When I moved into teaching Grade 3, there was one thing I knew I wanted to bring with me from my younger classrooms: a strong focus on number sense.
I had already created hands-on number activities for Grades 1 and 2 and had seen how much of a difference it made when students were given time to explore numbers, talk about their thinking and build those foundational skills.
So when I moved to Grade 3 a few years later, I followed the same formula. And I got the same results.
The numbers were bigger and the thinking was more complex, but the idea hadn’t changed: give students a really strong understanding of number and they have something to draw on throughout the rest of their math learning.
What I noticed in Grades 3 and 4, though, was how easy it was to assume some of these fundamental skills were already secure. They’re prior knowledge, right? Except sometimes… they’re not!
A student might be able to read a 4-digit number but struggle to explain what each digit represents. They may know how to round because they’ve learned a rule, but not really understand where that number sits on a number line. Or they can partition a number in the standard way but become completely stuck when asked to represent it differently.
That’s why I still think it’s worth spending time revisiting number sense in Grades 3 and 4, not simply repeating what students did in earlier grades, but building on it with larger numbers, deeper reasoning and more flexible thinking.
Here are eight hands-on Grade 3 and 4 number sense activities I love for doing exactly that.
What does number sense look like in Grades 3 and 4?
By Grades 3 and Grade 4, we’re asking students to do much more than read and write numbers. We want them to understand the structure of our number system.
That means being able to compare and order larger numbers, understand the value of digits, partition and rename numbers in different ways, locate numbers on number lines, round numbers and explain the reasoning behind their answers.
The Grade 3 and Grade 4 activities I’ve shared below cover recording four- and five-digit numbers, place value, numbers before and after, greater than and less than, standard and non-standard partitioning, expanded form, number lines, number words and rounding to the nearest 10, 100 and 1000.
And this is where hands-on work can still be incredibly valuable. Older primary students aren’t too old for manipulatives. In fact, sometimes giving them something concrete to build, move or manipulate is exactly what helps uncover a misconception that has been hiding underneath a memorised procedure.
1. Make skip counting less predictable
By Grade 3 or 4, most students have done PLENTY of skip counting. But there is a big difference between chanting a familiar sequence and being able to continue a pattern from an unfamiliar number.
Instead of always beginning at zero, give students a random starting number and then ask them to count forwards and backwards by a given amount. The counting cards I use include counting by 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 and 12, so there are lots of opportunities to connect this practice with multiplication patterns too.
Try something like:
Start at 539 and count by 6.
Or:
Start at 693 and count backwards by 7.
Suddenly students can’t rely on a sequence they’ve memorised, they actually have to think. You can easily adjust this for the students in front of you too. Some may still be consolidating counting by 2s within 100, while others can work with 6s, 7s or 8s and much larger starting numbers.
2. Compare BIG numbers and explain why
Greater than and less than might seem like an early-years skill, but the thinking becomes much richer when the numbers get bigger. Give students two four-, five- or even six-digit numbers and ask them to compare them using >, < or =.
But don’t stop there. Ask your students: How do you know?
If students are comparing 37,532 and 41,992, they need to know where to begin comparing. They can’t just look at a random digit and decide which one is bigger.
I like having students record the number sentence and then explain their reasoning to a partner.
And for students who need an extra challenge, don’t stop at two numbers. Give them three or four and ask them to create a true number sentence. It’s a simple activity, but the explanation is where you really start to see what students understand about place value.
3. Bring out the base-ten blocks again!
Please don’t pack the base-ten blocks away just because your students have reached Grade 3 or 4! This is one of my favourite ways to make larger numbers visible.
Give students a number and ask them to use thousands, hundreds, tens and ones to build a tower or creation representing that amount. Then have them record exactly what they used.
But here’s where we can make the thinking more sophisticated. Once they’ve represented their number in standard form, ask: Can you make it another way?
If they have 4 thousands, could they exchange some of those thousands for hundreds?
Could they represent 4,000 using 2 thousands and 20 hundreds?
Now we’re not just asking students to identify place value. We’re getting them to partition numbers and understand the relationships between place value.
The MAB Tower recording pages take this further by asking students to record their number, identify the thousands, hundreds, tens and ones, work with standard or non-standard form, compare it, round it and place it on a number line.
One number. So much math!
4. Give clues instead of giving the answer
I loved using open-ended number clues with younger students, and they become even better when students are working with larger numbers. Instead of saying:
Make 4,570.
Try:
Make a number larger than 4,000 but smaller than 4,800.
Or:
Make a number smaller than 6,320 but larger than 4,200.
Students can use digit cards or base-ten materials to create a number that satisfies the clue. Then ask everyone to share. This is where the activity gets interesting because students quickly realise there isn’t one correct answer.
You can ask:
“Who made a different number?”
“What’s the largest number that could work?”
“What’s the smallest?”
“How could you prove your number fits?”
Challenge cards can include more than one condition, which requires students to hold several pieces of information in their heads at once. It’s a lovely way to move away from math always being about finding the correct answer.
5. Represent one number MANY different ways
This is one of those activities that looks simple until you really look at what students have to do. Give students different representations and ask them to find all the pieces belonging to the same number.
We are asking them to use multiple skills to connect the numbers. They need to represent the number in numeral, word form, base ten representation, and rounding to the nearest ten. I also deliberately include standard and non-standard representations to challenge students. Also, including non-standard partitioning, students are not matching things just because they look alike. They’re making connections between completely different representations of the same quantity.
If a whole set is overwhelming, only put out a few at a time. For students ready for more challenge, the non-standard partitioning pieces really stretch their place value thinking.
6. Turn number lines into a mystery
Number lines are one area where I think we can really push Grades 3 and 4 beyond simply plotting a number.Give students a number line with some information missing and ask:
What number do you think belongs here?
They have to examine the endpoints, look at the intervals and reason about where the mystery point sits.
For example, a number line might run from 1,200 to 1,300 with 1,250 marked in the middle. Where would a point between 1,200 and 1,250 sit?
The important part isn’t only getting the answer. Ask your students: Why do you think that?
That one question turns a number-line task into a reasoning task. This is also a fantastic activity to use with a small group because you get to hear exactly how students are interpreting scale and intervals.
7. Explore rounding to 10, 100 AND 1000
By Grades 3 and 4, rounding starts to become much more interesting because students are no longer always rounding to the nearest 10. Give students a collection of numbers and ask them to sort them according to whether they round up or down.
You can begin with the nearest 10 and then move to the nearest 100 and 1000 as students become more confident. A really valuable conversation is: What changes when I ask you to round the same number to a different place?
Take 3,234:
- Rounded to the nearest 10, it’s 3,230.
- Rounded to the nearest 100, it’s 3,200.
- Rounded to the nearest 1000, it’s 3,000.
Same number. Three different answers.
Having students sort numbers into round up and round down groups gives them a visual way to think about what is happening before relying solely on a rounding rule.
8. Push partitioning beyond expanded form
If there’s one place value activity I’d keep coming back to in Grades 3 and 4, it would be this one.
We want students to know that:
3,458 = 3,000 + 400 + 50 + 8
But we don’t want their understanding to stop there.
Can they also see 3,458 as:
3 thousands + 45 tens + 8 ones?
Or:
34 hundreds + 5 tens + 8 ones?
Or another equivalent combination?
Partitioning puzzles are a great hands-on way to practise this because students need to find several different representations that all belong to the same number. If students struggle, bring the base-ten blocks back out and physically make the exchanges. Ask them to prove that the value hasn’t changed. That little shift from “match the puzzle” to “prove these are equal” makes the thinking so much richer.
Why revisit number sense in Grades 3 and 4?
I think this is the biggest lesson I’ve learned from teaching number sense across different grade levels. We can’t always assume prior knowledge means secure knowledge.
Students may have been taught place value before, they may have used number lines before, they may have rounded numbers before, but that doesn’t necessarily mean those concepts are deeply understood.
When I moved from teaching younger grades into Grade 3, I kept using the same formula that had worked for me before: explicitly teach the concept, then give students meaningful hands-on opportunities to practise it.
The difference was that I could now push the thinking further. And instead of simply asking students what the answer was, I could increasingly ask:
- How do you know?
- Can you show it another way?
- Can you prove it?
Those are the questions that help turn number knowledge into flexible number sense.
The same activity can still work across a mixed-ability classroom
One of the reasons I continue to love these activities is that differentiation doesn’t need to mean planning a completely separate rotation for every group.
With Custom Counting, one student may be counting by 2s within 100 while another is counting backwards by 7s from a four-digit starting point.
When comparing numbers, one student might work with four-digit numbers while another tackles six-digit numbers.
With Number Line Mysteries, some students can work with more clearly marked intervals while others have to reason about much larger scales.
And with partitioning, students can begin with the more familiar representations before moving into increasingly complex non-standard forms.
Same mathematical ideas, different entry points and levels of thinking! That makes life much easier when you’re trying to run rotations AND meet the needs of the learners in front of you.
Want these Grade 3 & 4 number sense activities ready to go?
If you’d like to build this kind of number sense practice into your classroom without creating all the activities yourself, we’ve put everything together for you.
Our Grade 3–4 Hands-On Number Activities include the eight activities shared here, along with digit and number cards, place value charts, recording sheets, differentiation guidance and assessment tools. They’re designed to work for math centers, rotations, whole-class lessons, intervention groups, independent practice and fast finishers.
You can introduce the activities as you explicitly teach each concept, then keep them in your rotations so students can return to those skills throughout the year.
Because number sense isn’t something our students should leave behind once they reach the middle grades. We’re taking those foundations and building on them. And the stronger those foundations become, the more students have to draw on when the math gets harder.
Grab your copy of the Grade 3 & 4 activities HERE.
Rainbows ahead 🌈
What to read next:
Discover the best math tool ever!
Teach rounding so it actually sticks
Podcast episode: 6 strategies to help your students LOVE Math
About the Author: Ashleigh Smith
Ashleigh Smith is an experienced primary educator, former school leader and Co-Founder of Rainbow Sky Creations. With almost 20 years in education, Ashleigh has taught in Australia and internationally in Dubai, UAE. Today, she draws on her classroom and leadership experience to create practical, engaging resources that save teachers time and make learning meaningful and fun. A passionate cheerleader for teachers, Ashleigh is all about helping educators work smarter, not harder. She also co-hosts the Rainbow Skies for Teachers podcast, sharing practical ideas, strategies and encouragement with primary teachers around the world. Connect with her on Instagram or LinkedIn.
