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Algebra I : Key Concepts for High School Students

Learn key concepts and enhance your confidence with step by step examples.
2.5 (2 ratings)
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20 students enrolled
Created by Joseph Pousada
Last updated 12/2014
English
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Includes:
  • 3 hours on-demand video
  • 18 Articles
  • Full lifetime access
  • Access on mobile and TV
  • Certificate of Completion
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What Will I Learn?
Master key concepts in Integrated Algebra I to help you have increased confidence and adademic results at school.
The primary key concepts covered are, word problems, basic techniques for solving equations, rates and units of measurement, exponents, binomials, factoring, solving quadratic equations, rational expressions, radicals, triangles, area/perimeter & volume, line equations, functions, graphs, linear regression, combining equations, inequalities, basic statistics, percentages and probability.
View Curriculum
Requirements
  • Basic mathematical concepts up to 8th grade mathematics.
  • Most sections do not require any technology. However for a few sections having access to a calculator will be pragmatic. If you are already taking the course in High School then just use the calculator assigned to you. If you are going to take the course I would suggest finding out which calculator the school uses first so you do not end up buying two calculators for the course. If money is not an object then a viable calculator to use is the Texas Instrument TI-83 Plus.
Description
  • This course is ideal for high school students taking Integrated Algebra I & students about to take Integrated Algebra I .
  • The course covers Word Problems, Basics of Solving Equations, Word Problems and Solving Equations, Tricky Word Problems, Rates & Units of Measurement, Rules for Exponents, Binomials & Factoring, Solving Binomial Expressions, Radicals, Triangles, Area, Perimeter & Volume, Line Equations and Slopes (Including finding parallel lines and perpendicular lines), Functions, Graphs and Linear Regression, Graphs of Absolute Functions, Manual Graphing, Crafty Word Problems, Inequalities, Statistics & Percentages & Probability.
  • The course assumes the you have completed all math courses up to Integrated Algebra I and is organized in eight sections with 46 lectures and 8 quizzes.
  • The goal is to give you increased confidence by covering the key concepts typically covered in the high school course with detailed step by step examples on how to solve such problems.
  • The focus is on key concepts so you not overwhelmed and at the same time will have enhanced confidence when taking the course at school.
Who is the target audience?
  • Students of any age taking Integrated Algebra I
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Curriculum For This Course
Expand All 39 Lectures Collapse All 39 Lectures 03:14:42
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Intro, Word Problems & Solving Equations
5 Lectures 24:22
  • Here you are introduced to the course.
  • Word Problems: You will be able to differentiate between word problems with numerical solutions and those that have a qualitative component as well.
Preview 05:08

  • Here you are introduced to the course.
  • Word Problems: You will be able to differentiate between word problems with numerical solutions and those that have a qualitative component as well.
Intro & Word Problems Part II
01:00

  • You will expand your exposure to word problems while exploring the new topics of variables and basic techniques for solving equations.
  • Variables: You will explore the concept of variables to demistify this concept.
  • Solving Equations: You will apply basic techniques to solve equations.
Preview 11:22

  • You will expand your exposure to word problems while exploring the new topics of variables and basic techniques for solving equations.
  • Variables: You will explore the concept of variables to demistify this concept.
  • Solving Equations: You will apply basic techniques to solve equations.
  • Here you will take a look at some word problems, interpret the information given to you in the word problem to form an algebraic expression and then use the basic skills to solve the equation.
Basics Of Solving Equations Part II
00:09

  • Here you will take a look at some word problems, interpret the information given to you in the word problem to form an algebraic expression and then use the basic skills to solve the equation.
Word Problems & Solving Equations
06:43

Here you will apply what you have learned to solve an equation and to solve a word problem.

Basics of Solving Equations & Word Problems
2 questions
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Tricky Word Problems & Units of Measurement
4 Lectures 15:28
  • Here you will learn how to solve common "curve-ball" word problems by exploring what to do when no initial values are given.
  • You will also explore how there is often more than one way to solve a problem and what benefits there might be by choosing a specific strategy in a real life scenario.
Tricky Word Problems
07:06

  • Here you will learn how to solve common "curve-ball" word problems by exploring what to do when no initial values are given.
  • You will also explore how there is often more than one way to solve a problem and what benefits there might be by choosing a specific strategy in a real life scenario.
Tricky Word Problems Part II
00:09

  • You will look at everyday examples to explore rates and units of measurement.
  • Transportation: You will investigate traveling by automobile and hand cycling to discuss common units of measurement.
  • Travel: You will explore currency conversion while traveling. (Currency is a form of measurement in purchasing power.)
  • Percentages: You will examine discounts and how to derive the percentage discount received. (The percentage discount is what is being measured.)
Rates & Units of Measurement
08:08

  • You will look at everyday examples to explore rates and units of measurement.
  • Transportation: You will investigate traveling by automobile and hand cycling to discuss common units of measurement.
  • Travel: You will explore currency conversion while traveling. (Currency is a form of measurement in purchasing power.)
  • Percentages: You will examine discounts and how to derive the percentage discount received. (The percentage discount is what is being measured.)
Rates & Units of Measurement Part II
00:05

You will apply your new skills to solve a tricky word problem and a problem involving rates and units of measurement.

Tricky Word Problems and Rates & Units of Measurement
2 questions
+
Solving Binomial Expressions
5 Lectures 31:31
  • Like Variables: You will revisit this concept as it relates to exponents.
  • Rules for Exponents: You will learn to use the rules for exponents to solve equations that involve exponents.
  • Binomials: You will become familiar with muliplying binomials.
  • Factoring: You will investigate factoring binomials out of a quadratic expression.
Rules for Exponents, Binomials & Factoring
14:49

  • Like Variables: You will revisit this concept as it relates to exponents.
  • Rules for Exponents: You will learn to use the rules for exponents to solve equations that involve exponents.
  • Binomials: You will become familiar with muliplying binomials.
  • Factoring: You will investigate factoring binomials out of a quadratic expression.
Rules for Exponents, Binomials & Factoring Part II
00:05

  • You will explore simplifying rational expressions.
  • Adding & Subtracting: You will learn to add and subtract rational polynomial expressions.
  • Mulitplication & Division: You will learn to evaluate expressions that involve multiplication and division of rational expressions.
Rational Expressions
11:35

  • You will explore simplifying rational expressions.
  • Adding & Subtracting: You will learn to add and subtract rational polynomial expressions.
  • Mulitplication & Division: You will learn to evaluate expressions that involve multiplication and division of rational expressions.
Rational Expressions Part II
00:05

  • Here you will explore solving binomial expressions using the factoring technique as well as the quadratic expression.
Solving Binomial Expressions
04:56

Here you get to practice the techniques you learned to solve an expression that involves exponents, multiplying binomials, factoring binomials and simplifying a rational expression.

Exponents, Binomials, Factoring, Rational Expressions, Solving Quadratic Eq.
4 questions
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Radicals & Triangles
4 Lectures 19:46
  • You will explore the rules for radicals and apply them to equations.
Radicals
03:41

  • You will explore the rules for radicals and apply them to equations.
Radicals Part II
00:05

  • Here you will examine the pythagorean theorem.
  • You will inquire into the basic properties of two dimensional triangles.
  • You will inspect the three ratios (sine cosine & tangent).
  • You will convert between degrees and radians.
  • You will apply all these new skills to a word problem and solve and algebraic expression.
Triangles
15:54

  • Here you will examine the pythagorean theorem.
  • You will inquire into the basic properties of two dimensional triangles.
  • You will inspect the three ratios (sine cosine & tangent).
  • You will convert between degrees and radians.
  • You will apply all these new skills to a word problem and solve and algebraic expression.
Triangles Part II
00:05

You can apply what you learned about radicals and triangles to solve these problems.

Radicals & Triangles
2 questions
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Area / Perimeter & Volume / Line Equations
4 Lectures 19:46
  • You will apply formulas to determine areas, perimeters and volumes in a real life scenario.
Area / Perimeter & Volume
06:51

  • You will apply formulas to determine areas, perimeters and volumes in a real life scenario.

Area / Perimeter & Volume Part II
00:05

  • You will discover how to determine a slope of a line equation.
  • You will construct a line equation.
  • You will explore how to obtain a parallel line equation from an existing line equation.
  • You will examine how to derive a perpendicular line equation from an existing line equation.
Line equations & slopes / Finding parallel lines & perpendicular lines
12:45

  • You will discover how to determine a slope of a line equation.
  • You will construct a line equation.
  • You will explore how to obtain a parallel line equation from an existing line equation.
  • You will examine how to derive a perpendicular line equation from an existing line equation.
Line equations & slopes Part II
00:05

You will put the skills you have learned to solve a problem regarding area and perpendicular lines.

Area, Perimeter & Volume / Line Equations
2 questions
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Functions, Graphs & Linear Regression
7 Lectures 34:34
  • You will be able to identiy properties of functions using venn diagrams and graphs.
  • You will be able to solve word problems by solving equations and applying your knowledge of graphs.
  • You will explore linear regression and be able to interpret the information given to you by your calculator.
Functions, Graphs & Linear Regression
11:40

  • You will be able to identiy properties of functions using venn diagrams and graphs.
  • You will be able to solve word problems by solving equations and applying your knowledge of graphs.
  • You will explore linear regression and be able to interpret the information given to you by your calculator.
Functions, Graphs & Linear Regression Part II
00:05

  • Here you will investigate graphs of absolute functions.
Graphs of Absolute Functions
01:59

  • Here you will investigate graphs of absolute functions.
Graphs of Absolute Functions Part II
00:05

  • You will investigate intersecting lines and be able to determine the point of intersection.
  • You will examine manual graphing techniques and learn how to graph a quadratic equation.
  • You will be able to determine the intersecting points between a line equation and a quadratic equation both algebraically and graphically.
More On Graphs (Includes manual graphing & the quadratic formula)
15:14

  • Here you will learn to navigate typical crafty word problems.
Interpretation of Data
05:25

  • You will investigate intersecting lines and be able to determine the point of intersection.
  • You will examine manual graphing techniques and learn how to graph a quadratic equation.
  • Here you will learn to navigate typical crafty word problems.
  • You will be able to determine the intersecting points between a line equation and a quadratic equation both algebraically and graphically.
More On Graphs & Interpretation of Data Part II
00:05

Here you will apply the skills you have learned to problems regarding functions, intersecting graphs and linear regression.

Functions, Graphs & Linear Regression
3 questions
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Combining equations / Inequalities / Statistics
6 Lectures 32:28
  • You will explore combining equations.
  • You will apply this technique of combining equations to examine and to solve a system of two equations.
Combining Equations (Includes System of Two Equations)
09:12

  • You will explore combining equations.
  • You will apply this technique of combining equations to examine and to solve a system of two equations.
Combining Equations & System of Two Equations Part II
00:05

  • You will review rules for inequalities and apply these rules to equations.
  • You will explore graphing with inequalities.
Inequalities (Includes graphing)
12:10

  • You will review rules for inequalities and apply these rules to equations.
  • You will explore graphing with inequalities.
Inequalities Part II
00:05

  • You will investigate basic statistical descriptors of a data set.
  • You will explore percentages and graphical representation of data.
Statistics - Basics & Interpretation of Data Sets
10:51

  • You will investigate basic statistical descriptors of a data set.
  • You will explore percentages and graphical representation of data.
Statistics - Basics & Interpretation of Data Sets Part II
00:05

Here you will put your skills to solve problems regarding a system of equations, inequalities and basic statistics.

System of equations, Inequalities & Basic Statistics
3 questions
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Probability
4 Lectures 16:29
  • You will explore Venn Diagrams and how to interpret them.
  • You will examine the probability of single and multiple events.
Probability (Venn Diagrams & Intro to Probability)
10:41

  • You will consider the difference in probable outcomes with multiple events where all events are independent vs. dependent.
  • You will examine the difference between mutually exclusive events vs non-mutually exclusive events and be able to determine their probability.
Probability (Independent vs Dependent & Mutually vs Not Mutually Exclusive)
05:08

  • You will explore Venn Diagrams and how to interpret them.
  • You will examine the probability of single and multiple events.
  • You will consider the difference in probable outcomes with multiple events where all events are independent vs. dependent.
  • You will examine the difference between mutually exclusive events vs non-mutually exclusive events and be able to determine their probability.
Probability Part II
00:05

Here you will put your skills to solve problems involving multiple events, independent / dependent events and mutually exclusive / non-mutually exclusive events.

Probability
3 questions

Congratulations!
00:35
About the Instructor
2.5 Average rating
2 Reviews
20 Students
1 Course
Mathematician

I have a B.S. in Mathematics and a B.B.A in International business. I have tutored students in need of help with High School and College Undergrad math courses. I am also certified to teach mathematics from 6th to 12th grade in the state of Georgia. In 2013 I authored the book, “Easy Guide To Key Concepts In Integrated Algebra I”, designed to help high school students taking Integrated Algebra I. I also have plenty of “real world” experience in applying mathematics with over two decades experience in the Financial Industry. My passion is mathematics and my goal is to bring my training and hands on experience to help you with your course.

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