A linear model is an equation that is used to compare two values i.e. x and y. In linear models, the change between the two values is consistent. This means that the x changes at the same rate in which y changes. These equations can be represented on a graph using a straight line, hence …
DEFINITIONS: Functions are mathematical relationships where each input (from a set called the domain) corresponds to exactly one output (from a set called the range), while relations allow multiple outputs for an input. EXPLANATION: Relations are defined as sets of ordered pairs. Ordered pairs are values that go together. This means that if one value …
Points can be described as positions represented by dots to indicate exact location. They can be contrasted from other geometric structures like lines, curves, or 3D objects. Unlike them, a point has no dimensions such as height, size, or volume. Therefore, we can only describe the position of a point but we can’t describe its …
DEFINITION: In mathematics, translation refers to shifting a figure or object in a specific direction without altering its shape, size, or orientation. It involves moving every point of the figure by the same distance. EXPLANATION: Walking, running, and turning are all types of movement. In mathematics, movements through space are known as transformations. There are …
Being faced with many numbers can be overwhelming. It makes sense to try and find a number that is representative of the data you’re looking at. This is where average comes in. Average in mathematics is a value that is a representation of all the numbers in a data set. Average or mean isn’t always …
DEFINITION: Permutations represent the arrangements of a set of elements in a particular order, where the order matters. It calculates the number of possible arrangements without repetition. EXPLANATION: When you arrange items in a particular order, we call this a permutation. An example is when you have A, E, T and want to take three …
DEFINITION: In mathematics, slope refers to the measure of steepness or inclination of a line, expressed as the ratio of vertical change (rise) to horizontal change (run) between two points on the line. EXPLANATION: Have you ever walked or ran up a hill and found yourself feeling exhausted? You may have wondered at how steep …
One of the most interesting objects in geometry is prisms. These are solid objects that have straight-level sides with identical opposite facing ends or bases. They take many different shapes such as the square prism, rectangular prisms, pyramids, hexagonal prisms, etc. A common prism that you will often encounter is the triangular prism. It gets …
Transversals are one of the best ways of gaining insights into the principles of geometry and angles. These principles are also useful for practical purposes such as when building structures. However, before we get into them, let’s first understand a few basics… What are parallel lines? When two lines never cross each other, we call …
You come across rectangular prisms every day but you may not refer to them as rectangular prisms. This basic three-dimensional shape makes a major part of our world. Prisms are three-dimensional shapes that have flat faces on all sides and similar parallel ends. Rectangular prisms are shapes that have 6 rectangular faces. Opposite faces on …