## Math Manipulatives & Models

*Math Vocabulary Cards*

Link to App Store: Math Vocabulary Cards, by Clarity Innovations

Price:

**Free**

Math Vocabulary Cards help students deepen their conceptual understanding of key terms in mathematics. Each card features three sections: a math term, a representative example or model, and a concise definition. Each section can be hidden or revealed providing multiple options for practice. Vocabulary cards can be selected individually or by category and switched seamlessly between English and Spanish.

Number FramesLink to App Store: Number Frames, by Clarity Innovations Price: FreeNumber Frames help students structure numbers to five, ten, twenty, and one hundred. Students use the frames to count, represent, compare, and compute with numbers in a particular range. |

Number Pieces (Basic - Color Coded)Link to App Store: Number Frames, by Clarity Innovations Price: FreeNumber 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. |

Number PiecesLink to App Store: Number Pieces, by Clarity Innovations Price: FreeNumber Pieces (sometimes called "Base 10 Blocks") 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. |

Number RackLink to App Store: Number Rack, by Clarity Innovations Price: FreeNumber Rack facilitates the natural development of children’s number sense. The movable, colored beads encourage learners to think in groups of fives and tens, helping them to explore and discover a variety of addition and subtraction strategies. It is sometimes called a Rekenrek in Kindergarten. |

Number LineLink to App Store: Number Line, by Clarity Innovations Price: FreeNumber Line helps students visualize number sequences and illustrate strategies for counting, comparing, adding, subtracting, multiplying, and dividing whole numbers. The number line can be labeled with multiples of any whole number from 1 to 100. |

Money PiecesLink to App Store: Geoboard, by Clarity Innovations Price: FreeMoney Pieces help students visualize and understand money values and relationships. Two versions of coins and bills are provided: virtual currency pieces that replicate the appearance and relative size of U.S. coins and the dollar bill, and area money pieces. |

GeoboardLink to App Store: Geoboard, by Clarity Innovations Price: FreeGeoboard 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. |

*Pattern Shapes*

Link to App Store: Pattern Shapes, by Clarity Innovations

Price:

**Free**

Students use Pattern Shapes to explore geometry and fractions, creating their own designs, or filling in outlines. As they work with the shapes students explore geometric relationships, think about angles, investigate symmetry, and compose and decompose larger shapes. Many of these explorations lead naturally to thinking about fractions as parts of a whole.

This virtual version of pattern blocks is an open-ended educational tool, ideal for elementary classrooms and other learning environments that use iPads. Pattern blocks are a key model used in Bridges in Mathematics, second edition. Online preview available at: www.mathlearningcenter.org/bridges

FEATURES

• Rotate shapes in increments of 5 degrees.

• Measure angles with the protractor tool.

• Duplicate and change the color and size of shapes.

• Fill the built-in outlines with shapes or create your own.

• Choose between a triangular or square grid, or use a blank background.

• Use the drawing tools to annotate work and show understanding.

• Write equations and expressions with the text tool.