Math Manipulatives

Manipulatives are hands on objects that scholars can be instructed to use to teach or reinforce concepts in mathematics. In order to allow scholars to develop a deep conceptual understanding of mathematics, scholars need an opportunity to manipulate physical objects when learning topics. This process allows for the develop of concreate understanding of the mathematics being taught. When planning lessons, it is important to provide scholars an opportunity to have these experiences. I've outlined a few of my favorite manipulatives along with resources and actives for your classroom.

If you need additional support in the implementation and best practice's in utilizing these resources, please do not hessite to contact the math department at math@apslearns.org .

Algebra Tiles

Algebra Tiles are a set of square and rectangular-shaped tiles used to represent integers (or constants) and variables. They are a visual, area-based model in which the shape of each tile is related to the unit square and also represent various variables in Algebra

(such as x, y and xy).

Click here to view task to use with your schaolrs.

Patten Blocks

As their name suggests, pattern blocks are used to create, identify, and extend patterns. Scholars use the many relationships among the pieces to explore fractions, angles, transformations, patterning, symmetry, and measurement.

Click here to view task to use with your schaolrs.

Two Color Counters

Two-Color Counters (sometimes referred to as "Integer Chips") can be used to model Integers and Integer operations. When modeling Integers, the red side of the 2 color counters represents -1 and the yellow side represents +1.

Click here to view task you can use with your scholars.

Base Ten Blocks

Base Ten Blocks can be used to develop an understanding of the meaning of addition, subtraction, multiplication, and division. Modeling addition on a place-value mat provides students with a visual basis for the concept of regrouping.

Click here to view tasks you can use with your scholars.

Fraction Tiles

Fraction Tiles are a visual representation of fractions. They allow the user to compare various fraction sizes to the same whole. Scholars can also use the to compare different fractional parts and perform operations with fractions.

Click here to view tasks you can use with scholars in your classroom.

Cuisenaire Rods

In middle grades, Cuisenaire Rods are an excellent tool for modeling ratios and proportional relationships. Students can also use the rods to create patterns and then describe those patterns using a variety of mathematical representations, including charts, graphs, and equations.

If you need assistance in learning best practice's in implementing Cuisenaire rods in your classroom, please do not hesitate to contact us at math@apslearns.org.

Patty Paper

Patty paper is perfect for geometric investigations. You can write on the paper, trace, and see creases when you fold it. It's a great way to explore geometry from a hands-on, tactile approach.

Click here to View tasks you can use with your scholars.

" All APS Scholars will graduate as architects of their future, prepared to thrive in an ever-changing world."

-APS Vision

Reach out to the Math Department via email if additional support is needed at math@apslearns.org

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