Basics Part 1
Categories: EST I - Basics Part 1
Course Content
Isolating
A lesson on isolating variables focuses on teaching students the fundamental skill of solving equations by isolating a variable, an essential concept in algebra. Here’s a structured summary of the key points and techniques for such a lesson:
1. Understanding the Concept of Isolation
2. Basic Principles of Inverse Operatio
3. Steps to Isolate a Variable in Linear Equations
4. Isolating Variables with Fractions
5. Isolating Variables with Variables on Both Sides
6. Isolating Variables in Formulas
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Isolating
01:20:47 -
Exercise (Isolating)
25:57
Dealing With Expressions
A lesson on dealing with algebraic expressions introduces students to the structure, manipulation, and simplification of expressions. Here’s a structured summary of the key topics and techniques to include in such a lesson:
1. Understanding Algebraic Expressions
2. Evaluating Expressions
3. Simplifying Algebraic Expressions
4. Expanding Expressions
5. Working with Rational Expressions
6. Factoring Expressions
7. Spliting & Fliping of Fractions
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Dealing With Expressions
02:35:58 -
Exercise (Dealing With Expression)
48:11 -
Classwork Assignment (Dealing with Expressions)
19:50
Radicals & Exponents
A lesson on radicals and exponents introduces students to the concepts of roots, powers, and their properties, which are fundamental in algebra and higher mathematics. Here’s a structured summary of the key topics to include:
1. Introduction to Exponents
2. Exponent Rules and Properties
3. Introduction to Radicals
4. Simplifying Radicals
5. Operations with Radicals
6. Rationalizing the Denominator
7. Fractional Exponents
8. Solving Equations with Exponents and Radicals
9. Applications of Radicals and Exponents
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Radicals & Exponents
02:10:59 -
Exercise (Radicals & Exponents)
01:44:55
Translating Words into Math
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Translating Words into Math
43:48 -
Exercise (Translating Words Into Math)
19:09
Linear Function
A lesson on linear functions introduces students to the concept, properties, and applications of linear relationships in algebra. Here’s a structured summary of the key topics to cover:
1. Defining a Linear Function
2. Slope (Rate of Change)
3. Y-Intercept and X-Intercept
4. Forms of Linear Equations
5. Graphing Linear Functions
6. Parallel and Perpendicular Lines
7. Function Notation and Interpretation
8. Modeling Real-World Situations with Linear Functions
9. Solving Problems with Linear Functions
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Linear Function
02:27:17 -
Extra Homework straight line
10:30 -
Exercise (Parallel and Perpendicular)
34:12 -
Interpreting Linear Models
19:54 -
Linear Function (Translating)
26:34 -
How to Construct Linear Equation (All)
18:27
System of Equations
A lesson on systems of equations introduces students to solving multiple equations with two or more variables and interpreting their solutions. Here’s a structured summary of the key topics to cover:
1. Defining a System of Equations
2. Types of Solutions
3. Methods for Solving Systems of Equations ( Graphing , Substitution & Elimination Methods)
4. Solving Systems of Equations in Word Problems
5. Special Systems: Systems of Linear Inequalities
6. Checking Solutions
7. Choosing the Best Solution Method
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System of Equations
45:35 -
Exercise System of Equations
52:45 -
How to Construct (System of Equations)
16:28
System of Inequalities & Absolute valute
A lesson on inequalities and absolute value introduces students to comparing values, understanding inequality notation, and working with absolute values. Here’s a structured summary of the key topics to cover:
1. Understanding Inequalities
2. Graphing Inequalities on a Number Line
3. Solving Linear Inequalities
4. Compound Inequalities
5. Introduction to Absolute Value
6. Solving Absolute Value Equations
7. Solving Absolute Value Inequalities
8. Applications of Inequalities and Absolute Value
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Inequality & System of Inequalities
24:51 -
Exercise (Inequality & System of Inequalities)
23:16 -
How To Construct (System of Inequalities)
08:10 -
Absolute Value
43:15 -
Exercise (Absolute Value)
46:32
Percentage
A lesson on percentages introduces students to understanding, calculating, and applying percentages in various contexts. Here’s a structured summary of the key topics to cover:
1. Introduction to Percentages
2. Converting Between Fractions, Decimals, and Percentages
3. Calculating Percentages of a Number
4. Finding What Percentage One Number Is of Another
5. Increasing and Decreasing by a Percentage
6. Solving Percentage Word Problems
7. Percentage Change
8. Applications of Percentages
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Percentage
02:20:40 -
Exercise Percentage
01:19:20
Probability I & II
A lesson on probability, rates, and direct/inverse variation introduces students to foundational concepts in comparing quantities, assessing likelihood, and understanding relationships between variables. Here’s a structured summary of the key topics to cover:
1. Introduction to Probability
2. Calculating Probability for Simple Events
3. Compound Events and Probability
4. Dice & Coin Problems
5. Binomial Probability
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Probability I & II
01:14:57 -
Counting
30:08 -
Dice And Venn Diagram
01:07:05 -
Exercise (Probability)
01:05:59
Rates , Ratio , Direct Inverse Variation & Unit Conversions
A lesson on rates, direct and inverse variation, and unit conversions introduces students to fundamental skills in comparing quantities, understanding relationships between variables, and converting units. Here’s a structured summary of the key topics to cover:
1. Understanding Rates
2. Solving Problems Involving Rates
3. Introduction to Direct Variation
4. Introduction to Inverse Variation
5. Applications of Direct and Inverse Variation
6. Unit Conversions
7. Performing Unit Conversions with Rates
8. Solving Real-World Problems with Rates, Variation, and Unit Conversions
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Rates , Ratio , Direct Inverse Variation.
01:17:21 -
Exercise Ratio & Propotional
44:27
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