
Time:
Length: 		2002.11.14
11:00 AM PST
19 min. 		Multiplying Polynomials — Using FOIL in a math problem? MORE DETAILS…
Date:
Time:
Length: 		2002.11.18
12:00 PM PST
20 min. 		Polynomial Applications — Word Problems using Polynomials Techniques! MORE DETAILS…
Date:
Time:
Length: 		2002.11.19
11:00 AM PST
15 min. 		Special Polynomial Products — QUICK ways to multiply some special binomials. MORE DETAILS…
Date:
Time:
Length: 		2002.11.21
10:30 AM PST
20 min. 		Polynomial Connections Using Special Products — What does City Planning and Photography have to do with math? MORE DETAILS…
Date:
Time:
Length: 		2002.11.25
11:45 AM PST
18 min. 		Introduction to Factoring — What is factoring? Let's take a look and ... MORE DETAILS…
Date:
Time:
Length: 		2002.11.26
11:00 AM PST
15 min. 		The Common Factor — Learn how to recognize the common factor. MORE DETAILS…
Date:
Time:
Length: 		2002.12.3
11:00 AM PST
17 min. 		Factoring Out the GCF — It's time to take those GCF's out! MORE DETAILS…
Date:
Time:
Length: 		2002.12.4
12:00 PM PST
15 min. 		Factoring the Difference of Squares. — This lesson shows how to recognize when a polynomial is the difference of squares ... MORE DETAILS…
Date:
Time:
Length: 		2002.12.5
11:00 AM PST
16 min. 		Factor By Grouping. — This uses the Associative Property together with factoring out the GCF! MORE DETAILS…
Date:
Time:
Length: 		2002.12.10
11:00 AM PST
18 min. 		Factoring Trinomials. — Learn how to factor polynomials with THREE terms! MORE DETAILS…
Date:
Time:
Length: 		2002.12.11
11:00 AM PST
10 min. 		Perfect Square Trinomials. — Focusing on two special "formulas" that help us factor two special types of trinomials. MORE DETAILS…
Date:
Time:
Length: 		2002.12.12
11:00 AM PST
21 min. 		Factoring Methods — Let's use our methods we have learned thus far (see the previous 4 lessons) and ... MORE DETAILS…
Date:
Time:
Length: 		2002.12.17
11:00 AM PST
15 min. 		Sum & Difference of Two Cubes. — Using two formulas (a.k.a. short cuts) we will factor cubed polynomials. MORE DETAILS…
Date:
Time:
Length: 		2002.12.18
11:00 AM PST
20 min. 		Completely Factored? — Let's summarize all the types of factoring and talk about what in the world "completely factored" means. This lesson summarizes work done in previous lessons. MORE DETAILS…
Date:
Time:
Length: 		2002.12.19
11:00 AM PST
20 min. 		Solving Equations by Factoring — Introduction of the zero property to solve equations. MORE DETAILS…
Date:
Time:
Length: 		2002.12.26
11:00 AM PST
15 min. 		Rational Expressions. — Taking rational numbers to another level ... expressions. MORE DETAILS…
Date:
Time:
Length: 		2002.12.30
11:00 AM PST
15 min. 		Simplifying Polynomial Expressions. — Simplifying rational polynomial expressions using factoring. MORE DETAILS…
Date:
Time:
Length: 		2003.1.2
11:00 AM PST
15 min. 		Multiplying Rational Expressions. — To multiply fractions, you multiply the numerators and multiply the denominators ... MORE DETAILS…
Date:
Time:
Length: 		2003.1.7
11:00 AM PST
15 min. 		Dividing Rational Expressions — Remembering how to use the multiplicative inverse (a.k.a. the reciprocal). MORE DETAILS…
Date:
Time:
Length: 		2003.1.8
11:00 AM PST
15 min. 		Dividing Polynomials — Examples of dividing polynomials by binomials. MORE DETAILS…
Date:
Time:
Length: 		2003.1.9
11:00 AM PST
15 min. 		Adding & Subtracting Rational Expressions — Let's look at adding & subtracting rational expressions with like denominators. MORE DETAILS…
Date:
Time:
Length: 		2003.1.14
11:00 AM PST
22 min. 		Rational Expressions with Unlike Denominators. — Changing the denominators to be UNalike ... MORE DETAILS…
Date:
Time:
Length: 		2003.1.15
11:30 AM PST
15 min. 		Mixed Expressions & Complex Fractions — Simply mixed expressions & ... MORE DETAILS…
Date:
Time:
Length: 		2003.1.16
11:00 AM PST
18 min. 		Solving Rational Equations — Let's now apply all that we learned in the last few lessons. MORE DETAILS…
Date:
Time:
Length: 		2003.1.21
11:00 AM PST
18 min. 		Solving a Quadratic Equation by Factoring — Using our factoring skills to solve. MORE DETAILS…
Date:
Time:
Length: 		2003.1.22
11:00 AM PST
15 min. 		Completing the Square — One method to solving quadratic equations. MORE DETAILS…
Date:
Time:
Length: 		2003.1.23
5:00 PM PST
15 min. 		The Quadratic Formula — A useful formula when the equation doesn't factor. MORE DETAILS…
Date:
Time:
Length: 		2003.1.28
11:00 AM PST
20 min. 		Graphing Quadratic Functions — The graph of a quadratic function makes a parabola shape. MORE DETAILS…
Date:
Time:
Length: 		2003.1.29
11:00 AM PST
15 min. 		Solving a Quadratic Equation by Graphing — Finding the real roots of a quadratic equation. Plus practicing ... again ... how to graph them. MORE DETAILS…
Date:
Time:
Length: 		2003.1.30
5:00 PM PST
15 min. 		Using the Discriminant — The discriminant is the expression under the radical sign in the quadratic formula ... MORE DETAILS…
Date:
Time:
Length: 		2003.2.4
11:00 AM PST
18 min. 		The Quadratic Formula Proof — Learn how the quadratic equation was developed ... by ... MORE DETAILS…
Date:
Time:
Length: 		2003.2.5
11:00 AM PST
20 min. 		Methods for Solving Quadratic Equations-Summary — A summary to all the methods we have learned ... and ... MORE DETAILS…
Date:
Time:
Length: 		2003.2.6
5:00 PM PST
15 min. 		The Quadratic Formula & Motion — When and object goes up, it must come down ... MORE DETAILS…
Date:
Time:
Length: 		2003.2.11
11:00 AM PST
15 min. 		Rate Problems — Apply algebra techniques to solve rate problems ... MORE DETAILS…
Date:
Time:
Length: 		2003.2.12
11:00 AM PST
15 min. 		Work Problems — Apply algebra techniques to solve work problems ... MORE DETAILS…
Date:
Time:
Length: 		2003.2.13
5:30 PM PST
15 min. 		Percent Mixture Problems — Apply algebra techniques to solve percent mixture problems ... MORE DETAILS…
Date:
Time:
Length: 		2003.2.18
11:00 AM PST
15 min. 		Ordered Pairs — Graphing ordered pairson a coordinate plane and ... MORE DETAILS…
Date:
Time:
Length: 		2003.2.19
11:00 AM PST
15 min. 		Relations — Identify the range, domain and inverse of a relation, and ... MORE DETAILS…
Date:
Time:
Length: 		2003.2.20
5:00 PM PST
15 min. 		Equations as Relations — Solve linear equations for a specific variable, and ... MORE DETAILS…
Date:
Time:
Length: 		2003.2.25
11:00 AM PST
15 min. 		Graphing Linear Relations — Graph linear equations on a coordinate plane. MORE DETAILS…
Date:
Time:
Length: 		2003.2.26
11:00 AM PST
20 min. 		Functions — Determine whether a given relation is a function, and ... MORE DETAILS…
Date:
Time:
Length: 		2003.2.27
5:00 PM PST
15 min. 		Finding Equations from Relations — Write an equation to represent a relation ... MORE DETAILS…
Date:
Time:
Length: 		2003.3.4
11:00 AM PST
15 min. 		Open Sentences — Solve open sentences by ... MORE DETAILS…
Date:
Time:
Length: 		2003.3.5
11:00 AM PST
15 min. 		Explore Verbal Problems — Creating a problem-solving plan by ... MORE DETAILS…
Date:
Time:
Length: 		2003.3.6
5:00 PM PST
15 min. 		Write An Equation — Define variables & write equations for verbal problems, and ... MORE DETAILS…
Date:
Time:
Length: 		2003.3.11
11:00 AM PST
15 min. 		Aspects of Logic — A review of what a negation is and what logical statements are. We will apply logic to compound sentences as conjunctions and disjunctions. MORE DETAILS…
Date:
Time:
Length: 		2003.3.12
11:30 AM PST
15 min. 		Inductive & Deductive Reasoning — Learning the difference between the two types of reasonings ... and MORE DETAILS…
Date:
Time:
Length: 		2003.3.13
5:00 PM PST
15 min. 		Hypothesis & Conclusion — Given a conditional statement we will identify the hypothesis and conclusion. MORE DETAILS…
Date:
Time:
Length: 		2003.3.18
11:00 AM PST
15 min. 		Work Backwards — Solving word problems using one of the many problem solving strategies - working backwards. MORE DETAILS…
Date:
Time:
Length: 		2003.3.19
11:00 AM PST
15 min. 		Tables & Charts — Continue our mini series of problem solving strategies, we will work on word problems using table and charts to come up with a solution. MORE DETAILS…
Date:
Time:
Length: 		2003.3.20
5:00 PM PST
15 min. 		Making a Diagram — Many problems solve easier when you draw a picture or a diagram. This technique can help you decide how to work the problem. MORE DETAILS…
Date:
Time:
Length: 		2003.3.25
11:00 AM PST
15 min. 		Percent & Percent of Change — We will define the percent proportion, write equations to solve problems with percents, and define what percent of change is. MORE DETAILS…
Date:
Time:
Length: 		2003.3.26
11:00 AM PST
15 min. 		Simple & Compound Interest — Apply ratio, proportion & percent knowledge to interest problems. We will define the simple & compound interest formulas and use them and the skills above to solve for the unknown. MORE DETAILS…
Date:
Time:
Length: 		2003.3.27
5:00 PM PST
15 min. 		Applications with Ratios & Proportions — We will use ratio & proportions set ups to solve problems dealing with Biology, models and other "word" problems. MORE DETAILS…
Date:
Time:
Length: 		2003.4.2
11:00 AM PST
15 min. 		Mixtures — Mixture problems involve a combination of two or more parts into a whole. Table & charts are good for planning the solution to these types of problems. MORE DETAILS…
Date:
Time:
Length: 		2003.4.3
5:30 PM PST
15 min. 		Uniform Motion — We will solve problems involving uniform motion by using the formula d = rt. MORE DETAILS…
Date:
Time:
Length: 		2003.4.8
11:00 AM PST
15 min. 		Statistics & Line Plots — Statistics helps provide us with methods for collecting, organizing and interpreting data. We are adding this on to our problem-solving techniques to ... MORE DETAILS…
Date:
Time:
Length: 		2003.4.9
11:30 AM PST
15 min. 		Stem-and-Leaf Plots — Another visual aid and problem-solving method commonly used with numerical data and statistics. MORE DETAILS…
Date:
Time:
Length: 		2003.4.10
11:00 AM PST
15 min. 		Measures of Central Tendency — We will define the mean, median and mode of a set of data. Examples galore! MORE DETAILS…
Date:
Time:
Length: 		2003.4.14
11:00 AM PST
15 min. 		Measures of Variation — Calculate and interpret the range, quartiles, and the interquartile range of a set of data. MORE DETAILS…
Date:
Time:
Length: 		2003.4.16
11:30 AM PST
15 min. 		Box-and-Whisker Plots — Sometimes called box plots ... a method of displaying and interpreting data. MORE DETAILS…
Date:
Time:
Length: 		2003.4.17
11:00 AM PST
15 min. 		Scatter Plots — In a scatter plot, two sets of data are plotted as ordered pairs in the coordinate plane. MORE DETAILS…
Date:
Time:
Length: 		2003.4.22
11:00 AM PST
15 min. 		Probability & Odds — Finding the probability of a simple event and finding the odds of a simple event. MORE DETAILS…
Date:
Time:
Length: 		2003.4.23
11:00 AM PST
15 min. 		Empirical Probability — Probabilty calculated by making observations or conducting experiments is called empirical probability. MORE DETAILS…
Date:
Time:
Length: 		2003.4.24
11:00 AM PST
10 min. 		Compound Events — These consist of two or more simple events. One method for dealing with compound events is using a tree diagram. MORE DETAILS…
Date:
Time:
Length: 		2003.4.29
11:00 AM PST
15 min. 		Look for a Pattern — The most used strategy for problem-solving. This is often combined with making a table to organized information. MORE DETAILS…
Date:
Time:
Length: 		2003.4.30
11:00 AM PST
6 min. 		Guess & Check — Also known as Trial & Error .. another form of problem-solving. This is the one that utilizes ALL your algebra thinking skills. MORE DETAILS…
Date:
Time:
Length: 		2003.5.1
11:00 AM PST
15 min. 		List Possibilities — You can solve problems by listing the possibilities in an organized way. We will recap (from stats) using a special kind of organized list called a TREE DIAGRAM. MORE DETAILS…
Date:
Time:
Length: 		2003.5.6
11:00 AM PST
15 min. 		Hidden Assumptions — Sometimes we make problem solving more difficult than it needs to be by incorporating hidden assumptions into the process. Find out a few key ways to avoid doing this. MORE DETAILS…
Date:
Time:
Length: 		2003.5.7
12:00 PM PST
15 min. 		Identify Subgoals — When the solution to a problem requires several steps it is helpful to identify subgoals. MORE DETAILS…
Date:
Time:
Length: 		2005.6.23
12:00 PM PST
21 min. 		Using Properties of Numbers to Judge Results — In this lesson we will examine a series of algebraic statements and fill in the blank with the words "sometimes", "always" or "never". MORE DETAILS…
 
ARCHIVED LECTURES BY SUBJECT
ALGEBRA I   ALGEBRA II   BIOLOGY   CAHSEE   GEOMETRY   TRIG/PRE-CALC  


© 2002 Renaissance Education Group, Inc.
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