Important Mathematics Vocabulary for Praxis II ParaPro Test Prep Study Guide (page 2)
The practice quiz for this study guide can be found at:
The math section of the ParaPro Assessment will test your knowledge of important math terms. You will be expected to know the bolded words in the following paragraphs. Make sure you are familiar with every one of these terms before taking the test.
Area is the amount of space inside a two-dimensional shape.
The average (arithmetic mean) of a set of values is the number found when all the values are added together and divided by the number of values. For example, the average of 1, 2, and 6 is 3 because 1 + 2 + 6 = 9 and 9 ÷ 3 = 3.
A bar graph is a chart or graph that compares amounts for different categories.
A circle is a curved, two-dimensional figure where every point is the same distance from the enter.
A circle graph is a diagram in the shape of a circle which shows the parts of a whole.
The circumference is the total distance around a circle.
A composite number is a number that has more than two factors. For example, the numbers 4, 9, and 100 are all composite numbers.
A coordinate plane is a grid created by a horizontal x-axis and a vertical y-axis.
The denominator is the bottom number of a fraction. For example, in the fraction , the denominator is 2.
The diameter is a line that goes directly through the center of a circle—the longest line segment that can be drawn in a circle.
The difference is the solution to a subtraction problem.
A digit is a number from 0 through 9. For example, the number 123 has three digits: 1, 2, and 3.
An equation is a mathematical statement that states the equality of two expressions, and uses an equals sign, =. For example, 4 + 5 = 9 is an equation.
An equilateral triangle is a triangle that has three sides with the same length.
An expression is a mathematical statement that does not use an equals sign, =, or inequality symbol, such as < or >. For example, 3 + 1 is an expression.
A factor of a number is any integer that divides evenly into another integer without a remainder. For example, the factors of 6 are –6, –3, –2, –1, 1, 2, 3, and 6.
A fraction is a part of a whole, represented with one number over another number. For example, and are fractions.
A hexagon is a polygon with six sides and six angles.
The hundredths digit is the digit two places to the right of the decimal point. For example, in the number 12.34, the digit 4 is in the hundredths place.
An integer is positive or negative whole number or 0. For example, the numbers –3, –1, 0, and 128 are all integers.
An isosceles triangle is a triangle that has two sides with the same length.
A line graph is a diagram that uses a line to show a change over time.
The mean of a data set is the average found by adding all of the numbers together and dividing by the quantity of numbers in the set. For example, the mean of 2, 4, 6, 8, and 10 is 6. (2 + 4 + 6 + 8 + 10 = 30; and 30 ÷ 5 = 6.)
The median of a data set is the center number, if the values are in ascending or descending order. For example, the median of 3, 5, 7, 9, 11 is 7, because 7 is the digit in the middle of the set.
The mode of a data set is the number that appears the greatest number of times. For example, the mode of 3, 8, 3, 9, 16 is 3, because it appears the most out of the available numbers.
A multiple of a number is the product of an integer and another integer. For example, the numbers 3, 6, 9, and 12 are all multiples of 3.
The numerator is the top number of a fraction. In the fraction , the numerator is 1.
An octagon is a polygon with eight sides and eight angles. It may help to remember the meaning of this polygon by seeing the prefix of the word, oct–, which means eight (like octopus).
A pattern is a series of figures of numbers that repeat in a predictable way.
A percent is a way to show a numerical fraction of 1 (whole), where 1 is equal to 100%.
The perimeter is the total distance around the edges of a polygon.
A pictograph is a diagram or chart that uses pictures, or graphics, to show the level of occurrence for different categories.
A polygon is a two-dimensional object with straight lines that create a closed figure.
A prime number is a number that is only evenly divisible by itself and the number 1. For example, 3, 7, and 29 are all prime numbers.
The product of two or more numbers is the result when they are multiplied together.
A quadrilateral is a polygon with four sides and four angles. It may help to remember the meaning of this polygon by seeing the prefix of the word, quad–, which means four.
The quotient is the solution to a division problem.
The radius is a line segment from the center of a circle to a point on the circle (half of the diameter).
A rectangle is a four-sided polygon with four right angles. All rectangles have two pairs of parallel sides.
A right triangle is a triangle that has one 90-degree (right) angle.
A scalene triangle is a triangle that has no sides that are the same length.
A square is a four-sided polygon with four right angles and four equal sides. All squares have two pairs of parallel sides.
The sum of two or more numbers is the result when they are added together.
The tenths digit is the digit one place to the right of the decimal point. For example, in the number 12.34, the digit 3 is in the tenths place.
The thousandths digit is the digit three places to the right of the decimal point. For example, in the number 12.345, the digit 5 is in the thousandths place.
A triangle is a polygon with three sides and three angles. It may help to remember the meaning of this polygon by seeing the prefix of the word, tri–, which means three (like tripod).
A variable is a letter that represents an unknown number.
Volume is the amount of space inside a three-dimensional shape.
A whole number is a positive number that is neither a decimal nor a fraction, or zero. The numbers 0, 3, 19, and 1,218 are all whole numbers.
Math Skills and Knowledge Review
ETS, the maker of the ParaPro Assessment, says that there are five different math subjects to know for the math section of the test. There will be about 18 questions on the math section that will test your knowledge of these subjects in a general way. The subjects are as follows, with bullet points to show how each subject will be tested on the ParaPro Assessment:
- add, subtract, multiply, and divide whole number, fractions, and decimals
- understand the place-value system for both decimals and whole numbers
- recognize the meaning of math terms and symbols, such as product, quotient, ÷, <, or >
- use percentages
- understand that numbers can be expressed in different ways, such as one hundredth, 0.01, and 1%
- identify the relative value of numbers, such as the fact that 2.5 is between 2 and 3
- use estimation
- demonstrate knowledge of the order of operations
- solve single-step linear equations with one variable, such as x + 1 = 3
- identify a pattern and the numbers that follow
- recognize and name geometric shapes, such as triangles, quadrilaterals, or other polygons
- find the perimeter, area, and volume for shapes
- graph points and identify ordered pairs on a coordinate plane
- convert units within the same system, such as 2 feet to 24 inches or 200 centimeters to 2 meters
- understand that information can be demonstrated in multiple ways, such as 1¢, $0.01, and 1 penny
- Data Organization and Interpretation
- create and interpret tables, graphs, or charts, and be able to identify trends
- calculate the mean, median, and mode
The practice quiz for this study guide can be found at:
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