| For a complete description of each lesson:
Lessons 1-5
Lessons 6-10
Lessons 11-15
Lessons 16-20
Lessons 21-25
Lessons 26-30
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BASIC MATH - The Complete Course
A 30 volume series covering basic math problems from addition, subtraction, multiplication and division of whole numbers, fractions, decimals and intergers to percentages, ratios and proportions, as well as exponents, powers, intro to geometry, graphing number theory and patterns, problem solving, statistics, simple equations
and intro to algebra.
This series is taught by Dr. Murray Siegel, voted "Best Math Teacher in America".
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Algebra 1 - The Complete Course
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Section II: Exploring Linear Functions
Lesson Eleven: Linear Functions and Geometry
In this lesson you will learn the story of ½(pi) and what is the meaning of ½. You'll also explore circles and complex polygons.
You Will Learn:
- What is the sum of the interior angles of a polygon.
- The difference between linear regression and mathematical modeling.
- Data collection, scatter plotting and algebraic equation.
30 Minutes. Comes with worksheet with follow-up questions.
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Section III: Exploring Quadratic Functions
Lesson Twelve: Introductory Explorations 1
In this lesson you will explore quadratics with square, oblongand star numbers using tables and graphs. Also covered is the relationship between linear and quadratic functions.
You Will Learn:
- To connect algebraic expressions with geometric shapes.
- Quadratic explorations of Square, Oblong and "Star" numbers with tables and graphs.
- A brief history of the quadratic equation.
30 Minutes. Comes with worksheet with follow-up questions.
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Section III: Exploring Quadratic Functions
Lesson Thirteen: Introductory Explorations 2
In this lesson you will do a quadratic exploration of the Gauss' formula and learn the story behind this famous sequence ofnumbers. You'll also explore a Maximization problem and derive the algebraic formula from the problem.
You Will Learn:
- To show proof without words.
- The first and second differences.
- How to make a statement of a problem and then model it.
30 Minutes. Comes with worksheet with follow-up questions.
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Section III: Exploring Quadratic Functions
Lesson Fourteen: The Geometry of Quadratic Function Graphs
In this lesson you will see graphical explorations of the effect of the numerical coefficient a, the coefficient b, and the coefficient c.
You Will Learn:
- If a is positive, the parabola opens upward; the function has an absolute minimum.
- If a is negative, the parabola opens downward; the function has an absolute maximum.
- The standard form for the equation of a quadratic function: y = ax2 + bx + c or f(x) = ax2 + bx + c.
30 Minutes. Comes with worksheet with follow-up questions.
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Section III: Exploring Quadratic Functions
Lesson Fifteen: Words, Equations, Numbers and Graphs
In this lesson you will learn the Method of finite differences. You will also do explorations from Numbers to Equations and from Graphs to Equations.
You Will Learn:
- How to derive an algebraic equation using the method of finite differences.
- How to derive the input/outout table of numerical values.
30 Minutes. Comes with worksheet with follow-up questions. |
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