*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.

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

- 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.

Highly Recommended!

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.

Highly Recommended!