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4th Grade Math Standards - 2009-2010 Implementation

Mathematical Processes | Number & Operations | Algebra | Geometry & Measurement | Data Analysis, Statistics, and Probability | Review Help
Links verified 9/25/2009
Return to Grade Level Skills
Worksheet Generator - This web site will allow you to create printable math worksheets from your browser.
(addition, subtraction, multiplication, division, mixed problems, fractions, measurement, fractions, graphing, telling time, and a one-hundred chart)
Math Teachers' Toolkit - Compilation of Flash resources to help students understand concepts.
Resources for Prior Standards |
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Accuracy - Understand the relationship between use of answers and the accuracy of the number.
0406.1.1
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- Accuracy of a Number - from Wolfram MathWorld
- Precision of a Number - from Wolfram MathWorld
- Rules for Significant Figures and Decimal Places - from Ask Dr. Math
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Appropriate Estimate - Identify the range of appropriate estimates, including over-estimate and under-estimate.
0406.1.2 |
- Comparison Estimator - Similar to Estimator but compares two sets of objects.

- Estimate - (use as a whole class activity) Select a range, display tick marks and estimate before revealing the answer.
- Estimation Valley Golf - Estimate answers to problems and putt your way into a championship!

- Estimator - Practice estimation skills by determining the number of objects, length, or area. (parameters: error tolerance)

- Guess the Number - developing skills in halving and estimation

- Home Run Derby Math - you don't have time to add, just estimate the correct answer [addition, subtraction, or multiplication]
- Let's Go Shopping - estimate by rounding to the nearest dollar as they shop

- More or Less Estimator - Similar to Estimator activity but states a quantity and asks the user to estimate whether the set of objects is more or less than the number given.
- Round About - estimate by rounding

- 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.
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Estimate Money - Connect operations with decimals to money and make estimates.
0406.1.3 |
- Lunch Lady - The Lunch Lady (you) must total the three items on ten lunch trays (one at a time) in three minutes. [a money counting game from Mr. Nussbaum]
- Million Dollar Mission - a mathematics fantasy
- Scottie Nickel's Change Maker - become a human CoinStar machine - Calculate the total amount of change the customer has. Next, think of a way to make $1.75 with as few coins as possible.

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Properties of Numbers - Use commutative, associative, and distributive properties of numbers including oral descriptions of mathematical reasoning.
0406.1.4 |
- Area Models for Multiplication and Division - an Annenberg lesson plan from their Learning Math series

- Basic Number Properties: Associative, Commutative, and Distributive - explanation from Purple Math
- Commutative Property - addition and multiplication properties are explained using an animated image
Commutative & Associative Properties - this PowerPoint show includes a ten question quiz with answers 
- Commutativity - the ability to change the order of something without changing the end result [Wikipedia]
- Distributive Property - uses animated images to help explain the property
- Distributive Property - short animation that loops
Distributive Property - five slide PowerPoint show which uses animation very effectively
- Number Properties - from Online Math Learning
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Use the distributive property to simplify numerical and variable expressions - an eleven slide PowerPoint show which use animation effectively to teach the concept
Which Property - quiz in the form of a PowerPoint show
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Measuring Instruments - Measure using ruler, meter stick, clock, thermometer, or other scaled instruments.
0406.1.5 |
- Be a Scientist - estimate temperatures using a Celsius thermometer

- Hot Stuff - estimate temperatures using a Fahrenheit thermometer

- Interactive Applet of Thermometer - ask your students to compare the degrees between two days

- Interactive Thermometer - slide the temperature up or down and see items that match the temperature

- Interactive Thermometer - use this interactive thermometer to calculate difference in temperature

- Interactive Thermometer - an Excel worksheet that allows students to change temperature with a slider or the F9 key

- Read a Thermometer - practice problems, Celsius degrees are used

- Temperature Factsheets - five are available

- Temperature Quiz - three levels are available

- Temperature Worksheets - six worksheets, including one which is about Fahrenheit and Celsius comparison

- Thermometer - asks students to compare the temperature on two days - page instructs them on the concepts of minus quantities as the difference between two things

- Tracking Temperature - lesson plan prepared by Jan Tankey

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Attributes to Measure - Identify geometric or physical attributes that are appropriate to measure in a given situation.
0406.1.6 |
- Cooking by the Numbers - real world problems involving cooking and ratios
- Math in Daily Life - Home Decorating - using geometry in real world problems related to area
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Translate Problems - Translate the details of a contextual problem into diagrams and/or numerical expressions, and express answers using appropriate units.
0406.1.7 |
- Math in Daily Life - Playing to Win - information about real world problems involving casinos and probability
- Math in Daily Life - Savings and Credit - information about real world problems involving managing debt
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Pictorial Representations - Match the spoken, written, concrete (including base ten blocks), and pictorial representations of decimals.
0406.1.8 |
- Base 10 - build blocks to create numbers with tens and ones - reinforces tally marks, number line, base ten blocks, and allows hundred blocks

- Base 10 Blocks - virtual manipulative

- Decimals of the Caribbean - a decimal game which asks you to match decimals stated in words and numbers
- Pattern Blocks Program - use tools to solve a variety of problems

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Thinking Blocks - (an engaging, interactive math tool to help students learn how to solve multi step word problems; addition & subtraction, multiplication & division, and ratio & proportion) Thinking Blocks encourages students to look beyond the surface to discover the concepts and relationships that are at the core of every math problem. 
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Story Problem - Develop a story problem that illustrates a given multiplication or division number sentence.
0406.1.9 |
- Math stories with Leon the Chameleon - Click on the Multiplication and Division button under the heading Select a Story (select Maybe Later on the registration screen)
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Use Books - Use age-appropriate books, stories, and videos to convey ideas of mathematics.
0406.1.10 |
- Brian P. Cleary - author of books conveying math ideas - Mission of Addition, The, Action of Subtraction, The, How Long or How Wide?: A Measuring Guide
- Children's Picture Book Database at Miami University - type in math or numbers in the search box.
- Flatland: A romance of many dimensions - fifty-five pages if printed
- Literature for Learning Math Concepts - using books to teach math
- Note of Caution: the books below are not available to read online, they are given as a reading list only
- Fiction about Math - a 3 page reading list in MS Word format

- Math Month in the Library - article about books to consider
- Math Novels - use this list of novels as a reading list rather than a shopping list
- Math and Science Related Books - a reading list from Math Forum
- Mathematical Fiction - large database of titles
- Mathematics fiction books - Wikipedia index to articles about 19 books
- Mathematics in Fiction - a reading list of novels in which mathematics play a large role
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Use Properties - Verify a conclusion using the commutative, associative and distributive properties.
SPI 0406.1.1 |
- Visualizing Number Relationships - this site uses animation to help you understand the properties
- The Commutative Properties of Addition and Multiplication
- Associative Property Of Addition And Multiplication
- Distributive Property Of Multiplication Over Addition And Subtraction
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Compare Decimals - Compare decimals using concrete and pictorial representations.
SPI 0406.1.2
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- 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 Number Line - Identify and estimate decimal fractions on a number line. Move the pointer along the line, find a number between two others by looking at the next decimal place. Click on “Use the decimal number lines tool” at the bottom of the page.

- 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)
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Correct Change - Determine the correct change from a transaction.
SPI 0406.1.3 |
- Cash Out - give correct change to as many customers as you can in the time allowed

- Change It! - practice adding up all of your coins - You select the number of problems that you want to use as well as the number of pennies, nickels, dimes, quarters, and half dollars that may appear in each problem. You may elect to express your questions in words only, coins only, or a combination of both

- Change Maker - Figure out how many of each bill or coin that you expect to get back when you pay for something. Select Medium for problems involving less than $5.00
- 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.
- Let's Do Lunch - use a menu to order lunches that meet various criteria

- Lunch Lady - The Lunch Lady (you) must total the three items on ten lunch trays (one at a time) in three minutes. [adding amounts, not giving change ]
- Making Change
- Lesson on how to count change back to a customer
- Practice giving change

- Play a game making change
- Making Change - count money and make change

- 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
- Money Program - three levels; easy (ends in multiples of five), medium, and advanced (giving change back)

- School Store - subtract using decimals as they make change [regrouping required]

- Scottie Nickel's Change Maker - become a human CoinStar machine - Calculate the total amount of change the customer has. Next, think of a way to make $1.75 with as few coins as possible.

- Show Me The Money - add using columns

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Compare Objects - Compare objects with respect to a given geometric or physical attribute and select appropriate measurement instrument.
SPI 0406.1.4 |
- Compare Geometric Shapes: Figures and Polygons - select pairs of images and paste into Word or Excel to record comparisons
- Geometric Shape Flashcards - use this as a review of shapes
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Number & Operations 
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Compose and Decompose - Compose and decompose quantities according to place value.
0406.2.1
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- Expanded Form of Numbers - write the numeral the expanded form represents
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- Identifying Place Values - identify the place value of the digits
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- Finding Place Values - find the place value of a particular numeral within a number
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- My Place - Students learn that the value of a digit is determined by the placement of that digit.
- 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.

- Place Value - rounding numbers and place value activities (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 and Decimal - Quick Time movie explaining place values.
- Place Value of Decimals - What is the place value of a number in a decimal?

- Place Value - Lesson One- Quick Time movie explaining place values

- Place Value - Lesson Two- Quick Time movie explaining place values

- Place Value - Lesson Three- Quick Time movie explaining place values

- Place Value - Lesson Four- Quick Time movie explaining place values

- Place Value in Words and Numbers - type the correct numeral to represent the words
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- Place Value Party - Choose any ages to start, then trade candles until both cakes have the same number.
- 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
- Specific Place - find the numeral in a specific place value
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- 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

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Decimal Notation - Understand decimal notation as an extension of the base-ten number system.
0406.2.2 |
- Math Facts -Timed math facts, or select practice mode without the timer
- Math Mayhem - A fast paced program where you can select addition problems. Most are two digit problems.(Warning: turn sound to mute - this activity gets very loud!)
- Math Mastery - Select subtraction and practice your facts!
- Mental Math - Select an operation to practice your skills
- What number would complete this sentence? - what number would complete the equation? - instruction and review, practice, and a quiz
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- Word problems - adding and subtracting fractions

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Multiply - Multiply two- and three-digit whole numbers.
0406.2.3 |
- All in the Family - multiply and divide fact families that have the number 7

- Ambleweb Times Table Tester - practice multiplication facts on one of three levels; Easier, Harder, or Megahard.

- Animal Legs - 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. Multiplication game also available

- 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

- Checking Division - learn that multiplication is the inverse operation of division

- Check It Out - uses manipulatives to divide by 6

- 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.
- Draggable Multiplication - Keep your numbers in the correct column with this game!
- Other Draggable Operations - addition, subtraction and division also available
- Explore the Multiplication Table with Math Cats - an interactive hundreds chart

- Fact Families - learn about multiplication and division fact families

- FlashCards - timed game, practice facts, type answers

- Groups Of Dogs - use arrays to understand the meaning of multiplication

- 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
- Making Arrays - using arrays to practice understanding of multiplication
- Math Fries - Students have to eat French Fries that have math problems on them that equal a certain number displayed on top of the screen.

- Math Mastery - select operation and practice your facts

- Mathematics Problem Solving Index - choose the operation and solve the problem.
- Multiples of 2, 3, 4, & 5 - a number displayed will be a multiple of one of the answers shown
- Multiplication Hidden Picture - Identify the answer to the problem to uncover a hidden picture underneath.

- Multiplication - 1-3, 2-5, 3-8, 5-10, customize for any number range - from FreeMathTest
- Worksheets to print are also available supporting instruction of this topic
- Multiplication Mystery - drag the product to the correct place on a 9 x 9 grid

- Multiflyer - A fun way to study multiplication facts. Earphones are suggested! They will ask you to join, but it is free online. Just click, No thank you to continue.

- Multiplication Flash Card Game - a timed 30-second game

- 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
- Rabbits - recall multiplication facts using a hundreds chart

- Save the Clown fish - Help the clown fish escape the shark by answering fifteen single digit multiplication problems before missing three.
- 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: 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)
- Spinning Wheels - learn multiplication facts

- Sum Sense (Multiplication) - Students practice single digit multiplication by dragging numbers to complete the sentence.

- Tackle Math Ball - learn your math facts a fun way - This is a game in which students choose football teams and rumble down the field by identifying math facts.

- Times Table Practice
- Multiplication Generator - pick the fact family you wish to review.
- Multiplication Number Sense - Understand multiplication by using this grid.
- Quick Flash - practice times table facts here

- Time Tables Emporium - Have fun practicing your multiplication tables. Simply look at the MENU bar to the left and click on a times table you wish to practice and try and keep up with the flashcards! Excellent for a quick competition for the whole class!

- Times Table Grid - 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
- Multiplication Tables - Practice individual sets of fact by numeral

- Tools for Times Tables - Site to help students learn their facts.

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Multiply and Divide - Understand and use a reliable algorithm for multiplying multi-digit numbers and dividing numbers by a single-digit divisor accurately and efficiently.
0406.2.4 |
- Curious and Useful Math - Here you will find tricks and rules for quickly calculating certain types of math problems.
- K-12 Math Problems, Puzzles, Tips & Tricks from the Math Forum
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Division by Zero - Understand that division by zero is undefined.
0406.2.5 |
- Division by Zero - the Wikipedia entry
- Why can't you divide by 0? - several good answers to this from Math Forum
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Divide Fluently - Divide three-digit whole numbers by one-digit divisors fluently with pencil and paper.
0406.2.6 |
- Ambleweb Divider Machine - three levels are available

- On Target - recall division facts

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Identify Factors - Identify factors of whole numbers and model factors and products beyond basic multiplication facts using arrays and area models.
0406.2.7 |
- Factors Of Whole Numbers - Quiz yourself by guessing what should be in each of the black rectangles below before clicking on it to display the answer

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Equivalent Forms - Generate equivalent forms of whole numbers, decimals, and common fractions (e.g., 1/10, ¼, ½, ¾).
0406.2.8 |
- Adding Fractions - with the same denominator - instruction and review, practice, and a quiz
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- Adding Fractions - using circle graphs - (mixed numbers)

- Adding Fractions - mixed denominators

- Computation Castle - a game that requires the utilization of several math skills: mixed numbers/improper fractions, equivalent fractions, metric conversions, exponents, rounding to the nearest thousands and thousandths and place value
- Converting Fractions, Decimals, and Percents - from Fact Monster
- Count decimals using graphic shapes

- Death To Decimals - Click up at the top for detailed instructions for how to play. Match fractions with decimal form of the number.

- Defractionator - convert fractions to decimal equivalents

- Equivalent Fractions - find the fraction that is equivalent to the fraction given
- Equivalent Fractions and Decimals - [concentration style game] match fractions with their decimal equivalent
- Equivalent Fractions and Decimals - decide which answer will balance the scale
- 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 and Decimal Match - in Fishy Fractions click on Fraction and Decimal Match, then click on Begin Game. When the sign up screen comes up click Maybe Later to begin the game.
- Fraction Decimal Conversion - a Quia quiz

- Fraction Decimal Conversion - another Quia matching quiz
- Fraction Decimal Conversion - a Quia concentration style quiz

- Fractional Distances - Find Grampy by entering a fractional distance. (includes mixed numbers and various fractions)

- Fractions Converted to Percent and Decimals - an eleven question quiz from McGraw Hill Ryerson.

- Practice problems - multiple-choice quiz adding and subtracting fractions

- Percent Fraction Matching - a Quia quiz

- Practice Converting Percent to Fractions - instruction and review, practice, and a quiz
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- Rename Fractions in Lowest Terms - practice renaming fractions

- Subtracting Fractions - with same denominator - instruction and review, practice, and a quiz
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- Writing Fractions as Percent - five practice problems are at the end of the lesson

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Compare Numbers - Compare equivalent forms whole numbers, fractions, and decimals to each other and to benchmark numbers
0406.2.9 |
- Comparing Fractions Factsheets - seven different topics provided by BBC's Skillswise

- Comparing Fractions Game - three levels are available
- Another Comparing Fractions Game - two games are available

- Comparing Fractions Quiz - three levels are available
- Comparing Fractions Worksheets - four worksheets are available

- Comparing Numbers Factsheets - five different topics provided by BBC's Skillswise

- Fraction Quiz using shaded portions of objects
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Use Models - Use models to understand division as the inverse of multiplication, partitioning, and repeated subtraction.
0406.2.10 |
- Activities at Illuminations - Illuminations has 100 online activities available. Select which types of activities you’re looking for, and click Search.
- Base 10 Blocks - virtual manipulative

- Electronic Examples - index of manipulatives from NCTM [preK through grade 12 activities are available at this site]
- GeoBoard - this two-part example describes activities that use interactive geoboards

- Integer Bars - learning fractions and more with on-line manipulatives

- Math Playground - a small but growing collection of manipulatives for teaching and learning

- National Library of Virtual Manipulatives - select topic and grade level to find appropriate manipulatives
- Pattern Blocks Program - use tools to solve a variety of problems

- Tangrams - interactive geometric site

- Virtual Manipulatives - a list of various manipulatives for grades 1-6
- Wolfram Demonstrations Project - a free resource of interactive visualizations from elementary education to the frontiers of research
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Compare Fractions - Use models, benchmarks, and equivalent forms to compare fractions/decimals and locate them on the number line.
0406.2.11 |
- 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

- Decimal Number Lines - Three whiteboard resources to assist in the teaching and learning of decimals; zero to one, zero to ten, and a decimal number line.
- Decimal Order - put the sequence of decimal numbers into ascending order
- Estimate Fractional Distance - watch Grammy carefully and estimate the fractional distance that represents where she jumped over the hedge

- Flowering Fractions - understand common fractions by using model representations

- Fraction Sorter - interactive site posted by Shodor
Integers and the Number Line - forty-five slides in a show with lots of good examples and practice problems
- Tug of War Fractions - a multi player tug of war game for comparing fractions
- Who Wants Pizza? - work through ten interactive pages on pictorial representations of fractions
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Write Decimals - Understand and use decimal numbers up to hundredths and write them as fractions.
0406.2.12 |
- Computation Castle - a game that requires the utilization of several math skills: mixed numbers/improper fractions, equivalent fractions, metric conversions, exponents, rounding to the nearest thousands and thousandths and place value
- Fraction Decimal Conversion - a Quia quiz

- Fraction Decimal Conversion - another Quia matching quiz
- Fraction Decimal Conversion - a Quia concentration style quiz

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Multi-Step Problems - Solve multi-step problems of various types using whole numbers, fractions, and decimals.
0406.2.13 |
- Cameron's Trip - multiply and divide to solve real-world problems

- Computation Castle - a game that requires the utilization of several math skills: mixed numbers/improper fractions, equivalent fractions, metric conversions, exponents, rounding to the nearest thousands and thousandths and place value
- Groups Of Dogs - use arrays to understand the meaning of multiplication

- Let's Go Shopping - estimate by rounding to the nearest dollar as they shop

- Lunch Lady - The Lunch Lady (you) must total the three items on ten lunch trays (one at a time) in three minutes.
- Maggie's Farm - keep up with how many apples are sold and how much money was made
- Math at the Mall - practice percentages and finding the best deal while shopping at a virtual mall
- Math stories with Leon the Chameleon - Click on the Multiplication and Division button under the heading Select a Story (select Maybe Later on the registration screen)
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Mathematics Problem Solving Index - practice at solving a variety of word problems
Problem Set to use for Whole Class Practice - This twenty-slide show has a variety of problems to use for class review.
- Shopping at Troy's Toys - percent shopping
- Solving Math Word Problems - A Study Guides and Strategies web site posted by the University of St. Thomas
- Spy Guys Interactive - Problem Solving Bank - Lesson 20. (fifteen problems to solve, with suggested strategies given)
Taming Word Problems - a WebQuest
- Teacher Dodgeball - fill in numbers on an equation - Each blank of the equation stands for a number on a teacher. Hit the teacher with the number that goes next in the equation by clicking on them.

- Two-step Computation - multiply and add to find costs of food

- Translating Word Problems - The hardest thing about doing word problems is taking the English problem and translating it into math. A lesson from Purplemath, a great Algebra resource
- What Percentage of your Class is Right or Left Handed? - a data collection and analysis class experiment

- Who Wants Pizza? - work through ten interactive pages on pictorial representations of fractions
- Word Problems For Kids - This is a set of carefully selected problems (grade 5 to Grade 12) which can help you improve your problem solving skills.

Word Problem Practice - Problems in addition, subtraction and more (Warning: many pop-up ads on this site) (grades 1-5)
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Remainder - Understand the role of the remainder in division.
0406.2.14 |
- Draggable Division - students show all of their work as if they did it with pencil and paper which helps them better understand the role of the remainder

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Write Numbers - Read and write numbers from hundredths to hundred-thousands in numerals and in words.
SPI 0406.2.1 |
- 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.

- What's Your Name? - know the value of numbers when written in standard form or expanded notation

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Mixed Numbers - Locate and place mixed numbers on the number line.
SPI 0406.2.2 |
- Comparing two numbers on a number line from Web Math. Learn how to compare two numbers using a number line. Type each number into the boxes provided, then click "Show Me!"

- Line Jumper - Click on the number line at the correct answer.
- Mixed Numbers - identify and define mixed number parts [somewhat elementary, but reinforces the concept clearly]

- Mixed Numbers - in Fishy Fractions click on Adding Mixed Numbers or Subtracting Mixed Numbers then click on Begin Game. When the sign up screen comes up click Maybe Later to begin the game.
- Number Line Bounce - Instructions on how to play are included at the top of the window.

- Number Line: Comparing and Ordering Integers - practice with an Interactive Adventure with Deep Sea Carl - Carl is diving in the Great Barrier Reef off the coast of Australia. These waters are shark infested. Keep Carl safe by determining how many feet below sea level Jaws Daddy is.

Rational Numbers on a Number Line - a 1 page document from Glencoe Publishers; with explanation, examples, and practice problems
Rational Numbers on a Number Line - a 13 page document with examples and sample problems
- Rational Numbers on a Number Line - [designed for 6th grade]
- Practice problems to go with the lesson

Rational Numbers on a Number Line - a 9 slide PowerPoint show with good sample questions
- Spy Guys Interactive - Improper Fractions & Mixed Numbers - Lesson 2

- Visualizing Numbers on an Interactive Number Line - instructions for using this activity are included
Worksheet Generator - Reducing Fractions to Lowest Terms - You decide on the number of problems, the difficulty and whether or not to include improper fractions 
Worksheet Generator - Print your own number line worksheets, you decide on the starting and ending numbers and the increment. 
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Place Value - Identify the place value of a specified digit in a number and the quantity it represents.
SPI 0406.2.3 |
- My Place - Students learn that the value of a digit is determined by the placement of that digit.
- 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.

- Place Value - rounding numbers and place value activities (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 and Decimal - Quick Time movie explaining place values.
- Place Value of Decimals - What is the place value of a number in a decimal?

- Place Value - Lesson One- Quick Time movie explaining place values

- Place Value - Lesson Two- Quick Time movie explaining place values

- Place Value - Lesson Three- Quick Time movie explaining place values

- Place Value - Lesson Four- Quick Time movie explaining place values

- Place Value Party - Choose any ages to start, then trade candles until both cakes have the same number.
- 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
- There Must Be Thousands - read, write and identify numerals to the hundred thousands
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Factors and Multiples - Find factors, common factors, multiples, and common multiples of two numbers.
SPI 0406.2.4 |
- Common Multiples - definition and examples
- Factoring: Least Common Multiple - four step lesson which includes a workout at the end
- Finding The Least Common Multiple Is As Easy As One, Two... - step by step explanation
- Least Common Multiple - explanation followed by 8 multiple choice questions

- Multiples - explanation and practice problems

- Using Number Patterns, Fractions, and Ratios - use a Quia quiz to practice greatest common factor, simplify fractions, least common multiple, and divisibility rules [Who Wants to be a Millionaire format]
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Generate Equivalent Forms - Generate equivalent forms of common fractions and decimals and use them to compare size.
SPI 0406.2.5 |
- Equivalent fractions - explanation followed by practice problems
- Equivalent Fractions - fill in the missing number - 22 problems on this sample worksheet

- Equivalent Fractions - [somewhat harder] fill in the missing number - 22 problems on this sample worksheet

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Use Comparison Symbols - Use the symbols < , > and = to compare common fractions and decimals in both increasing and decreasing order.
SPI 0406.2.6 |
- Alligator Lunch - learn greater than and less than symbols

- Compare - 1-9, 1-20, 10-99, 100-999, customize the range of numbers - from FreeMathTest
- Worksheets to print are also available supporting instruction of this topic
- Compare Numbers - choose the orange button for numbers to 10,000
- Compare Numbers - explanation and examples from Study Zone
- Compare Numbers Practice Quiz - follow up quiz to the lesson above

- Comparing Exponential Expressions - select, <, >, or =
- Comparing Fractions - in Fishy Fractions click on Comparing Fractions, then click on Begin Game. When the sign up screen comes up click Maybe Later to begin the game.
- 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 Integers - Comparing integers with absolute values - instruction and review, practice, and a quiz
& 
- 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.
- Crack the Code - Find the missing number in a series

- Decimal and Whole Number Jeopardy - one or two player game

- Decimal Order - put the sequence of decimal numbers into ascending order
- Fraction Generator - generate your own online interactive worksheet comparing fractions

- Fraction Sorter - interactive site posted by Shodor
- Genius Boxing - box some of history's great math minds such as Einstein, Copernicus, Galileo, Bill Gates and more for universal math supremacy
- Greater, Less Than, or the Same - Compare these decimals - instruction and review, practice, and a quiz
& 
- MathDrill lets your students practice <, >, or =

- Practice comparison at FreeMathTest - numbers from 0 to 10, numbers from 10 to 50, numbers from 50 to 100.
- 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
- Organize the Wrenches - wrenches of various sizes must be placed in order from smallest to largest
- Place Numbers in Order - choose level and then ascending or descending order

- 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
|
Improper Fractions - Convert improper fractions into mixed numbers and/or decimals.
SPI 0406.2.7 |
- Ice Cream Shop - Convert improper fractions to mixed fractions

- Improper Fractions - in Fishy Fractions click on Improper Fractions, then click on Begin Game. When the sign up screen comes up click Maybe Later to begin the game.
- Spy Guys Interactive - Improper Fractions & Mixed Numbers - Lesson 2
Worksheet Generator - Reducing Fractions to Lowest Terms - You decide on the number of problems, the difficulty and whether or not to include improper fractions 
|
Add/Subtract Fractions - Add and subtract proper fractions with like and unlike denominators and simplify the answer.
SPI 0406.2.8 |
- Adding Fractions - in Fishy Fractions click on Adding Fractions Same Denominator, then click on Begin Game. When the sign up screen comes up click Maybe Later to begin the game.
- 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)
- Maggie's 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!

- Organize the Wrenches - wrenches of various sizes must be placed in order from smallest to largest
- Shade - Shade the figure to match the equivalent fraction

- Simple Fractions - An instructional site that reviews terms, factoring, reducing, addition and subtraction of fractions
- Subtracting Fractions - in Fishy Fractions click on Subtracting Fractions Same Denominator, then click on Begin Game. When the sign up screen comes up click Maybe Later to begin the game.
- Tony's Fraction Pizza Shop - great interactive game on fractions.
- Visual Fractions - Review on identifying, renaming, comparing, addition and subtraction - online quizzes follow lessons

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Add/Subtract Decimals - Add and subtract decimals through hundredths.
SPI 0406.2.9 |
- Addition and Subtraction Word Problems - five multiple choice questions

- Checking Subtraction - explore the inverse relationship of addition and subtraction

- Circus Fun - add up to three digits with regrouping

- 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
- Fun on the Farm - Multiply the numbers and add the totals to see how much the farmer should charge for his products.

- Grand Slam Math - Level I - 15 addition and subtraction single and multi step word problems that start out easy and get a little harder as you go
- Grand Slam Math - Level II - 15 multiplication and division single and multi step word problems that start out easy and get a little harder as you go
- It's A Fact - practice basic subtraction facts

- Jetski Addition - a multi player addition racing game
- Lemonade Stand - How much money is needed to purchase cups of lemonade?

- 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

- Lunch Lady - The Lunch Lady (you) must total the three items on ten lunch trays (one at a time) in three minutes. [a money counting game from Mr. Nussbaum]
- Math Hoops - All word problems use whole numbers but the problems range from single step addition to multi step equations. There are also problems that require students to interpret remainders. Students who answer 5 questions correctly get a chance to play some basketball.
-
Math Playground - Hundreds of self-checking word problems for students in grades 1 to 6. There are currently 675 word problems available. They will be adding more content throughout the school year
- Math Stories Activity - select Combining, Separating, Comparing, or Equal Groups and then work through activities by writing math sentences
- Math stories with Leon the Chameleon - Click on the Addition and Subtraction button under the heading Select a Story
-
Math Story Problems! - Kid created math story problems ("Kitten" pages are the easiest.) There are lots of links to pages of problems... scroll way down to see them all
- My Backpack - add columns and find missing addends using data generated from a chart

- Railroad Repair - students must repair gaps in the railroad tracks by adding decimal lengths of track - each section gets harder
- Rope Tug - [game for one or two players] three levels available, opponents are pulled toward the pit if you have a larger decimal, the amount of pull is related to the difference between the two decimals
- Rounding - to the nearest ten or dollar, a quiz from Saxon math
- Shopping at Troy's Toys - percent shopping
- Show Me The Money - add using columns.

- 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: 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)
- Spy Guys Interactive - Decimals - Lesson 1
- Spy Guys Interactive - Solving Problems with Decimals - Lesson 5

-
Thinking Blocks - (an engaging, interactive math tool to help students learn how to solve multi step word problems; addition & subtraction, multiplication & division, and ratio & proportion) Thinking Blocks encourages students to look beyond the surface to discover the concepts and relationships that are at the core of every math problem. 
- Tug of War Addition - a multi player tug of war game for addition
- Word Problems for Grades 1 - 5 - This KidZone math page has four fourth grade problems. Each time you open a new page the site generates new values for the problem.
- Word Problems with Katie - Level I - 10 addition and subtraction single and multi step word problems that start out easy and get a little harder as you go
- Word Problems with Katie - Level II - 10 multiplication and division single and multi step word problems that start out easy and get a little harder as you go
|
Contextual Problems - Solve contextual problems using whole numbers, fractions, and decimals.
SPI 0406.2.10 |
- Math in Daily Life - Playing to Win - information about real world [contextual] problems involving casinos and probability
- Math in Daily Life - Savings and Credit - information about real world [contextual] problems involving managing debt
|
Multi-digit Multiplication - Solve problems using whole number multi-digit multiplication.
SPI 0406.2.11 |
- Math stories with Leon the Chameleon - Click on the Multiplication and Division button under the heading Select a Story (select Maybe Later on the registration screen)
- Sum Sense (Multiplication) - Students practice single digit multiplication by dragging numbers to complete the sentence.

- Tug of War Multiplication - a multi player tug of war game for multiplication
- Word Problems - using basic addition, subtraction, and multiplication

|
Whole Number Division - Solve problems using whole number division with one- or two-digit divisors.
SPI 0406.2.12 |
- Mathematics Problem Solving Index - practice at solving a variety of open sentence problems
- Math stories with Leon the Chameleon - Click on the Multiplication and Division button under the heading Select a Story (select Maybe Later on the registration screen)
- Problem-Solving - numerous online tasks covering all operations with hints and answers provided.
- Sum Sense (Division) - Students practice single digit division by dragging numbers to complete the sentence.

- Word Problems for Kids - Pick your grade level and start solving problems!
|
National Library of Virtual Manipulatives |
- Number & Operations [Grades 3-5]

|
|
Algebra 
|
|
Find Unknown - Find an unknown quantity in simple equations using whole numbers, fractions, decimals, and mixed numbers.
0406.3.1 |
-
Gas Mileage - When planning a road trip, it's useful to know what gas mileage your car gets. Use these instructions in as real world situation
- How Much Further? - Find out how long your trip will take after calculating mileage.
|
Represent Quantities - Translate between symbols and words to represent quantities in expressions or equations.
0406.3.2 |
- The Lunch Crunch - using a key, crack the code to find the prices for items on a menu [Note: this document was retrieved from the Internet Archive known as the Wayback Machine. The site may be blocked by school filters, so consider printing the two page document at home.]

|
Pattern or Sequence - Create, explain and use a rule to generate terms of a pattern or sequence.
0406.3.3
|
- Crack the Code - find the missing number in a series

- Missing Numbers - find the missing numbers in a sequence

- Spooky Sequences - One of the ghosts is missing a number. Click on the numbers along the bottom to enter the right number in the sequence. (square numbers)

- Spooky Sequences - One of the ghosts is missing a number. Click on the numbers along the bottom to enter the right number in the sequence. (triangular numbers)

- Spooky Sequences - One of the ghosts is missing a number. Click on the numbers along the bottom to enter the right number in the sequence. one digit numbers (by ones) | two digit numbers (by ones) | three digit numbers (by ones) | counting by twos | counting by fives | counting by tens | backward by ones | backward by twos | backward by fives | backward by tens

|
Represent Pattern - Translate between symbolic, numerical, verbal, or pictorial representations of a whole number pattern or relationship.
0406.3.4 |
- Algebra Puzzle - Find the value of each of the three objects presented in the puzzle. The numbers given represent the sum of the objects in each row or column. Sometimes, only one object will appear in a row or column. That makes the puzzle easier to solve. Other times, you will have to look for relationships among the objects.
- Brenda's Bedroom Border - complete a pattern
- Patterns - this video lesson explains patterns, and then gives your students the chance to show understanding on several quizzes.

- Spy Guys Interactive - Summarizing/Extending Patterns - Lesson 8

- What's the Pattern? - eight questions regarding patterns
|
|
Write Mathematical Expression - Use letters and symbols to represent an unknown quantity and write a simple
mathematical expression.
SPI 0406.3.1
|
- Equation Unknowns - Critical Thinking Puzzles - large list of worksheets to print

|
Geometric and Numeric patterns - Make generalizations about geometric and numeric patterns.
SPI 0406.3.2 |
- Using Number Patterns, Fractions, and Ratios - use a Quia quiz to practice greatest common factor, simplify fractions, least common multiple, and divisibility rules [Who Wants to be a Millionaire format]
|
Analyze Patterns - Represent and analyze patterns using words, function tables, and graphs.
SPI 0406.3.3 |
- Ambleweb Function Machine - students identify what process was used to produce a sequence of numbers (twelve processes available)

- Function Machine - investigate very simple functions by trying to guess the algebraic form from inputs and outputs.

- Linear function - move your cursor to the green block to select step 1

- Linear function and Graph - move your cursor over the green block to see lesson 1 or lesson 2

- Linear Function Machine - investigate linear functions by trying to guess the slope and intercept from inputs and outputs.

- Positive Linear Function Machine - investigate linear functions with positive slopes by trying to guess the slope and intercept from inputs and outputs.
- What's the Pattern? - eight questions regarding patterns
|
National Library of Virtual Manipulatives |
-
Algebra [Grades 3-5] 
|
|
|
Checks for Understanding (Formative/Summative Assessment) |
Circles - Identify the basic parts of circles.
0406.4.1
|
- Basic Pats of a Circle - an online PowerPoint 13-slide show viewed in the browser
- How to Calculate the Circumference of a Circle - a step by step explanation from Wiki How
- Origin of the 360-Degree Circle - response by Dr. Jerry at the Math Forum
|
Degrees in Circle - Understand the definition of degree as it relates to the circle.
0406.4.2 |
- Degrees in a Circle - the Math is Fun explanation includes a good animation and a reference to two types of protractors
- Properties of a Circle - from Math Forum
- Why is a Circle 360 Degrees? - get the answer from Dr. Math
- Why is a Circle 360 Degrees? - another answer from Dr. Math with more information about pi
|
Classify Angles - Classify angles and triangles as obtuse, acute, or right.
0406.4.3
|
- Angles - practice knowledge of acute, obtuse and alternate angles.

- Classifying Angles - multiple-choice quiz

- Identify Geometric Shapes - Match the shape with the correct name to uncover a picture

- Triangle Explorer - Students learn about areas of triangles and about the Cartesian coordinate system through experimenting with triangles drawn on a grid.

- Triangle Identification - type of triangle, given its angles - instruction and review, practice, and a quiz
and 
|
Measure Angles - Measure and draw angles.
0406.4.4 |
- Making Triangles - investigating the Concept of Triangle and the Properties of Polygons (from NCTM)
- Anti-Homework - estimate angles from 0 to 180 - correct answers give you a homework grenade to get rid of assignments [gets progressively harder]

- Measuring Angles - online quiz with virtual protractor

- Protractor - learn how to position and read a protractor in order to measure an angle, and how to use either scale on the protractor

|
Polygon - Determine if a figure is a polygon.
0406.4.5 |
- Creating Polygons - investigating the Concept of Triangle and the Properties of Polygons (from NCTM)

- Identify Polygons - names of polygons by number of sides and angles - instruction and review, practice, and a quiz
and 
- Name that Polygon - identify name of given polygon components - instruction and review, practice, and a quiz
and 
- Polygon Playground - arrange designs with online movable polygons - hundreds of polygons to drag anywhere you want

|
Metric Measures - Recognize the use of decimals in metric measures.
0406.4.6 |
- Decimals in Measurement - conversion factors presented by the Math League
- Measurement, Decimals and the Metric System - UK spelling is used at this UK site - caution your students
- Metric Measure - The metric system of measurement makes heavy use of the decimals. A table at this site gives an idea how.
- Metric Prefixes - explanation, practice and a game

- Metric Symbols - explanation, practice and a game

- Metric Units - explanation, practice and a game

- Metric Values in Words - explanation, practice and a game

|
Measure Liquids - Measure liquids using both standard units and metric units.
0406.4.7 |
- Conversion Table - two columns of conversion rates; US to metric and metric to US

- Kitchen Math - liquid measure
- Kitchen Math - dry measure
- Units of Measurement - length, mass, area, and volume measurements and conversion factors

|
Area - Recognize that a measure of area represents the total number of same-sized units /that cover the shape without gaps or overlaps.
0406.4.8 |
- Areas and Squares - multiple choice quiz

- Area of an Irregular Rectangle - calculate the area of each figure given
- Erich's Packing Center - many examples of shapes within shapes
|
Rearrange Figure - Recognize that area does not change when 2-dimensional figures are cut apart and rearranged.
0406.4.9 |
- Developing Geometry Understandings and Spatial Skills through Puzzlelike Problems with Tangrams: Tangram Puzzles - lesson plan from NCTM
- Tangram - six puzzles to select from

- Tangram Game - rearrange pieces to make a new shape

- Tangram Puzzle - use all seven Chinese puzzle pieces to make shapes and solve problems

|
Rectangular Area Model - Connect area measure to multiplication using a rectangular area model.
0406.4.10 |
- Area Model of Multiplication Using Base 10 Manipulatives - a lesson plan from the Alabama Learning Exchange [ALEX]

- Rectangle Multiplication - from the National Library of Virtual Manipulatives

|
Estimate Area - Estimate areas of rectangles in square inches and square centimeters.
0406.4.11 |
- Areas and Squares - multiple choice quiz

- Area of an Irregular Rectangle - calculate the area of each figure given
|
Estimate Size - Estimate the size of an object with respect to a given measurement attribute (length, perimeter, area, or capacity).
0406.4.12 |
- Comparison Estimator - Similar to Estimator but compares two sets of objects.

- Estimate - (use as a whole class activity) Select a range, display tick marks and estimate before revealing the answer.
- Estimation Valley Golf - Estimate answers to problems and putt your way into a championship!

- Estimator - Practice estimation skills by determining the number of objects, length, or area. (parameters: error tolerance)

- Guess the Number - developing skills in halving and estimation

- Let's Go Shopping - estimate by rounding to the nearest dollar as they shop

- More or Less Estimator - Similar to Estimator activity but states a quantity and asks the user to estimate whether the set of objects is more or less than the number given.
- Round About - estimate by rounding

- 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.
|
Compare Objects - Compare objects with respect to a given attribute such as length, area, and capacity.
0406.4.13 |
- Cool to Rule: A Game of Estimation and Measurement - lesson plan for helping students estimate and compare length
|
Coordinate System - Explain how the components of a coordinate system are used to determine location.
0406.4.14 |
- Billy Bug - Guide Billy to the coordinates hiding the food. coordinates 0-10 | coordinates 0-5

- Graphing Skills - What's the point? find the point on the grid (choose Easy for Quadrant 1 problems)

- Grid Graph - identify and plot points on a grid

- Reading Grids - find Hurkle in an intersection of a grid

Worksheet Generator coordinate plane worksheets - Print your own blank coordinate plane worksheets, you determine the number of grids on a sheet and whether the grids are numbered or not. 
|
Path Between Points - Explore properties of paths between points.
0406.4.15 |
- Simple Coordinates Game - Quadrant I

|
Transformations - Examine transformations in the coordinate plane.
0406.4.16 |
- Flip, Slide, or Turn - six flash movies allow you to watch the path an object takes while it is being transformed
- Flips, Slides, and Turns - a manipulative which allows you to view the effect of applying reflection, translation, and rotation transformations
- Mathsnet Transformations - interactive site. a collection of approaches to this topic to offer you a choice. All require Java and a recent browser.

- Measuring Turns - what would shapes look like if rotated
Motion in Geometry - a 127 slide PowerPoint show
- Sam's Similar Shapes - Students learn about shapes that are different sizes but the same shape.
- Spy Guys Interactive - Slides and Flips - Lesson 17

- Transformations - [designed for 7th grade] how to identify, describe, perform, and analyze transformations involving translations, reflections, and rotations
Transformations - [designed for 7th grade] a 21 slide PowerPoint show produced by Holt, Rinehart and Winston
- Transformations - a Flash movie which demonstrates flips, slides, and turns
- Transformations and Symmetry - many good examples on this Math Art Connections page includes a student project assignment at the end
- Wrapping Paper Patterns - decide which figures would result from a flip, a slide, or a turn

|
Predict Results - Predict the results of a transformation of a geometric shape.
0406.4.17 s |
- Cube - Find out which colors will be on opposite faces of a cube whose faces are shown unfolded.

- Flip, Slide, or Turn - six flash movies allow you to watch the path an object takes while it is being transformed
- Flips, Slides, and Turns - a manipulative which allows you to view the effect of applying reflection, translation, and rotation transformations
- Measuring Turns - what would shapes look like if rotated
- Spy Guys Interactive - Slides and Flips - Lesson 17

- Transformations - a Flash movie which demonstrates flips, slides, and turns
- Wrapping Paper Patterns - decide which figures would result from a flip, a slide, or a turn

|
Symmetry - Determine whether a geometric shape has line and/or rotational symmetry.
0406.4.18 |
- Circle Symmetry - a kinesthetic approach to rotational symmetry - lesson plan with several activities included

- Relating Rotations to Symmetry - investigate the relationship between rotations and the symmetry you recognize in a figure or a design
- Rotation Symmetry of Regular Polygons - interactive applet

- Rotational Symmetry - definition and examples from Wikipedia
- Rotational Symmetry - from Math is Fun, includes real world examples
- Rotational Symmetry - two part lesson which includes an interactive example

- Rotational Symmetry - a lesson from Math Forum
- Rotational Symmetry in Hub Caps - examine four wheels and then rank them in order of their magnitude
- Rotational Symmetry Worksheet - eight activities

- Symmetry All Around You - Rotational Symmetry - several real world examples
- Working with Rotational Symmetry - five questions from Regions Prep

|
Tilings and Tessellations - Design and analyze simple tilings and tessellations.
0406.4.19 |
- Claris Works & Tessellations in Color - how to use a Macintosh program to make your own tessellations
- Tips for using the the paint program in Claris Works
- Creating Tessellations Using Microsoft Paint
- HyperStudio & Tessellations in Color - if you still have this program you can use it to make tessellations
- Tessellate! - an interactive device for making a tessellation
- Tessellation - from Wikipedia
-
- Tessellations - information about all aspects of tessellations, from their history and development to complete galleries of examples by David, Seth and the Master, M.C. Escher, the pioneer of the art
- Tessellations - Step by step with "Paintbrush" or "Paint". [Note: this document was retrieved from the Internet Archive known as the Wayback Machine. The site may be blocked by school filters, so consider printing the document at home.]
- Tessellations Theme Page - links to information about Tessellations
- What are Tessellations - how to make them from Cool Math 4 Kids
- What Is a Tessellation? - from Math Forum
|
Lines of Symmetry - Draw lines of symmetry in 2-dimensional figures.
0406.4.20 |
- Ask Hannah - describe symmetry in two-dimensional shapes

- Line Symmetry - many activities here
- Lines of Symmetry - drag the shapes that have lines of symmetry into one bin and those that do not into the other bin
- Lines of Symmetry - this video lesson explains horizontal, vertical and diagonal line symmetry, and then gives your students the chance to show understanding on several quizzes.

- Symmetry Activity - practice making patterns that have symmetry
|
Faces of Shapes - Recognize two-dimensional faces of three-dimensional shapes.
0406.4.21 |
- Common 2-D and 3-D shapes - explanation, illustrations, and a quiz

- Shape Database - Use the pop up menus to find the links between sides, faces and shape names. 2D shapes and 3D shapes are listed
|
|
Line Segments - Classify lines and line segments as parallel, perpendicular, or intersecting.
SPI 0406.4.1 |
- Geometry: Parallel, Perpendicular or Intersecting Lines - multiple choice and T/F questions

Parallel, Perpendicular or Intersecting Lines - 11 slide show to use as review
- Pairs of Lines - four types of lines from Online Math Learning
- Parallel and Intersecting Lines - worksheet to print from EdHelper

- Parallel and Perpendicular Lines - free geometry lesson plan from HomeschoolMath.net

|
Quadrant I - Graph and interpret points with whole number or letter coordinates on grids or in the first quadrant of the coordinate plane.
SPI 0406.4.2 |
- Billy Bug - Guide Billy to the coordinates hiding the food. coordinates 0-10 | coordinates 0-5

- Graphing Skills - What's the point? find the point on the grid (choose Easy for Quadrant 1 problems)

- Grid Graph - identify and plot points on a grid

- Reading Grids - find Hurkle in an intersection of a grid

- Simple Coordinates Game - Students investigate the first quadrant of the Cartesian coordinate system through identifying the coordinates of points, or requesting that a particular point be plotted.

- Simple Maze Game - Students investigate the first quadrant of the Cartesian coordinate system by directing a robot through a mine field laid out on the plane.

- Stock the Shelves - You are the clerk. Stock the shelves using a special coordinate plane. [all 4 quadrants used in this game]
Worksheet Generator - Print your own blank coordinate plane worksheets, you determine the number of grids on a sheet and whether the grids are numbered or not. 
- Advanced (all 4 Quadrants used)
- General Coordinates Game - Students investigate the Cartesian coordinate system through identifying the coordinates of points, or requesting that a particular point be plotted. (all 4 quadrants utilized)

- Maze Game - Students use their knowledge of points on a graph to move a robot to the target, while avoiding mines. (all 4 quadrants utilized)

|
Coordinate Grid - Construct geometric figures with vertices at points on a coordinate grid.
SPI 0406.4.3 |
- Create a Haunted House...if you dare! - Follow directions to sharpen your graphing skills, create a cool haunted house and then morph it using math.
- Expressions, Equation Solving and Graphing in the Coordinate Plane - The Haunted house and many more coordinate plane practice problems
- General Coordinates Game - Students investigate the Cartesian coordinate system through identifying the coordinates of points, or requesting that a particular point be plotted.

|
Identify Angles - Identify acute, obtuse, and right angles in 2-dimensional shapes.
SPI 0406.4.4 |
- Anti-Homework - estimate angles from 0 to 180 - correct answers give you a homework grenade to get rid of assignments [gets progressively harder]
|
Identify Attributes - Identify attributes of simple and compound figures composed of 2- and 3- dimensional shapes.
SPI 0406.4.5 |
- Common 2-D and 3-D shapes - explanation, illustrations, and a quiz

- Shape Database - Use the pop up menus to find the links between sides, faces and shape names. 2D shapes and 3D shapes are listed
|
Accuracy - Determine situations in which a highly accurate measurement is important.
SPI 0406.4.6 |
- Highly Accurate Measurement of Plant Genomic DNA to Improve Genetic Identity Testing of U.S. Export Grains - how food science needs accurate measurement

|
Appropriate Units - Determine appropriate size of unit of measurement in problem situations involving length, capacity or weight.
SPI 0406.4.7 |
- Measurement Estimation - [level 1] items were taken from a kitchen cupboard, items were measured for length, weight, and capacity - worksheet

- Measurement Estimation - [level 2] recipe item amounts need to be adjusted - worksheet

- Measurement Estimation - [level 3 ] automobile related measurements - worksheet

|
Convert Measurements - Convert measurements within a single system that are common in daily life (e.g., hours and minutes, inches and feet, centimeters and meters, quarts and gallons, liters and milliliters).
SPI 0406.4.8 |
- Conversion Table - two columns of conversion rates; US to metric and metric to US

- Decimals in Measurement - conversion factors presented by the Math League
- Metric Measure - The metric system of measurement makes heavy use of the decimals. A table at this site gives an idea how.
- Metric Prefixes - explanation, practice and a game

- Metric Symbols - explanation, practice and a game

- Metric Units - explanation, practice and a game

- Metric Values in Words - explanation, practice and a game

- Units of Measurement - length, mass, area, and volume measurements and conversion factors

|
Area and Perimeter - Solve problems involving area and/or perimeter of rectangular figures.
SPI 0406.4.9 |
- Exploring Length and Perimeter - a lesson plan from the Alabama Learning Exchange [ALEX]

|
Resulting Images - Identify images resulting from reflections, translations, or rotations.
SPI 0406.4.10 |
- Cube - Find out which colors will be on opposite faces of a cube whose faces are shown unfolded.
- Flip, Slide, or Turn - six flash movies allow you to watch the path an object takes while it is being transformed
- Flips, Slides, and Turns - a manipulative which allows you to view the effect of applying reflection, translation, and rotation transformations
- Measuring Turns - what would shapes look like if rotated
Motion in Geometry - a 127 slide PowerPoint show
- Slides, Flips, and Turns - lesson plan with links to four printables

- Spy Guys Interactive - Slides and Flips - Lesson 17

- Transformations - a Flash movie which demonstrates flips, slides, and turns
- Wrapping Paper Patterns - decide which figures would result from a flip, a slide, or a turn

|
National Library of Virtual Manipulatives |
- Geometry [Grades 3-5]
- Measurement [Grades 3-5]

|
|
Data Analysis, Statistics, & Probability 
|
|
Appropriate Scales - Create and label appropriate scales for graphs.
0406.5.1 |
- All The Parts - learn the parts of a graph

- Create-a-Graph - lessons and activities on a variety of graphs

- Grapher - interactive column graph maker, students can change values and labels

|
Represent Data - Evaluate how well various representations show the collected data.
0406.5.2 |
- Chart Gallery - large number of examples of many different types of charts
- Data Picking - students collect data, enter tally marks or numbers and then select which graph is appropriate

- Interpreting Column Graphs - students practice by answering ten questions about the graph

- Interpreting Data - survey a small group by clicking on each of the children, turn the tally marks into two types of graphs and then go back and take a different survey
- Interpreting Data Quiz - after you finish the lesson above, take this quiz

- Interpreting Data - multiple-choice quiz from Gencoe math [5 questions]

- Interpreting Column Graphs - students practice by answering ten questions about the graph
- Overview of a Bar Graph by Nicole Carroll followed by a practice quiz
- Overview of a Line Graph by Nicole Carroll followed by a practice quiz
- Play Ball - collect data to put on a picture graph
|
Pie Charts - Interpret and prepare pie charts using appropriate measurements of angles.
0406.5.3 |
- Circle Graph - Enter data categories and the value of each category to create a circle graph (similar to "Pie Chart" but the user can define the data set)

- Data Interpretation Games - Numerous activities on using and interpreting data - Activities include bar, pie and line graphs, data collecting and much more
- Interpreting Circle (Pie) Graphs - students practice by answering eight questions about the graph
- Pie Chart - view pie charts (parameters: number of sectors, size of sector as a percent)
- Piece Of Pie - display data using a circle graph
- Spy Guys Interactive - Understanding and Interpreting Graphs - Lesson 10

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Stem-and-Leaf - Develop and use stem-and-leaf plots.
0406.5.4 |
Lesson designed to introduce students to stem-and-leaf plots
Long Distance Airplanes - a stem-and-leaf plot lesson from Iluminations (rated 3rd-5th grade, but quite useful) 
- Make a Stem-and-Leaf plot of the data you enter into the text area (ignore the warning about Internet Explorer, it works fine).

Organizing Data in a Stem and Leaf Plot - a lesson plan from Annenberg CPB
- Making a Stem and Leaf Plot - An excellent interactive assignment can be found at the bottom of this page.

- Ordering a Stem and Leaf Plot - An excellent interactive assignment can be found at the bottom of this page.

- Grouping by Fives - An excellent interactive assignment can be found at the bottom of this page.

- Overview of Mean, Median, and Mode
- Stem-and-Leaf Plots - Their Construction and Use - an overview followed by several suggested assignments
- Stem and Leaf Plotter - an interactive applet that allow students to input data

- Stem-and-Leaf plots - from Purple Math
- Worksheet to accompany a "Stem-and-Leaf Plots" Lesson

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Central Tendency - Use measures of central tendency to compare two sets of related data.
0406.5.5 |
- All That Data - use range, mean, median, and mode

- All That Data Two - describe graphs in terms of range, measures of central tendency, and distribution

- Central Tendency Generator - Create your own online worksheet with your specifications as to mean, mode, and median

- Jupiter Is Average - Using data from our solar system, students explore median, mode, mean, and range. Students learn to use an on-line calculator to determine the mean and range.

- Mean Green Machine - use a calculator to find and use the average, or mean, of a set of data

- Mean, Median, and Mode Calculator - enter numbers separated by comma and then calculate

- Medians - understand and apply the concepts of median and mean

- Mode, Mean, Median - calculate mode, median and mode of a set of buildings, then repeat the activity with a different set - (metric measurements)
- Quiz following the Mode, Mean, Median activity

- Party Comedian - find and use the median of a set of data

- Party Mode - find and use the mode of a set of data

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Probability - Determine a simple probability.
0406.5.6 |
- Card Sharks - use your knowledge of probability to predict if the next card will be higher or lower
- Coin Flip - this coin flipper builds a column graph one flip at time - let your students see the progression as data is generated and collected
- Coin Flipping Page - posted by Ken White

- Coin Toss - toss enough coins to make a prediction about probability (maximum number of tosses 1000, but you can keep tossing to get a larger dataset)

- Starfish Probability - interactive game - state the probability of picking up a starfish of the specified color
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Express Probability - Express a probability pictorially.
0406.5.7 |
- A Birthday Pictogram to use in a whole class activity interpreting pictographs
- How to Change Graphics in a Pictogram -
- Pictograms/Pictographs - explanation including a video

- Play Ball - collect data to put on a picture graph

Step-by-step Internet4Classrooms module on how to create a pictograph 
- Use Pictograms to answer questions - [designed for 3rd grade] interactive lesson
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Depict Data - Depict data using various representations (e.g., tables, pictographs, line graphs, bar
graphs).
SPI 0406.5.1 |
- All The Parts - (3-5) learn the parts of a graph

- Bar Graph - Enter data to create a bar graph, then manipulate the graph's maximum and minimum values.

- Circle Graph - Enter data categories and the value of each category to create a circle graph (similar to "Pie Chart" but the user can define the data set)

- Comparative Bar Graphs - read the graph and answer questions
- Create-a-Graph - lessons and activities on a variety of graphs

- How It All Stacks Up - interpret and compare information using a bar graph

- Interpreting Column Graphs - students practice by answering ten questions about the graph

- Overview of a Bar Graph by Nicole Carroll followed by a practice quiz

- Overview of a Line Graph by Nicole Carroll followed by a practice quiz

- Pie Chart - view pie charts (parameters: number of sectors, size of sector as a percent)

- What percentage has been shaded - Guess the percent of the shaded pie chart (extremely difficult)

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Estimation - Solve problems using estimation and comparison within a single set of data.
SPI 0406.5.2 |
- Cool to Rule: A Game of Estimation and Measurement - lesson plan for helping students estimate and compare length

- Data Picking - students collect data, enter tally marks or numbers and then select which graph is appropriate

- The Hot Tub - This is a fun activity where students tell the story behind a graph and relate slope to rate of change.

- Interpreting Data - survey a small group by clicking on each of the children, turn the tally marks into two types of graphs and then go back and take a different survey
- Interpreting Data Quiz - after you finish the lesson above, take this quiz

- Spy Guys Interactive - Understanding and Interpreting Graphs - Lesson 10
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Median, Range, or Mode - Given a set of data or a graph, describe the distribution of the data using median, range, or mode.
SPI 0406.5.3 |
- All That Data - use range, mean, median, and mode

- All That Data Two - describe graphs in terms of range, measures of central tendency, and distribution

- Central Tendency Generator - Create your own online worksheet with your specifications as to mean, mode, and median.

- Jupiter Is Average - Using data from our solar system, students explore median, mode, mean, and range. Students learn to use an on-line calculator to determine the mean and range.

- Mean Green Machine - use a calculator to find and use the average, or mean, of a set of data

- Mean, Median, and Mode Calculator - enter numbers separated by comma and then calculate

- Medians - understand and apply the concepts of median and mean

- Mode, Mean, Median - calculate mode, median and mode of a set of buildings, then repeat the activity with a different set - (metric measurements)
- Quiz following the Mode, Mean, Median activity

- Landmark Chart Numbers - Range, mean, median, and mode
- Party Comedian - find and use the median of a set of data

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Possible Outcomes - List all possible outcomes of a given situation or event.
SPI 0406.5.4 |
- Interpreting a Data Chart - students practice by answering questions about what can be found in a grid chart

- Practice with Data - answer questions pertaining to collecting and organizing data [Note: this page was retrieved from the Internet Archive known as the Wayback Machine. The site may be blocked by school filters.]
- Probability - online quiz

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National Library of Virtual Manipulatives |
- Data Analysis & Probability [Grades 3 - 5]

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Practice Tests |
- Houghton Mifflin Mathematics Test Prep Practice
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Daily Questions |
- Daily Questions - to serve as a ten to fifteen minute (approximate) review of practice test items and critical thinking (234 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.]

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Released Tests & Others |
- FCAT Sample Test Book - [2008] sample questions and test taking tips
- FCAT Sample Answer Book - [2008] sample questions and test taking tips
- Fourth 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 2004
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TAAS Attack Daily Upkeeps |
- Daily Upkeeps - Scroll down this page until you see "4th Grade TAAS Attack Daily Upkeeps." There are 15 practice activities to print (in .pdf format) [Note: this document was retrieved from the Internet Archive known as the Wayback Machine. The site may be blocked by school filters, so consider printing the worksheets at home.]
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General Total Math Review |
- Brain Teasers - critical thinking skills
- 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 Teachers' Toolkit - Compilation of Flash resources to help students understand concepts.
- SOL Resources - posted by Virginia DOC
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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| Worksheets |
- Teacher Tools - as large number of worksheet sources are available, not all of them math
- Worksheet Generator - This web site will allow you to create printable math worksheets from your browser. (addition, subtraction, multiplication, division, mixed problems, fractions, measurement, fractions, graphing, telling time, and a one-hundred chart)
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