### Using Math Manipulatives in the Classroom

There are many kinds of manipulatives that are commercially available in addition to manipulatives which can be made from common objects that are purchased inexpensively or found in one’s environment.  Experiment and find manipulatives that work well for your students and are best suited for the mathematical concept.

## Suggestions on Teaching with Math Manipulatives

 Examples of Math Manipulatives: Centimeter Cubes Base 10 Blocks Measuring Tapes Dominoes Colour Tiles Anglegs Dice (including Multi-sided Dice) Pattern Blocks Attribute Blocks Polydrons Tangrams Mini Whiteboards and Markers Number Spinners Connecting/Unifix Cubes Reflectors Two-colour counters Fraction Strips & Towers Balances Algebra Tiles Fraction Circles Playing Cards Relational/Cuisenaire Rods Rekenreks Hundred Charts Frames Calculators Number Lines Geoboards Geometric Solids Counters, such as beans Craft Sticks Straws Paper Plates

 Concepts to Teach with Counters Counting Number Recognition Number Correspondence Ordinal Numbers More, less, and equivalence The concept of ten (use counters with ten frames) Addition and subtraction Multiplication and division

 Concepts to Teach with Base Ten Blocks Place Value Regrouping Addition Subtraction Multiplication Division Division with Remainders Zero as a place-holder Fractions Decimals Expanded Notation
 Concepts to Teach with Pattern Blocks Patterns Shapes Geometric Designs Spatial Relations Types of Angles Area, parallel and perpendicular lines Other Geometry Concepts
 Concepts to Teach with a Bucket Balance Explore Volume Compare solids and liquids Measure Mass Measuring Estimating Cause and Effect Explore volume vs. mass
 Concepts to Teach with Fraction Tiles and Circles The meaning of numerators and denominators How Fractions Work Fraction Addition and Subtraction Equivalent Fractions Multiplications of Fractions Division of Fractions
 Concepts to Teach with a Ten Frames Counting Subitization Number correspondence More, less and equivalence Addition and subtraction Components of ten Regrouping Decomposition of large numbers Problem solving
 Concepts to Teach with Linking Cubes Patterns Number Correspondence Counting Skip Counting Comparisons Measurement Regrouping Sorting Addition and Subtraction Multiplication and Division Squared and cubed numbers Graphing
 Concepts to Teach with a Geoboard Plane Shapes (Squares, rectangles, triangles, parallelograms, trapezoids, etc.) Symmetry Rotation Translation Reflection Coordinate Planes Graphing Types of Angles Problem Solving Spatial Relations
 Concepts to Teach with a Graphing Calculators Factoring Factors and Zeros Patterns, trends Slope Intercepts Intersections Max/Min. Values Polynomial functions (leading term, leading coefficient, odd/even power, start and end quadrants) Domain and Range Limits Trigonometric functions Interpreting, predicting real world relationships and phenomena

1Most of the concepts to teach are compiled from: Saunders, A., n.d. List of Math Manipulatives Every Home Should Have | Orison Orchards. [online] Orison Orchards. Available at: https://orisonorchards.com/list-math-manipulatives[Accessed 20 October 2021].