Adding or substracting fractions means to add or subtract the numerators and write the sum over the common denominator. Read more...iWorksheets: 7Study Guides: 1Adding fractions is the operation of adding two or more different fractions. Read more...iWorksheets: 3Study Guides: 1The area is the surface or space within an enclosed region. Area is
expressed in square units. Read more...iWorksheets: 3Study Guides: 1Vocabulary Sets: 2The
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: 1The 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: 1Division 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: 1Estimation 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: 1Evaluating an expression containing a number with an exponent
means to write the repeated multiplication form and perform the
operation Read more...iWorksheets: 3Study Guides: 1The 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: 3Study Guides: 1An exponent is a smaller-sized number which appears to the right and slightly above a number. Read more...iWorksheets: 3Study Guides: 1FreeThere 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: 1Multiplication 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: 1A 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: 1An algebraic equation is an expression in which a letter represents an
unknown number Read more...iWorksheets: 3Study Guides: 1A 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: 1A 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: 1Probability is the possibility that a certain event will occur. Probability word problems worksheets Read more...iWorksheets: 3Study Guides: 1The 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: 1Simple algebra is the term used when using expressions with letters or variables that represent numbers. Read more...iWorksheets: 3Study Guides: 1Simplifying fractions is the process of reducing fractions and putting them into their lowest terms. Read more...iWorksheets: 3Study Guides: 1Tables refer to the different types of diagram used to display data.

There are many types of tables such as data table, frequency table, line chart and stern-and-leaf plot. Read more...iWorksheets: 3Study Guides: 1Volume measures the amount a solid figure can hold. Read more...iWorksheets: 3Study Guides: 1The 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: 3Study Guides: 1### VA.NNS.6. Number and Number Sense

#### 6.1. The student will represent relationships between quantities using ratios, and will use appropriate notations, such as a/b, a to b, and a:b.

Equivalent fractions represent the same ratio between two values. Read more...iWorksheets :3Study Guides :1Ratios are used to make a comparison between two things. Read more...iWorksheets :7Study Guides :1Vocabulary :1A 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 :1A 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 :1Worksheets :4Study Guides :1 #### 6.2. The student will

##### 6.2.a. Represent and determine equivalencies among fractions, mixed numbers, decimals, and percents.

Equivalent fractions represent the same ratio between two values. Read more...iWorksheets :3Study Guides :1Any fraction can be changed into a decimal and any decimal can be changed into a fraction. Read more...iWorksheets :3Study Guides :1A percentage is a number or ratio expressed as a fraction of 100. Read more...iWorksheets :6Study Guides :1Vocabulary :1Equivalent fractions are fractions that have
EQUAL value. Read more...iWorksheets :3Study Guides :1Vocabulary :1How to convert fractions to decimals: Divide the denominator (the bottom part) into the numerator (the top part). Read more...iWorksheets :3Study Guides :1The 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 :1What 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 :1A rational number is a number that can be made into a fraction.
Decimals that repeat or terminate are rational because they can be
changed into fractions. Read more...iWorksheets :3Study Guides :1Worksheets :4Study Guides :1 ##### 6.2.b. Compare and order positive rational numbers.

Any fraction can be changed into a decimal and any decimal can be changed into a fraction. Read more...iWorksheets :3Study Guides :1When putting decimals in order from least to greatest, we must look at
the highest place value first. Read more...iWorksheets :6Study Guides :1Vocabulary :1When comparing two fractions that have a common denominator, you can looks at the numerators to decide which fraction is greater Read more...iWorksheets :3Study Guides :1Vocabulary :1The 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 :1A fraction consists of two numbers separated by a line. Read more...iWorksheets :3Study Guides :1How to convert fractions to decimals: Divide the denominator (the bottom part) into the numerator (the top part). Read more...iWorksheets :3Study Guides :1Compare fractions and decimals using <, >, or =. Read more...iWorksheets :3Study Guides :1Worksheets :4Study Guides :1 #### 6.3. The student will

##### 6.3.a. Identify and represent integers.

Positive integers are all the whole numbers greater than zero. Negative integers are all the opposites of these whole numbers, numbers that are less than zero. Zero is considered neither positive nor negative Read more...iWorksheets :4Study Guides :1Worksheets :4Study Guides :1Worksheets :3Study Guides :1 ##### 6.3.b. Compare and order integers.

Positive integers are all the whole numbers greater than zero. Negative integers are all the opposites of these whole numbers, numbers that are less than zero. Zero is considered neither positive nor negative Read more...iWorksheets :4Study Guides :1 ### VA.CE.6. Computation and Estimation

#### 6.5. The student will

##### 6.5.a. Multiply and divide fractions and mixed numbers.

A mixed number has both a whole number and a fraction. Read more...iWorksheets :4Study Guides :1To 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 :1Multiplying fractions is the operation of multiplying two or more
fractions together to find a product. Read more...iWorksheets :3Study Guides :1Worksheets :3Study Guides :1 #### 6.6. The student will

##### 6.6.a. Add, subtract, multiply, and divide integers.

Worksheets :4Study Guides :1 ##### 6.6.d. Simplify numerical expressions involving integers.

A numerical expression is a phrase which represents a number. Read more...iWorksheets :7Study Guides :1Rules of Order of Operations: 1st: Compute all operations inside of parentheses. 2nd: Compute all work with exponents. 3rd: Compute all multiplication and division from left to right. 4th: Compute all addition and subtraction from left to right. Read more...iWorksheets :3Study Guides :1Worksheets :4Study Guides :1 ### VA.MG.6. Measurement and Geometry

#### 6.7. The student will

##### 6.7.a. Derive π (pi).

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 :1An area is the amount of surface a shape covers.

An area is measured in inches, feet, meters or centimeters. Read more...iWorksheets :3Study Guides :1FreeThe 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 :4Study Guides :1Worksheets :3Study Guides :1Worksheets :4Study Guides :1 ##### 6.7.b. Solve problems, including practical problems, involving circumference and area of a circle.

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 :1An area is the amount of surface a shape covers.

An area is measured in inches, feet, meters or centimeters. Read more...iWorksheets :3Study Guides :1The formulas contain places for inputting numbers. Evaluating a formula requires inputting the correct data and performing the operations. Read more...iWorksheets :3Study Guides :1FreeThe 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 :4Study Guides :1Worksheets :3Study Guides :1Worksheets :4Study Guides :1 #### 6.8. The student will

##### 6.8.a. Identify the components of the coordinate plane.

You use plot points to place a point on a coordinate plane by using X and Y coordinates to draw on a coordinate grid. Read more...iWorksheets :3Study Guides :1Vocabulary :1The use of coordinates pertains to graphing and the quadrants that are formed by the x and y-axis. Read more...iWorksheets :3Study Guides :1In 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 :1Calculate 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 ##### 6.8.b. Identify the coordinates of a point and graph ordered pairs in a coordinate plane.

You use plot points to place a point on a coordinate plane by using X and Y coordinates to draw on a coordinate grid. Read more...iWorksheets :3Study Guides :1Vocabulary :1The use of coordinates pertains to graphing and the quadrants that are formed by the x and y-axis. Read more...iWorksheets :3Study Guides :1In 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 :1Using tables and graphs is a way people can interpret data. Data means information. So interpreting data just means working out what information is telling you. Information is sometimes shown in tables, charts and graphs to make the information easier to read. Read more...iWorksheets :3Study Guides :1Calculate 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 #### 6.9. The student will determine congruence of segments, angles, and polygons.

Figures are congruent if they are identical in every way except for their
position. Read more...iWorksheets :3Study Guides :1Plane figures in regards to lines and angles refer to the coordinate plane and the various lines and angles within the coordinate plane. Lines in a coordinate plane can be parallel or perpendicular. Read more...iWorksheets :3Study Guides :1Worksheets :3Study Guides :1 ### VA.PS.6. Probability and Statistics

#### 6.10. The student, given a practical situation, will

##### 6.10.a. Represent data in a circle graph.

Collecting Data. Data = information. You can collect data from other people using polls and surveys. Recording Data. You can record the numerical data you collected on a chart or graph: bar graphs, pictographs, line graphs, pie charts, column charts. Read more...iWorksheets :4Study Guides :1 ##### 6.10.b. Make observations and inferences about data represented in a circle graph.

A graph is a diagram that shows information in an organized way. Read more...iWorksheets :6Study Guides :1Collecting Data. Data = information. You can collect data from other people using polls and surveys. Recording Data. You can record the numerical data you collected on a chart or graph: bar graphs, pictographs, line graphs, pie charts, column charts. Read more...iWorksheets :4Study Guides :1Plane figures in regards to lines and angles refer to the coordinate plane and the various lines and angles within the coordinate plane. Lines in a coordinate plane can be parallel or perpendicular. Read more...iWorksheets :3Study Guides :1Worksheets :3Study Guides :1 #### 6.11. The student will

##### 6.11.a. Represent the mean of a data set graphically as the balance point.

A statistic is a collection of numbers related to a specific topic. Read more...iWorksheets :6Study Guides :1The statistical mode is the number that occurs most frequently in a set of
numbers. Read more...iWorksheets :3Study Guides :1Collecting Data. Data = information. You can collect data from other people using polls and surveys. Recording Data. You can record the numerical data you collected on a chart or graph: bar graphs, pictographs, line graphs, pie charts, column charts. Read more...iWorksheets :4Study Guides :1Worksheets :3Study Guides :1 ### VA.PFA.6. Patterns, Functions, and Algebra

#### 6.12. The student will

##### 6.12.a. Represent a proportional relationship between two quantities, including those arising from practical situations.

Equivalent fractions represent the same ratio between two values. Read more...iWorksheets :3Study Guides :1Ratios are used to make a comparison between two things. Read more...iWorksheets :7Study Guides :1Vocabulary :1A 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 :1A 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 :1Worksheets :4Study Guides :1 ##### 6.12.b. Determine the unit rate of a proportional relationship and use it to find a missing value in a ratio table.

Worksheets :4Study Guides :1 ##### 6.12.c. Determine whether a proportional relationship exists between two quantities.

Equivalent fractions represent the same ratio between two values. Read more...iWorksheets :3Study Guides :1Ratios are used to make a comparison between two things. Read more...iWorksheets :7Study Guides :1Vocabulary :1A 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 :1A 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 :1Worksheets :4Study Guides :1 ##### 6.12.d. Make connections between and among representations of a proportional relationship between two quantities using verbal descriptions, ratio tables, and graphs.

Equivalent fractions represent the same ratio between two values. Read more...iWorksheets :3Study Guides :1Ratios are used to make a comparison between two things. Read more...iWorksheets :7Study Guides :1Vocabulary :1A 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 :1A 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 :1Worksheets :4Study Guides :1 #### 6.13. The student will solve one-step linear equations in one variable, including practical problems that require the solution of a one-step linear equation in one variable.

Algebra is the study of mathematical symbols and the rules for manipulating these symbols Read more...iWorksheets :4Study Guides :1Vocabulary :1FreeWhat are algebraic equations? Algebraic equations are mathematical quations that contain a letter or variable, which represents a number. Read more...iWorksheets :6Study Guides :1Worksheets :3Study Guides :1Worksheets :5Study Guides :1 #### 6.14. The student will

##### 6.14.a. Represent a practical situation with a linear inequality in one variable.

Worksheets :5Study Guides :1FreeAlgebraic inequalities are mathematical equations that compare two quantities using these criteria: greater than, less than, less than or equal to, greater than or equal to. Read more...iWorksheets :3Study Guides :1 ##### 6.14.b. Solve one-step linear inequalities in one variable, involving addition or subtraction, and graph the solution on a number line.

Worksheets :5Study Guides :1FreeAlgebraic inequalities are mathematical equations that compare two quantities using these criteria: greater than, less than, less than or equal to, greater than or equal to. Read more...iWorksheets :3Study Guides :1 ### NewPath Learning resources are fully aligned to US Education Standards. Select a standard below to view correlations to your selected resource: