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Updated by Michelle Morley on Nov 03, 2015
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Middle Years Math Apps

Here is a list of Virtual Manipulatives you can use in your math classroom.

Number Pieces, by the Math Learning Center

Number Pieces helps students develop a deeper understanding of place value while building their computation skills with multi-digit numbers. Students use the number pieces to represent multi-digit numbers, regroup, add, subtract, multiply, and divide.

Note: Number Pieces Basic, a simplified version of Number Pieces, is also available in the App Store. Number Pieces Basic is designed for primary students. It has fewer features, putting greater focus on place value, counting, addition, and subtraction.

FEATURES

• Add and manipulate pieces (ones, tens, and hundreds).

• Join pieces in groups of ten or break them apart (e.g., 10 ones into 1 ten and vice versa).

• Use the expanding edge piece like a measuring tape to show the dimensions of arrays created with the pieces.

• Choose from three different colors to clearly identify groups or pieces.

• Move, rotate, and duplicate pieces individually or as a group.

• Use the drawing tools to label representations and show understanding.

• Write equations and expressions with the text tool.

• Zoom and scroll to work with larger collections of pieces.

Number Pieces Basic, by the Math Learning Center

Number Pieces Basic helps students develop a deeper understanding of place value while building their computation skills with multi-digit numbers. Students can use the number pieces to represent multi-digit numbers, count, regroup, add, and subtract. The drawing tools allow students to label representations and show their understanding.

Note: Number Pieces, an advanced version of Number Pieces Basic, is also available in the App Store. Number Pieces has additional features for representing larger numbers and multiplication and division concepts.

FEATURES

• Add and manipulate pieces (ones, tens, and hundreds).

• Join pieces in groups of ten or break them apart (e.g., 10 ones into 1 ten and vice versa).

• Choose from three different colors to clearly identify groups or pieces.

• Move, rotate, and duplicate pieces individually or as a group.

• Use the drawing tools to label representations and show understanding.

• Write equations and expressions with the text tool.

5 Dice: Order of Operations Game

A math game intended for upper elementary and middle school students that helps students enjoy practicing their order of operations. The game encourages students to use higher order thinking to solve the "target" number by working backwards given the answer but not the equation. The best feature about this simple math game is that teachers are able to receive immediate feedback of their students’ progress through email.

MATH GAMES and ASSESSMENT
This game has a built in reporting feature that informs the teacher how the student is doing and how much time they spend playing the game.

Explain Everything™ Interactive Whiteboard

Show what you know using Explain Everything

Thinking Blocks Fractions

Review Fractions

Thinking Blocks Fractions teaches children how to model and solve word problems involving fractions and whole numbers. In this interactive tutorial, children are introduced to 6 problem solving models. The models help children organize information and visualize number relationships. While Thinking Blocks Fractions may be used with any elementary math program, it is ideal for children who are learning model drawing strategies found in math books from Singapore. Thinking Blocks Fractions is best suited for children, ages 10+.

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Ooops

Ooops

Ooops presents a series of such problems that are solved by placing one or more sets of parentheses on the right side of the equation to make it equal to the number on the left. At any point the player can check their work by pressing the check button to see how their parentheses have changed the result. This will show them the steps of the problem as the operations are performed in order.

There is also a button to reveal how the computer solved the problem, although, that is not always the only solution.

The program allows children to sign in and to earn points towards stickers as they reach a certain total, up to 500. Problems are worth 1 to 5 points depending on the level selected. The level goes up to 5, but each level will also include problems from the lower levels.

The game is aimed at middle school and above

Geoboard, by The Math Learning Center

Geoboard is a tool for exploring a variety of mathematical topics introduced in the elementary and middle grades. Learners stretch bands around the pegs to form line segments and polygons and make discoveries about perimeter, area, angles, congruence, fractions, and more.
This virtual version of the manipulative is an open-ended educational tool, ideal for elementary classrooms and other learning environments that use iPod Touches, iPhones, or iPads.

FEATURES

• Create line segments and polygons by stretching bands around the Geoboard’s pegs.

• Choose from 5 different band colors; 8 band colors on the iPad.

• Fill individual shapes with a transparent color, or use the Fill All button to toggle all the bands between filled and unfilled.

iPad only:

• Switch between the standard 25-peg square board, a rectangular board with 150 pegs, or a circular board with 13 pegs. The circular board enables explorations with angles, fractions, and time measurement.

• Duplicate shapes then move, rotate, or flip them to explore symmetry and congruency.

• Change the color of selected bands.

• Display grid lines with or without numbering to more easily calculate area and identify shape locations.

• Use the drawing tools to annotate work and show understanding

• Write equations and expressions with the text tool.

Virtual Manipulatives!

Virtual set of fraction bars but alone do not provide meaning for learners; they require a teacher to guide meaning and connections.

Fractions - by Brainingcamp

Everything you need for teaching and learning: (1) Narrated lesson (2) Practice questions (3) Virtual manipulative (4) Challenging game

TOPICS COVERED
1. Fractions Introduction
2. Equivalent Fractions
3. Common Denominator
4. Comparing and Ordering Fractions
5. Adding and Subtracting Fractions
6. Multiplying Fractions
7. Dividing Fractions

Pick-a-Path on the App Store

test your skills with powers of ten, negative numbers, fractions, decimals, and more

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ProbSim

ProbSim

robSim is a probability experiment simulator

Arithmetic Triads

This app presents basic arithmetic problems in a variety of ways and emphasizes the relationships between addition, subtraction, multiplication, and division.

FactorMan

You earn points by choosing numbers between 1 and 100. If you choose 5, you get 5 points; if you choose 18, you get 18 points, etc. But FactorMan gets points for all of the factors of the number you choose (except for the number itself).