 Grade 3 Teacher Resources by Ohio Content Standard

Number and Number Systems

Indicator

Description

Instruction/Activity

1. Identify and generate equivalent forms of whole

numbers; e.g., 36, 30 + 6, 9 x 4, 46 - 10, number of inches

in a yard.

Concentration
Match numbers, shapes, fractions, or multiplication facts to equivalent representations.

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2. Use place value concepts to represent whole numbers

and decimals using numerals, words, expanded notation

and physical models. For example:

a. Recognize 100 means “10 tens” as well as a single

entity (1 hundred) through physical models and

b. Describe the multiplicative nature of the number

system; e.g., the structure of 3205 as

3 x 1000 plus 2 x 100 plus 5 x 1.

c. Model the size of 1000 in multiple ways; e.g., packaging

1000 objects into 10 boxes of 100, modeling a meter

with centimeter and decimeter strips, or gathering

1000 pop-can tabs.

d. Explain the concept of tenths and hundredths using

physical models, such as metric pieces, base ten

blocks, decimal squares or money.

Decimals (Number Line Placement)
This interactive website gives students a decimal (from 0.0 to 4.0, expressed to the tenths place) and has the student drag the number to the correct place on a number line.

http://www.quizville.com/numberLineDecimalsArrow.php

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Big Numbers
This site helps you understand place value and how to read and write large numbers.

http://www.mathcats.com/explore/reallybignumbers.html

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Place Value Quiz from ThatQuiz
This is a great interactive online quiz about determining place value for both whole numbers or decimals. Use the "Level" option to change the difficulty.

http://www.thatquiz.org/tq/practice.html?placevalue

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Partitioning Numbers
This is a simple representational game. It shows shapes in groups of tens and ones. The students choose the number that represents the total of the groups. It is easy for students to use independently and attractive so they will want to use it.

http://www.ictgames.com/partition.html

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Place Values
This web site has 18 lessons on place value from basic to advanced. Each lesson has an explanation and an activity for the student to try.

http://www.aaamath.com/plc.html

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Chip Abacus - National Library of Virtual Manipulatives
This online manipulative allows the user to move chips between the 1's, 10's and 100's place, seeing the quantities split or combine as needed.

http://nlvm.usu.edu/en/nav/frames_asid_209_g_1_t_1.html?open=activities

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Virtual Base Blocks - Adding and Subtracting Decimals
This online virtual manipulative lets the student use base blocks to add and subtract decimals, by splitting and combining blocks. This is also a great way to visualize the concepts of decimal place value.

http://matti.usu.edu/nlvm/nav/frames_asid_264_g_1_t_1.html

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Lifeguards
Read the radar screen and use the motor boat to travel along a number line and rescue struggling swimmers. This game helps show what each digit in a two digit number represents.

http://www.ictgames.com/LIFEGUARDS.html

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Virtual Base Blocks - National Library of Virtual Manipulatives
This great online manipulative allows you to investigate whole number and decimal place value by placing, moving, breaking, and grouping base blocks to represent whole number and decimal number place values.

http://nlvm.usu.edu/en/nav/frames_asid_152_g_1_t_1.html

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Identify the Place Value
This is a simple interactive website that displays a random number and has the student identify which digit is in a specific place value from the millions to hundred-thousandths place.

http://www.quizville.com/placeValue.php

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This page is specifically for teachers and describes a complete lesson plan on how to teach base 10 place value as well as basic arithmetic operations using this online version of the base 10 blocks manipulatives.

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This interactive website gives students a decimal (from 0.0 to 4.0, expressed to the tenths place) and has the student drag the number to the correct place on a number line.

http://www.quizville.com/numberLineDecimalsArrow.php

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3. Use mathematical language and symbols to compare and

order; e.g., less than, greater than, at most, at least, <, >, =, ≤, ≥.

This web site offers many lessons on comparing numbers up to the millions. Each lesson has an explanation and exercises for the student to try.

http://www.aaamath.com/B/cmp.htm

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This is a great interactive online quiz about comparing whole numbers (and integers if selected) with the mathematical symbols <, =, and >.

http://www.thatquiz.org/tq/practice.html?inequality

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4. Count money and make change using coins and paper

bills to ten dollars.

In this game students pick the item that you would like to buy and then choose the correct amount of coins you need to pay for that item.

http://www.primarygames.com/Spending%20Spree/start.htm

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*Get as much money in your piggy bank as possible, by figuring out the correct change.

http://www.funbrain.com/cashreg/index.html

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In this online game the student is asked to count out a certain amount of change by dragging pictures of different coins onto a table.

http://www.myparentime.com/games/games42/games42.shtml

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*In this online game you are given three minutes to complete as many sales as possible. For each sale a cute animal is making a purchase and your job is to give the correct amount of change.

http://www.mrnussbaum.com/cashd.htm

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This is a great interactive online quiz about counting money with pictures or words.

http://www.thatquiz.org/tq/practice.html?money

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5. Represent fractions and mixed numbers using words,

numerals and physical models.

In this game you help Ulani the pelican catch fish by matching written fractions to their picture form and numeric form.

http://www.iknowthat.com/com/App?File=FractionGame.htm&Type=S&App=FractionGame&Topic=namematch&SkipGuestWarning=true

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This interactive website gives the student a fraction and has the student drag the fraction to its correct location on a number line.

http://www.quizville.com/numberLineFractionsArrow.php

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This interactive website teaches the fundamentals of fractions. Students must count and type the number of pieces in a shape and the number that are shaded. Then they drag those numbers to the appropriate boxes to form the numerator and denominator.

http://www.quizville.com/fractions.php

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This virtual manipulative helps you learn about equivalent fractions. First you are given a fraction and a model of that fraction using a square or circle. Then you need to change the number of pieces in you model to come up with an equivalent name for the fraction.

http://nlvm.usu.edu/en/nav/frames_asid_105_g_2_t_1.html

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This is a great interactive online quiz about indentifying fractions. Choose "Identify" to name the fraction when shown its picture. Choose "Fill" to fill in the picture when shown the fraction. Choose "Level" to change how big the denominator can be.

http://www.thatquiz.org/tq/practice.html?idfraction

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*This web site has five interactive lessons on visualizing fractions including fractional shaded shapes and placing fractions on a number line. Additionally support materials are included to help explain the concepts.

http://www.bgfl.org/bgfl/custom/resources_ftp/client_ftp/ks2/maths/fractions/index.swf

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This web site uses colorful animation and great explanations to teach about fractions, visualizing fractions, and equivalent fractions. After the instruction, the students can take an online quiz to assess their understanding.

http://www.bbc.co.uk/schools/ks2bitesize/maths/number/fractions/play.shtml

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This is a simple activity where students choose the correct fraction to match a picture.

http://www.primarygames.com/fractions/start.htm

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In this online interactive activity the student tries to find 13 unique ways to shade in a square to represent a half. This helps them understand that a fraction can be shown in many different ways and still be the same.

http://pbskids.org/cyberchase/games/fractions/index.html

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This interactive web site has the student name a fraction that is shown with a shaded figure. Infinite new fraction-shapes can be created and the game offers helpful suggestions when a student misses a problem.

http://nlvm.usu.edu/en/nav/frames_asid_104_g_1_t_1.html

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This online manipulative allows the user to divide a square or circle into as many pieces as they want, and then shade in whatever pieces they wish. All the while, a written fraction is shown that corresponds to the current figure. Great for teaching the meaning of a fraction.

http://nlvm.usu.edu/en/nav/frames_asid_102_g_1_t_1.html

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This online manipulative tells the student what fraction to make, then has then divide up a shape and color its pieces to match the requested fraction. New problems are randomly generated and help is given for wrong answers.

http://nlvm.usu.edu/en/nav/frames_asid_103_g_1_t_1.html

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6. Compare and order commonly used fractions and mixed

numbers using number lines, models (such as fraction

circles or bars), points of reference (such as more or less

than ½ ), and equivalent forms using physical or visual

models.

*In this game you help Ulani the pelican catch fish by comparing fractions in picture form and numeric form.

http://www.iknowthat.com/com/App?File=FractionGame.htm&Type=S&App=FractionGame&Topic=greaterthanlessthan&SkipGuestWarning=true

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Graphically determine the value of two given fractions represented as points on a number line. Graphically find a fraction whose value is between the two given fractions (using an arrow on the number line as a guide), then determine its value. Be sure to click the "Help" tab to get instructions.

http://www.shodor.org/interactivate/activities/FractionPointer/

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Visualize fractions by coloring in the appropriate portions of either a circle or a square, then order those fractions from least to greatest. Be sure to click the "Help" tab to get instructions.

http://www.shodor.org/interactivate/activities/FractionSorter/

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This interactive website gives the student three fractions between 0 and 1, and has the student order them by dragging the fractions to their correct locations on a number line.

http://www.quizville.com/numberLineValue(fractions).php

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This virtual manipulative teaches about comparing fractions. First, you are given two randomly generated fractions which are modeled as parts of a circle or square. Then you have change the number of divisions in the models to give the fractions equal denominators. Next you locate the fractions on a number line. Finally you can identify another fraction that falls between the two.

http://nlvm.usu.edu/en/nav/frames_asid_159_g_2_t_1.html

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Graphically determine the value of two given fractions represented as points on a number line. Graphically find a fraction whose value is between the two given fractions, then determine its value. Be sure to click the "Help" tab to get instructions.

http://www.shodor.org/interactivate/activities/FractionFinder/

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Graphically determine the value of two fractions you have chosen (which are represented as points on a number line). Graphically find a fraction whose value is between your two fractions, then determine its value. Be sure to click the "Help" tab to get instructions.

http://www.shodor.org/interactivate/activities/BoundFractionFinder/

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Graphically determine the value of two fractions you have chosen (which are represented as points on a number line). Graphically find a fraction whose value is between your two fractions (using an arrow on the number line as a guide), then determine its value. Be sure to click the "Help" tab to get instructions.

http://www.shodor.org/interactivate/activities/BoundFractionPointer/

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7. Recognize and use decimal and fraction concepts and

notations as related ways of representing parts of a whole

or a set; e.g., 3 of 10 marbles are red can also be described

as 3/10 and 3 tenths are red.

*This is a matching game where students can match the fraction with its corresponding decimal. The computer keeps track of the number of moves the player makes.

http://www.hbschool.com/activity/con_math/g03c23.html

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This is a great interactive online quiz about writing fractions, decimals, percents, and ratios as fractions in lowest terms. Use the buttons to choose "Fractions", "Decimals", "Percents", or "Ratios", and choose "Level" for the difficulty.

http://www.thatquiz.org/tq/practice.html?reducef

Meaning of Operations

8. Model, represent and explain multiplication; e.g.,

repeated addition, skip counting, rectangular arrays and

area model. For example:

a. Use conventional mathematical symbols to

write equations for word problems involving

multiplication.

b. Understand that, unlike addition and subtraction,

the factors in multiplication and division may have

different units; e.g., 3 boxes of 5 cookies each.

This online manipulative allows the user to demonstrate addition, subtraction, multiplication, and division using a number line. New problems are generated randomly and then animated on a number line to show the solution. Activities for each operation are listed on the site.

http://nlvm.usu.edu/en/nav/frames_asid_197_g_2_t_1.html?open=activities

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This online activity is great for practicing all levels of arithmetic. Choose from addition, subtraction, multiplication, and division. Pick if you want a picture to model the problem or not. Decide if you wish to just practice or play against a clock.

http://www.mcps.k12.md.us/schools/thurgoodmarshalles/java-applets/Mathflash/Mathflash_small.html

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Skip Counting - This interactive website has the student click on all the multiples of a number within a 100 grid. Great way to visualize multiplication.

http://www.quizville.com/skipCount(multiples).php

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This simple activity is a counting machine. Students can start at any number. They can choose the interval in which the machine will count. Then the students can have the machine count. There are many uses for this activity, either with individuals, pairs or groups. They can use it as a demonstration or guess the next number and then use the machine to check themselves. This is a simple concept but one the students will enjoy.

http://www.ictgames.com/countingwithstick.html

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*This is an excellent modeling site that teaches how to solve word problems involving multiplication, division, remainders, multi-step problems, and algebraic situations.

http://www.thinkingblocks.com/ThinkingBlocks_MD/TB_MD_Main.html

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*This web site uses colorful animation and great explanations to teach about multiplication strategies. After the instruction, the students can take an online quiz to assess their understanding.

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9. Model, represent and explain division; e.g., sharing

equally, repeated subtraction, rectangular arrays and

area model. For example:

a. Translate contextual situations involving division

into conventional mathematical symbols.

b. Explain how a remainder may impact an answer in a

real-world situation; e.g., 14 cookies being shared by

4 children.

*This web site uses colorful animation and great explanations to teach about division strategies. After the instruction, the students can take an online quiz to assess their understanding.

http://www.bbc.co.uk/schools/ks2bitesize/maths/number/division/play.shtml

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This online manipulative allows the user to demonstrate addition, subtraction, multiplication, and division using a number line. New problems are generated randomly and then animated on a number line to show the solution. Activities for each operation are listed on the site.

http://nlvm.usu.edu/en/nav/frames_asid_197_g_2_t_1.html?open=activities

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This online activity is great for practicing all levels of arithmetic. Choose from addition, subtraction, multiplication, and division. Pick if you want a picture to model the problem or not. Decide if you wish to just practice or play against a clock.

http://www.mcps.k12.md.us/schools/thurgoodmarshalles/java-applets/Mathflash/Mathflash_small.html

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*This is an excellent modeling site that teaches how to solve word problems involving multiplication, division, remainders, multi-step problems, and algebraic situations. For each type of word problem, there is a narrated video that shows how to model and solve that sort of problem using virtual "Thinking Blocks". Then randomly generated problems of that type are presented. The student then gets to model and solve the problem, while getting feedback, guidance, and reinforcement at each step. The six problem types cover Multiplication - One Step, Multiplication - Two Steps, Multiplication - Two Steps - Advanced, Division - Partitive and Measurement, Division - Interpreting the Remainder, and Algebraic Problems. A final seventh section shows how draw these models on paper to apply these techniques when no longer at the site.

http://www.thinkingblocks.com/ThinkingBlocks_MD/TB_MD_Main.html

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10. Explain and use relationships between operations, such

as:

a. relate addition and subtraction as inverse operations;

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### Checking Subtraction  Students explore the inverse relationship of addition and subtraction.

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b. relate multiplication and division as inverse

operations;

### Inverse Relationship of Multiplication and Division An interactive math lesson on the inverse relationship of additionandsubtraction.

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Fact Family II - Game to master the relationship between multiplication and division.

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An interactive math lesson on the relationship of addition and multiplication.

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Multiplication is repeated addition.  An interactive math lesson on the relationship of addition and multiplication.

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Animal Legs - Use repeated addition as a strategy to solve multiplication story problems,

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d. relate subtraction to division (repeated subtraction).

Division and Subtraction
An interactive math lesson on the relationship of subtraction and division.

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11. Model and use the commutative and associative

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Properties of Multiplication

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Computation and Estimation

12. Add and subtract whole numbers with and without

regrouping.

*In this game students choose easy, medium, and hard addition problems to solve in an Egyptian pyramid design. When they get 500 points, the mummy's tomb opens.

http://www.amblesideprimary.com/ambleweb/mentalmaths/pyramid.html

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Subtracting 2-Digit Numbers With Regrouping

*This excellent online activity teaches subtracting 2-digit number with regrouping. The student is walked through the process step by step, having to fill in each number along the way. If they get stuck, there is a review button that gives them a hint.

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*This excellent online activity teaches adding 3-digit numbers. The student is walked through the process step by step, having to fill in each number along the way. If they get stuck, there is a review button that gives them a hint.

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Arithmetic Quiz
This is a great interactive online quiz about basic arithmetic. Use the buttons to choose "Addition", "Subtraction", "Multiplication", or "Division", and several other options such as "Negatives", "Triplets", and "Level" for the difficulty.

http://www.thatquiz.org/tq/practice.html?arithmetic

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Count On Convict game

This cute online game from ICT Games teaches about subtraction through counting on. In the game, the student tries to catch an escaping prisoner by solving a subtraction problem using the "counting-on" process. The student is forced to do each step which helps teach the method wonderfully.

http://www.ictgames.com/countonconvict.html

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http://nlvm.usu.edu/en/nav/frames_asid_154_g_1_t_1.html

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Base Blocks Subtraction
This online manipulative allows students to subtract with borrowing using base ten blocks that can be combined and split. You can do random problems or create your own.

http://nlvm.usu.edu/en/nav/frames_asid_155_g_1_t_1.html

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This excellent online activity teaches adding 2-digit number without regrouping. The student is walked through the process step by step, having to fill in each number along the way. If they get stuck, there is a review button that gives them a hint.

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This excellent online activity teaches adding 2-digit number with regrouping. The student is walked through the process step by step, having to fill in each number along the way. If they get stuck, there is a review button that gives them a hint.

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Subtracting 2-Digit Numbers Without Regrouping

This excellent online activity teaches subtracting 2-digit number without regrouping. The student is walked through the process step by step, having to fill in each number along the way. If they get stuck, there is a review button that gives them a hint.

13. Demonstrate fluency in multiplication facts through 10 and corresponding division facts.

Multiplication Facts Power Point – Multiplication Facts are easiest to learn when you find patterns.

http://www.lexington1.net/technology/instruct/ppts/mathppts/number operations/Multiplication.ppt

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### Multiplication - Natural Math Patterns for multiplication facts.

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The Table Trees
In this online game students choose a number to serve as a factor in multiplication tables. Then they fill in the missing number (either the product or one factor) in the equations.

http://www.amblesideprimary.com/ambleweb/mentalmaths/tabletrees.html

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Multiplication Exercises at Free Rice
Practice multiplication facts and have food donated to the hungry. For each question, if you get it right, you get a harder question. If you get it wrong, you get an easier question. (There are two levels.) For each answer you get right, 10 grains of rice are donated to the United Nations World Food Program.

http://www.freerice.com/index.php?&s=Multiplication Table

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Picture Math Puzzles
In these games you click on squares in a grid to pick two numbers that multiply together to make a needed answer. After each correct answer the used squares disappear leaving you with less to use.

http://www.thekidzpage.com/learninggames/mathgames/index.htm

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Timernator
How many computer-generated arithmetic problems
can you answer in 60 seconds? Pick from addition, subtraction, multiplication, and division. Also choose how large of numbers to use. Excellent for improving computation speed.

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Mathflash Game
This online activity is great for practicing all levels of arithmetic. Choose from addition, subtraction, multiplication, and division. Pick if you want a picture to model the problem or not. Decide if you wish to just practice or play against a clock.

http://www.mcps.k12.md.us/schools/thurgoodmarshalles/java-applets/Mathflash/Mathflash_small.html

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Mystery Picture: Multiplication Table Practice

This cute online game lets students practice their multiplication facts up to 9X9. As students answer problems correctly, a picture gets revealed piece by piece. The problems are random and there are many pictures to uncover, so the game had lots of replay value.

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Mystery Picture: Division Facts up to 100
This cute online game lets students practice their division facts with factors from 1 to 9. As students answer problems correctly, a picture gets revealed piece by piece. The problems are random and there are many pictures to uncover, so the game had lots of replay value.

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Arithmetic Quiz
This is a great interactive online quiz about basic arithmetic. Use the buttons to choose "Addition", "Subtraction", "Multiplication", or "Division", and several other options such as "Negatives", "Triplets", and "Level" for the difficulty.

http://www.thatquiz.org/tq/practice.html?arithmetic

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14. Multiply and divide 2- and 3-digit numbers by a

single-digit number, without remainders for division.

Division step-by-step lesson
This interactive lesson uses cute graphics and step-by-step instructions to teach children to divide 2-digit by 1-digit numbers.

http://www.dositey.com/muldiv/divml1.htm

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Multiplying 2-Digit Numbers Without Regrouping
This excellent online activity teaches multiplying 2-digit number without regrouping. The student is walked through the process step by step, having to fill in each number along the way. If they get stuck, there is a review button that gives them a hint.

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Multiplying 2-Digit Numbers With Regrouping
This excellent online activity teaches multiplying 2-digit number with regrouping. The student is walked through the process step by step, having to fill in each number along the way. If they get stuck, there is a review button that gives them a hint.

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Arithmetic Quiz
This is a great interactive online quiz about basic arithmetic. Use the buttons to choose "Addition", "Subtraction", "Multiplication", or "Division", and several other options such as "Negatives", "Triplets", and "Level" for the difficulty.

http://www.thatquiz.org/tq/practice.html?arithmetic

15. Evaluate the reasonableness of computations based upon

operations and the numbers involved; e.g., considering

relative size, place value and estimates.

### Be Reasonable – Word Documents with evaluating the reasonableness activities.

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Measurement

1. Identify and select appropriate units for measuring:

a. length – miles, kilometers and other units of measure as

appropriate;

b. volume (capacity) – gallons;

c. weight – ounces, pounds, grams, or kilograms;

d. temperature – degrees (Fahrenheit or Celsius).

Measuring tools - Select measurement tools for real-world measuring situations

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Which Tool? - Click on the correct tool to measure the object.

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2. Establish personal or common referents to include additional units;

e.g., a gallon container of milk; a postage stamp is about a square

inch.

Word Documents with establishing personal or common referents activities.

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3. Tell time to the nearest minute and find elapsed time using a

calendar or a clock.

Smiley Clock

Create a face for Smiley Clock by telling the correct time. Tell time by picking one from three choices. The clock gains eyes, nose, mouth and hair if you select the correct time.

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Identifying Time
It's a digital world, but it's still important to know how to tell time on a clock face! Test your clock reading skills here. Be sure to click the Next arrow to see all of the clock activities.

http://www.kidsolr.com/earlychildhood/page4.html

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Elapsed Time
Students find how many hours and minutes pass during an activity.

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Learn to Tell Time
These interactive games help students practice telling time on the hour, on the half hour and on the minute. In the games, students must put the hour hand in between hours when required. It also has great sound effects.

http://www.netrover.com/~kingskid/timeindex1.htm

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Clock Wise
Practice reading a clock, input times for the clock to display, or let the clock generate random times for you to read. Choose from three difficulty levels (Level 1 = nearest half hour, Level 2 = nearest 5 minutes, Level 3 = nearest minute). Be sure to click the "Help" tab to get instructions.

http://www.shodor.org/interactivate/activities/ClockWise/

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Elapsed Time
Practice finding elapsed time given a starting time and an ending time, using analog or digital clocks, and with three levels (Level 1 = nearest half hour, Level 2 = nearest 5 minutes, Level 3 = nearest minute). Be sure to click the "Help" tab to get instructions.

http://www.shodor.org/interactivate/activities/ElapsedTime/

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Time Quiz from ThatQuiz
This is a great interactive online quiz about telling time on an analog clock or telling elapsed time between two clocks. Choose "Level" to change the difficulty.

http://www.thatquiz.org/tq/practice.html?time

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4. Read thermometers in both Fahrenheit and Celsius scales.

Be a Scientist

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Hot Stuff

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Thermometer

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Temperature Convertor

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5. Estimate and measure length, weight and volume (capacity), using

metric and U.S. customary units, accurate to the nearest ½ or 1/4 unit as appropriate.

Measure It game
In this game students measure an object in inches or centimeters, from easy to difficult.

http://www.funbrain.com/measure/index.html

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Estimator
This online activity has the student estimate length, quantity, or area. They can control how close they need to be to the true answer, how difficult the problem is, and if a grid is given to help with the estimate. Be sure to click the "Help" tab to get instructions.

http://www.shodor.org/interactivate/activities/Estimator/

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Using a Ruler
This interactive website has students read a random position on a ruler to the nearest 1/8. Note: the students have to type out the full measure (such as 2 and 1/4 inches) so correct spelling is needed.

http://www.quizville.com/usingRuler.php

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Virtual Ruler
This interactive website gives the student a line of random length. Then the student has to move a virtual ruler to measure the length of the line segment to the nearest 1/8. Finally the student needs to type in correct length (correct spelling is required).

http://www.quizville.com/measuring.php

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*Measurement Quiz from ThatQuiz
This is a great interactive online quiz about measurement using centimeters or inches. In the quiz you measure a variety of colorful fish with a virtual ruler. Choose "Level" to change the difficulty and level of precision.

http://www.thatquiz.org/tq/practice.html?measurement

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6. Use appropriate measurement tools and techniques to construct a

figure or approximate an amount of specified length, weight or

volume (capacity); e.g., construct a rectangle with length 2 ½ inches

and width 3 inches, fill a measuring cup to the 3/4 cup mark.

Guidance for Rulers for Grade 3 Mathematics Achievement Test

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Can You Fill it?

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Huge List of Measurement Activities

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7. Make estimates for perimeter, area and volume using links, tiles,

cubes and other models.

Estimator
This online activity has the student estimate length, quantity, or area. They can control how close they need to be to the true answer, how difficult the problem is, and if a grid is given to help with the estimate. Be sure to click the "Help" tab to get instructions.

http://www.shodor.org/interactivate/activities/Estimator/

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Shape Explorer
In this online activity students are shown shapes on a grid and asked to calculate areas and perimeters of the shapes.

http://www.shodor.org/interactivate/activities/perimeter/index.html

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Tables and Chairs
Explore rectangular and straight-line arrangements of tables, calculating the number of chairs needed to surround different arrangements. This models the concept of finding the perimeter. Be sure to click the "Help" tab to get instructions.

http://www.shodor.org/interactivate/activities/Chairs/

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Perimeter, Area, Surface Area, and Volume Quiz from ThatQuiz
This is a great interactive online quiz about perimeter, area, surface area, and volume. You can choose the type of measurement to find and the types of shapes to use. Choose "Level" to change the difficulty.

http://www.thatquiz.org/tq/practice.html?geometry

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Geometry and Spatial Sense

1. Analyze and describe properties of two-dimensional shapes and

three-dimensional objects using terms such as vertex, edge, angle,

side and face.

Platonic Solids - National Library of Virtual Manipulatives
This online activity allows you to experiment with five platonic solids, counting their faces, edges, and vertices.

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Prisms, Pyramids, Cones, and Cylinders
This web site uses pictures and clear explanations to teach about Prisms, Pyramids, Cones, and Cylinders. When done with the review, students can take an interactive quiz over what they learned.

http://www.studyzone.org/mtestprep/math8/f/pyramidl.cfm

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Three Dimensional Review
This web site provides a good introduction (or review) of what a three-dimensional object is. After the review, students can take an interactive quiz where they distinguish between two- and three-dimensional objects.

http://www.studyzone.org/mtestprep/math8/f/threedimensionall.cfm

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Polygons Presentation
This PowerPoint presentation gives a good explanation of types of polygons, sum of their interior angles, and number of diagonals.

http://www.ih.k12.oh.us/MSDunlap/Geometry/polygons.ppt

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Shifting Shapes
This cute online game from ICT Games teaches about 2D shapes. In the game you move a spotlight over the shape to reveal just a portion at a time. See if you can determine what the mystery shape is. If needed, you can change the size and shape of your spotlight. When done, click the "eye" to reveal the shape and see if you were right.

http://www.ictgames.com/Y1shape.html

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3D Shifting Shapes
This cute online game from ICT Games teaches about 3D shapes. In the game you move a spotlight over the shape to reveal just a portion at a time. See if you can determine what the mystery shape is. If needed, you can change the size and shape of your spotlight. When done, click the "eye" to reveal the shape and see if you were right.

http://www.ictgames.com/Y2shape.html

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2. Identify and describe the relative size of angles with respect to right

angles as follows:

a. Use physical models, like straws, to make different sized angles

by opening and closing the sides, not by changing the side

lengths.

b. Identify, classify and draw right, acute, obtuse and straight

angles.

*Bitesize - Angles
This web site uses colorful animation and great explanations to teach about types of angles, and the sum of the angles in triangles and quadrilaterals. After the instruction, the students can take an online quiz to assess their understanding.

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What's My Angle?
This is a great collection of interactive angle activities including estimating angles, measuring angles, and creating angles. These are great for individual student use or a whole class activity. Be sure to click the "Skip Intro" button to begin using the tools.

http://www.amblesideprimary.com/ambleweb/mentalmaths/protractor.html

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Kinds of Angles
This web site uses clear explanations and diagrams to teach about kinds of angles, including right, acute, and obtuse. After the review, students can take an interactive quiz on the material.

http://www.studyzone.org/mtestprep/math8/d/anglesl.cfm

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3. Find and name locations on a labeled grid or coordinate system;

e.g., a map or graph.

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.

http://www.shodor.org/interactivate/activities/pcoords/index.html

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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.

http://www.shodor.org/interactivate/activities/pmaze/index.html

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This is an Excel spreadsheet activity. Eleven sites of interests are shown on a 20 by 20 grid map of a city. The students are to determine the coordinates of the spots using Excel's rows and columns.

http://www.northcanton.sparcc.org/%7Etechnology/excel/files/map_coordinates.html

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Coordinates game
This interactive online game displays a 14 by 14 first quadrant grid and asks the student to find specified points when given the coordinates.
To access the game click the flash symbol "f" after the resource titled "Coordinates (Gareth Pitchford).

http://www.primaryresources.co.uk/maths/mathsE6.htm

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Coordinates II game
In this online game, the student is shown a 5 by 5 first quadrant grid. Then a point is shown on the grid and the student has to identify the coordinates. A new point is given after each is done.
To access the game click the flash symbol "f" after the resource titled "Coordinates II (Gareth Pitchford)"

http://www.primaryresources.co.uk/maths/mathsE6.htm

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What's the Point?
In this online activity students identify points on a grid. There are three difficulty levels being identifying points in the first quadrant, identifying points on the entire grid, and clicking on the grid to locate coordinates.

http://www.funbrain.com/co/index.html

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Graphing Points Quiz from ThatQuiz
This is a great interactive online quiz about plotting points and identifying points on a grid. You can choose to "Identify" or "Plot" points, and you can choose just "Quadrant One" or "All Quadrants". Choose "Level" to change the difficulty.

http://www.thatquiz.org/tq/practice.html?idpoints

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Hurkle grid game
In this online game the student tries to locate a creature named Hurkle by guessing its location on a first-quadrant grid. After each guess the student is told the compass direction they need to move to get closer to Hurkle. Make sure you have the latest version of Shockwave.

http://www.aimsedu.org/aimskids/ipuzzles/hurkle/hurkle.html

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4. Draw lines of symmetry to verify symmetrical two-dimensional

shapes.

### Symmetry -

This game will test your understanding of symmetry.

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### Symmetry Activity

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Symmetry PowerPoints

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5. Build a three-dimensional model of an object composed of cubes;

e.g., construct a model based on an illustration or actual object.

### Stacking Cubes – PDF Lesson Plan

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Cubes Fill a box with cubes, rows of cubes, or layers of cubes. The number of unit cubes needed to fill the entire box is known as the volume of the box. Can you determine a rule for finding the volume of a box if you know its width, depth, and height?

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# Building Cubes - Build the same figure from color cubes which is built from grey ones. Clicking on cars, you can choose new figures. Try to use all cubes in every figure.

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Patterns, Functions and Algebra Standard

1. Extend multiplicative and growing patterns, and describe the

pattern or rule in words.

Bitesize - Number Patterns
This web site uses colorful animation and great explanations to teach about number patterns. After the instruction, the students can take an online quiz to assess their understanding.

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2. Analyze and replicate arithmetic sequences with and without a

calculator.

Slider Math
Number Pattern Sequences Fun Game

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Number Cracker
Help Mr. Cracker obtain the secret code before the insidious Prof. Soup catches him by guessing what number comes next in a series of numbers.

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BBC Bitesze

A fun and interactive animated game to help children with number sequences.

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Spooky Sequence

One of the ghosts in the spooky sequence is missing a number. Click on the number buttons along the bottom of the main game screen to add a number to the ...

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3. Use patterns to make predictions, identify relationships, and solve

problems.

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

http://www.shodor.org/interactivate/activities/fm/index.html

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Whole Number Cruncher
Give input to the Whole Number Cruncher and try to guess what it did from the output it generates. This activity only generates multiplication and addition functions to avoid outputting any negative numbers. Be sure to click the "Help" tab to get instructions.

http://www.shodor.org/interactivate/activities/WholeNumberCruncher/

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Function Machine
This online tool has you put in a number, and then it spits out a result. Your goal is to determine what the function machine is doing to the number. You can choose the type of function it uses or let it be random.

http://www.amblesideprimary.com/ambleweb/mentalmaths/functionmachines.html

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Mystery Functions
This is an Excel spreadsheet activity for the whole class or individual student use. There are 20 different mystery formulas in this spreadsheet. For each one the student enters several numbers for the "Input" and examines what comes out for the "Result", trying to determine each function by looking for patterns.

http://www.northcanton.sparcc.org/%7Etechnology/excel/files/mystery_functions.html

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4. Model problem situations using objects, pictures, tables, numbers,

letters and other symbols.

Bitesize - Problem Solving
This web site uses colorful animation and great explanations to teach about problem solving strategies. After the instruction, the students can take an online quiz to assess their understanding. The only drawback is the use of English pounds instead of American dollars.

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Thinking Blocks
This is an excellent modeling site that teaches how to solve word problems. For each type of word problem, there is a narrated video that shows how to model and solve that sort of problem using virtual "Thinking Blocks". Then randomly generated problems of that type are presented. The student then gets to model and solve the problem, while getting feedback, guidance, and reinforcement at each step.

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5. Write, solve and explain simple mathematical statements, such as

7 + , > 8 or ! + 8 = 10.

Genius Boxing
Look at the number equation that appears at the bottom of the screen. Click on <, >, or = to make the number equation true.

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Fill-in Equation - supply the missing number in subtraction equations

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Missing Digits - Multiplication problems have missing digits in various places, you must supply the correct digit. Sixteen levels of difficulty are available. This works great on an interactive whiteboard.

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# Solving an Equation for a Missing Value -video

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6. Express mathematical relationships as equations and inequalities.

Thinking Blocks
This is an excellent modeling site that teaches how to solve word problems. For each type of word problem, there is a narrated video that shows how to model and solve that sort of problem using virtual "Thinking Blocks".

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7. Create tables to record, organize and analyze data to discover

patterns and rules.

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

http://www.shodor.org/interactivate/activities/fm/index.html

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Whole Number Cruncher
Give input to the Whole Number Cruncher and try to guess what it did from the output it generates. This activity only generates multiplication and addition functions to avoid outputting any negative numbers. Be sure to click the "Help" tab to get instructions.

http://www.shodor.org/interactivate/activities/WholeNumberCruncher/

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Mystery Functions
This is an Excel spreadsheet activity for the whole class or individual student use. There are 20 different mystery formulas in this spreadsheet. For each one the student enters several numbers for the "Input" and examines what comes out for the "Result", trying to determine each function by looking for patterns.

http://www.northcanton.sparcc.org/%7Etechnology/excel/files/mystery_functions.html

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Function Machine
This online tool has you put in a number, and then it spits out a result. Your goal is to determine what the function machine is doing to the number. You can choose the type of function it uses or let it be random.

http://www.amblesideprimary.com/ambleweb/mentalmaths/functionmachines.html

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8. Identify and describe quantitative changes, especially those

involving addition and subtraction; e.g., the height of water in a

glass becoming 1 centimeter lower each week due to evaporation.

Data Picking
In this online activity you click on 10 different students to get their answers to a question. Then you record their responses as tallies or data in a chart. Finally you pick which one of four graphs is the correct representation of the data. The graphs can include circle graphs, bar charts, and scatter plots.

http://www.bbc.co.uk/education/mathsfile/shockwave/games/datapick.html

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Fill ‘er Up
Two containers with different shapes are shown to the class. Each time a measure of water is poured into the container, the number of this measure (x) and the resulting height of the water (y) are plotted on a graph as an ordered pair.

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Data Analysis and Probability Standard

1. Collect and organize data from an experiment, such as recording

and classifying observations or measurements, in response to a question posed.

Data Picking
In this online activity you click on 10 different students to get their answers to a question. Then you record their responses as tallies or data in a chart. Finally you pick which one of four graphs is the correct representation of the data. The graphs can include circle graphs, bar charts, and scatter plots. There are three levels of difficulty.

http://www.bbc.co.uk/education/mathsfile/shockwave/games/datapick.html

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2. Draw and interpret picture graphs in which a symbol or picture

represents more than one object.

Pictograph Game:  Use the pictograph to answer the questions in this quiz.

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Let's Graph

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3. Read, interpret and construct bar graphs with intervals greater than

one.

Bitesize - Interpreting Data
This web site uses colorful animation and great explanations to teach about interpreting different types of graphs. After the instruction, the students can take an online quiz to assess their understanding.

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Bar Chart - National Library of Virtual Manipulatives
This virtual manipulative lets you create a bar graph right in your web browser. You can specify the number of columns and rows, label the items and the chart, and view totals or percentages.

http://nlvm.usu.edu/en/nav/frames_asid_190_g_1_t_1.html

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Amblegraph
This online tools lets you create simple bar charts in your web browser. Children can use it for very quick surveys or a teacher can use it to model the construction of a bar graph with a class or group. Most elements are editable.

http://www.amblesideprimary.com/ambleweb/mentalmaths/grapher.html

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Bar Graph
This is an Excel spreadsheet activity for a whole class or individual students. A generic 8 item bar graph can be dynamically altered with custom data and labels.

http://www.northcanton.sparcc.org/%7Etechnology/excel/files/bar_graph_8.html

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Bar Graphs
This web site uses clear explanations and diagrams to teach how to read and create bar graphs. After the review, students can take an interactive quiz on the material.

http://www.studyzone.org/mtestprep/math8/f/bargraphl.cfm

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Create a Graph
This is an interactive web site that lets the user create high-quality graphs including bar, line, area, pie, and XP graphs. You can edit many features of the graphs including labels, colors, fonts, shapes, and more. Finally you can either print out your finished graph or can download it to your computer.

http://nces.ed.gov/nceskids/createagraph/

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Graphs Quiz from ThatQuiz
This is a great interactive online quiz about reading and interpreting graphs. Choose "Bar Graphs" or "Line Graphs", and optionally check "Mean", "Median", or "Mode" if you wish to include those types of questions. Finally choose "Easier Content", "Normal Content", or "Level" to adjust the difficulty.

http://www.thatquiz.org/tq/practice.html?graphs

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Bitesize - Interpreting Data
This web site uses colorful animation and great explanations to teach about interpreting different types of graphs. After the instruction, the students can take an online quiz to assess their understanding.

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4. Support a conclusion or prediction orally and in writing, using

information in a table or graph.

Word Document – Lesson

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# Ohio's Academic Content Standards in Mathematics

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5. Match a set of data with a graphical representation of the data.

Data Picking
In this online activity you click on 10 different students to get their answers to a question. Then you record their responses as tallies or data in a chart. Finally you pick which one of four graphs is the correct representation of the data. The graphs can include circle graphs, bar charts, and scatter plots. There are three levels of difficulty.

http://www.bbc.co.uk/education/mathsfile/shockwave/games/datapick.html

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6. Translate information freely among charts, tables, line plots, picture

graphs and bar graphs; e.g., create a bar graph from the information

in a chart.

Ice Cream Graphing
The  object is to construct a pie chart and bar graph based on specific ice cream orders.

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Graphing Drills

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7. Analyze and interpret information represented on a timeline.

Wilbur’s Day
Students will review a timeline of events that take place throughout Wilbur's day and then answer questions about Wilbur's day.

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Timeline

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8. Identify the mode of a data set and describe the information it gives

ReviseWise - Mode, median, mean
This web site uses colorful animation and great explanations to teach about mean, median, and mode. After the instruction, the students can take an online quiz to assess their understanding.

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Graphs Quiz from ThatQuiz
This is a great interactive online quiz about reading and interpreting graphs. Choose "Bar Graphs" or "Line Graphs", and optionally check "Mean", "Median", or "Mode" if you wish to include those types of questions. Finally choose "Easier Content", "Normal Content", or "Level" to adjust the difficulty.

http://www.thatquiz.org/tq/practice.html?graphs

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9. Conduct a simple experiment or simulation of a simple event, record

the results in a chart, table or graph, and use the results to draw

conclusions about the likelihood of possible outcomes.

Box Model - National Library of Virtual Manipulatives
This online activity models a probability experiment of pulling numbers from a box. First, the user decides which numbers, and how many of each, are in a box. Then the computer begins randomly drawing numbers and keeping totals. Superimposed can be a graph of the expected theoretical probabilities. This is excellent to show real v. theoretical probability, and the effect of the number of trials on the results.

http://nlvm.usu.edu/en/nav/frames_asid_146_g_3_t_5.html?open=instructions

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10. Use physical models, pictures, diagrams and lists to solve problems

involving possible arrangements or combinations of two to four

objects.

Disguise Combos game
In this online interactive game the student determines by experiment how many possible disguise combinations there are, given several pieces to work with. After each round, the mathematical formula for combinations is used for the problem.

http://pbskids.org/cyberchase/games/combinations/combinations.html

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