# 6th Grade Math Worksheets and Study Guides

The big ideas in **Sixth Grade Math** include connecting ratio and rate to whole number multiplication and division and using concepts of ratio and rate to solve problems, division of fractions, rational numbers, writing, interpreting, and using expressions and equations and understanding of basic concepts in statistics and probability.

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with Math Worksheet Generator### Data Analysis & Probability

Estimation is the process of rounding a number either up or down to the nearest place value requested. Estimation makes it easier to perform mathematical operations quickly. Read more...iWorksheets: 6Study Guides: 1 A graph is a diagram that shows information in an organized way. Read more...iWorksheets: 6Study Guides: 1 Probability word problems worksheets. Probability is the possibility that a certain event will occur. An event that is certain to occur has a probability of 1. An event that cannot occur has a probability of 0. Therefore, the probability of an
event occurring is always between 0 and 1. The closer a probability is to 1, the more certain that an event will occur. Read more...iWorksheets: 3Study Guides: 1 A statistic is a collection of numbers related to a specific topic. Read more...iWorksheets: 6Study Guides: 1 ### Expressions & Equations

FreeWhat are algebraic equations? Algebraic equations are mathematical quations that contain a letter or variable, which represents a number. Read more...iWorksheets: 6Study Guides: 1 The
commutative property allows us to change the order of the
numbers
without changing the outcome of the problem. The
associative property
allows us to change the grouping of the
numbers. Read more...iWorksheets: 4Study Guides: 1 FreeThe use of coordinates pertains to graphing and the quadrants that are formed by the x and y-axis. Read more...iWorksheets: 14Study Guides: 1 The distributive property offers a choice in multiplication of two ways to treat the addends in the equation. We are multiplying a sum by a factor which results in the same product as multiplying each addend by the factor and then adding the products. Read more...iWorksheets: 3Study Guides: 1 The formulas contain places for inputting numbers. Evaluating a formula requires inputting the correct data and performing the operations. Read more...iWorksheets: 3Study Guides: 1 An algebraic equation is an expression in which a letter represents an
unknown number Read more...iWorksheets: 5Study Guides: 1 A numerical expression is a phrase which represents a number. Read more...iWorksheets: 8Study Guides: 1 Simple algebra is the term used when using expressions with letters or variables that represent numbers. Read more...iWorksheets: 3Study Guides: 1 ### Geometry

An area is the amount of surface a shape covers. <br>An area is measured in inches, feet, meters or centimeters. Read more...iWorksheets: 3Study Guides: 1 FreeThe circumference of a circle is the distance around the outside. The area of a circle is the space contained within the circumference. It is measured in square units. Read more...iWorksheets: 6Study Guides: 1 Calculate the area of basic polygons drawn on a coordinate plane. Coordinate plane is a grid on which points can be plotted. The horizontal axis is labeled with positive numbers to the right of the vertical axis and negative numbers to the left of the vertical axis. Read more...iWorksheets: 3Study Guides: 1 The area is the surface or space within an enclosed region. Area is
expressed in square units. Read more...iWorksheets: 8Study Guides: 1Vocabulary: 2 The diameter of a circle is a line segment that passes through the center of a circle connecting one side of the circle to the other. Read more...iWorksheets: 3Study Guides: 1 FreeThere are many units of measurement: inches, feet, yards, miles,
millimeters, meters, seconds, minutes, hours, cups, pints, quarts,
gallons, ounces, pounds, etc Read more...iWorksheets: 6Study Guides: 1 A perimeter is the measurement of the distance around a figure. It is measured in units and can be measured by inches, feet, blocks, meters, centimeters or millimeters. Read more...iWorksheets: 3Study Guides: 1 In a coordinate pair, the first number indicates the position of the
point along the horizontal axis of the grid. The second number
indicates the position of the point along the vertical axis. Read more...iWorksheets: 4Study Guides: 1Vocabulary: 1 Volume measures the amount a solid figure can hold. Read more...iWorksheets: 3Study Guides: 1 ### Ratios & Proportional Relationships

Adding or substracting fractions means to add or subtract the numerators and write the sum over the common denominator. Read more...iWorksheets: 8Study Guides: 1 Adding fractions is the operation of adding two or more different fractions. Read more...iWorksheets: 3Study Guides: 1 Division is a mathematical operation is which a number, called a dividend
is divided by another number, called a divisor to get a result, called a
quotient. Read more...iWorksheets: 3Study Guides: 1 The exponent represents the number of times to
multiply the number, or base. When a number is represented in this way it is called a power. Read more...iWorksheets: 4Study Guides: 1 Any fraction can be changed into a decimal and any decimal can be changed into a fraction. Read more...iWorksheets: 3Study Guides: 1 Multiplication is a mathematical operation in which numbers, called factors, are multiplied together to get a result, called a product. Multiplication can be used with numbers or decimals of any size. Read more...iWorksheets: 3Study Guides: 1 To multiply two fractions with unlike denominators, multiply the numerators and multiply the denominators. It is unnecessary to change the denominators for this operation. Read more...iWorksheets: 4Study Guides: 1 Multiplying fractions is the operation of multiplying two or more fractions together to find a product. Read more...iWorksheets: 3Study Guides: 1 A number pattern is a group of numbers that are related to one another in some sort of pattern. Finding a pattern is a simpler way to solve a problem. Read more...iWorksheets: 3Study Guides: 1 The order of rational numbers depends on their relationship to each other and to zero. Rational numbers can be dispersed along a number line in both directions from zero. Read more...iWorksheets: 6Study Guides: 1 A percent is a way of comparing a number with 100. Percents are usually written with a percent sign. To solve a percent problem, multiply the value by the percent using
one of the representations for the percent. Read more...iWorksheets: 3Study Guides: 1 The term percent refers to a fraction in which the denominator is 100.
It is a way to compare a number with 100. Read more...iWorksheets: 6Study Guides: 1 Equivalent fractions represent the same ratio between two values. Read more...iWorksheets: 3Study Guides: 1 A ratio is a comparison of two numbers. The two numbers must have
the same unit in order to be compared. Read more...iWorksheets: 3Study Guides: 1 A proportion is a statement that two ratios are equal. A ratio is a pair of numbers used to show a comparison. To solve a proportion, calculate equivalent fractions in order to be sure the two fractions (ratios) are equal. Read more...iWorksheets: 3Study Guides: 1 Simplifying fractions is the process of reducing fractions and putting them into their lowest terms. Read more...iWorksheets: 3Study Guides: 1 Tables refer to the different types of diagram used to display data. <br>There are many types of tables such as data table, frequency table, line chart and stern-and-leaf plot. Read more...iWorksheets: 3Study Guides: 1 ### The Number System

Evaluating an expression containing a number with an exponent
means to write the repeated multiplication form and perform the
operation Read more...iWorksheets: 3Study Guides: 1 An exponent is a smaller-sized number which appears to the right and slightly above a number. Read more...iWorksheets: 4Study Guides: 1 A mixed number has both a whole number and a fraction. Read more...iWorksheets: 4Study Guides: 1 What are multiple representations of rational numbers? A rational number represents a value or a part of a value. Rational numbers can be written as integers, fractions, decimals, and percents.The different representations for any given rational number are all equivalent. Read more...iWorksheets: 3Study Guides: 1 The result of raising a number to a power is the same number that would be obtained by multiplying the base number together the number of times that is equal to the exponent. Read more...iWorksheets: 3Study Guides: 1 The number system we use is based on a place value system. Although
there are only 10 different digits in this system, it is possible to order them in so many variations that the numbers represented are infinite. Read more...iWorksheets: 4Study Guides: 1 Standards

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