Strategy

Math Manipulatives

Concrete Representation, Physical Models, Card sort

UDL 2.5 UDL 5.2

Manipulatives are physical objects that aid understanding of mathematical concepts or processes by allowing students to physically explore or demonstrate the concept or process. The use of manipulatives provides a way for students to learn concepts in a developmentally-appropriate, hands-on, experiential way. Mathematical manipulatives are typically used in the first step of introducing new mathematical concepts.

Ready-to-Use Resources

Manipulatives

3D Base Ten Blocks

Included in this resource are paper-cutout versions of three-dimensional base ten blocks. These blocks can be printed and cut out for students to use for all types of work with number sense, including counting, place value, addition, subtraction, and multiplication. They provide both a physical and a visual representation of thousands, hundreds, tens, and ones.

Grade 1, 2, 3 · Math · 3 pages


Manipulatives

Array Mat and 3D Base Ten Blocks

Included in this resource are paper-cutout versions of three-dimensional base ten blocks, as well as array mats. The base ten blocks can be printed and cut out for students to use for all types of work with number sense, including counting, place value, addition, subtraction, and multiplication. The array mats can be used for students to organize and group their base ten blocks to represent multiplication equations.

Grade 4 · Math · 4 pages


Manipulatives

Base Ten Blocks

These two-dimensional base ten blocks can be printed and cut out for students to use for all types of work with number sense, including place value, addition, subtraction, and counting. They provide both a physical and a visual representation of hundreds, tens, and ones. Included in this packet are ten copies of each type of block.

Grade K, 1, 2 · Math · 4 pages


Manipulatives

Place Value Mats and 3D Base Ten Blocks

Included in this resource are paper-cutout versions of three-dimensional base ten blocks, as well as decimal place value mats. The base ten blocks can be printed and cut out for students to use for all types of work with number sense, including counting, place value, addition, subtraction, and multiplication. The place value mats can be used for students to organize and group their base ten blocks to represent and compare decimals.

Grade 5 · Math · 4 pages


Resource

Math Manipulatives: Money

This resource contains play dollar bills and coins - providing a physical math manipulative for counting money.

Grade 2 · Math · 2 pages


Fluency Tool

Blank Flashcards for Practicing Math Facts

Printable blank flashcards for addition, subtraction, multiplication, and division math facts. The set includes blank versions of flashcards that can be customized by the teacher or created by students. There is one set that is presented vertically to support duplex printing and another set that is presented horizontally for single-sided printing.

Grade K, 1, 2, 3 · Math · 3 pages


Implementation Tips

Number Lines
For students who need support when adding and subtracting positive and negative numbers, a number line can be provided.
Coins
When teaching the value of coins, use actual coins to represent values (e.g. A nickel is equal to 5 pennies. A quarter is equal to five nickels.).
Additional Support
If a student is a visual learner, use manipulatives to support answering math problems (e.g. counters for adding/subtractions, fraction strips, base ten blocks,etc.)

Examples

1:1 Correspondence with Manipulatives
When introducing addition, teachers can have students count items representing the numbers to be counted.
Fraction Strips
Teachers can use fraction strips to demonstrate parts of a whole.
Base 10 Blocks
Base 10 blocks can be used to conceptually demonstrate place value and regrouping.
Math Card Sorts
Teachers can put mathematical information (e.g. definitions, graphs, equations, etc.) on cards so that students can physically sort and organize information.

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