| 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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Algebra 1 - The Complete Course
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Section IV: Exploring Rational Functions
Lesson Twenty One: Working with Rational Functions and Equations
In this lesson you will take a second look at f(x) = 1/x. You will also explore the general case: f(x) = a/x, where a is a constant. Two problems are presented; a Real-World situation and a 3-D Geometric problem.
You Will Learn:
- To visualize problems with the aid of manipulatives.
- To answer questions by functional exploration.
- To confirm answers by symbolic manipulation.
30 Minutes. Comes with worksheet with follow-up questions.
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Section V: Exploring Exponential Functions
Lesson Twenty Two: Introductory Functions
In this lesson you will discover multiple applications of exponential functions. You will view 2 exponential explorations: "The Mythical Story of Chess" and "A Paper folding Activity".
You Will Learn:
- To visualize problems with the aid of manipulatives.
- To answer questions by functional exploration.
- To confirm answers by symbolic manipulation.
30 Minutes. Comes with worksheet with follow-up questions.
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Section V: Exploring Exponential Functions
Lesson Twenty Three: The Geometry of Exponential Function Graphs
In this lesson you will learn the connection between the algebraic equation and the geometric graph review exponential rules.
You Will Learn:
- The general form for the equation of the simplest exponential function: f(x) = y = bx, b>0.
- The properties of f(x) = bx, b>0.
- Compare the graphs of f(x) = 2x and f(x) = x2.
30 Minutes. Comes with worksheet with follow-up questions.
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Section V: Exploring Exponential Functions
Lesson Twenty Four: Working with Exponential Functions and Equations
This lesson presents mathematical modeling problems of Radioactive Decay and Sports Analysis. You will model with the aid of manipulatives, collect and plot data, and derive the mathematical model through exponential regression.
You Will Learn:
- How to model real-world data with exponential functions.
- A brief explanation of Radioactivity.
- An explanation of general form: f(x) = y = Abx.
30 Minutes. Comes with worksheet with follow-up questions.
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Section VI: Solving Systems of Equations and Inequalities
Lesson Twenty Five: Systems of Linear Functions and Equations
In this lesson you will learn the meaning of a "System" and alternate forms for the equation of a straight line. Two systems are covered: a Real-World Situation and an abstract system of equations.
You Will Learn:
- How to solve a system by substitution method.
- How to solve a system by elimination method.
- How to solve a system by functional method.
30 Minutes. Comes with worksheet with follow-up questions. |
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