| 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.
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Algebra 1 - The Complete Course
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Section II: Exploring Linear Functions
Lesson Six: Multiple Representations of Linear Functions
This video focuses on representations of linear functions. Discussed are the verbal/situational, symbolic/algebraic, numerical/tabular and graphical representations.
You Will Learn:
- To explore multiple representations with the use of a graphing calculator.
- The definition of slope.
- To go from: Verbal storyðAlgebraic equationðNumerical tableðGeometric graph.
30 Minutes. Comes with worksheet with follow-up questions.
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Section II: Exploring Linear Functions
Lesson Seven: The Geometry of Linear Function Graphs
In this lesson you will learn the standard form for the equation of a linear function: y=ax+b or f(x)=ax+b, where a and b are constants, and x and y are variables. Also see graphical explorations of a and b.
You Will Learn:
- The effect of the numerical coefficient a.
- The effect of the numerical coefficient b.
- The use of parallel and perpendicular lines in graphical representations.
30 Minutes. Comes with worksheet with follow-up questions.
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Section II: Exploring Linear Functions
Lesson Eight: Words, Equations, Numbers and Graphs
In this lesson you will learn the four representation of a function, and the importance of moving back and forth from one form of representation to another.
You Will Learn:
- Explorations #1 & #2: Numbers-Equation-Words.
- Explorations #3 & #4: Graph-Equation-Words.
- To derive the equation y=ax+b.
- To imagine a problem situation.
30 Minutes. Comes with worksheet with follow-up questions.
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Section II: Exploring Linear Functions
Lesson Nine: Problem Solving with Linear Equations
In this lesson you will learn the importance of problem solving in the evolution of algebra and the connection between a "linear function" and a "linear equation".
You Will Learn:
- A brief history of problem solving.
- The derivation of the algebraic equation by functional exploration and by symbolic manipulation.
- The solution of a linear equation is unique.
30 Minutes. Comes with worksheet with follow-up questions.
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Section II: Exploring Linear Functions
Lesson Ten: Modeling Real-World Data with Linear Functions
In this lesson you will learn the importance of Mathematical Modeling in algebra. Construction and use are demonstrated by a scientific experiment and a financial question.
You Will Learn:
- How to use a model to answer questions.
- The collection, representation and analysis of data.
- The construction and use of a mathematical model.
30 Minutes. Comes with worksheet with follow-up questions. |
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