Algebra I (Beginning Algebra)

Watch Algebra I (Beginning Algebra)

  • 1969
  • 1 Season

This course is an introduction to the basic principles and skills of algebra. Topics include: Variables, Grouping Symbols, Equations, Translating Words Into Symbols, and Translating Sentences Into Equations.

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Seasons
Sequences and Pattern Recognition, Part 2
36. Sequences and Pattern Recognition, Part 2
November 9, 2009
Conclude the course by examining more types of number sequences, discovering how rich and enjoyable the mathematics of pattern recognition can be. As in previous lessons, employ your reasoning skills and growing command of algebra to find order - and beauty - where once all was a confusion of numbers.
Sequences and Pattern Recognition, Part 1
35. Sequences and Pattern Recognition, Part 1
June 1, 2020
Pattern recognition is an important and fascinating mathematical skill. Investigate two types of number patterns: geometric sequences and arithmetic sequences. Learn how to analyze such patterns and work out a formula that predicts any term in the sequence.
Solving Radical Equations
33. Solving Radical Equations
November 9, 2009
Discover how to solve equations that contain radical expressions. A key step is isolating the radical term and then squaring both sides. As always, it's important to check the solution by plugging it into the equation to see if it makes sense. This is especially true with radical equations, which can sometimes yield extraneous, or invalid, solutions.
Radical Expressions
32. Radical Expressions
November 9, 2009
Anytime you see a root symbol - for example, the symbol for a square root - then you're dealing with what mathematicians call a radical. Learn how to simplify radical expressions and perform operations on them, such as multiplication, division, addition, and subtraction, as well as combinations of these operations.
Graphing Rational Functions, Part 2
31. Graphing Rational Functions, Part 2
June 1, 2020
Sketch the graphs of several rational functions by first calculating the vertical and horizontal asymptotes, the x and y intercepts, and then plotting several points in the function. In the final exercise, you must simplify the expression in order to extract the needed information.
Graphing Rational Functions, Part 1
30. Graphing Rational Functions, Part 1
November 9, 2009
Examine the distinctive graphs formed by rational functions, which may form vertical or horizontal curves that aren't even connected on a graph. Learn to identify the intercepts and the vertical and horizontal asymptotes of these fascinating curves.
Rational Expressions, Part 2
29. Rational Expressions, Part 2
November 9, 2009
Continuing your exploration of rational expressions, try your hand at multiplying and dividing them. The key to solving these complicated-looking equations is to proceed one step at a time. Close the lesson with a problem that brings together all you've learned about rational functions.
Rational Expressions, Part 1
28. Rational Expressions, Part 1
June 1, 2020
When one polynomial is divided by another, the result is called a rational function because it is the ratio of two polynomials. These functions play an important role in algebra. Learn how to add and subtract rational functions by first finding their common divisor.
Operations and Polynomials
27. Operations and Polynomials
November 9, 2009
Much of what you've learned about linear and quadratic expressions applies to adding, subtracting, multiplying, and dividing polynomials. Discover how the FOIL operation can be extended to multiplying large polynomials, and a version of long division works for dividing one polynomial by another.
Polynomials of Higher Degree
26. Polynomials of Higher Degree
November 9, 2009
Most of the expressions you've studied in the course so far have been polynomials. Learn what characterizes a polynomial and how to recognize polynomials in both algebraic functions and in graphical form. Professor Sellers defines several terms, including the degree of an equation, the leading coefficient, and the domain.
The Pythagorean Theorem
25. The Pythagorean Theorem
November 9, 2009
Because it involves terms raised to the second power, the famous Pythagorean theorem, a2 + b2 = c2, is actually a quadratic equation. Discover how techniques you have previously learned for analyzing quadratic functions can be used for solving problems involving right triangles.
Quadratic Equations in the Real World
24. Quadratic Equations in the Real World
November 9, 2009
Quadratic functions often arise in real-world settings. Explore a number of problems, including calculating the maximum height of a rocket and determining how long an object dropped from a tree takes to reach the ground. Learn that in finding a solution, graphing can often help.
Representations of Quadratic Functions
23. Representations of Quadratic Functions
November 9, 2009
Drawing on your experience solving quadratic functions, analyze the parabolic shapes produced by such functions when represented on a graph. Use your algebraic skills to determine the parabola's vertex, its x and y intercepts, and whether it opens in an upward "cup" or downward in a "cap."
Quadratic Equations - Completing the Square
22. Quadratic Equations - Completing the Square
November 9, 2009
After learning the definition of a function, investigate an additional approach to solving quadratic equations: completing the square. This technique is very useful when rewriting the equation of a quadratic function in such a way that the graph of the function is easily sketched.
Quadratic Equations - The Quadratic Formula
21. Quadratic Equations - The Quadratic Formula
November 9, 2009
For those cases that defy simple factoring, the quadratic formula provides a powerful technique for solving quadratic equations. Discover that this formidable-looking expression is not as difficult as it appears and is well worth committing to memory. Also learn how to determine if a quadratic equation has no solutions.
Quadratic Equations - Factoring
20. Quadratic Equations - Factoring
November 9, 2009
In some circumstances, quadratic expressions are given in a special form that allows them to be factored quickly. Focus on two such forms: perfect square trinomials and differences of two squares. Learning to recognize these cases makes factoring easy.
Factoring Trinomials
19. Factoring Trinomials
November 9, 2009
Begin to find solutions for quadratic equations, starting with the FOIL technique in reverse to find the binomial factors of a quadratic trinomial (a binomial expression consists of two terms, a trinomial of three). Professor Sellers explains the tricks of factoring such expressions, which is a process almost like solving a mystery.
An Introduction to Quadratic Polynomials
18. An Introduction to Quadratic Polynomials
November 9, 2009
Transition to a more complex type of algebraic expression, which incorporates squared terms and is therefore known as quadratic. Learn how to use the FOIL method (first, outer, inner, last) to multiply linear terms to get a quadratic expression.
Linear Inequalities
17. Linear Inequalities
November 9, 2009
Shift gears to consider linear inequalities, which are mathematical expressions featuring a less than sign or a greater than sign instead of an equal sign. Discover that these kinds of problems have some very interesting twists, and they come up frequently in business applications.
Systems of Linear Equations, Part 2
16. Systems of Linear Equations, Part 2
June 1, 2020
Expand your tools for solving systems of linear equations by exploring the method of solving by elimination. This technique allows you to eliminate one variable by performing addition, subtraction, or multiplication on both sides of an equation, allowing a straightforward solution for the remaining variable.
Systems of Linear Equations, Part 1
15. Systems of Linear Equations, Part 1
November 9, 2009
When two lines intersect, they form a system of linear equations. Discover two methods for finding a solution to such a system: by graphing and by substitution. Then try out a real-world example, involving a farmer who wants to plant different crops in different proportions.
Linear Equations for Real-World Data
14. Linear Equations for Real-World Data
November 9, 2009
Investigating more real-world applications of linear equations, derive the formula for converting degrees Celsius to Fahrenheit; determine the boiling point of water in Denver, Colorado; and calculate the speed of a rising balloon and the time for an elevator to descend to the ground floor.
Solving Word Problems with Linear Equations
13. Solving Word Problems with Linear Equations
November 9, 2009
Linear equations reflect the behavior of real-life phenomena. Practice evaluating tables of numbers to determine if they can be represented as linear equations. Conclude with an example about the yearly growth of a tree. Does it increase in size at a linear rate?
Algebra I: Translating Problems Into Equations (Level 2 of 2) | 3 Facts and 3 Unknowns
12. Algebra I: Translating Problems Into Equations (Level 2 of 2) | 3 Facts and 3 Unknowns
 
This video continues illustrating the 3 step problem solving plan for solving word problems. This video goes over 5 challenging examples illustrating how to translate word problems that contain three facts and three unknowns into equations.
Algebra I: Translating Problems Into Equations  (Level 1 of 2) | Word Problems, Problem Solving
11. Algebra I: Translating Problems Into Equations (Level 1 of 2) | Word Problems, Problem Solving
 
This video introduces a 3 step problem solving plan for solving word problems. This video goes over 3 examples illustrating how to translate word problems into equations.
Algebra I: Translating Sentences into Equations (Level 2 of 2) | Examples II
10. Algebra I: Translating Sentences into Equations (Level 2 of 2) | Examples II
 
This video goes over 9 examples, covering the proper way to translate sentences into equations that require the use of formulas.
Algebra I: Translating Sentences into Equations (Level 1 of 2) | Examples I
9. Algebra I: Translating Sentences into Equations (Level 1 of 2) | Examples I
 
This video goes over 8 examples, covering the proper way to translate sentences usually containing the key word "is" into equations.
Algebra I: Translating Words Into Symbols (Level 2 of 2) | Simple Phrases, Formulas
8. Algebra I: Translating Words Into Symbols (Level 2 of 2) | Simple Phrases, Formulas
 
This video goes over a couple of examples modeling the proper way of translating phrases into variable expressions. Examples includes simple phrases, height between two individuals, and phrases that require the use of formulas.
Algebra I: Translating Words Into Symbols (Level 1 of 2) | Operators, Formulas
7. Algebra I: Translating Words Into Symbols (Level 1 of 2) | Operators, Formulas
 
This video shows you how to translate mathematical phrases written in words and translating them into variable expressions. Common phrases involving addition, subtraction, multiplication, and division are covered. In addition, the video introduces the use of formulas. Specifically, the area and perimeter of a rectangle, the distance traveled and cost formula.
Algebra I: Equations (Level 2 of 2) | Solution Set, Domain, One, Many, No Solutions
6. Algebra I: Equations (Level 2 of 2) | Solution Set, Domain, One, Many, No Solutions
 
This video goes over a couple of examples modeling the proper way to find the solution set of simple algebraic equations over a given domain. The video goes over equations that have one solution, many solutions and no solutions.
Algebra I: Equations (Level 1 of 2) | Open Sentences, Solutions, Roots, Domain
5. Algebra I: Equations (Level 1 of 2) | Open Sentences, Solutions, Roots, Domain
 
This video goes over the basic structure of open sentences and finding solutions (roots) of simple algebraic equations over a given domain.
Algebra I: Grouping Symbols (Level 2 of 2) | Simplifying and Evaluating Expressions
4. Algebra I: Grouping Symbols (Level 2 of 2) | Simplifying and Evaluating Expressions
 
This video goes over a couple of examples showing how to simplify and evaluate algebraic expressions with and without grouping symbols.
Algebra I: Grouping Symbols (Level 1 of 2) | Simplify, Nested Grouping, No Grouping Symbols
3. Algebra I: Grouping Symbols (Level 1 of 2) | Simplify, Nested Grouping, No Grouping Symbols
 
This video goes over the proper way to simplify numerical expressions using grouping symbols, nested grouping and expressions without grouping symbols.
Algebra I: Variables (Level 2 of 2) | True False Statements, Simplify, Evaluate
2. Algebra I: Variables (Level 2 of 2) | True False Statements, Simplify, Evaluate
 
This video goes over a couple of examples showing how to determine if a statement is true or false, how to simplify numerical expressions and how to evaluate variable expressions.
Algebra I: Variables (Level 1 of 2) | Variables, Numerical Expressions, Simplifying, Evaluating
1. Algebra I: Variables (Level 1 of 2) | Variables, Numerical Expressions, Simplifying, Evaluating
 
This video will teach you the fundamentals of algebra. You will learn about variables, variable expressions, numerical expressions, simplifying and evaluating algebraic expressions.
Description

This course is an introduction to the basic principles and skills of algebra. Topics include: Variables, Grouping Symbols, Equations, Translating Words Into Symbols, and Translating Sentences Into Equations. Algebra I (Beginning Algebra) is a series that is currently running and has 1 seasons (35 episodes). The series first aired on .

Where to Watch Algebra I (Beginning Algebra)

Algebra I (Beginning Algebra) is available for streaming on the Math Fortress website, both individual episodes and full seasons. You can also watch Algebra I (Beginning Algebra) on demand at Apple TV+, Amazon Prime, Amazon, Kanopy and Hoopla.