| 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
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Algebra 1 - The Complete Course
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Section III: Exploring Quadratic Functions
Lesson Sixteen: Problem Solving with Quadratic Equations
This video will take you through 3 problems. First, a concrete sequence of geometric figures. Then the Golden Ratio. Finally, finding the roots of a quadratic equation.
You Will Learn:
- The connection between a "quadratic function" and a "quadratic equation."
- Three possible cases for the solution(s) of a quadratic equation.
- Problem Solving with Quadratic Equations
30 Minutes. Comes with worksheet with follow-up questions.
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Section III: Exploring Quadratic Functions
Lesson Seventeen: Modeling Real-World Data with Quadratic Functions
In this lesson you will learn work with an object in free fall by using previously collected data, recognizing first differences, scatter plot, make a mathematical model and make predictions.
You Will Learn:
- How to ask investigative questions.
- How to scatter plot based on data collected.
- How to use quadratic regression to build a mathematical model.
- The importance of mathematical models.
30 Minutes. Comes with worksheet with follow-up questions.
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Section III: Exploring Quadratic Functions
Lesson Eighteen: Polynomial Explorations (Degree Greater than Two)
This lesson discusses Linear, quadratic and cubic functions. You will explore a 3-D Maximization problem by finding the (functional) equation through cubic regression and a Cube-Counting problem deriving the functional equations through symbol manipulation.
You Will Learn:
- The comparisons between cubic, quadratic and linear functions.
- First-, second- and third-degree polynomials.
- Answering questions through functional exploration.
30 Minutes. Comes with worksheet with follow-up questions.
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Section IV: Exploring Rational Functions
Lesson Nineteen: Introductory Explorations
In this lesson you will learn a new class of rational functions. You will view an exploration of varying the perimeter while keeping the area constant and the reciprocal function f(x) = 1/x.
You Will Learn:
- To visualize the concept with the aid of manipulatives.
- The properties of the reciprocal function.
- The general form of a rational function.
- The simplest form of a rational function.
30 Minutes. Comes with worksheet with follow-up questions.
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Section IV: Exploring Rational Functions
Lesson Twenty: The Geometry of Rational Function Graphs
In this lesson you will learn the connection between algebraic equation and geometric graph. Also discussed is the general form for the equation of a rational function.
You Will Learn:
- The properties of rational functions.
- There are no (absolute) maximum or minimum values of the rational function.
- The horizontal translation of f(x) = 1/x.
30 Minutes. Comes with worksheet with follow-up questions. |
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