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Bridges in Mathematics Grade 4

Unit 1 – Multiplicative Thinking

Arithmetic Four – Two player game in which students place pieces on the board by answering math problems. Choose from addition, subtraction, multiplication, division. Like Connect 4. Uses Java.

Drag Race Division – Race against the computer or other students by clicking on the correct quotient in a series of division problems. Also try a similar game, Demolition Division.

Math Madness – Fill in the addend, subtrahend or factor to score points in this basketball arcade game.

Meteor Multiplication – As meteors with multiplication problems approach a star station showing a given product, fire them down by clicking on the expression that goes with the product.

Multiplication Grand Prix – Race against the computer or other students by clicking on the correct product in a series of multiplication problems. Also try a similar game, Tractor Multiplication.

Sum Sense Multiplication – Drag and drop number cards–with unknowns in all positions–to make a multiplication equation.

Factorize – Find all the factorizations of a number and draw the rectangular arrays on a grid. Also see Factorize 2.

Factors & Multiples with Dick and Dom – In this humorous Dick and Dom presentation from the BBC, players must find factors and multiples in a series of short games.

Ghost Blasters – Blast every ghost that displays a multiple of the number you choose. Game may be set for multiples of any number from 2-20.

Prime Composite Applet – Explore prime and composite numbers by clicking on the +/- button to locate a given number. View different visuals of the number by reordering the circled numbers–the prime factorization–on the right side.

Prime Time – Earn points by landing on prime number spaces. The game also includes probability as players must choose which random number generator to use. On the Calculation Nation homepage, use “guest pass” to access the game list and play against the computer. Click on the title, Prime Time.

Speed Grid Challenge – Race against the clock to find factors to match the product. Set the number of questions and length of game. Includes a few 1 digit by 2 digit problems.

Table Numbers – Choose a factor from 2-9, then click on one of three numbers that represents a multiple of the chosen factor.

Factor Dazzle – Click on all the factors of target numbers set by opponents. Use “guest pass” to enter game list and play against the computer or register (free) to play against other students online.

Times Square – Players race to get 4 products in a row on the game board. Use “Guest Pass” to enter and play against computer.

At the Vets – Use online tools to measure the height, length, and weigh of animals at the vets. Uses centimeters and grams. TESiboard.

Build a Shed – Explore unit conversions within the metric system as you build a shed, converting between mm, cm, and meters. Build in 3 stages with 5 questions each.

Horrendous Soup – Click and drag ingredients into a pot to make horrendous soup. Then view a recipe in which mass, capacity, and the distance of the ingredients must be converted to different metric measurements in order to get the recipe right. View an instructional video for the game.

Matching Math: Metric Length – Click on cards to show matching measurements. For example, click on “1000 meters” and “1 kilometer.”

Matching Math: Metric Weight – Click on cards to show matching measurements in metric weight: grams, milligrams, kilograms.

Measure Capacity – Complex – Pour the contents of containers into a measuring jug and read milliliters on the metric scale. Set the program for simple or complex scale readings. TESiboard.

Measurement Mania: Metric – Convert metric measurements and drag the pointer on the ruler to demonstrate the correct answer.

Mostly Postie – Click and drag package onto scales and enter weight in grams or kilograms.

Reading Weight, Length, and Height – Read the scales to measure metric weight, length and height, then set a counter with your answer.  TESiboard.

Unit 2 – Multi-Digit Multiplication & Early Division

Build a Shed – Explore unit conversions within the metric system as you build a shed, converting between mm, cm, and meters. Build in 3 stages with 5 questions each.

Measurement Mania: Metric – Convert metric measurements and drag the pointer on the ruler to demonstrate the correct answer.

Measurement Workshop – Using the “build” option, select a mode (whole numbers, whole and half numbers, decimals, or fractions), then click on the preferred type of measurement (imperial or metric) and use rulers to build a ruler city. In “play” mode, the buildings are created by the computer and players must measure them. Watch an instructional video here.

Sum Sense Division – Drag and drop number cards–with unknowns in all positions–to make a division equation.

Sum Sense Multiplication – Drag and drop number cards–with unknowns in all positions–to make a multiplication equation.

Arithmetic Four – Two player game in which students place pieces on the board by answering math problems. Choose from addition, subtraction, multiplication, division. Like Connect 4. Uses Java.

Math Magician – Using this timed program, student practice facts, selecting from addition, subtraction, multiplication & division. You can specify exact facts to practice. Example: practice +3 addition facts, 20 questions in 1 minute.

Number Sense – Arrange 3 digits to create a 3-digit number larger than a given 3-digit number.

At the Vets – Use online tools to measure the height, length, and weigh of animals at the vets. Uses centimeters and grams. TESiboard.

Build a Shed – Explore unit conversions within the metric system as you build a shed, converting between mm, cm, and meters. Build in 3 stages with 5 questions each.

Horrendous Soup – Click and drag ingredients into a pot to make horrendous soup. Then view a recipe in which mass, capacity, and the distance of the ingredients must be converted to different metric measurements in order to get the recipe right. View an instructional video for the game.

Matching Math: Metric Length – Click on cards to show matching measurements. For example, click on “1000 meters” and “1 kilometer.”

Matching Math: Metric Weight – Click on cards to show matching measurements in metric weight: grams, milligrams, kilograms.

Measurement Mania: Metric – Convert metric measurements and drag the pointer on the ruler to demonstrate the correct answer.

Reading Weight, Length, and Height – Read the scales to measure metric weight, length and height, then set a counter with your answer.  TESiboard.

Coloring Remainders in Pascal’s Triangle – Click on all entries in Pascal’s triangle that have a given remainder.

Drag Race Division – Race against the computer or other students by clicking on the correct quotient in a series of division problems. Also try a similar game, Demolition Division.

Quotient Cafe – Select a food and characters to practice division with remainders. Use dividends from 1-500 and divisors from 1-50. As the food is doled out, students explore partial quotients (“chunking”)  in a long division problem, recording each step of the problem as they go. Press the calculator icon at lower left for help with calculations. NCTM.

Remainders Count – Click and drag number cubes to form an equation that will result in the largest remainder. Type in the quotient and remainder.

Unit 3 – Fractions & Decimals

Concentration – Click on the desired mode to play a game in which you match each shape, array, percent, or fraction visual with its name. The game will play an audio recording of the name.

Dig It – Create a fraction from a given set of numbers and locate that fraction on a number line that runs across a field of precious stones. On the Calculation Nation homepage, use “guest pass” to access the game list and play against the computer. Click on the title, Dig It.

Dirt Bike Comparing Fractions – Click on <, =, or  > to compare two fractions. Players pull dirt bikes in this tug-o-war, competing against other online players or the computer.

Equivalent Fractions – With support from visuals with the area model, students type numbers into empty boxes to create a series of equivalent fractions. View an additional page of fractions here.

Equivalent Fractions – Divide and shade circles or squares to create equivalent fractions and find the fractions on a number line.

Find a Fraction of a Number – In this interactive whiteboard activity, students find fractions of whole numbers using fraction strips for visual support.

Fraction Bars – Create fraction bars of different sizes and colors to model fractions.

Melvin’s Make a Match – Click on bottles to match equivalent fractions in this Cyberchase game.

Ordering Fractions Game – Click and drag fractions to put in vertical order. The first level uses unit fractions; subsequent levels contain fractions with unlike denominators.

Pizza Bears – Bears share pizzas. Select from 1-5 bears and 1-6 pizzas. Teaching tool for whole group instruction. Answers are not given; it’s meant to be used as a manipulative for exploration. Use a knife to cut pizzas into desired number of pieces.

Clara Fraction Ice Cream Shop – View an order for ice cream with improper fractions. Convert to mixed numbers, then click on the ice cream flavor and the scoop type, then on the cone. Continue adding ice cream to the cone until the order is complete. Earn as much money as you can in 5 minutes. Watch an instructional video for the game before you begin.

Drop Zone – Create a sum of 1 by filling your launcher with a combination of fractional bars and dropping them on top of another stack of fractions. On the Calculation Nation homepage, use “guest pass” to access the game list and play against the computer. Click on the title, Drop Zone.

Equivalent Fractions – With support from visuals with the area model, students type numbers into empty boxes to create a series of equivalent fractions. View an additional page of fractions here.

Equivalent Fractions – Divide and shade circles or squares to create equivalent fractions and find the fractions on a number line.

Fraction Feud – Drag and drop number cards to create fractions that are larger or smaller than your opponent’s. On the Calculation Nation homepage, use “guest pass” to access the game list and play against the computer. Click on the title, Fraction Feud.

Fraction Tracks – In this 2 player game, students must add, compare, and find equivalent fractions in order to race from 0-1, moving across a series of fraction tracks.

Frosty Fractions – In this two-player game, students add fractions then cover the sum with a snowflake game piece. The first to cover three numbers in a row wins.

Order & Compare Fractions with Dick & Dom – Find common denominators to order & compare fractions. From the BBC, this game resembles a Monty Python movie.

Battleship Numberline: Decimals – Click on a 0-1 number line to identify where a given decimal is located.

Decimals, Fractions, and Percentages Grid – View a hundreds grid with a random number of squares in 2 colors and determine the percent, fraction, and decimal for both colors. Use with one student or an entire class. Three levels of play. TESiboard.

Estimate – On the main page, view a key to the numbers estimated at each “stage.” Then click “begin.” Now choose a stage; for example, Stage 6 uses hundredths on the number line. Estimate what number is indicated by the arrow on the number line. Click “reveal” to check your accuracy.

Matching Fractions Decimals Percentages – In this matching memory game, try to find two cards with the same value. Play online or download a set of cards.

Number Line Drop: Tenths – Students drop numbers into place on a moving number line. Also see Number Line Drop: Hundredths and Number Line Drop: Thousandths. Levels allow users to show all numbers or use a number line with blanks. Adjust settings by ability level. TESiboard.

The Legend of Dick and Dom: Decimals – Players watch a humorous, interactive video, then must: add and order decimals, convert grams to kilogram, convert percents and fractions to decimals, and find the biggest decimal.

Fraction Number Line – Click and drag fractions from 0-2 and place on a number line. This activity also shows the equivalents in decimals and percents.

Mathman Fractions – View a dot on a number line, determine the fraction, then eat the ghost with that fraction to earn points.

Mission 2110: Converting Fractions to Decimals – Crack this BBC Maths futuristic mission by converting fractions to decimals. Drag and drop cards matching fraction to percent, use a calculator to convert fractions to decimals, and select the decimal equivalent of given fractions.

Slide to the Top – Arrange numbers from least to greatest on a number line. Work quickly and accurately to better your score. Choose from fractions, fractions & decimals, and fractions/decimals/percents.

Unit 4 – Addition, Subtraction & Measurement

Addition of Three-Digit Numbers – Type in numbers between 1 and 999 to add. Numbers are automatically entered into an equation; base ten pieces are created to match. If ten or more pieces are in any column, you must push the “regroup” button to continue solving the problem.

Amoeba Addition Game – Practice adding 3 digits by splitting numbers. Look for title “Addition by Splitting” game.

Dartboard Rounding – View a dartboard and click to reveal numbers rounded to the nearest 10, 100, or 1000. In an alternate version, players may input their own answers. Use as a whiteboard resource in a whole class activity or invite students to play independently.

Drag and Drop Math – Drag and drop numbers to complete traditional algorithms. Type the final answer in the box to check. Choose from addition, subtraction, multiplication, or division, select the number of digits in each problem, and decide on the number of problems to complete. View an instructional video here.

Glowla’s Estimation Contraption – Mentally round and add numbers and type in the answer. Round numbers to the tens place in the first level and progress to larger numbers.

Home Run Derby Math – Estimate your answer, click “done” and then “hit.” Game may be played with addition, subtraction, or multiplication problems and emphasizes skills in rounding numbers. View an instructional video here.

Amoeba Subtraction Game – Practice subtracting 3 digits by splitting numbers. Look for title “Subtraction by Splitting” game.

Base Blocks Subtraction – Subtract multi-digit numbers using base ten blocks. Uses Java.

Count on Convict – Players must type in each jump on the “number line” (a convict’s escape tunnel) and then add them all together to find the difference between two double-digit numbers.

ICT Numberline Games – Site features a variety of number line games.

At the Vets – Use online tools to measure the height, length, and weigh of animals at the vets. Uses centimeters and grams. TESiboard.

Build a Shed – Explore unit conversions within the metric system as you build a shed, converting between mm, cm, and meters. Build in 3 stages with 5 questions each.

Horrendous Soup – Click and drag ingredients into a pot to make horrendous soup. Then view a recipe in which mass, capacity, and the distance of the ingredients must be converted to different metric measurements in order to get the recipe right. View an instructional video for the game.

Matching Math: Metric Length – Click on cards to show matching measurements. For example, click on “1000 meters” and “1 kilometer.”

Matching Math: Metric Weight – Click on cards to show matching measurements in metric weight: grams, milligrams, kilograms.

Measure Capacity – Complex – Pour the contents of containers into a measuring jug and read milliliters on the metric scale. Set the program for simple or complex scale readings. TESiboard.

Measurement Mania: Metric – Convert metric measurements and drag the pointer on the ruler to demonstrate the correct answer.

Measurement Workshop – Using the “build” option, select a mode (whole numbers, whole and half numbers, decimals, or fractions), then click on the preferred type of measurement (imperial or metric) and use rulers to build a ruler city. In “play” mode, the buildings are created by the computer and players must measure them. Watch an instructional video here.

Mostly Postie – Click and drag package onto scales and enter weight in grams or kilograms.

Reading Weight, Length, and Height – Read the scales to measure metric weight, length and height, then set a counter with your answer.  TESiboard.

Bamzooki Mode, Median, Mean, Range – Click and drag figures into the correct spot to complete a variety of problems on mode, median, mean, and range.

Frequency Diagrams with Dick and Dom – In this humorous Dick and Dom presentation from the BBC, players must interpret data in a series of short games to produce an antidote to rid a fictional world of the plague.

Handling Data Game – Several different kinds of data are represented in a variety of activities. Players must use bar charts, interpret information, observe & record. Timer is optional.

Measure It! – View a segment next to a ruler and correctly identify its length. Levels include: easy inches (to the nearest half inch), medium inches (to the nearest fourth of an inch), hard inches (to the nearest eighth), and super brain inches (to the nearest sixteenth.)

Mr. Nussbaum’s Graph Master – Students create a bar graph, line graph, and pie chart based on data collected from classmates. The program then asks them eight multiple choice questions based on the data entered. Suggested ages: 7-12.

The Ruler Game – Click on a ruler to identify the location of a given number. Choose from the following levels: wholes, halves, quarters, eighths, sixteenths.

Unit 5 – Geometry & Measurement

Alien Angles – Slide a bar to position a ray to estimate different angles in order to rescue lost space aliens.

Angle Estimate Then Measure – Estimate an angle then measure with an interactive protractor. Similar resources include: Angle Inside Shape Estimate and Measure, Island Angles, and Sailing for Treasure. TESiboard activities.

Angle Shoot – Click on the correct figure in your choice of several arcade-style shooting games: angles in degrees, angles by name (right, obtuse, acute), triangles by name (scalene, equilateral, isoceles),

Banana Hunt – Click and drag a monkey a given number of degrees around a circle to locate bananas. This challenging game requires precision and accuracy; placement must be within 5 degrees to find any bananas.

Point the Boat – Angle Practice – Click and drag the arrow to rotate a boat the correct number of degrees and rescue a swimmer. Other similar, related activities include: Point the Boat Real Rescue, Search and Rescue Angle Practice, and Search and Rescue Enter the Angle. TESiboard activities.

Roboidz Angles – Complete a variety of missions using knowledge of angles to control & defeat Roboidz

Star Gazing – Locate planets by typing degrees into a telescope in this Cyberchase game.

2D Shapes with Dick and Dom – Recognize a variety of 2D shapes to complete tasks and save the land from the plague.

Cyberchase Symmetrizer – Move your mouse on the “symmetrizer” to experiment with Cyberchase character symmetry.

Investigating Symmetry in Our Alphabet – Click on the letters that have horizontal symmetry, vertical symmetry, or both.

Reflective Symmetry in Shapes – Click on shapes to see lines of symmetry drawn automatically.

Roboid Symmetry – In this futuristic mission, players complete a variety of tasks, creating symmetrical figures and finding lines of symmetry.

Shapes Sort – Click and drag a variety of shapes into the correct categories as they move along an assembly line. Sort by Quadrilaterals (categorized by 4 equal sides, 2 equal sides, no equal sides) or Triangles (equilateral, isosceles, scalene.) To locate this activity, look for “Shapes” toward the bottom of the home page.

Symmetry Activity – Click and drag shapes to complete a symmetrical picture or create your own symmetrical pattern.

Symmetry and Area Invaders – Click and drag shapes to form symmetrical “invaders” that comprise a given area. Then use the creations in a game of space invaders. TESiboard activity.

Symmetry Sort – Click and drag shapes to sort by 0, 1, or 2 lines of reflective symmetry.

Triangle Sort – Drag and drop each triangle into the appropriate category. To locate this activity, look for “Triangle Sort” toward the bottom of the home page.

Airlines Builder – In this Cyberchase game, players must construct 3 different ships with the same perimeter by clicking and dragging edge pieces. After the ship is built, the “seats” are filled to show area. After finding all shapes with a perimeter of 8, find shapes with perimeter of 10.

Area and Perimeter – Using the exercises provided, practice calculating area or perimeter, choosing from three levels of difficulty.

Chairs – This NCTM applet explores how many chairs are needed for different tables in a restaurant. In explore mode, the chair arrangement is displayed. In guess mode, player must enter the correct number of chairs. An almost identical applet from Shodor, Tables and Chairs, is also available.

Polyominoes – Use virtual tile to create designs and patterns and explore area. Click on Instructions for general information. Uses Java.

Shape Explorer – Calculate area and perimeter for a given shape and type in the correct answer.

Square Off – Create rectangular force fields using a given perimeter to capture spaceships using knowledge of area and perimeter. Challenging.

Zoo Designer – Click and drag a shape tool to create enclosures that are the correct area and/or perimeter for animals at the zoo.

Fruit Picker – Click on a button showing the degrees needed to rotate in order to pick 6 apples from a tree in just 6 turns.

Slam Ball – Select the most optimal path to launch a ball which slams off the sides of a game board to collect points by hitting tokens along the way. Use “guest pass” to enter game list & play against the computer.

Unit 6 – Multiplication & Division, Data & Fractions

Amoeba Multiplication Game – View rows and columns that split multi-digit multiplication numbers into partial products. Type in the partial products to solve. Three levels of play.

Arithmetic Four – Two player game in which students place pieces on the board by answering math problems. Choose from addition, subtraction, multiplication, division. Like Connect 4. Uses Java.

Bamzooki Multiplication & Division – Click on the correct number to answer a variety of problems including: single digit multiplication, 2 digit x 1 digit multiplication, and 3 digit/1 digit division with remainders.

Grid Method – Choose any numbers (up to 2-digit by 3-digit) for a multi-digit multiplication expression. Solve as partial products, then add the parts together.

Quotient Cafe – Select a food and characters to practice division with remainders. Use dividends from 1-500 and divisors from 1-50. As the food is doled out, students explore partial quotients (“chunking”)  in a long division problem, recording each step of the problem as they go. Press the calculator icon at lower left for help with calculations. NCTM.

Speed Grid Challenge – Race against the clock to find factors to match the product. Set the number of questions and length of game. Includes a few 1 digit by 2 digit problems.

Airlines Builder – In this Cyberchase game, players must construct 3 different ships with the same perimeter by clicking and dragging edge pieces. After the ship is built, the “seats” are filled to show area. After finding all shapes with a perimeter of 8, find shapes with perimeter of 10.

Area and Perimeter – Using the exercises provided, practice calculating area or perimeter, choosing from three levels of difficulty.

Factor Dazzle – Click on all the factors of target numbers set by opponents. Use “guest pass” to enter game list and play against the computer or register (free) to play against other students online.

Factor Game – Click on the factors of target numbers set by an opponent. Play against the computer or a friend.

Factorize – Create rectangular arrays and explore their factors.

Factorize – Find all the factorizations of a number and draw the rectangular arrays on a grid. Also see Factorize 2.

Shape Explorer – Calculate area and perimeter for a given shape and type in the correct answer.

Speed Grid Challenge – Race against the clock to find factors to match the product. Set the number of questions and length of game. Includes a few 1 digit by 2 digit problems.

Square Off – Create rectangular force fields using a given perimeter to capture spaceships using knowledge of area and perimeter. Challenging.

Table Numbers – Players race to get 4 products in a row on the game board. Use “Guest Pass” to enter and play against computer.

Zoo Designer – Click and drag a shape tool to create enclosures that are the correct area and/or perimeter for animals at the zoo.

Clara Fraction Ice Cream Shop – View an order for ice cream with improper fractions. Convert to mixed numbers, then click on the ice cream flavor and the scoop type, then on the cone. Continue adding ice cream to the cone until the order is complete. Earn as much money as you can in 5 minutes. Watch an instructional video for the game before you begin.

Cyber Olympics – Analyze data and click on contestants with the fastest practice times to compete in each event. Cyberchase game.

Equivalent Fractions – With support from visuals with the area model, students type numbers into empty boxes to create a series of equivalent fractions. View an additional page of fractions here.

Equivalent Fractions – Divide and shade circles or squares to create equivalent fractions and find the fractions on a number line.

Frequency Diagrams with Dick and Dom – In this humorous Dick and Dom presentation from the BBC, players must interpret data in a series of short games to produce an antidote to rid a fictional world of the plague.

Melvin’s Make a Match – Click on bottles to match equivalent fractions in this Cyberchase game.

Coloring Remainders in Pascal’s Triangle – Click on all entries in Pascal’s triangle that have a given remainder.

Quotient Cafe – Select a food and characters to practice division with remainders. Use dividends from 1-500 and divisors from 1-50. As the food is doled out, students explore partial quotients (“chunking”)  in a long division problem, recording each step of the problem as they go. Press the calculator icon at lower left for help with calculations. NCTM.

Remainders Count – Click and drag number cubes to form an equation that will result in the largest remainder. Type in the quotient and remainder.

Unit 7 – Patterns & Problems

Exploring Patterns – Select from several different patterns and explore what happens when you change the “expression” and “number of terms” sliders.

Find the Function – Type in the missing information in your choice of several activities: What is the Input?, What is the Output?, What is the Function?

Function Machine – Click and drag numbers into a function machine, look for patterns, and type in numbers that complete the table.

Measurement Mania: U.S. Customary – Show conversions between inches, feet, and yards on a sliding number line. Involves mental computation that might be challenging for some students.

Pattern Generator – Click and drag the shape, letter, or numbers that completes the pattern.

Spooky Sequence -Type in the missing number in a sequence of square numbers. Play a similar game with triangular numbers at Spooky Trino.

Stop That Creature – Click on the operation and the number that defines the rule in this function machine.

Whole Number Cruncher – Type in an input number and determine the function by looking for patterns in the outputs. Expand to include negative numbers in a related activity, Number Cruncher.

Circle 21 – Drag and drop numbers into overlapping circles so that every circle holds 21. For a greater challenge try Circle 99.

Make 24 – Arrange number and symbol cards to create an expression that equals 24. For a similar game, see Make 24.

Make 24 – Click and drag playing cards and operation signs to make 24.

Number Factory – Add, subtract, multiply, and/or divide a set of four numbers to come as close as possible to a target number. Find background information here. Java app.

Order of Operations Four – View an expression and type in the answer using knowledge of order of operations. This is a two player, Connect 4 style game. Choose from several levels. One level includes parentheses.

Powerlines – Drag and drop numbers in cells along a line so that each line equals a target number.

Primary Krypto – Using 5 numbers (1-10) and any of 4 operations, click and drag numbers into squares to arrive at a target number.

Sum Sense Division – Drag and drop number cards–with unknowns in all positions–to make a division equation.

Sum Sense Multiplication – Drag and drop number cards–with unknowns in all positions–to make a multiplication equation.

Amoeba Multiplication Game – View rows and columns that split multi-digit multiplication numbers into partial products. Type in the partial products to solve. Three levels of play.

Drag and Drop Math – Drag and drop numbers to complete traditional algorithms. Type the final answer in the box to check. Choose from addition, subtraction, multiplication, or division, select the number of digits in each problem, and decide on the number of problems to complete. View an instructional video here.

Grid Method – Choose any numbers (up to 2-digit by 3-digit) for a multi-digit multiplication expression. Solve as partial products, then add the parts together.