## Texas Essential Knowledge and Skills (TEKS) for Fifth Grade Math

##### Angles
A right angle is an angle that measures 90°. A straight angle is an angle that measures 180°. An obtuse angle is an angle that measures more than 90°. An acute angle is an angle that measures less than 90°. Read more...iWorksheets: 10Study Guides: 1
##### Common Factors
Factors are two numbers multiplied together to get a product (an answer to a multiplication problem) Read more...iWorksheets: 3Study Guides: 1Vocabulary Sets: 1
##### Compare and Order Fractions
When 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 Sets: 1
##### Compare and Order Numbers
Comparing two numbers and deciding which one is greater Read more...iWorksheets: 3Study Guides: 1
##### Congruent Shapes
Figures are congruent if they are identical in every way except for their position. Read more...iWorksheets: 3Study Guides: 1
##### Data Analysis
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
##### Elapsed Time
Elapsed time is the amount of time that has passed between two defined times. Read more...iWorksheets: 4Study Guides: 1
##### Equivalent Fractions
Equivalent fractions are fractions that have EQUAL value. Read more...iWorksheets: 3Study Guides: 1Vocabulary Sets: 1
##### Exponential & Scientific Notation
Exponential notation is shorten way of expressing a large number using exponents. Read more...iWorksheets: 6Study Guides: 1Vocabulary Sets: 1
##### Ordering Fractions
A fraction consists of two numbers separated by a line - numerator and denominator. To order fractions with like numerators, look at the denominators and compare them two at a time. The fraction with the smaller denominator is the larger fraction. Read more...iWorksheets: 3Study Guides: 1
##### Patterns
Patterns in shapes and numbers. Read more...iWorksheets: 3Study Guides: 1
##### Percents
A percentage is a number or ratio expressed as a fraction of 100. Read more...iWorksheets: 6Study Guides: 1Vocabulary Sets: 1
##### Place Value
Place value is the numerical value that a digit has by virtue of its position in a number. Read more...iWorksheets: 6Study Guides: 1
##### Positive & Negative 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
##### Probability
FreeProbability word problems worksheet. Probability is the measure of how likely an event is. Probability = (Total ways a specific outcome will happen) / (Total number of possible outcomes). The probability of event A is the number of ways event A can occur divided by the total number of possible outcomes. Read more...iWorksheets: 4Study Guides: 1
##### Ratio
Ratios are used to make a comparison between two things. Read more...iWorksheets: 7Study Guides: 1Vocabulary Sets: 1
##### Simplify Fractions
Simplifying fractions means to make the fraction as simple as possible. Read more...iWorksheets: 3Study Guides: 1Vocabulary Sets: 1
##### Statistics
The statistical mode is the number that occurs most frequently in a set of numbers. Read more...iWorksheets: 3Study Guides: 1
##### Whole Numbers to Millions
A whole number is a number without fractions. Read more...iWorksheets: 3Study Guides: 1Vocabulary Sets: 1

#### 5.2. Number and operations. The student applies mathematical process standards to represent, compare, and order positive rational numbers and understand relationships as related to place value. The student is expected to:

##### 5.2 (A) Represent the value of the digit in decimals through the thousandths using expanded notation and numerals.
You add/subtract/multiply/divide decimals the same way you add/subtract/multiply/divide whole numbers BUT you also need to place the decimal in the correct spot. When multiplying decimals, the decimals may or may NOT be lined up in the multiplication problem. Read more...iWorksheets :10Study Guides :1Vocabulary :1
##### 5.2 (B) Compare and order two decimals to thousandths and represent comparisons using the symbols >, <, or =.
###### Fractions/Decimals
Any fraction can be changed into a decimal and any decimal can be changed into a fraction. Read more...iWorksheets :3Study Guides :1
###### Ordering Decimals
When putting decimals in order from least to greatest, we must look at the highest place value first. Read more...iWorksheets :6Study Guides :1Vocabulary :1
###### Fractions/Decimals
How to convert fractions to decimals: Divide the denominator (the bottom part) into the numerator (the top part). Read more...iWorksheets :3Study Guides :1
###### Less Than, Greater Than
Compare fractions and decimals using <, >, or =. Read more...iWorksheets :3Study Guides :1
##### 5.2 (C) Round decimals to tenths or hundredths.
###### Rounding
Rounding makes numbers that are easier to work with in your head. Rounded numbers are only approximate. Use rounding to get an answer that is close but that does not have to be exact. Read more...iWorksheets :3Study Guides :1

#### 5.3. Number and operations. The student applies mathematical process standards to develop and use strategies and methods for positive rational number computations in order to solve problems with efficiency and accuracy. The student is expected to:

##### 5.3 (A) Estimate to determine solutions to mathematical and real-world problems involving addition, subtraction, multiplication, or division.
###### Estimation
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
###### Estimation
Estimation is an approximate calculation. Read more...iWorksheets :3Study Guides :1
###### Estimation
To estimate means to make an educated guess based on what you already know. Read more...iWorksheets :3Study Guides :1
##### 5.3 (B) Multiply with fluency a three-digit number by a two-digit number using the standard algorithm.
###### Multiplication
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
###### Multiplication
Multiplication is one of the four elementary, mathematical operations of arithmetic. Read more...iWorksheets :6Study Guides :1Vocabulary :1
###### Distributive Property
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
###### Commutative/Associative Properties
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
###### Odd/Even
A number can be identified as odd or even. Odd numbers can't be divided exactly by 2. Read more...iWorksheets :3Study Guides :1
###### Division
Divide three-digit numbers by one- and two-digit numbers. Read more...iWorksheets :6Study Guides :1Vocabulary :1
###### Commutative/Associative Properties
Using the Commutative Property in addition means that the order of addends does not matter; the sum will remain the same. Read more...iWorksheets :3Study Guides :1
###### More Multiplication
Multiplication of two digits by two digits. What Is Multiplication? Multiplication is a short way of adding or counting. Multiplication is a faster way of adding. By multiplying numbers together, you are adding a series of one number to itself. Read more...iWorksheets :3Study Guides :1
###### Division/Multiplication
Understanding of models for multiplication, place value, and properties of operations (in particular, the distributive property). Read more...iWorksheets :6Study Guides :1
##### 5.3 (C) Solve with proficiency for quotients of up to a four-digit dividend by a two-digit divisor using strategies and the standard algorithm.
###### Division
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
###### Division
Divide three-digit numbers by one- and two-digit numbers. Read more...iWorksheets :6Study Guides :1Vocabulary :1
##### 5.3 (D) Represent multiplication of decimals with products to the hundredths using objects and pictorial models, including area models.
You add/subtract/multiply/divide decimals the same way you add/subtract/multiply/divide whole numbers BUT you also need to place the decimal in the correct spot. When multiplying decimals, the decimals may or may NOT be lined up in the multiplication problem. Read more...iWorksheets :10Study Guides :1Vocabulary :1
##### 5.3 (E) Solve for products of decimals to the hundredths, including situations involving money, using strategies based on place-value understandings, properties of operations, and the relationship to the multiplication of whole numbers.
You add/subtract/multiply/divide decimals the same way you add/subtract/multiply/divide whole numbers BUT you also need to place the decimal in the correct spot. When multiplying decimals, the decimals may or may NOT be lined up in the multiplication problem. Read more...iWorksheets :10Study Guides :1Vocabulary :1
##### 5.3 (F) Represent quotients of decimals to the hundredths, up to four-digit dividends and two-digit whole number divisors, using objects and pictorial models, including area models.
You add/subtract/multiply/divide decimals the same way you add/subtract/multiply/divide whole numbers BUT you also need to place the decimal in the correct spot. When multiplying decimals, the decimals may or may NOT be lined up in the multiplication problem. Read more...iWorksheets :10Study Guides :1Vocabulary :1
##### 5.3 (G) Solve for quotients of decimals to the hundredths
You add/subtract/multiply/divide decimals the same way you add/subtract/multiply/divide whole numbers BUT you also need to place the decimal in the correct spot. When multiplying decimals, the decimals may or may NOT be lined up in the multiplication problem. Read more...iWorksheets :10Study Guides :1Vocabulary :1
##### 5.3 (H) Represent and solve addition and subtraction of fractions with unequal denominators referring to the same whole using objects and pictorial models and properties of operations.
Adding or substracting fractions means to add or subtract the numerators and write the sum over the common denominator. Read more...iWorksheets :7Study Guides :1
Adding fractions is the operation of adding two or more different fractions. Read more...iWorksheets :3Study Guides :1
##### 5.3 (K) Add and subtract positive rational numbers fluently.
Addition and subtraction of decimals is like adding and subtracting whole numbers. The only thing we must remember is to line up the place values correctly. Read more...iWorksheets :14Study Guides :1Vocabulary :1
Freeis one of the four basic operations of arithmetic, with the others being subtraction, multiplication and division. The addition of two whole numbers is the total amount of those quantities combined. Read more...iWorksheets :3Study Guides :1
Adding or substracting fractions means to add or subtract the numerators and write the sum over the common denominator. Read more...iWorksheets :7Study Guides :1
Adding fractions is the operation of adding two or more different fractions. Read more...iWorksheets :3Study Guides :1
###### Subtracting Fractions
Fractions consist of two numbers. The top number is called the numerator. The bottom number is called the denominator. First, make sure the denominators are the same, then subtract the numerators. Read more...iWorksheets :3Study Guides :1
###### Number Line
A number line is a line that shows any group of numbers in their least to greatest value. Read more...iWorksheets :3Study Guides :1
You add/subtract/multiply/divide decimals the same way you add/subtract/multiply/divide whole numbers BUT you also need to place the decimal in the correct spot. When multiplying decimals, the decimals may or may NOT be lined up in the multiplication problem. Read more...iWorksheets :10Study Guides :1Vocabulary :1
What Is Addition and Subtraction of Fractions? Addition is combining two or more fractions. The term used for addition is plus. When two or more numbers, or addends, are combined they form a new number called a sum. Subtraction is “taking away” one fraction from another fraction. The term is minus. The number left after subtracting is called a difference. Read more...iWorksheets :4Study Guides :1
Fractions consist of two numbers. The top number is called the numerator. The bottom number is called the denominator. To add two fractions with the same denominator: Add the numerators and place the sum over the common denominator. Read more...iWorksheets :3Study Guides :1

#### 5.4. Algebraic reasoning. The student applies mathematical process standards to develop concepts of expressions and equations. The student is expected to:

##### 5.4 (B) Represent and solve multi-step problems involving the four operations with whole numbers using equations with a letter standing for the unknown quantity.
###### Algebra
Algebra is the study of mathematical symbols and the rules for manipulating these symbols Read more...iWorksheets :4Study Guides :1Vocabulary :1
###### One & Two Step Equations
An algebraic equation is an expression in which a letter represents an unknown number Read more...iWorksheets :3Study Guides :1
###### Simple Algebra
Simple algebra is the term used when using expressions with letters or variables that represent numbers. Read more...iWorksheets :3Study Guides :1
###### Algebraic 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
##### 5.4 (E) Describe the meaning of parentheses and brackets in a numeric expression.
###### Order of Operations
A numerical expression is a phrase which represents a number. Read more...iWorksheets :7Study Guides :1
###### Order of Operations
Rules 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 :1
##### 5.4 (F) Simplify numerical expressions that do not involve exponents, including up to two levels of grouping.
###### Order of Operations
A numerical expression is a phrase which represents a number. Read more...iWorksheets :7Study Guides :1
###### Order of Operations
Rules 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 :1
##### 5.4 (H) Represent and solve problems related to perimeter and/or area and related to volume.
###### Perimeter
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
###### Volume
Volume measures the amount a solid figure can hold. Read more...iWorksheets :3Study Guides :1
###### Diameter of 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 :1
###### Area
An area is the amount of surface a shape covers.
An area is measured in inches, feet, meters or centimeters. Read more...
iWorksheets :3Study Guides :1
###### Perimeter
A polygon is any 2-dimensional shape formed with straight lines. The perimeter of a polygon is the sum of all its length. Read more...iWorksheets :6Study Guides :1
###### Area of Triangles and Quadrilaterals
The area is the surface or space within an enclosed region. Area is expressed in square units. Read more...iWorksheets :3Study Guides :1Vocabulary :2
###### Volume and Capacity
What is volume? Volume is the 3-dimensional size of an object, such as a box. What is capacity? Capacity is the amount a 3-dimensional object can hold or carry. It can also be thought of the measure of volume of a 3-dimensional object. Read more...iWorksheets :4Study Guides :1
###### Area
Area is the number of square units needed to cover a flat surface. Read more...iWorksheets :3Study Guides :1
###### Area and Perimeter
The area of a figure is the space inside the figure. The perimeter of a polygon is the distance around it. The perimeter is the sum of the lengths of ALL the sides. Read more...iWorksheets :5Study Guides :1
###### Perimeter
Perimeter is the distance around the outside of an object. Read more...iWorksheets :3Study Guides :1Vocabulary :1
###### Area of Coordinate Polygons
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
###### Area and Circumference of Circles
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 :4Study Guides :1

#### 5.5. Geometry and measurement. The student applies mathematical process standards to classify two-dimensional figures by attributes and properties. The student is expected to classify two-dimensional figures in a hierarchy of sets and subsets using graphic organizers based on their attributes and properties.

###### Perimeter
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
###### Perimeter
A polygon is any 2-dimensional shape formed with straight lines. The perimeter of a polygon is the sum of all its length. Read more...iWorksheets :6Study Guides :1
###### Shapes
FreeA shape is the external contour or outline of someone of something Read more...iWorksheets :6Study Guides :1Vocabulary :3
###### Polygon Characteristics
A polygon is a plane figure with at least three straight sides and angles, and typically five or more. Read more...iWorksheets :7Study Guides :1Vocabulary :1
###### Area
Area is the number of square units needed to cover a flat surface. Read more...iWorksheets :3Study Guides :1

#### 5.6. Geometry and measurement. The student applies mathematical process standards to understand, recognize, and quantify volume. The student is expected to:

##### 5.6 (A) Recognize a cube with side length of one unit as a unit cube having one cubic unit of volume and the volume of a three-dimensional figure as the number of unit cubes (n cubic units)
###### Volume
Volume measures the amount a solid figure can hold. Read more...iWorksheets :3Study Guides :1
###### Volume and Capacity
What is volume? Volume is the 3-dimensional size of an object, such as a box. What is capacity? Capacity is the amount a 3-dimensional object can hold or carry. It can also be thought of the measure of volume of a 3-dimensional object. Read more...iWorksheets :4Study Guides :1
##### 5.6 (B) Determine the volume of a rectangular prism with whole number side lengths in problems related to the number of layers times the number of unit cubes in the area of the base.
###### Volume
Volume measures the amount a solid figure can hold. Read more...iWorksheets :3Study Guides :1

#### 5.7. Geometry and measurement. The student applies mathematical process standards to select appropriate units, strategies, and tools to solve problems involving measurement. The student is expected to solve problems by calculating conversions within a measurement system, customary or metric.

###### Measurement
Measurement is the assignment of a number to a characteristic of an object or event, which can be compared with other objects or events. Read more...iWorksheets :6Study Guides :1Vocabulary :2
###### Measurement
FreeThere are two system of measurement for length that can be used. U.S customary System and Metric System. U.S. Customary System & Metric system. Read more...iWorksheets :7Study Guides :1Vocabulary :3
###### Measurement
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
###### Units of Measure
When you need to measure an object, you must decide if you are: Measuring in length, weight, or capacity, choosing the unit that makes sense to measure the object, Measuring in the customary system or the metric system. Read more...iWorksheets :3Study Guides :1

#### 5.8. Geometry and measurement. The student applies mathematical process standards to identify locations on a coordinate plane. The student is expected to:

##### 5.8 (A) Describe the key attributes of the coordinate plane, including perpendicular number lines (axes) where the intersection (origin) of the two lines coincides with zero on each number line and the given point (0, 0); the x-coordinate, the first number in an ordered pair, indicates movement parallel to the x-axis starting at the origin; and the y-coordinate, the second number, indicates movement parallel to the y-axis starting at the origin.
###### Plot Points
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 :1
###### Coordinates
The use of coordinates pertains to graphing and the quadrants that are formed by the x and y-axis. Read more...iWorksheets :3Study Guides :1
###### Plotting Points
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
###### Coordinates
You can use a pair of numbers to describe the location of a point on a grid. The numbers in the pair are called coordinates. Read more...iWorksheets :3Study Guides :1
###### Graphs and Tables
Using 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 :1
###### Area of Coordinate Polygons
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
##### 5.8 (B) Describe the process for graphing ordered pairs of numbers in the first quadrant of the coordinate plane.
###### Plot Points
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 :1
###### Coordinates
The use of coordinates pertains to graphing and the quadrants that are formed by the x and y-axis. Read more...iWorksheets :3Study Guides :1
###### Plotting Points
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
###### Coordinates
You can use a pair of numbers to describe the location of a point on a grid. The numbers in the pair are called coordinates. Read more...iWorksheets :3Study Guides :1
###### Graphs and Tables
Using 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 :1
###### Area of Coordinate Polygons
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
##### 5.8 (C) Graph in the first quadrant of the coordinate plane ordered pairs of numbers arising from mathematical and real-world problems, including those generated by number patterns or found in an input-output table.
###### Plot Points
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 :1
###### Coordinates
The use of coordinates pertains to graphing and the quadrants that are formed by the x and y-axis. Read more...iWorksheets :3Study Guides :1
###### Plotting Points
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
###### Coordinates
You can use a pair of numbers to describe the location of a point on a grid. The numbers in the pair are called coordinates. Read more...iWorksheets :3Study Guides :1
###### Area of Coordinate Polygons
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

#### 5.9. Data analysis. The student applies mathematical process standards to solve problems by collecting, organizing, displaying, and interpreting data. The student is expected to:

##### 5.9 (C) Solve one- and two-step problems using data from a frequency table, dot plot, bar graph, stem-and-leaf plot, or scatterplot.
###### Tables
Tables 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 :1
###### Represent Data
You can represent data by bar graphs, pictographs and tables. Read more...iWorksheets :3Study Guides :1
###### Graphs
A graph is a diagram that shows information in an organized way. Read more...iWorksheets :6Study Guides :1
###### Graphs and Tables
Using 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 :1
###### Tables and Graphs
What Are Bar, Circle, and Line Graphs? Bar Graphs are used to compare data. A bar graph is used to show relationships between groups. Circle Graphs are also known as Pie graphs or charts. They consist of a circle divided into parts. Line Graphs show gradual changes in data. Read more...iWorksheets :6Study Guides :1