Brian McLogan
How to take the integral of tangent
π Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite...
Brian McLogan
How to solve a quadratic equation by using the square root method with irrational solutions
πLearn how to solve quadratic equations using the square root method. It is important to understand that not all quadratics have to be solved using factoring or quadratic formula. When we only have one variable but it is squared we can...
Brian McLogan
How to solve a proportion with a variable on both sides
π Learn how to solve proportions. Two ratios are said to be proportional when the two ratios are equal. Thus, proportion problems are problems involving the equality of two ratios. When given a proportion problem with an unknown, we...
Brian McLogan
Dividing rational expressions
Learn how to divide rational expressions. A rational expression is an expression in the form of a fraction, usually having variable(s) in the denominator. Recall that to divide by a fraction, we multiply by the reciprocal of the...
Brian McLogan
Dividing rational expressions
Learn how to divide rational expressions. A rational expression is an expression in the form of a fraction, usually having variable(s) in the denominator. Recall that to divide by a fraction, we multiply by the reciprocal of the...
Brian McLogan
Expanding logarithmic expressions
π Learn how to expand logarithmic expressions involving radicals. A logarithmic expression is an expression having logarithms in it. To expand logarithmic expressions means to use the logarithm laws to expand (open up) logarithm...
Brian McLogan
Finding the domain when the radical is in numerator, denominator and both
π Learn how to find the domain of rational functions with a radical numerator. Recall that the domain of a function is the set of possible input values (x-values) of the function. For a rational function, the denominator cannot be zero...
Curated Video
Identifying Fractions Equal to 1 Whole
In this lesson, students learn how to identify fractions that are equal to 1 whole and determine the number of fractional pieces needed to make 1 whole. They explore visual fraction models and understand that the numerator and...
Curated Video
Representing Fractions as Sums of Unit Fractions Using Pictures
In this video, students will learn how to break down fractions into smaller unit fractions using visual representations. The teacher explains the parts of a fraction, including the numerator and denominator, and demonstrates how to...
Curated Video
Generating Equivalent Fractions Using Number Lines
In this video, students will learn how to generate equivalent fractions using number lines. The teacher explains the importance of considering both the numerator and denominator when comparing fractions. The students are guided through...
Brian McLogan
Evaluate an expression with two variables ex 7, ((3b)^2 + b) / c; b = 4; c = 8
π Learn how to evaluate mathematics expressions. A mathematics expression is a finite combination of numbers and symbols formed following a set of operations or rules. To evaluate a mathematics expression means to obtain the solution to...
Brian McLogan
Evaluating an expression with one variable ex 9, ((z - 1)^2 + z) / (z + 1); z = -7
π Learn how to evaluate mathematics expressions. A mathematics expression is a finite combination of numbers and symbols formed following a set of operations or rules. To evaluate a mathematics expression means to obtain the solution to...
Brian McLogan
Verifying trigonometric identities, hard with multiple steps
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
Simplify expressions using fundamental identities
π Learn how to simplify trigonometric expressions by factoring, expansion, and re-grouping. To simplify a trigonometric identity means to reduce the identity to the simplest form it can take which may be a number or a simple...
Brian McLogan
Using the reciprocal of a fraction to rewrite an expression with a positive power
π Learn how to simplify expressions using the power rule and the negative exponent rule of exponents. When several terms of an expression is raised to an exponent outside the parenthesis, the exponent is distributed over the individual...
Brian McLogan
Simplify an expression by applying quotient rule of exponents
π Learn how to simplify expressions using the quotient rule of exponents. The quotient rule of exponents states that the quotient of powers with a common base is equivalent to the power with the common base and an exponent which is the...
Brian McLogan
Learn how to multiply rational expressions
π Learn how to simplify expressions by multiplying its terms. When multiplying expressions, each individual term of the expression is multiplied to its like term and the exponents are evaluated using the product rule, the quotient rule...
Brian McLogan
Dividing two radical expressions by rationalizing the denominator
π Learn how to find the square root of rational expressions. To find the square root of a rational expression, we first express the rational expression as the square root of the numerator divided by the square root of the denominator....
Brian McLogan
Law of sines Ambiguous case - Two Cases
π Learn how to determine if a given SSA triangle has 1, 2 or no possible triangles. Given two adjacent side lengths and an angle opposite one of them (SSA or ASS), then there are 3 possible cases: there can be 1 solution, 2 solutions,...
Brian McLogan
Simplifying a complex fraction by eliminating all of the fractions with the LCD
π Learn how to simplify complex fractions. To simplify complex fractions having the addition/subtraction of more than one fractions in the numerator or/and in the denominator we first evaluate the numerator or/and the denominator...
Brian McLogan
Learn the easy way how to simplify a complex fraction multiplying by the reciprocal
π Learn how to simplify complex fractions. To simplify complex fractions having a fraction as the numerator and another fraction as the denominator we first factor the expressions that can be factored and then we multiply the fraction in...
Brian McLogan
Learn how to simplify a complex fraction in easy way
π Learn how to simplify complex fractions. To simplify complex fractions having a fraction as the numerator and another fraction as the denominator we first factor the expressions that can be factored and then we multiply the fraction in...
Curated Video
GCSE Secondary Maths Age 13-17 - Algebra: Algebra - Explained
SchoolOnline's Secondary Maths videos are brilliant, bite-size tutorial videos delivered by examiners. Ideal for ages 13-17, they cover every key topic and sub topic covered in GCSE Maths in clear and easy to follow steps. This video...
Curated Video
I WONDER - What Is A Fraction?
This video is answering the question of what is a fraction.