# Secondary Catalogue

## Series: Mathematics

### 2-Step Problems

In this video we'll learn how to do 2-step problems, which ask us to solve one simple equation, and then take the value we found for the variable and plug it into another expression in order to find the value of the expression.

### 30-60-90 Triangles

In this video we'll learn about the special properties of 30-60-90 triangles, which are triangles that have interior angle measures of 30 degrees, 60 degrees, and 90 degrees. With these kinds of triangles, there's always a special relationship...Show More

### 45-45-90 Triangles

In this video we'll learn about the special things that happen in the specific instance of a 45-45-90 triangle, which is a triangle whose three interior angles are 45 degrees, 45 degrees, and 90 degrees. This triangle, by definition, is an...Show More

### 60°, 30°, 90°, 45° Angles

This programme shows students how to construct 60° and 90° angles using a compass and ruler and then how derive 30° and 45° angles by bisecting each of them respectively.

### Absolute and Conditional Convergence

Learn how to determine whether the series converges absolutely or conditionally using the ratio and root tests.

### Absolute Value

In this video we'll learn about absolute value, and how absolute value is really just distance from the origin on a number line. Therefore, the absolute value of 2 and the absolute value of -2 are the equal, because they're both 2 units from the...Show More

### Absolute, Relative, and Percentage Error

In this video we'll learn to find the absolute, relative, and percentage error given by a linear approximation. The absolute error is the distance between the value along the linear approximation, and the actual value of the function. The...Show More

### Abstract Vector Spaces

What is a vector space? Even though they are initial taught in the context of arrows in space, or with vectors being lists of numbers, the idea is much more general and far-reaching.

### Accuracy: Continuous Data

In this video, the teacher demonstrates how to identify the maximum and minimum possible values of a number that has been rounded, and how to identify upper and lower bounds for continuous data.

### Accuracy: Discrete Data

In this video, the teacher demonstrates how to identify the maximum and minimum possible values of a number that has been rounded, and how to identify upper and lower bounds for discrete data.

This video shows students what adding a constant does to a graph. It shows the result of adding a positive or negative constant inside or outside the brackets of a parabola or cubic graph.

### Adding and Subtracting Algebraic Fractions

This video shows students how to add or subtract algebraic fractions, by first factorising the numerator and denominator in order to simplify the fractions and find the lowest common denominator.

In this video we learn how to add and subtract fractions with different denominators by finding a common denominator. Finding a common denominator is just about finding the least common multiple of the denominators, and multiplying each...Show More

### Adding and Subtracting like Terms

In this video we'll learn how to add and subtract like terms. When we're adding or subtracting, like terms are terms in which both the base and the exponent are the same.

### Adding and Subtracting Mixed Numbers

In this video we learn how to add and subtract mixed numbers, which are a combination of whole numbers and fractions. In order to add and subtract the mixed numbers, we'll combine the whole numbers separately from the fractions. In order to...Show More

In this video we'll learn how to add polynomials together and subtract polynomials from one another. We'll do this by combining like terms, which will be terms with the same base and the same exponent, since we're doing addition and subtraction.

In this video we learn how to add and subtract radicals, or square roots. We can only add together or find the difference of square roots when they are the square roots of the same number.

### Adding and Subtracting Rational Functions

In this video we learn how to add and subtract rational expressions, which are just fractional expressions in which the numerator and denominator are both polynomials. Just like with simple fractions, we have to find a common denominator in order...Show More

### Adding and Subtracting Signed Numbers

In this video we'll learn how to add and subtract signed numbers, or negative numbers. If both numbers have the same sign, then the result will have the same sign as the original numbers. In other words, if we add two positive numbers, the result...Show More

In this video we learn how to add mixed measures. Specifically, we learn how to add hours, minutes and seconds, and yards, feet and inches.

Alright, so we've decided to learn all of the maths, but where shall we start? Well, let's start at the beginning. The first kind of math we developed was simple arithmetic. We needed this at the dawn of civilisation to communicate very simple...Show More

### Addition and Subtraction of Fractions

We know about addition and subtraction, we know about fractions, so let's learn to add and subtract fractions! This is now possible because we know how to find the least common multiple of two numbers, which we will need to do to be able to get...Show More