Watch Algebra I (Beginning Algebra)

1969
1 Season

Algebra I is a math course offered by Math Fortress, designed for students who are just beginning with Algebra. It aims to provide a comprehensive understanding of the subject by building a strong foundation in the basics of Algebra, including properties of numbers, equations, and graphs.

The course is divided into several modules, each of which focuses on a particular aspect of Algebra. The first module, for instance, introduces students to the concept of variables and constants, and how they are used in Algebraic equations. From there, students learn about different types of operations, including addition, subtraction, multiplication, and division, as well as the order of operations.

Another module within the course delves into Linear Equations and Inequalities, covering topics such as slope, intercepts, and graphing. This section also includes the study of one-variable and two-variable linear equations, and how to solve them using various methods such as substitution and elimination.

The course also covers quadratics, functions, and systems of equations. Students learn how to solve different types of quadratic equations, including factoring, completing the square, and using the quadratic formula. They also learn how to identify the different parts of a function, such as domain, range, x and y intercepts, and how to graph a function. Additionally, students will be able to solve various systems of equations by using the substitution as well as elimination method.

To help reinforce their learning, Algebra I comes with a plethora of examples, practice problems, and quizzes that enable students to practice solving equations, and identifying patterns in algebraic variables. Additionally, the course also features short tutorial videos, which support the engaged learning experience.

Whether you are a student who is just beginning with Algebra or someone seeking to improve your mathematical skills, Algebra I from Math Fortress is a terrific resource. Its challenging, yet comprehensive, content provides an excellent foundation for further study in Algebra or other mathematical disciplines.

In conclusion, this course is perfect for someone who needs to build a solid foundation in Algebra. By going through the course, students will acquire the skills necessary for moving on to advanced Algebra courses or other fields that require a solid math background. It is a sound investment that equips students with the mathematical tools that they need to succeed in their chosen endeavors.

Algebra I (Beginning Algebra) is a series that ran for 1 seasons (36 episodes) between and on Math Fortress

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Seasons

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.

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.

34. Graphing Radical Functions

January 1, 1970

In previous lessons, you moved from linear, quadratic, and rational functions to the graphs that display them. Now do the same with radical functions. For these, it's important to pay attention to the domain of the functions to ensure that negative values are not introduced beneath the root symbol.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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."

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.

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.

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.

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.

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.

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.

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.

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.

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.

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?

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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.

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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 Amazon Prime, Amazon, Kanopy and Hoopla.