Digital Math Manipulatives

Digital Math Manipulatives header image featuring previews of worksheets

There are so many great options for using digital math manipulatives. However, once school started I quickly realized that while I had access to great digital manipulatives, I wasn’t quite sure how I wanted to use them. We all know the importance of using math manipulatives in the classroom, but there is a difference (other than the obvious) in using digital manipulatives.

I recently wrote a blog post as A Guide to Math Manipulatives. It has a lot of great information and ideas so if you haven’t read it yet, be sure to check it out.

A Guide to Math Manipulatives image showing colorful plastic objects to assist in learning math

I wish I could make this an all-inclusive blog post that shares how to use every option for every standard. But, that would get overwhelming quickly. Instead, I’ve shared some of my favorites for teaching whole numbers and operations for upper elementary students. I’ll try to create a new post for digital manipulatives for teaching fractions and decimals, and operations with larger numbers a little later in the year.

You can download all of the forms you see below for FREE! Click here to grab them!

Base-Ten Blocks

One way to use base-ten blocks is to have students build numbers using different combinations of blocks. This helps students compose and decompose numbers.

Digital math manipulatives worksheet teaching place value

Math learning app screenshot displaying colored block groups to represent hundreds, tens, and ones

When I have students complete these activity, they look at the example, then we do one together with me using the document camera, before they try this on their own. Mathematically, they don’t need the extra scaffolding, but they do need support using the manipulatives.

Preview image of place value worksheet and visualized blocks for counting

Another way to use base-ten blocks is to have students multiply by multiples of ten. This can also be done with place value discs, but I did learn that it was easy to overwhelm students teaching too many options and types of manipulatives too quickly. I’ve found that it’s best to slow down and introduce them over time.

Digital math manipulatives worksheet titled multiples of 10 with an example featuring 4 sets of 300 colored blocks to visually display multiplication

Hundreds Chart

We don’t use a hundreds chart a lot in class, but I do love them for teaching multiples of numbers through 100.

I love how this feature allows students to see how multiples overlap, as well as see prime numbers.

Number chart using different colored circles to represent prime numbers and how multiples overlap

Cuisenaire Rods

Cuisenaire Rods are by far my favorite manipulative for teaching fractions. They can also be used for teaching students to find the factors of numbers.

Digital math manipulatives worksheet titled Finding Factors, detailing steps on using blocks to discern factors

This is an activity I wouldn’t try with my blocks, because they don’t have any numbers written on them. I love that for fractions, but for the purpose of finding factors, the numbers are a big help.

Cuisenaire Rods app screenshot visually displaying multiples in rows of increasingly-larger multiples

Once again, I would show students an example and complete one together before students try this activity on their own. I wish this wasn’t the case, but there will always be technical issues: students need to zoom out, students don’t know to to drag or resize an image, etc.

Summary image re-iterating Finding Factors steps and Cuisenaire Rods visual

Color Tiles

Color tiles are awesome for perimeter and area, but they’re also great for teaching students to build arrays. The tiles transition nicely into area models, which can be used with larger multiplication problems.

Creating Arrays worksheet detailing steps to show repeated addition to build arrays

I love relating repeated addition to arrays. Anything that helps students visualize is a win! Plus, just think about the options for teaching the distributive property!

App screenshot to visualize addition as a means to learning multiplication with three 7-block bars that add up to 21

My only word of caution is to go slow. I tried to introduce all of these digital math manipulatives in one class. We did it, but like anything else they lose their novelty. Next time, I will absolutely spread out my lessons. Summary of previous images for Creating Arrays and using addition to learn multiplication

Snap Cubes or Linking Cubes

Linking cubes are great for teaching multiplication as a comparison. As I mentioned in my word problem blog post, students need a lot of hands-on opportunities for this tricky standard. I like giving students two numbers and have students create a model for additive comparison and multiplicative comparison.

Digital math manipulatives worksheet for Comparisons, detailing steps to link cubes to model comparison problems

A great extension is to give students the model and have students write a word problem to reflect the model. That significantly raises the rigor for students.

App screenshot showing multiple combinations of colored blocks to illustrate digital math manipulatives

It’s exciting to think about all the options students will have once they are familiarized and comfortable with using digital manipulatives!

Summary image of previous images for Comparisons and colored blocks to represent digital math manipulatives

If you’d like a copy of the Google Slide images above, click here. I’ll send you a free copy!

I assigned the slides above in Google Classroom and the slides linked to the manipulatives. After students created the image, they copied and pasted their final product to the Google Slide. I was worried that the extra step would be complicated, but it wasn’t at all.

There are many options for using digital math manipulatives. My personal favorite is BrainingCamp, which is what I used for all of the examples. I feel like it has the most options and easy to use interface. Of course, you can use whichever platform works best for you. I have included links within the slides, but once you may your copy, you’re welcome to change them!



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