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7 Math Manipulatives for your Digital Toolkit

Plan a lesson for Digital Learning Day on March 13 with these seven FREE math apps. 
Geoboard by The Math Learning Center (a nonprofit organization dedicated to K – 12 education) is a FREE app that turns your iPhone/iPad into a virtual geoboard. Geoboards can be used as tools to teach mathematical concepts such as polygons, perimeter, area, line segments, angles, congruent shapes, symmetry, fractions, etc. Shapes are created by stretching bands on the geoboard’s pegs. There are 5 colors of bands in the iPhone version and 8 in the iPad version. There is also a tool to fill in shapes. On the iPad version, you can switch from the standard 25 peg board to a 150 peg board to create more complex shapes. This is a great app with the potential to be used in so many ways.

Geoboard, by The Math Learning Center - Clarity Innovations

FREE for the iPad, Virtual Manipulatives contains math manipulatives for teaching fractions, decimals, and percents. Included are tiles/circles divided into halves, thirds, fourth, fifths, sixths, eighths, tenths, and 12ths AND their corresponding decimals and percentages! The manipulatives are color coded across the settings so that 1/2 is blue as is .50 and 50%. Kids drag tile pieces onto the work area to compare fractions/decimals/percentages. In the settings you can change from tiles to circles, make the pieces transparent, and hide the numbers on the pieces. Completed work can be easily saved to photos. Finding equivalent fractions has never been so slick – WOW!!

Common Core Standards met:

  • 3.NF.3 – Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size. Understand two fractions as equivalent (equal) if they are the same size, or the same point on a number line.
  • 4.NF.1 – Explain why a fraction a/b is equivalent to a fraction (n × a)/(n × b) by using visual fraction models, with attention to how the number and size of the parts differ even though the two fractions themselves are the same size. Use this principle to recognize and generate equivalent fractions.

Virtual Manipulatives! - ABCya.com

equivalent fractions

From the National Council of Teachers of Mathematics comes a FREE app called Equivalent Fractions. Kids create equivalent fractions by dividing and shading squares or circles. Circles can be divided into 24ths. Squares can be divided into 144ths. In the play mode, a fraction is shown and kids must create 2 additional fractions that are equivalent. All 3 fractions must have different denominators. The app also places the fractions on a number line – a great visual for comparing! There is also a “build your own” mode which would be fabulous to use for guided exploration & practice. Kids could also use this section as a virtual manipulative when working independently. This app is an excellent resource for the classroom !!

Common Core Standards met:

  • 3.NF.3 – Explain equivalence of fractions and compare fractions by reasoning about their size. Understand two fractions as equivalent (equal) if they are the same size, or the same point on a number line. Recognize and generate simple equivalent fractions, e.g., 1/2 = 2/4, 4/6 = 2/3). Explain why the fractions are equivalent, e.g., by using a visual fraction model.

Equivalent Fractions - National Council of Teachers of Mathematics

counting board

Another FREE app is Counting Board HD, a colorful number grid that can be used to help kids learn basic number concepts. The app is advertised as being suitable for 2 to 4 year olds but it can also used with older students. I frequently used number grids with third graders. Number grids help kids see patterns and visualize math concepts. With younger children, the app can be used for counting to 100 – by ones, fives, tens. Younger kids can also learn basic addition and subtraction by using the app to count up or count back. With older kids, number grids can be used to teach: greater than and less than, how to find missing addends, place value concepts, skip counting, and more! The app can be used with the numbers showing or hidden and the pronunciation can be on or off. The app simple to use, visually appealing, and useful for so many math lessons. I love this app! It’s so much easier than dragging out the laminated number grids and counters. 🙂

Common Core Standards met:

  • K.CC.1. Count to 100 by ones and by tens.
  • K.CC.2. Count forward beginning from a given number within the known sequence (instead of having to begin at 1).
  • 1.NBT.5. Given a two-digit number, mentally find 10 more or 10 less than the number, without having to count; explain the reasoning used.
  • 1.NBT.6. Subtract multiples of 10 in the range 10-90 from multiples of 10 in the range 10-90 (positive or zero differences), using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.
  • 3.OA. 9. Identify arithmetic patterns (including patterns in the addition table or multiplication table), and explain them using properties of operations.

Download link: https://itunes.apple.com/us/app/counting-board/id450751745?mt=8&uo=4

number lineNumber Line, by the Math Learning Center is a fantastic FREE app that will help kids visualize number patterns and understand number operations. The app is well-designed with several useful features. The number line can be set by ones, twos, fives, tens, twenty-fives, and hundreds. It can also be customized to show multiples of any whole number from 1 to 100. This feature is perfect for skip counting and/or for visualizing multiplication. The app permits kids to add and manipulate forward & backward jumps – a great feature for teaching addition & subtraction. This feature also helps kids visualize multiplication as repeated addition of the same number and division as repeated subtraction of the same number. Teachers are able to hide or reveal numbers on the number line. This feature can be used to challenge kids to apply what they know in order to figure out the missing number/numbers. Teachers can also use this feature to teach kids how to solve more difficult patterns that are missing several numbers; such as 4, __, __, 16.  Kids can use the drawing tools to show what they know. They can write equations and expressions with the text tool. They can screen shot their work and use it as an exit slip after a lesson. Add this one to your virtual toolkit today – “seeing math” helps kids understand it. 🙂

Download Link: https://itunes.apple.com/us/app/number-line-by-math-learning/id751816884?mt=8&uo=4

protractor

Free Protractor from Pongo Soft is another tool that you may want to add to your digital toolbox. The angle can be set in two ways: by touching the pointer or by entering the angle on a keypad. Once the angle has been set, it can be locked to avoid movement of the pointer when taking readings. Kids can also use this tool to see how many degrees are in a straight angle and a right angle or to discover the difference between an acute angle and an obtuse angle. They can easily see what combinations of angles are equal to a straight angle.  Since the app is free, there is some advertising across the top. Check out this FREE educational app for your geometry students.

Download link: https://itunes.apple.com/us/app/free-protractor/id555590467?mt=8&uo=4

number pieces

FREE educational app – Number Pieces from Math Learning Center. This educational app is the digital version of place value manipulatives, hands-on tools used to help students understand place value. Using the place value models within this app, kids can visualize the process of adding and subtracting ones, tens, and hundreds. The app has a function that permits kids to break apart pieces or join them together. This feature is fabulous for kids who need concrete examples. The app also includes expanding edge pieces which can be used to introduce arrays. Other features of the app include: three colors for identifying groups, drawing tools for labeling, a text tool for writing number sentences, zooming & scrolling for larger numbers. Thanks to the Math Learning Center, teachers & their students have another great app to add to their digital toolkits!

Common Core Standards:

  • 1.NBT.6. Subtract multiples of 10 in the range 10-90 from multiples of 10 in the range 10-90 (positive or zero differences), using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.
  • 2.NBT.1 Understand that the three digits of a three-digit number represent amounts of hundreds, tens, and ones; e.g., 706 equals 7 hundreds, 0 tens, and 6 ones. Understand the following as special cases: a. 100 can be thought of as a bundle of ten tens — called a “hundred.” b. The numbers 100, 200, 300, 400, 500, 600, 700, 800, 900 refer to one, two, three, four, five, six, seven, eight, or nine hundreds (and 0 tens and 0 ones).

Download link: https://itunes.apple.com/us/app/number-pieces-by-math-learning/id605433778?mt=8&uo=4

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Number Pieces

number piecesFREE educational app – Number Pieces from Math Learning Center. This educational app is the digital version of place value manipulatives, hands-on tools used to help students understand place value. Using the place value models within this app, kids can visualize the process of adding and subtracting ones, tens, and hundreds. The app has a function that permits kids to break apart pieces or join them together. This feature is fabulous for kids who need concrete examples. The app also includes expanding edge pieces which can be used to introduce arrays. Other features of the app include: three colors for identifying groups, drawing tools for labeling, a text tool for writing number sentences, zooming & scrolling for larger numbers. Thanks to the Math Learning Center, teachers & their students have another great app to add to their digital toolkits!

Common Core Standards:

  • 1.NBT.6. Subtract multiples of 10 in the range 10-90 from multiples of 10 in the range 10-90 (positive or zero differences), using concrete models or drawings and strategies based on place value, properties of operations, and/or the relationship between addition and subtraction; relate the strategy to a written method and explain the reasoning used.
  • 2.NBT.1 Understand that the three digits of a three-digit number represent amounts of hundreds, tens, and ones; e.g., 706 equals 7 hundreds, 0 tens, and 6 ones. Understand the following as special cases: a. 100 can be thought of as a bundle of ten tens — called a “hundred.” b. The numbers 100, 200, 300, 400, 500, 600, 700, 800, 900 refer to one, two, three, four, five, six, seven, eight, or nine hundreds (and 0 tens and 0 ones).

Download link: https://itunes.apple.com/us/app/number-pieces-by-math-learning/id605433778?mt=8&uo=4

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Mathseeds Grade 2 , Grade 1, & Kindergarten

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FREE for a limited time – Mathseeds Grade 2, an educational app that provides practice of essential second math skills. The app has three sections: training, timed, and progress. The training section has 81 question sets that cover nine topics: numbers, addition, subtraction, multiplication/division, fractions, patterns, shapes, measurement, and chance/data/money. The timed section has five topics (7 levels): addition, subtraction, all topics, words, and question mark – an assortment of questions. Kids can set the timer for 30 seconds, one minute, two minutes, or three minutes. As kids progress through the levels, they collect badges and earn tokens to spend on games in the circus area. The game supports multiple players so it would work well for classrooms with shared devices. Data for each player is collected in the progress area of the app. If you are looking for second grade math practice, check out Mathseeds Grade 2.

Download link: https://itunes.apple.com/us/app/mathseeds-grade-2/id910765159?mt=8&uo=4

Also FREE for a limited time:
Mathseeds Grade 1
https://itunes.apple.com/us/app/mathseeds-grade-1/id910759849?mt=8&uo=4
Mathseeds Kindergarten
https://itunes.apple.com/us/app/mathseeds-kindergarten/id910765561?mt=8&uo=4

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Code Blast

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FREE for a limited time – Code Blast, an educational app that introduces young kids to coding. Kids program a rocket to complete its course. They do so by dragging and dropping instructions in the correct sequence. Along the way they must also avoid UFOs and electric barriers. As they program the rockets, kids will recognize the need to be precise and correctly order the instructions. The app permits kids to test their program and remove any “bugs” that they find. Stars are awarded for missions completed without any mistakes. The app features 36 missions and two modes: level mode (ordered missions) and custom mode. Certificates are awarded for levels that have been completed. They can be saved to the camera roll for printing or emailing. The app supports multiple players – perfect for shared devices at school.

Download link: https://itunes.apple.com/us/app/code-blast/id953601961?mt=8&uo=4

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SlateMath for Kids – Kindergarten and 1st Grade Games

slate math

SlateMath for Kids – Kindergarten and 1st Grade Games is a FREE educational app with 38 educational activities that prepare kids for kindergarten/first grade math. I found out about this app from one of my readers. What a great suggestion – it’s a hidden gem! All of the games are presented in a travel book so kids learn about the world as they complete the varied math activities. They travel to Scotland, Norway, Germany, Czech Republic, Switzerland, Italy, Greece, Russia, Spain, and Sweden – how fun! Skills presented include: counting, writing digits, ordering, addition, patterns, odd/even numbers, and problem solving. Kids are rewarded with fireworks when they answer questions correctly and helped when they miss questions. Written directions can be easily switched to 25 different languages. The app permits multiple users with each user’s progress tracked in his/her travel book. I love the travel theme and the variety of well-developed, age-appropriate activities that this app provides. Check it out! 🙂

Download link: https://itunes.apple.com/us/app/slatemath-for-kids-kindergarten/id589371294?mt=8&uo=4

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Math Bingo Games – A Racing Game for Kids

math bingoFREE for a limited time… Math Bingo Games – A Racing Game for Kids. This educational app is geared towards elementary students who are learning addition, subtraction, multiplication and division. The app features two math games: Math Race and Math Bingo. In Math Race, kids solve math problems before their cars crash into barricades. In Math Bingo, kids look for math answers on Bingo cards. The Bingo game is ends if five mistakes are made. Both games have three level of difficulty: easy, medium, and hard. Kids earn stars for successfully completing the games. They may use these stars to play a just-for-fun race game on a famous track!

The app is great for shared iPads. It permits you to create five player profiles. Each player can create his/her own custom avatar. The app generates reports on accuracy and time spent. It separates the data by operation but it does not show the child’s level within each operation. Check out this fun app for practicing basic math!

Common Core Standards met:

  • 1.OA.6 – Add and subtract within 20, demonstrating fluency for addition and subtraction within 10.
  • 2.OA.2 – Fluently add and subtract within 20 using mental strategies. By end of Grade 2, know from memory all sums of two one-digit numbers.
  • 3.OA.7 – Fluently multiply and divide within 100, using strategies such as the relationship between multiplication and division or properties of operations. By the end of Grade 3, know from memory all products of two one-digit numbers.

Download link: https://itunes.apple.com/us/app/math-bingo-games-racing-game/id415231843?mt=8&uo=4

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Khan Academy

khan (new)

A fabulous educational app just got better!!

Khan Academy is an amazing FREE educational app! Whoever said the best things in life are FREE was absolutely correct. With Khan Academy students can learn almost anything and the app is completely FREE! It has a library of over 5,000 videos which covers a wide range of subjects such as K – 12 math, biology, chemistry, the humanities, and more. And now, Khan Academy‘s iPad app includes over 150,000 interactive, Common Core aligned math exercises with instant feedback and step-by-step hints. Kids can review what they are learning in school or practice at their own pace.

With Khan Academy, anyone can review a subject that they have already studied or they can choose to learn something completely new! Videos can be watched online or downloaded to watch offline. All videos are subtitled so that students can read along, skip ahead, or go back. If students log in to their Khan Academy account, they can track their progress. The app gives credit for watching the videos and allows students to see their achievements. Badges and points are earned for learning. Teachers can access their students’ data – as a class or individually. Khan Academy is an incredible resource for all kinds of learners – students, teachers, principals, home-schoolers, adults returning to school, and lifelong learners. It is truly one of the best educational apps available – at any price!

Khan Academy - Khan Academy

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Newton – Multiplication

newtonFREE for a limited time – Newton – Multiplication, an educational app for learning multiplication facts. There are three game modes – infinity mode (all the time you need), two-second mode (two seconds per problem), and three-minute mode (how many problems be answered in three minutes). Kids must answer the problems accurately because they are only permitted one lifeline (second chance) per game. The game stops and is scored when a second mistake is made. This game would be really fun for upper elementary students. I think they would enjoy challenging their friends to see who can answer the most questions in three minutes. Results can be shared in a variety of ways (messaged, mailed, tweeted, etc.) so teachers can utilize or monitor this feature. Check it out while it’s free!

Download link: https://itunes.apple.com/us/app/newton-multiplication/id876299541?mt=8&uo=4

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Flashcard Ninja

flashcard ninjaFREE for a limited time – Flashcard Ninja, an educational app for practicing addition and subtraction with numbers 1 – 20. Kids embark on a journey to become a math ninja. They can record their own sounds to accompany the ninja’s karate moves – a feature that is sure to be a hit. As they answer mixed addition/subtraction questions posed by the ninja master, the “math ninjas” win trophies for their trophy room. A 10, 20, or 30 second timer can be set to allow more time for kids who need it. The timer can also be turned completely off. I wish there an option to customize a child’s practice – addition only, subtraction only, mixed facts up to 10, etc. It would also be nice if the app gathered data. That being said, I can see how this app might appeal to some kids who are otherwise reluctant to practice math. So, check it out while it’s free to see if it works for your children.

Download link: https://itunes.apple.com/us/app/flashcard-ninja-1-20/id540438755?mt=8&uo=4

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Snowflake Station

Snowflake Station

Happy Winter!!

Purple glittery snowflakes – this great educational app is only $.99!! Snowflake Station for the iPad helps kids discover the beauty of symmetry – a key concept in math, science, art, & architecture. The app has 3 sections: Trace a Flake, Creation Station, and Make it Snow. Trace a Flake includes step-by-step instructions for cutting 36 different snowflakes/other symmetrical shapes. In the Creation Station, kids create their own flakes/shapes. There are six different folds, 10 different colored paper, and 10 different colors of glitter to choose from. Kids make “cuts” with their fingers. The tape button works as an undo button. Kids can monitor their progress in the upper left hand corner of the cutting board. Creations can be saved to use in the “Make it Snow” section of the app which does exactly that! Kids use their creations to make it snow in a photo of their choosing. They can use the iPad’s camera to take a picture or use an already saved photo from the camera roll. There are also 10 winter scenes included in the app. Another option in this app is the ability to set up a Juddly (a safe, secure email) account for your child to share his/her creations with you. Very creative & very fun – all while learning about symmetry. 🙂

Common Core Standards:

  • 1.G.3 – Partition a shape into four equal shares, describe the shares using the words halves, fourths, and quarters, and use the phrases half of, fourth of, and quarter of. Describe the whole as two of, or four of the shares. Understand for these examples that decomposing into more equal shares creates smaller shares.
  • 4.G.3. Recognize a line of symmetry for a two-dimensional figure as a line across the figure such that the figure can be folded along the line into matching parts. Identify line-symmetric figures and draw lines of symmetry.

Not only does this app meet CCSS in math, it can also be used in creative writing – The Day It Snowed Orange, Alien Invasion, etc. What a great educational app!

Snowflake Station - Mrs. Judd's Games, LLC