5th Grade Number & Operations Skills
Prior Standards Implementation
The standards listed below have been replaced by a newer set of standards.
Please go to Current 5th Grade Math Standards for current resources.
Number and Operations
Read and write numbers from millions to thousandths.
5.1.1
N
- Cross Numbers - [numbers up to six or nine digits] numbers are spelled out as crossword clues, fill in the digits [ advanced - up to twelve digits]
- Read and Recognize Numbers - Select format (spelling numeral or writing the digits) and select top value to give students practice in writing and reading numbers.
- Really Big Numbers - Enter a number then click the Click here button to see how to write it. Use numbers appropriate to this SPI.
Connect symbolic representations of proper and improper fractions to models of proper and improper fractions.
5.1.2
N
- Clara's Fraction Ice Cream Shop - Convert improper fractions to mixed fractions
- Get a Visual on What a Fraction is - type in a fraction into the boxes and this page will show you what your fraction means using the picture of a pie
- Identify the Gems for Each Store and Ship the Order - determine which gems are equivalent to the ones wanted by each store and then ship the order (check to see if you were right)
- Maggies Farm - keep up with how many apples are sold and how much money was made
- Old Egyptian Math Cats Fractions - Add fractions like a true Old Egyptian Math Cat!
- Shade - Shade the figure to match the equivalent fraction.
- Visual Fractions - Review on identifying, renaming, comparing, addition and subtraction. (quizzes follow lessons)
- Worksheet Generator - Reducing Fractions to Lowest Terms - You decide on the number of problems, the difficulty and whether or not to include improper fractions
Represent whole numbers and two-place decimals in expanded form.
5.1.3
N
- Count decimals using graphic shapes
- Decimal Order - Put the sequence of decimal numbers into ascending order
- Spy Guys Interactive - Decimals - Lesson 1
- There Must Be Thousands - read, write and identify numerals to the hundred thousands
- What's Your Name? - know the value of numbers when written in standard form or expanded notation
Add, subtract, multiply, and divide whole numbers (multipliers and divisors no more than two-digits).
5.1.4
C
- All in the Family - multiply and divide fact families that have the number 7
- Ambleweb Divider Machine - three levels are available
- Ambleweb Times Table Tester - practice multiplication facts on one of three levels; Easier, Harder, or Megahard .
- Animal Legs - ( 3-5) use repeated addition as a strategy to solve multiplication story problems
- Are You a Math Magician? - Two levels of practice with several operations are available; addition, subtraction, multiplication or division. Mixed practice is also available; addition and subtraction, multiplication and division, or a mix of all four. Select the level appropriate for this spi. Separate games for each operation are available; Addition game , Subtraction game , Multiplication game , and Division game
- Arithmetic Four - [ A game like Connect Four ] A pair of students must answer arithmetic questions (addition, subtraction, multiplication, division) to earn a piece to place on the board. Parameters: time limit, difficulty level, types of questions
- Adding double and triple digits - select skill level practice
- Checking Division - learn that multiplication is the inverse operation of division
- Checking Subtraction - explore the inverse relationship of addition and subtraction
- Circus Fun - add up to three digits with regrouping
- Count the Goodies - This multiplication activity from Harcourt School's Mighty Math Calculating Crew asks you to multiply using regrouping. Three problems at a time are presented.
- Dividerama - division with two-digit divisors
- Division Factory - [ click Continue to play the game ] choose easy [division by 2 or 10] or harder [division by 3, 4, or 5]
- Fact Families - learn about multiplication and division fact families
- Groups Of Dogs - ( 3-5 ) use arrays to understand the meaning of multiplication
- Long Division Teaching Aid: Double Division - Teaching Double Division can help in teaching long division by reinforcing the principles of division and giving students success with a less frustrating alternative.
- Mad Math Minutes - This is a great way to practice basic math skills in addition, subtraction, multiplication, and division. You pick the number of and types of problems that you want to practice. You may also choose the largest number used in a problem as well as the number of terms (numbers) used
- Math Mastery - select operation and practice your facts!
- Minute Math - select type and level of problems to give students practice in addition, subtraction, multiplication, or division
- Multiplication Mystery - drag the product to the correct place on a 9 x 9 grid
- Nine Pattern - explore patterns while multiplying and dividing by 9
- Number Cop - select multiples of some number ( 2-9 ), click on Start then use the left and right arrows to move the police car to intercept only multiples of that number
- On Target - recall division facts
- Space Racer (Asteroids) - to avoid asteroids you must solve multiplication problems; move left by solving the left-side problem or move right by solving the right-side problem
- Speed Grid: Addition - ( level 3 ) Students answer the question set by clicking on two numbers that complete the sentence. You set the number of questions (2 to 99) and the time limit (1 to 10)
- Speed Grid: Multiplication - Students answer the question set by clicking on two numbers that complete the sentence. You set the number of questions (2 to 99) and the time limit (1 to 10)
- Speed Grid: Subtraction - ( level 3 ) Students answer the question set by clicking on two numbers that complete the sentence. You set the number of questions (2 to 99) and the time limit (1 to 10)
- Spinning Wheels - learn multiplication facts
- Sum Sense (Addition) - Students practice single digit addition by dragging numbers to complete the sentence.
- Sum Sense (Division) - Students practice single digit division by dragging numbers to complete the sentence.
- Sum Sense (Multiplication) - Students practice single digit multiplication by dragging numbers to complete the sentence.
- Sum Sense (Subtraction) - Students practice single digit subtraction by dragging numbers to complete the sentence.
- Times Table Grid - students are asked to locate the product of two single-digit numbers
- Times Table Grid II - students are given a sample product and asked where to locate it on a 10x10 grid
Identify the place value of a given digit from millions to thousandths.
5.1.5
N
- My Place - learn that the value of a digit is determined by the placement of that digit
- Place Value Strategy - [game for one or two players] a spinner is used to select a number, players then decide where to place the number in order to make the greatest possible decimal value
- Place Value - this video lesson explains place value in whole numbers and decimal numbers, and then gives your students the chance to show understanding on a quiz. (does not go past thousands)
- Place Value - Rounding numbers and place value activities - Students can choose from easy to super hard!
- Practice place value at FreeMathTest - numbers 10 to 99 , numbers 100 to 999 , numbers 1000 to 9999
- Place Value of Decimals - What is the place value of a number in a decimal?
- There Must Be Thousands - read, write and identify numerals to the hundred thousands
Represent, compare, and order whole numbers and decimals to thousandths.
5.1.6
N
- Crack the Code - Find the missing number in a series
- Decimal and Whole Number Jeopardy - one or two player game
- Genius Boxing - box some of history's great math minds such as Einstein, Copernicus, Galileo, Bill Gates and more for universal math supremacy
- Ordering Decimal Numbers - click and drag the numbers to put them in order from least to greatest
- Ordering Decimal Numbers II - click and drag the numbers to put them in order from least to greatest
Use estimation to determine a reasonable solution to a whole number computation.
5.1.7
N
- Estimation Valley Golf - estimate the distance to the hole using number computation.
- Half Court Rounding - " Round the number at the bottom of the page. Then, click enter. If you are correct, your character will make the basket. If you are wrong, he will miss. Try to get the highest score possible in 90 seconds."
- Let's Go Shopping - estimate by rounding to the nearest dollar as they shop
- Long Division Teaching Aid: Double Division - Teaching Double Division can help in teaching long division by reinforcing the principles of division and giving students success with a less frustrating alternative.
- Round About - estimate by rounding
- Spy Guys Interactive - Rounding Numbers - Lesson 9
- That's Right - estimate measurements in real-world problems using money
- Weigh the Wangdoodles - Your job is to find the weight of each Wangdoodle using the information provided by the scales. To be successful, you will have to make sure that the weight you assign to each Wangdoodle works on each scale. This activity is a fun but challenging introduction to multiple algebraic equations.
Add, subtract, and multiply decimals.
5.1.8
C
- Addition of Decimals - explanation followed by practice
- Count the Money - You're given a target amount and the number of coins you already have. You must determine how many more coins of a certain type are needed to reach the target.
- Decimal Darts - [ game for one or two players ] an invisible number line is superimposed on a dart board, students calculate the location of a balloon and then throw a dart
- Decimal Squares Blackjack - cards containing decimals are displayed, students decide whether to ask for more cards until they get as close to 2.0 without going over
- Decimal Squares Speedway - [ game for one or two players ] the number line is in the form of a race track, students must multiply decimals and then locate the correct point on the track (number line)
- Decimal Squares Interactive Games - add, subtract and multiply decimals in a multitude of games.
- Draggable Decimals - add, subtract, multiply decimals. Personalize problems with this game, selecting number of decimals to include.
- Let's Do Lunch - use a menu to order lunches that meet various criteria
- Railroad Repair - [ decimal addition ] students must repair gaps in the railroad tracks by adding decimal lengths of track - each section gets harder
- Show Me The Money - add using columns
- Subtraction of Decimals - What is the difference between the two decimals? explanation followed by practice
Solve one- or two-step real-world problems involving addition, subtraction, and/or multiplication of whole numbers and decimals.
5.1.9
R
- Addition and Subtraction Word Problems
- Arrange a Party - use problem solving steps to find and use the range of a set of data to plan a party
- Cameron's Trip - multiply and divide to solve real-world problems
- Decimal Darts - [ game for one or two players ] an invisible number line is superimposed on a dart board, students calculate the location of a balloon and then throw a dart
- Decimal Squares Blackjack - cards containing decimals are displayed, students decide whether to ask for more cards until they get as close to 2.0 without going over
- Groups Of Dogs - ( 3-5 ) use arrays to understand the meaning of multiplication
- Let's Do Lunch - use a menu to order lunches that meet various criteria
- Let's Go Shopping - estimate by rounding to the nearest dollar as they shop
- Making Arrays - using arrays to practice understanding of multiplication
- Making Change at the Math Playground - calculate change back on a purchase then click and drag the change to the counter using the smallest number of bills or coins
- Math at the Mall - practice percentages and finding the best deal while shopping at a virtual mall
- Show Me The Money - add using columns
- Shopping at Troy's Toys - percent shopping
- Spy Guys Interactive - Problem Solving Bank - Lesson 20 . fifteen problems to solve, with suggested strategies given
- Word Problem Generator - Select the operation and the number of problems. Self checking.
- Word Problems for Kids - Pick your grade level and start solving problems!
- Word Problems for Grades 1 - 5 - This KidZone math page has four fifth grade problems. Each time you open a new page the site generates new values for the problem.
- Word Problem Practice - Problems in addition, subtraction and more ( Warning: many pop-up ads on this site) ( grades 1-5 )
Represent numbers as both improper fractions and mixed numbers.
5.1.10
N
- Fraction Bars - interactive site; can program it to fit your needs.
- Mixed Numbers - identify and define mixed number parts [somewhat elementary, but reinforces the concept clearly]
- Spy Guys Interactive - Improper Fractions & Mixed Numbers - Lesson 2
- Tony's Fraction Pizza Shop - great interactive game on fractions
Compare and order fractions using the appropriate symbol (<, >, and =).
5.1.11
N
- Alligator Lunch - ( 3-5 ) learn greater than and less than symbols
- Comparing Fractions Factsheets - seven factsheets are available
- Comparing Fractions Game - three levels are available
- Comparing Fractions Games - two games; Dolphin Racing, and Ordering Game
- Comparing Fractions Quiz - three levels are available
- Comparing Fractions Worksheets - four worksheets available
- Comparing Numbers Quiz - three levels available
- Comparing Numbers Worksheet - three sheets to print
- Comparing Values - Create your own math facts worksheets for comparing values. Problems can include calculations using positive and negative numbers, and two-digit decimal values.
- Fraction Generator - generate your own online interactive worksheet comparing fractions
- Fraction Sorter - interactive site posted by Shodor
- Organize the Wrenches - wrenches of various sizes must be placed in order from smallest to largest
- Put Numbers in Order Game - three levels are available sort 4, 6 or 8 numbers
- Simple Fractions - An instructional site that reviews terms, factoring, reducing, addition and subtraction of fractions
Add and subtract commonly used fractions.
5.1.12
C
- Adding Fractions - Find a common denominator and add the fractions.
- EZ Fractions - Add, Subtract, Multiply and Divide fractions - Help tools are on the site to give students every tool necessary for performing operations with fractions as easy as it has ever been!
- Fraction Generator - Generate your own online interactive worksheet with your own specifications!
- Fraction Worksheet Generator - create random fraction worksheets for practice
- Maggies Farm - keep up with how many apples are sold and how much money was made
- Old Egyptian Math Cats Fractions - Add fractions like a true Old Egyptian Math Cat!
Generate equivalent forms of commonly used fractions, decimals, and percents (e.g., 1/10, 1/4, 1/2, .75, 50%).
5.1.13
N
- Adding Fractions - with the same denominator [instruction followed by practice]
- Adding Fractions - using circle graphs - Mixed numbers
- Adding Fractions - mixed denominators
- Death To Decimals - Click up at the top for detailed instructions for how to play. Match fractions with decimal form of the number.
- Decifractator - convert fractions to decimal equivalents
- Equivalent Fractions - find the fraction that is equivalent to the fraction given
- Equivalent Fractions and Decimals - decide which answer will balance the scale
- Finding a percent of a quantity - online quiz
- Fractions, Decimals or Percent - two are given, you supply the third
- Fraction Practice - All operations, mixed practice - (explanations given for wrong answers)
- Fraction Worksheet Generator - Create random fraction worksheets for practice.
- Maggies Farm - keep up with how many apples are sold and how much money was made
- Match Fractions and Decimals - this quiz is in the form of a concentration game
- Percent Problems - a one-player, or two-player game from Quia
- Percents and Ratios - an index of pages that teach percent and ratio skills covered in K8 math courses - Each page has an explanation, interactive practice and challenge games about percents and ratios. (from AAA math)
- Percents and Wholes - online quiz
- Percent with a Calculator - after the lesson there are problems to work (don't run your mouse over the colored blocks until you have an answer in mind)
- Practice Solving Percent Problems - more percent practice
- Rename Fractions in Lowest Terms - practice in renaming fractions
- Shopping at Troy's Toys - percent shopping
- Solving Percent Problems Using a Pyramid Grid - an interactive lesson
- Spy Guys Interactive - Decimals - Lesson 1
- Spy Guys Interactive - Solving Problems with Decimals - Lesson 5
- Spy Guys Interactive - Percent - Lesson 4
- Subtracting Fractions - with same denominator (explanation followed by practice)
- Tony's Pizza - create a pizza with toppings equivalent to the fractions
- Using the Proportion Method to Solve Percent Problems - practice problems at the end
Multiply a fraction by a multiple of its denominator (denominator less than or equal to 10).
5.1.14
N
- Divide fractions - (using circles) this will show graphically how the divisor will fit into the dividend a whole number of times
- Dividing fractions - Fraction Bar -This is a very versatile tool that can be used to illustrate a variety of number operations.
- Fraction Worksheet Generator - create random fraction worksheets for practice
- Fractional Distances - find Grampy by entering a fractional distance - (includes mixed numbers and various fractions)
- Multiply fractions - with circles,mixed number times a whole number
- Multiplying and Dividing with Fractions - online quiz
- Multiplying Fractions - Soccer Shootout - (Funbrain activity)
- Multiplying Rational Fractions - online quiz - (answers provided)
- Word problems - online quiz adding and subtracting fractions
National Library of Virtual Manipulatives
Number & Operations (Grades 3-5)
Review Help
Practice Tests!
- Brainchild - twenty-four questions, followed by practice on any incorrect responses
- Houghton Mifflin Mathematics Test Prep Practice
- Virginia State Standards of Learning - Select Math 5 , and then select 10, 20, or 40 questions.
Released Test & Others
- FCAT Sample Test Book - [ 2008 ] sample questions and test taking tips
- FCAT Sample Answer Book - [ 2008 ] sample questions and test taking tips
- Fifth Grade Math - Read each question and choose the best answer. Then mark the circle next to the letter for the answer you have chosen. ( from Texas )
- Texas end-of-year Math test 2003
- Texas end-of-year Math test 2004
Daily Questions
- Daily Questions - to serve as a ten to fifteen minute (approximate) review of practice test items and critical thinking (239 pages) [ Note : This link is available through the Wayback Machine Internet Archive. Some state filters block access to this page so you might consider downloading the document at home.]
TAAS Attack Daily Upkeeps
- Daily Upkeeps - Scroll down this page until you see " 5th Grade TAAS Attack Daily Upkeeps ." There are 8 practice activities to print (in .pdf format)
General Total Math Review
- Math Olympics - Answer 20 multiple choice questions correctly to win the Math Olympics. Topics range from basic computation and general math knowledge to word problems with percentages, ratios, and fractions. Math Olympics provides excellent test prep practice for students in grades 4+.
- Math TV: Video Word Problems - [ Grades 5+ ] Math TV is a project whose goal is to help middle school students learn how to solve challenging word problems. Each of the nineteen math problems comes with step by step video solution, follow up problems, an online calculator, and sketch pad.
- McMillan/McGraw-Hill - Online activities for 5th graders - whole numbers, graphs, fractions, measurements and more
- Money Review - Start on level two or three for counting money review
- Solve It! - Math Videos provide problem solving practice for students in grades 3 to 6. Each of the thirteen sets contain five multi step word problems with step by step video solutions. Concepts include basic operations, algebraic reasoning, money, fractions, percent, perimeter, area, proportional reasoning, and measurement.
- ThatQuiz is a math testing web site developed by Andrew Lyczak, a graduate student at the University of New Hampshire. The site offers free testing, grading and record keeping for teachers, with practice tests for students. This is a completely free, non-profit educational site.
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