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Virtual Base Ten Blocks are digital representations of traditional base ten blocks used in mathematics to help elementary school learners understand place value, addition, subtraction, multiplication, and division. These interactive tools allow students to visualize and manipulate units, rods (tens), flats (hundreds), and cubes (thousands) on a screen, making abstract concepts more concrete. By using virtual base ten blocks, learners can build a strong foundation in number sense, develop a deeper understanding of the decimal system, and enhance their ability to perform arithmetic operations. The digital format also allows for easy exploration of concepts without the need for physical materials, making it an accessible and flexible resource for both in-class and remote learning. See below for free Base 10 Blocks to use in your virtual space.

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The Base Ten Blocks provided by CoolMath4Kids is perfect for k-5 learners as it provides kid-friendly visuals and user-friendly tools.

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Base Ten Blocks (also known as "Base 10 Blocks" and "Place Value Blocks") is an online mathematical manipulative that helps students learn addition, subtraction, number sense, place value and counting. It lets them investigate how to regroup and solve problems with whole numbers and eventually fractions and decimals.

Overall, Base Ten Blocks provides a visual foundation for the abstract algorithms we want students to use as they grow.

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Base Ten Blocks | Manipulatives | Coolmath4Kids

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Base Ten Blocks virtual manipulative - a free online tool for classrooms and homes

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The Base Ten Blocks provided by MathLearningCenter is suited for students in grades 6-8 as it provides a sleek look, and access to advanced tools.

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Number Pieces by The Math Learning Center

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Number Pieces helps students develop a deeper understanding of place value while building their computation skills with multi-digit numbers. Students use the pieces to represent multi-digit numbers, regroup, add, subtract, multiply, and divide.

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Here is a Place Value Chart for working with Base 10 Blocks

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Virtual Fraction Tiles are interactive digital tools that represent fractions visually, helping elementary school learners understand the concept of fractions and their relationships. By manipulating these tiles on a screen, students can easily compare, add, subtract, and find equivalent fractions. Virtual fraction tiles make abstract fraction concepts more concrete, enhancing students' comprehension and confidence in working with fractions. These tools are particularly useful in both in-person and virtual learning environments, providing a hands-on experience without the need for physical materials. See below for free Fraction Tiles to use in your virtual space.

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ToyTheater.com provides easy to use fraction tiles for lower grade levels.

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Students often struggle with the concept of fractions. This interactive fraction strips tool helps students visualize fractions. With these online fraction strips, students can model fractions, solve fraction problems, explore equivalent fractions, and observe the differences between denominators.

To use the interactive fraction strips tool, click and drag the strips onto the canvas. You can drag as many of each fraction as you'd like. To remove the strips, drag them off the canvas. Change the chart to accommodate two whole units by pressing the "Unit Double" button. Add annotations using the pencil tool and erase using the eraser. To clear the canvas, press the trash can button.

A few activities you can do with students while using the online fraction strip tool include:

Have students model a given fraction, mixed or not. For example 1 1/4 or 3/6.

Ask students to model addition, subtraction, multiplication, or division problems using the fraction strips.

Ask students to find equivalent fractions for a certain fraction. For example, how many sixths are equivalent to 1/3?

Ask students to use the pencil tool to divide one of the wholes on the chart into fourths. Then, students can check their work by dragging fourths onto the chart afterward.

Looking for more fraction manipulatives? Try our interactive fraction circles.

Visit classplayground.com for more resources and printables about fraction strips.

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Fraction Strips | Free Virtual Manipulatives | Toy Theater

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Use the interactive fraction strips tool to help students visualize, model, and explore fractions. Students can also solve problems using fraction strips.

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Virtual Fraction Tiles are interactive digital tools that represent fractions visually, helping elementary school learners understand the concept of fractions and their relationships. By manipulating these tiles on a screen, students can easily compare, add, subtract, and find equivalent fractions. Virtual fraction tiles make abstract fraction concepts more concrete, enhancing students' comprehension and confidence in working with fractions. These tools are particularly useful in both in-person and virtual learning environments, providing a hands-on experience without the need for physical materials. See below for free Fraction Tiles to use in your virtual space.

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MathLearningCenter.com provides easy to use fraction tiles suitable for middle school grades.

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Fractions lets students use a bar or circle to represent fractions.

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Virtual Algebra Tiles are interactive tools that assist secondary students in understanding key algebraic concepts such as simplifying expressions, solving equations, and factoring. These tiles visually represent variables and constants, allowing students to explore algebraic relationships in a hands-on way. By manipulating these virtual tiles, learners can better grasp abstract concepts, make connections between different algebraic methods, and build a solid foundation for more advanced mathematics. Virtual algebra tiles provide an engaging and accessible way to strengthen algebra skills.

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MathsBot.com provides free algebra tiles to help secondary students visualize mathematics and deepen comprehension.

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Interactive algebra tiles to aid the use of manipulatives in the classroom.

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National Council of Teachers of Mathematics provides interactive practice material and virtual manipulatives.

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Modes

In Solve and Substitute, vertical lines indicate "is equal to" (=).

In Expand and Factor, the large area is the product of the top and left areas, as in a standard multiplication table.

Adding Tiles

Add tiles to the workspace from the bottom left bank. The value of each tile is indicated. When moved to the workspace, the value will be erased.

Flip turns tiles over, giving the inverse value. For example when a green x is flipped, it becomes a red -x tile. Flipping the red -x tile, gives the inverse green x tile. You can click the button to flip all tiles in the bank or move tiles to the workspace, and then click to flip those tiles over.

Turn rotates the green x and red -x tiles 90°. This is most useful in the Expand and Factor activities.

Other Tools

Tools may be used on single tiles by select them or a group of tiles by selecting several or dragging a rectangle around a group of tiles. The tool may be selected before the tile for a single action or after to allow for a repeated action.

Pointer selects and moves tiles. This is the default tool. When the empty workspace or a tile from the bank is selected, this tool is automatically selected.Note: Depending on the activity, some tiles may not be removed.

Eraser removes tiles from the workspace. Note: Depending on the activity, some tiles may not be removed.

Remove Zero Pairs allows only zero pairs to be removed from the workspace. This is most helpful in solving Solve and Expand problems or anytime in Factor problems to ensure tiles are properly removed. A zero pair is a pair of tiles that sums to 0, such as a yellow 1 tile and a red -1 tile.

Copy copies the currently selected tile(s). Move the tile(s) to see the copy. This is most helpful when a large number of tiles must be placed in the workspace, such as forx ² - 16.

Completing a Problem

All problems must be completed in two steps:

1. Build the model
Place the correct pieces in the workspace. After you build the model of the given problem, Check your answer to move on to the next step. Only tile type, tile quantity, and workspace area are checked, not the way in which tiles are arranged.

If you want to start again, Reset to empty your workspace.

2. Solve the problem
in After you solve the problem, Check your answer. Where applicable, answers must be given in simplified form. Both the entered answer and workspace must be correct. If one or both is incorrect, the incorrect portion will be indicated. Note: Factor mode, all factors must be entered in parentheses. x(x + 1) will be marked wrong. (x)(x + 1) will be accepted.

If you want to start again, Reset to go back to your original model.

3. When you complete your problem or at any other point, you may start a New problem.

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Use tiles to represent variables and constants, learn how to represent and solve algebra problem. Solve equations, substitute in variable expressions, and expand and factor.

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Virtual math manipulatives are highly beneficial for high school learners as they offer interactive, visual tools that make abstract mathematical concepts more tangible and easier to understand. These manipulatives help bridge gaps in prior knowledge by allowing students to revisit foundational concepts, such as algebraic expressions or geometric shapes, in an engaging and accessible way. By providing hands-on experiences, virtual manipulatives enable students to explore and experiment with math concepts at their own pace, fostering a deeper understanding and making it easier to grasp more advanced topics.

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Virtual Algebra Tiles are interactive tools that assist secondary students in understanding key algebraic concepts such as simplifying expressions, solving equations, and factoring. These tiles visually represent variables and constants, allowing students to explore algebraic relationships in a hands-on way. By manipulating these virtual tiles, learners can better grasp abstract concepts, make connections between different algebraic methods, and build a solid foundation for more advanced mathematics. Virtual algebra tiles provide an engaging and accessible way to strengthen algebra skills.

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MathsPad Construction Tool is an interactive digital resource designed to help high school students explore and understand geometric constructions. It allows students to use virtual tools like compasses, rulers, and protractors to create accurate geometric shapes and constructions, such as bisecting angles, drawing perpendicular lines, and constructing triangles. This tool provides a hands-on experience that reinforces geometric concepts and enhances spatial reasoning skills, making it a valuable resource for students to visualize and master complex geometric ideas in a dynamic and engaging way.

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GeoGebra's Graphing Calculator is a powerful, interactive tool that allows students to graph functions, explore algebraic equations, and analyze data visually. By providing real-time manipulation of graphs and functions, students can instantly see the impact of changes, fostering deeper understanding and engagement with mathematical concepts. The calculator's dynamic features make it easier for students to experiment with complex equations, understand the behavior of functions, and develop critical problem-solving skills, all within an accessible and user-friendly platform. GeoGebra supports interactive and exploratory learning in mathematics.