Learn about Math Manipulatives

An Algebra Balance is math manipulative that consists of a beam and pan that tilt depending on which side holds a greater value. This manipulative can be used to model equations, expressions, integers, and more.

Algebra tiles are square and rectangular shapes used to model algebraic constants and variables. These math manipulatives can be used to model integer operations, solving equations, operations on polynomials, and more.

Attribute blocks are used to teach shapes, sorting, and patterns. The manipulative blocks have four different attributes: Shape (triangle, rectangle, square, circle, hexagon), color (red, yellow, blue), size (small, large), and thickness (thick, thin).

Base ten blocks are mathematical manipulatives of solid objects where each type can be made by combining ten of a smaller type. Place values are represented using unit cubes (ones), long rods (tens), flats (hundreds), and large cubes (thousands).

Clock manipulatives are used for learning to tell time. Students move the hour and minute hands. More advanced clock manipulatives have minute and hour hands that move together, maintaining their true real-world relationship.

Color tiles are 1" square tiles that come in assorted colors (typically red, green, yellow and blue). These math manipulatives can be used to model concepts such as area, perimeter, patterns, algebra, operations, fractions, square numbers, and more.

Connecting cubes are colored cubes that can connect to each other using either 2 sides (Unifix® Cubes and UniLink™ Cubes) or all 6 sides (linking cubes, Snap Cubes®). These math manipulatives are used for a wide variety of number concepts.

An X-Y coordinate plane is a math manipulative for plotting and manipulating points, lines, and polygons in the x-y coordinate plane. Can be used to understand ordered pairs, integer signs, absolute value, linear equations, and line graphs.

Fraction circles are colored circles divided into pieces that represent: halves, thirds, quarters, fifths, sixths, eighths, tenths, and twelfths. These hands-on math manipulatives are ideal for a wide variety of fraction concepts.

Fraction tiles (fraction bars, or fraction strips) are colored bars that represent the fractions: halves, thirds, quarters, fifths, sixths, eighths, tenths, and twelfths. Other common names are fraction bars and fraction strips. Fraction tiles can be used for many different fractions concepts.

A fraction wall is layered wall that is one whole unit wide. Each layer is divided into a different number of equal-sized pieces to represent the fractions halves, thirds, quarters, fifths, sixths, eighths, tenths, and twelfths. Good for various fraction topics.

A hundreds board is a 10x10 board with cells displaying the numbers 1-100. A hundreds board is a powerful math manipulatives to visualize the base ten structure of our number system and to explore numbers and operations up to 100.

A number line is a straight line to represent the position of numbers relative the origin. Intervals are usually marked with ticks and labels. A number line is a versatile math manipulative for integer, decimal, fraction, and equality concepts.

Number Rods (and Cuisenaire® Rods) consist of 10 colored rods that each has a different length, to represent the numbers 1 to 10. These manipulatives can be used to model counting, operations, fractions, factors, proportions and more.

Pattern blocks are colored blocks of different shapes. Most of these manipulatives share a common side length and can be made from copies of the smallest triangular pattern block shape. Pattern blocks are ideal for learning fractions and proportions.

A transformation manipulative may be a physical geoboard or a virtual coordinate plane where figures can be translated, reflected, rotated, and dilated. A virtual transformation manipulative is much more flexible than a physical geoboard.

Two-color counters are typically flat discs that are red on one side and yellow on the other. Despite their simple nature, these math manipulatives can be used to learn addition, subtraction, multiplication, division, place value, comparisons, and more.