Algebra II (Intermediate Algebra)

Watch Algebra II (Intermediate Algebra)

  • 1969
  • 1 Season

Algebra II (Intermediate Algebra) from Math Fortress is an educational show that aims to help students understand Algebra II concepts in a simple and easy-to-understand manner. It is a comprehensive program that covers various topics in Algebra II and provides students with the knowledge, skills, and confidence they need to excel in the subject.

The host of the show is a knowledgeable and experienced math teacher who uses a clear and concise teaching style to make concepts easy to understand. The show features a variety of visual aids, including diagrams, graphs, and animations, to help students visualize the concepts and understand their applications in real life.

Each episode of Algebra II (Intermediate Algebra) from Math Fortress covers a specific topic in Algebra II, such as linear equations, quadratic equations, functions, matrices, and more. The host starts by introducing the topic and explaining its relevance in the real world. Then, he walks the students through a step-by-step process to solve problems related to the topic.

In addition to providing clear explanations of the concepts, the show also includes practice problems that students can solve along with the host. These problems are designed to reinforce the concepts covered in the episode and help students build their problem-solving skills. The host provides helpful tips and tricks along the way to help students solve the problems efficiently and accurately.

One of the highlights of Algebra II (Intermediate Algebra) from Math Fortress is its focus on real-world applications. The show highlights how Algebra II is used in various fields, such as engineering, technology, finance, and science. This helps students understand the relevance of Algebra II in their lives and motivates them to learn the subject.

Another noteworthy feature of the show is its emphasis on critical thinking and problem-solving skills. The host encourages students to think creatively and develop their own problem-solving strategies. He also provides guidance on how to approach complex problems and break them down into smaller, more manageable steps.

Overall, Algebra II (Intermediate Algebra) from Math Fortress is an excellent educational show that provides students with a comprehensive and engaging learning experience. It is ideal for students who are struggling with Algebra II or want to excel in the subject. The show is also suitable for homeschoolers and anyone who wants to expand their knowledge and skills in Algebra II.

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

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Seasons
Elementary Probability
36. Elementary Probability
March 4, 2011
After a short introduction to probability, celebrate your completion of the series with a deck of cards. Can you use the principles of probability, permutations, and combinations to calculate the probability of being dealt different hands? As with the rest of algebra, once you know the rules, it's simplicity itself!
Permutations and Combinations
35. Permutations and Combinations
March 4, 2011
Continue your study of the link between combinatorics and algebra by using the factorial function to solve problems in permutations and combinations. For example, what are all the permutations of the letters a, b, c? And how many combinations of four books are possible when you have six to choose from?
The Binomial Theorem
34. The Binomial Theorem
March 4, 2011
Pascal's triangle is a famous triangular array of numbers that corresponds to the coefficients of binomials of different powers. In an episode connecting a branch of mathematics called combinatorics with algebra, investigate the formula for each value in Pascal's triangle, the factorial function, and the binomial theorem.
Uses of Exponential and Logarithmic Functions
33. Uses of Exponential and Logarithmic Functions
March 4, 2011
Delve deeper into exponential and logarithmic functions with the goal of solving a typical financial investment problem using the "Pert" formula. To prepare, study the change of base formula for logarithms and the special function of the base called e.
An Introduction to Logarithmic Functions
32. An Introduction to Logarithmic Functions
March 4, 2011
Plot a logarithmic function on the coordinate plane to see how it is the mirror image of a corresponding exponential function. Just like a mirror image, logarithms can be disorienting at first; but by studying their properties you will discover how they make certain calculations much simpler.
An Introduction to Exponential Functions
31. An Introduction to Exponential Functions
March 4, 2011
Exponential functions are important in real-world applications involving growth and decay rates, such as compound interest and depreciation. Experiment with simple exponential functions, exploring such concepts as the base, growth factor, and decay factor, and how different values for these terms affect the graph of the function.
Partial Fractions
30. Partial Fractions
March 4, 2011
Now that you know how to add rational expressions, try the opposite procedure of splitting a more complicated rational expression into its component parts. Called partial fraction decomposition, this approach is a topic in introductory calculus and is used for solving a wide range of more advanced math problems.
The Algebra of Rational Functions
29. The Algebra of Rational Functions
March 4, 2011
Combine rational functions using addition, subtraction, multiplication, division, and composition. The trick is to start each problem by putting the expressions in factored form, which makes the calculations go more smoothly. Leaving the answer in factored form also allows other operations, such as graphing, to be easily performed.
An Introduction to Rational Functions
28. An Introduction to Rational Functions
January 1, 1970
Shift your focus to graphs of rational functions, which are the ratio of two polynomials. These graphs are more complicated than those from the previous episode, but their general characteristics can be quickly determined by calculating the domain, the x- and y-intercepts, and the vertical and horizontal asymptotes.
Graphing Power, Radical, and Root Functions
27. Graphing Power, Radical, and Root Functions
March 4, 2011
Using graph paper, experiment with curves formed by simple radical functions. First, determine the domain of the function, which tells you the general location of the graph on the coordinate plane. Then, investigate how different terms in the function alter the graph in predictable ways.
Solving Equations Involving Radicals
26. Solving Equations Involving Radicals
March 4, 2011
Drawing on your experience with roots and radicals from the previous episode, try your hand at solving equations with these expressions. Begin by learning how to manipulate rational, or fractional, exponents. Then practice with simple equations, while being on the lookout for extraneous, or "imposter," solutions.
Roots and Radical Expressions
25. Roots and Radical Expressions
March 4, 2011
Shift gears away from polynomials to focus on expressions involving roots, including square roots, cube roots, and roots of higher degrees (all known as radical expressions). Practice multiplying, dividing, adding, and subtracting a wide variety of radical expressions.
The Fundamental Theorem of Algebra
24. The Fundamental Theorem of Algebra
March 4, 2011
Explore two additional tools for identifying the roots of polynomial equations: Descartes' rule of signs, which narrows down the number of possible positive and negative real roots; and the fundamental theorem of algebra, which gives the total of all roots for a given polynomial.
Rational Roots of Polynomial Equations
23. Rational Roots of Polynomial Equations
March 4, 2011
Going beyond the approaches you've learned so far, discover how to solve polynomial equations by applying two powerful tools for finding rational roots: the rational roots theorem and the factor theorem. Both will prove very useful in succeeding lessons.
Solving Special Polynomial Equations
22. Solving Special Polynomial Equations
March 4, 2011
Learn how to solve polynomial equations where the degree is greater than two by turning them into expressions you already know how to handle. Your "toolbox" includes techniques called the difference of two squares, the difference of two cubes, and the sum of two cubes.
Combining Polynomials
21. Combining Polynomials
March 4, 2011
Switch from graphs to the algebraic side of polynomial functions, learning how to combine them in many different ways, including addition, subtraction, multiplication, and even long division, which is easier than it seems. Discover which of these operations produce new polynomials and which do not.
Graphing Polynomial Functions
20. Graphing Polynomial Functions
March 4, 2011
Deepen your insight into polynomial functions by graphing them to see how they differ from non-polynomials. Then learn how the general shape of the graph can be predicted from the highest exponent of the polynomial, known as its degree. Finally, explore how other terms in the function also affect the graph.
An Introduction to Polynomials
19. An Introduction to Polynomials
March 4, 2011
Pause to examine the nature of polynomials: a class of algebraic expressions that you've been working with since the beginning of the series. Professor Sellers introduces several useful concepts, such as the standard form of polynomials and their degree, domain, range, and leading coefficients.
Conic Sections - Circles and Ellipses
18. Conic Sections - Circles and Ellipses
March 4, 2011
Investigate the algebraic properties of the other two conic sections: ellipses and circles. Ellipses resemble stretched circles and are defined by their major and minor axes, whose ratio determines the ellipses' eccentricity. Circles are ellipses whose eccentricity = 1, with the major and minor axes equal.
Conic Sections - Parabolas and Hyperbolas
17. Conic Sections - Parabolas and Hyperbolas
March 4, 2011
Delve into the algebra of conic sections, which are the cross-sectional shapes produced by slicing a cone at different angles. In this episode, study parabolas and hyperbolas, which differ in how many variable terms are squared in each. Also learn how to sketch a hyperbola from its equation.
Solving Quadratic Inequalities
16. Solving Quadratic Inequalities
March 4, 2011
Extending the exercises on inequalities from a previous episode, step into the realm of quadratic inequalities, where the boundary graph is not a straight line but a parabola. Use your skills analyzing quadratic expressions to sketch graphs quickly and solve systems of quadratic inequalities.
Using the Quadratic Formula
15. Using the Quadratic Formula
March 4, 2011
When other approaches fail, one tool can solve every quadratic equation: the quadratic formula. Practice this formula on a wide range of problems, learning how a special expression called the discriminant immediately tells how many real-number solutions the equation has.
Completing the Square
14. Completing the Square
March 4, 2011
Turn a quadratic equation into an easily solvable form that includes a perfect square, a technique called completing the square. An important benefit of this approach is that the rewritten form gives the coordinates for the vertex of the parabola represented by the equation.
Algebra II: Quadratic Equations - Factoring (Level 10 of 10) | Trial and Error, Decomposition IV
13. Algebra II: Quadratic Equations - Factoring (Level 10 of 10) | Trial and Error, Decomposition IV
 
This video concludes the series on solving quadratic equations of the form ax^2+bx+c=0 by factoring. This video goes over four slightly more challenging examples where the coefficient of the quadratic term is greater than 1.
Algebra II: Quadratic Equations - Factoring (Level 9 of 10) | Trial and Error, Decomposition III
12. Algebra II: Quadratic Equations - Factoring (Level 9 of 10) | Trial and Error, Decomposition III
 
This video continues covering the proper way to solve quadratic equations of the form ax^2+bx+c=0 by factoring. This video goes over two examples where the coefficient of the quadratic term is greater than 1. The first example involves an equation where the coefficient of the linear term is negative and that of the constant term is also negative.
Algebra II: Quadratic Equations - Factoring (Level 8 of 10) | Trial and Error, Decomposition II
11. Algebra II: Quadratic Equations - Factoring (Level 8 of 10) | Trial and Error, Decomposition II
 
This video continues covering the proper way to solve quadratic equations of the form ax^2+bx+c=0 by factoring. This video goes over an example where the coefficient of the quadratic term is greater than 1. The example involves an equation where the coefficient of the linear term is negative and that of the constant term is positive.
Algebra II: Quadratic Equations - Factoring (Level 7 of 10) | Trial and Error, Decomposition I
10. Algebra II: Quadratic Equations - Factoring (Level 7 of 10) | Trial and Error, Decomposition I
 
This video continues covering the proper way to solve quadratic equations of the form ax^2+bx+c=0 by factoring. This video goes over an example where the coefficient of the quadratic term is greater than 1. This video covers two common methods to solve quadratic equations of this form the first is by trial and error and the second is by the method of decomposition and grouping.
Algebra II: Quadratic Equations - Factoring (Level 6 of 10) | Trinomials III
9. Algebra II: Quadratic Equations - Factoring (Level 6 of 10) | Trinomials III
 
This video continues covering the proper way to solve quadratic equations of the form ax^2+bx+c=0 by factoring. This video goes over 5 slightly harder examples that require algebraic manipulation, collecting like terms and expanding terms before proceeding with the factoring step.
Algebra II: Quadratic Equations - Factoring (Level 5 of 10) | Trinomials II
8. Algebra II: Quadratic Equations - Factoring (Level 5 of 10) | Trinomials II
 
This video continues covering the proper way to solve quadratic equations of the form ax^2+bx+c=0 by factoring. This video goes over 2 examples where the constant of the quadratic equation is negative. In addition, an example introducing the idea of an irreducible polynomial is also presented.
Algebra II: Quadratic Equations - Factoring (Level 4 of 10) | Trinomials I
7. Algebra II: Quadratic Equations - Factoring (Level 4 of 10) | Trinomials I
 
This video is an introduction to solving quadratic equations of the form ax^2+bx+c=0 by factoring. This video goes over 2 examples modeling the proper way to factor quadratic trinomials that are factorable over the integers.
Algebra II: Quadratic Equations - Factoring (Level 3 of 10) | Binomials II
6. Algebra II: Quadratic Equations - Factoring (Level 3 of 10) | Binomials II
 
This video continues covering the general procedure in solving quadratic equations by factoring. This video goes over 3 slightly harder examples modeling the proper way to factor quadratic equations of the form ax^2+bx=0. In addition, the video covers a common mistake that is associated with quadratic binomials when attempting to solve for x.
Algebra II: Quadratic Equations - Factoring (Level 2 of 10) | Binomials I
5. Algebra II: Quadratic Equations - Factoring (Level 2 of 10) | Binomials I
 
This video continues covering the general procedure in solving quadratic equations by factoring. This video goes over 3 examples modeling the proper way to factor quadratic equations of the form ax^2+bx=0 and using the zero product property as a basis to solve quadratic equations of this particular form.
Algebra II: Quadratic Equations - Factoring (Level 1 of 10) | Zero Product Property
4. Algebra II: Quadratic Equations - Factoring (Level 1 of 10) | Zero Product Property
 
This video is an introduction to solving quadratic equations by factoring. This video goes over 6 examples modeling the proper way to use the zero product property as a basis to solve quadratic equations by factoring.
Algebra II: Quadratic Equations (Level 3 of 3) | Solving by Taking the Square Root
3. Algebra II: Quadratic Equations (Level 3 of 3) | Solving by Taking the Square Root
 
This video goes over 7 examples covering the proper way to solve quadratic equations of the form a(px+q)^2=0 and a(px+q)^2+c=0, the common method used to solve quadratic equations of these forms is by taking the square root.
Algebra II: Quadratic Equations (Level 2 of 3) | Solving Quadratic Monomials and Binomials
2. Algebra II: Quadratic Equations (Level 2 of 3) | Solving Quadratic Monomials and Binomials
 
This video goes over 5 examples covering the basic notation, concepts, graphs and algorithms to solve quadratic monomials of the form ax^2=0, and quadratic binomials of the form ax^2+c=0.
Algebra II: Quadratic Equations (Level 1 of 3) | Types, Standard Form, Solutions
1. Algebra II: Quadratic Equations (Level 1 of 3) | Types, Standard Form, Solutions
 
This video goes over the basic theory and terminology for the purpose of solving quadratic equations. Topics covered include: types of quadratic equations, the standard form of a quadratic equation, and solutions of quadratic equations.
Description
Where to Watch Algebra II (Intermediate Algebra)
Algebra II (Intermediate Algebra) is available for streaming on the Math Fortress website, both individual episodes and full seasons. You can also watch Algebra II (Intermediate Algebra) on demand at Amazon Prime and Amazon.
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