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How to Multiply Fractions
Howcast - Don't let math intimidate you. Whether you're multiplying two fractions or a fraction and a whole number, solve the problem without a calculator in just a few steps.
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How to Divide Fractions
Math can be scary, but don't give up. Follow these simple steps, and soon you'll be dividing fractions like a pro.
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How to Win Bets
If you've been on a losing streak, this guide will get lady luck back on your side.
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What Are Fractals and Why They're Everywhere
Fractals are complex geometric patterns that exhibit self-similarity, meaning they repeat their shape at different scales. They are found in nature, mathematics, science, and art, and they have applications in various fields, such as...
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Arc Measure vs Arc Length
In this video, we try to build a conceptual understanding of how to find arc length of a circle using a the proportion strategy or the equation strategy. *Important note: the arc measure is independent of the radius! *In the example at...
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Using Number Lines in Geometry (Segment Addition)
In this video we use number lines to find midpoints, lengths, and solve other similar problems.
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Complex Fractions
In this video, we see how to simplify "complex fractions," which means a fraction within a fraction.
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Work Rates Word Problem (2 examples)
In this video, we work out work rates word problems. In the first problem, we see how long it takes to build furniture while working together. In the second problem, we see how long it takes to paint a room when working together.
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Work Rates Problems (more challenging)
In this video, we work out a work rates problem that has a small twist. You are given how long it takes both people to complete the job together, and then you are asked about an individual rate. This problem involves shoveling snow, but...
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Quadratic Formula (Advanced)
In this video, we learn how to solve quadratic equations with the quadratic formula. We examine one example where we have to simplify the radical, and a second example with a nonreal solution.
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Unit Circle 2 - The Points
This is my second video on deriving the Unit Circle. If you know where the angles (degrees and radians) come from, your next step is to use special right triangles to derive the points on the Unit Circle.
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Find Trig Ratios (when given another ratio)
In this video, we investigate how to find trig ratios when given other ratios. First, we define all six trig ratios, then we examine for which quadrant each angle is positive and negative. Then, we work two examples.
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Exterior Angle Sum
The sum of the exterior angles of a polygon is discussed in this video. We derive the rule, solve practice problems, and then at the end we look at an interesting relationship between the sum of the INTERIOR angles and the sum of the...
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Trig Identities Practice Problems (Reciprocal, Quotient, and Pythagorean Identities)
In this video, we will practice simplifying expressions using the basic trig identities. We will work three practice problems using Reciprocal, Quotient, and Pythagorean Identities.
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Verifying Identities (Basic Trig Identities)
In this video we will VERIFY identities (see if the identity is true) using the basic trig identities - reciprocal, quotient, and Pythagorean.
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Pythagorean Identities (Basic Trig Identities)
In this video, we are going to derive the Pythagorean Identities (proofs) and then we will simplify expressions using these identities. We will work through 3 practice problems.
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Bearing Problems Trigonometry
How to solve problems with bearing using trigonometry. Bearing is often used as a way of describing direction in sailing and navigation. Once you know the basic definitions and some trigonometry, you can use bearing to find direction and...
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PROOF of Law of Sines
How to prove the Law of Sines. Why does the Law of Sines work? In this video we prove the Law of Sines for right triangles. The Law of Sines is a great tool for finding side lengths and angle measures of triangles, so it is good to know...
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Box Method for Dividing Polynomials
How do you divide polynomials? This video discusses how to divide polynomials with the box method. I prefer the box method because the standard algorithm for dividing polynomials can be a bit confusing.
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Box Method for Dividing Polynomials with Remainder
How to divide polynomials with a box method when there is a remainder? This video examines how to use the box method for polynomial division when there is a remainder involved. This method is (in my opinion) much easier than the standard...
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Sum of Finite Arithmetic Sequence
How can you evaluate an arithmetic series for the first n terms? This video derives the rule/equation, and then includes a few practice problems. We begin by investigating how to the the sum of the first "n" natural numbers, then we...
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Rewriting repeating decimal as fraction (infinite geometric series)
How do geometric sequences & series relate to repeating decimals? In this video we investigate how our knowledge of sum of infinite geometric series help us rewrite repeating decimals as fractions.
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Fundamental Counting Principle and Factorial Rule of Counting
What is a factorial? What is the fundamental counting principle? This video will define these two ideas and provide examples. You will often see these type of problems when figuring out how many ways toppings can go on ice cream or how...
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Systems of Equations (with a table) - Motion Problems
How do you set up distance-rate-time word problems and use a system of equations? This video shows how to use a table to organize information and write the needed equations to solve the system.