WGU D126 Mathematics for Elementary Educators II Study Guide - A+ Graded Solutions

WGU D126 Mathematics for Elementary Educators II Study Guide - A+ Graded Solutions common ratio - answer - The amount each consecutive term is multiplied by in a geometric sequence. pattern - answer - A set of numbers or shapes arranged according to a rule. addition - answer - Finding the total of two or more values. sequence - answer - Numbers or shapes in a particular order. difference - answer - The result of one number being subtracted from another number. odd number - answer - An integer that is not even; any integers not divisible by 2. arithmetic pattern - answer - A set of numbers with a constant difference between consecutive terms. term - answer - An individual number or variable, or numbers and variables multiplied together in an expression, separated by addition, +, subtraction, -, or division ÷ signs. Numbers or variables separated by an operation symbol or equal sign. operation - answer - A mathematical calculation or process. The most common are addition, subtraction, multiplication, and division. geometric pattern - answer - A set of shapes with a repetitive order, also known as a shape pattern. subtraction - answer - Finding the difference between values. multiplication - answer - An operation performed on two numbers that results in a product. This operation is often denoted by the dot sign, ·. set - answer - A collection of things. In the context of math, these are usually collections of numbers. even number - answer - An integer that is divisible by 2. negative number - answer - A number whose value is less than zero. On the number line, these numbers are to the left of zero. consecutive term - answer - A term in a pattern or sequence that immediately follows another term with no gaps between them. ellipsis - answer - A symbol made up of three dots (...) that is used at the end of a sequence to indicate that the sequence is infinite, or goes on forever. Used in the middle of a sequence, it indicates continuing. shape pattern - answer - A set of shapes with a repetitive order, also known as a geometric pattern. positive number - answer - A number whose value is greater than zero. On the number line, these numbers are to the right of zero. Unlike Term - answer - A term that does not have the same variable(s) with the same exponent(s) as another term. The terms cannot be combined using addition or subtraction. Exponent - answer - Sometimes called a power, it is a number that shows how many times the base is multiplied by itself. For example, the 3 in 8^3. Factoring - answer - In algebra, breaking an expression into its factors. These factors can be multiplied together, producing the original expression. Constant - answer - A value that is known and unchanging. Order of operations - answer - A set of rules that defines the order in which mathematical operations should be performed. Combine like terms - answer - Combining terms that have the same variable component. Combining like terms helps to consolidate when solving an equation. Degree - answer - The largest exponent in an expression. Inverse Operation - answer - An operation that undoes another operation. Distributive Property - answer - A mathematical principle used to multiply one term by multiple terms. This principle is employed when there are parentheses around multiple terms, which are in turn multiplied by a single term. Algebraic Expression - answer - A string of terms that are connected by division, addition, and subtraction operations. Substitution - answer - When a variable is plugged back into the equation for the chosen variable and solved. Equation - answer - Two mathematical expressions separated by the equals sign, =. The two expressions on either side of the equals sign hold the same value as one another. Perimeter - answer - The sum of the lengths of the sides of a two-dimensional figure. Quotient - answer - The result of division. Variable - answer - A symbol, such as x, that represents an amount or quanti