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Brian McLogan
Dividing two exponents with rational powers to simplify the expression
π Learn how to divide with rational powers. To divide with numbers/expressions with rational exponents, we apply the basic rules of exponents. If the two numbers/expressions are the same, we simply take one of the number and raise it to...
Brian McLogan
Simplify two rational expression by adding
Learn how to add/subtract rational expressions. When adding or subtracting two or more rational expressions with common denominators, we add or subtract only the numerator while we keep the denominator the same. We will then simplify our...
Curated Video
Adding Rational Numbers
In this video lesson we will learn the rules for adding rational numbers. We will apply the rules we have learned for adding integers. When adding the same signed rational values, we will add the absolute values and keep the sign. When...
Brian McLogan
How to verify an identity by simplifying complex fractions
π Learn how to verify trigonometric identities having rational expressions. To verify trigonometric expression means to verify that the term(s) on the left hand side of the equality sign is equal to the term(s) on the right hand side. To...
Brian McLogan
Writing an equation using point slope form given two points
π Learn how to write the equation of a line given two points on the line. The equation of a line is such that its highest exponent on its variable(s) is 1. (i.e. there are no exponents on its variable(s)). There are various forms which...
Brian McLogan
Sum and Difference Formula Evaluate with Right Triangles
Sum and Difference Formula Evaluate with Right Triangles
Brian McLogan
Solving Rational Equations | Three Mistakes
Being a teacher for many years I can tell you I know where students make their mistakes. In this video I will show you the top three mistakes I see students making when solving rational equations
Brian McLogan
Student Mistakes with FRACTIONS
πIn this video I will explore some of the reasons that I see students struggle with fractions and what they can learn about those struggles to get better at math.
Brian McLogan
Combining rational expressions
Learn how to add/subtract rational expressions. When adding or subtracting two or more rational expressions with common denominators, we add or subtract only the numerator while we keep the denominator the same. We will then simplify our...
Brian McLogan
Math Lesson for adding two rational expressions by determining a common denominator
Learn how to add/subtract rational expressions with trinomials in the denominator. When adding or subtracting two or more rational expressions with common denominators, we add or subtract only the numerator while we keep the denominator...
Brian McLogan
Learn how to divide two exponents with rational powers
π Learn how to divide with rational powers. To divide with numbers/expressions with rational exponents, we apply the basic rules of exponents. If the two numbers/expressions are the same, we simply take one of the number and raise it to...
Curated Video
Rules for Subtracting Rational Numbers
In this interactive video we will review the rule for subtracting numbers. To subtract, change subtraction to addition and add the opposite value. I will model this using KEEP - CHANGE - OPPOSITE. There are 12 student practice...
Curated Video
Estimating the Reasonableness of Answers to Word Problems with Mixed Numbers
In this video, the teacher explains how to estimate the reasonableness of answers to word problems involving mixed numbers. The teacher introduces the concept of models, which are pictures that represent fractions, and explains that a...
Brian McLogan
How to add two fractions when the denominators are not the same
π Learn how to add and subtract fractions whose denominators are not the same. Recall that when we want to add or subtract fractions having the same denominator, we add the numerators and retain the (common) denominator. This is...
Brian McLogan
Determine the complement and supplement of an angle
π Learn how to find the complement and the supplement of a given angle. Two angles are said to be complementary if they add up to 90 degrees (pi/2 in radians) and are said to be supplementary if they add up to 180 degrees (pi in...
Brian McLogan
How to determine all of the solutions between 0 and 2pi for tangent of a triple angle
π Learn how to solve trigonometric equations. There are various methods that can be used to evaluate trigonometric equations, they include by factoring out the GCF and simplifying the factored equation. Another method is to use a...
Brian McLogan
Verifying trigonometric identities by multiplying two binomials
π Learn how to verify trigonometric identities by expanding the trigonometric expressions. When the given trigonometric expressions involve multiplications with more than one term in parenthesis, we start by expanding the expressions...
Brian McLogan
Learn how to verify a trigonometric function by combining two rational expressions
π Learn how to verify rational trigonometric identities involving the addition and subtraction of terms. To verify trigonometric expression means to verify that the term on the left-hand side of the equality sign is equal to the term on...
Brian McLogan
Evaluate the half angle for cosine of 22 5 degrees
π Learn how to evaluate the Sine of an angle using the half-angle formula. The half-angle formula for Sine is helpful when you need to determine the exact value of function given an angle but cannot use a calculator or the angle is not...
Brian McLogan
How to verify an identity without finding the LCD
π Learn how to verify rational trigonometric identities involving the addition and subtraction of terms. To verify trigonometric expression means to verify that the term on the left-hand side of the equality sign is equal to the term on...