The relationship between two variables can be represented graphically. When the rate of change for both variables is constant, the relationship between these two variables is represented by a straight line. When the rate of change is constantly varying, the relationship between the two variables is represented graphically by a curve. Instantaneous rate of change …
Similarity statements are logical arguments that show how two or more shapes are similar. They focus on two things: the lengths of the sides and angle measures in the two shapes. The similarity comes from the fact that two figures are identical in shape but differ in size. This is due to a scale factor …
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 …
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. Relations are defined as sets of ordered pairs. Ordered pairs are values that go together. This means that if one value is used, …
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 …
In mathematics, translation refers to shifting a figure or object in a specific direction without changing its shape, size, or orientation. Every point of the figure moves the same distance in the same direction. Walking, running, and turning are all types of movement in everyday life. In mathematics, movements through space are called transformations, and …
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 …
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. It is often referred to as the gradient of a line and is constant throughout a straight line. This means that the gradient …
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 …