# Using Math Manipulatives

Manipulatives can play an important role in helping kids learn. They offer hands-on learning experiences, can give a visual to abstract math concepts, and they can make learning fun. There is an unlimited number of different items you can use to help with adding, subtracting, multiplying, and dividing operations–LEGOs, macaroni, acorns, you name it. Below are some of the many manipulatives available for purchase, some of which are available in printable form on our website.

### Base Ten Blocks

Counting, Place Value, Regrouping

### Color Cubes

Area, Volume, 3D structures

### Two-Color Counters

Counting, Sorting, Probability

### Quiet Animal Counters

Counting, Sorting, Color matching

### Transparent Color Chips

Counting, Sorting, Color Matching, Color Mixing

### Cuisenaire® Rods

Patterns, Measurment, Fractions,
• ### Base Ten Blocks

Counting, Place Value, Regrouping
• ### Color Cubes

Area, Volume, 3D structures
• ### Two-Color Counters

Counting, Sorting, Probability
• ### Quiet Animal Counters

Counting, Sorting, Color matching
• ### Transparent Color Chips

Counting, Sorting, Color Matching, Color Mixing
• ### Cuisenaire® Rods

Patterns, Measurment, Fractions,

To visualize place value and the process of regrouping, we recommend using base ten blocks. They come in units, tens, hundreds, and thousands. Cuisenaire® Rods, varying in length from one centimeter to ten centimeters, can help develop basic number, pattern, measurement, and fraction concepts. Color cubes are perfect for visualizing area and volume and for building basic 3-D structures.

### Blank Dice

Customize as needed

### Place Value Dice

Place Value, Regrouping

• ### Blank Dice

Customize as needed

• ### Place Value Dice

Place Value, Regrouping

As your children get older, try using dice for practicing basic operations, such as adding, subtracting, multiplying, and dividing whole numbers, fractions, and decimals. Take a couple of numbered dice (any number of sides) and a set of operation dice, roll them, and calculate. Dice are also great for practicing greater than and less than activities and for exploring probability concepts. Place value dice are helpful in introducing writing numbers in expanded form.

### Fraction Squares

Fraction Comparisons

### Fraction Circles

Fraction Comparisons

### Fraction Bars

Fraction Matching

### Learning Wrap-Ups

Fraction Comparisons

### Fraction Rings

Use with Fraction Circles

### Fraction Tower Cubes

Fraction, Decimal, and Percent Comparison

### Fraction Tiles

Fraction Comparison
• ### Fraction Squares

Fraction Comparisons
• ### Fraction Circles

Fraction Comparisons
• ### Fraction Bars

Fraction Matching
• ### Learning Wrap-Ups

Fraction Comparisons
• ### Fraction Rings

Use with Fraction Circles
• ### Fraction Tower Cubes

Fraction, Decimal, and Percent Comparison
• ### Fraction Tiles

Fraction Comparison

There are many products available to help children add, subtract, compare, and learn the equivalents between fractions, decimals, and percents. If you use fraction circles (found at Wal-Mart and school supply stores), we highly recommend purchasing a set of fraction rings. They fit standard fraction circles perfectly and include rings to illustrate not only fractions, decimals, and percentages, but also degrees and time. Interlocking tower cubes can also double as a means for demonstrating simple bar graphs.

### Geoboards

Area, Perimeter, Geometric Shapes

### Polygon Tiles

Tiling, Area, Angles, Sorting

### Pattern Blocks

Tiling, Area, Angles, Sorting, Shapes

### Relational Solids

Shapes, Volume, 3-Dimensional Shapes

Angles, Degrees

### Master Angle

Angles, Degrees, Length
• ### Geoboards

Area, Perimeter, Geometric Shapes
• ### Polygon Tiles

Tiling, Area, Angles, Sorting
• ### Pattern Blocks

Tiling, Area, Angles, Sorting, Shapes
• ### Relational Solids

Shapes, Volume, 3-Dimensional Shapes
• ### Geo Tool Compass

Angles, Degrees
• ### Master Angle

Angles, Degrees, Length

You'll find a variety of manipulatives helpful for teaching geometry concepts. Pattern blocks and polygon tiles are great for exploring tiling, area, and angles. Geoboards, available with square, isometric, and circle pins, can help children visualize area and perimeter. Use three-dimensional shapes, such as GeoModel Relational Solids, for identifying shapes and volume. Pentominoes and Tangrams (not pictured) are also great for visualizing area and perimeter and can help children develop problem solving skills.