BlogMath for KidsHow to Teach 3rd Grade Math: Concepts, Tips, and Strategies

How to Teach 3rd Grade Math: Concepts, Tips, and Strategies

Wondering how to teach 3rd-grade math without overwhelming 8-to-9-year-old kids with all the new concepts? Teaching 3rd-grade math can feel like trying to juggle watermelons while riding a unicycle! What do 3rd graders learn in math? It is where the math magic really begins! Kids dive into new territories—fractions, multiplication, division, area, and perimeter!

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In this guide, we will explore important 3rd-grade math topics, common pitfalls, practical tips, and FREE resources for teachers, including 3rd-grade math lesson plans, digital teaching tools, 3rd-grade math games, printable math worksheets for 3rd graders, and more! To help students who need a little extra support with earlier concepts, read our blog—How to Teach 2nd-Grade Math—for targeted tips and resources.

How to Teach 3rd-Grade Math

A well-structured teaching plan can make all the difference in the classroom. Introduce new strategies one step at a time and allow time for them to sink in. Kids learn best when they can connect new knowledge to their existing “math backpack” and especially when they can immediately see its usefulness (yes, we are dealing with smarties now!). 

Introducing new math skills can be challenging, especially with the “invisible load” teachers carry (lesson prep, joining committees, endless meetings, and whatnot!). Let’s plan ahead, then! If you’re the kind of teacher who finds peace of mind in pre-planning resources, or if you’re a parent looking for reliable guidance to steer your child’s learning journey, this guide is perfect for you. 

So, are you ready to explore how to teach 3rd-grade math? Let’s dive into 3rd-grade math concepts and teaching strategies!

3rd grade math concepts

1. Addition and Subtraction

Addition and Subtraction in Grade 3
Add and subtract multi-digit numbers using place value.Fluently add and subtract within and including 1000.

Let’s understand how to teach addition and subtraction to 3rd graders. In Grade 3, students learn to add and subtract numbers within 1000 using various strategies.  

  • Help them add or subtract ones, tens, and hundreds separately. You can use hundreds charts, base 10 blocks, and expanded forms to show how to decompose numbers. You can also effectively use place value charts!
  • Create an anchor chart to highlight the three steps of the standard algorithm for 3-digit addition and subtraction. Show different ways kids can perform this operation—using base-10 blocks, using the expanded form, number line strategy, and the standard algorithm.
  • Reinforce how changing the order of addends does not affect the sum (commutative property). 
  • Help them express subtraction problems as addition problems. (If A − B = ?, then B + ? = A). 

All these tiny bits are wonderfully implemented in our engaging pre-made lesson plans. Explore detailed lesson overviews, activities, instructional guidance, exit tickets, and more!

Common MisconceptionHere’s a quick tip!
Kids sometimes forget the borrowing part and subtract the smaller digit from the larger one. (For example, in 105 – 28, a student might incorrectly subtract 8 from 5.)Help them see that in such cases, we can simply “borrow” from the next higher place value (because they are worth more!). Lack of practice is another factor that may cause such errors. For guided practice, consider using 3-Digit Subtraction with Regrouping Games for 3rd Graders.

Our interactive games transform addition and subtraction practice into an exciting adventure. Perfect for supercharging spiral reviews or revision time! Here’s a sneak peek into our interactive addition and subtraction games for 3rd graders:

Worksheets are great for drilling down on specific skills like simplifying addition problems. They’re like targeted practice for your students. Plus, they can help you spot where kids might be making mistakes. Give them a try!

2. Rounding Off

Rounding Numbers in Grade 3
Learn to round numbers.Round whole numbers to the nearest 10 or 100.

Teaching rounding numbers to kids is fun because it is easy to connect it to daily life. We use it every day, and even kids use it unknowingly. So, discuss the underlying purpose of learning this estimation skill during number talks. 

  • Use number lines and number charts to help kids visualize and understand why we round up or down. Show the midpoint and let them see whether a number rounds up or down. You can project this FREE Number Line Teaching Tool in your classroom for simple demonstrations. You can hide jumps and choose any number range you want.

Let kids play rounding on a number line through online games! It’s a fun and effective way to practice rounding.

  • Use relatable examples, like how kids often say they studied for 30 minutes, even for 25, or how we often say something cost us $100 when it’s actually $101! This explains the need for estimation in daily life and the idea of going to the next or previous multiple of 10.
Common misconceptionHere’s a quick teaching tip!
Students don’t understand which digit to look at. Sometimes, they might round up or down based only on the ones digit, ignoring the tens digit. • Emphasize looking at the digit to the right of the place being rounded to determine if you round up or down.
• Ask students to underline the digit they are rounding to and circle the digit next to it.
• Consider using this worksheet for extra practice: Rounding 3-Digit Numbers to the Nearest 100 Worksheet.
Students might round down when the ones digit is 5.• Clearly explain that when the ones digit is 5, we always round up to the next ten or hundred.
• Teach the rhyme: “5 or more, round up the score! 4 or less, round down and rest.”

Once kids are confident, you can plan Challenge Corners in the classroom using worksheets. Print them out and challenge kids to solve as many rounding problems as possible in a set time! 

3. Multiplication

Represent and solve problems involving multiplication.• Find products of whole numbers using equal groups or arrays.
• Multiply one-digit whole numbers by multiples of 10 in the range 10-90.
• Use multiplication within 100 to solve word problems involving equal groups, arrays, and measurement quantities.
• Determine the missing whole numbers (unknowns) in a multiplication equation.
Multiply within 100.• Fluently multiply within 100.
• Learn multiplication facts of 1-9 with speed and memory.
Learn the properties of multiplication.• Apply commutative, associative, and distributive properties to multiply.
Solve problems involving the four operations. Identify and explain patterns in arithmetic.• Solve two-step word problems using the four operations.
• Recognize arithmetic patterns (such as those in addition or multiplication tables) and explain these patterns using the properties of operations.

NOTE: Before moving on, let’s discuss this: Do you teach multiplication and division together or separately? 

It’s an excellent question that has no definitive or one-size-fits-all answer—some teachers prefer to establish a strong foundation in multiplication first, while others introduce both concepts together using fact families to highlight their connection as inverse operations. The best approach ultimately depends on your students’ needs.

Regardless of your method, it’s always helpful to start by discussing why we need to learn multiplication and division. For instance, ask your students: “What if you had to add the number 5 to itself 88 times? Would you want to do that repeatedly?” This can lead to a conversation about how multiplication simplifies repeated addition. 

Similarly, you can introduce division with a scenario that demonstrates how it’s the flip side of the same concept. Both examples help students see the practical value of these operations.

Now, let’s discuss how to teach multiplication and explore steps to create engaging lesson plans

Step 1: Equal groups and arrays: Use teaching resources that will save you time, effort, and the energy that goes into prep work. Try our free, interactive lesson plans that are easy to present in the class and ready to use! Enjoy lively discussions with your class and watch as kids enjoy various multiplication array activities. Never feel rushed!

Project our FREE Multiplication Teaching Tool in the classroom. Write a multiplication fact and create arrays or equal groups with just a click. This is also a great opportunity to introduce the terms “factor” and “product.” Help kids see that the × symbol represents “equal groups of.” 

Arrays and equal groups teaching tool for multiplication

To help kids master multiplication within 100 (basically to help them memorize the product of any two 1-digit numbers), you can refer to the following multiplication strategies chart. Use multiplication charts to visualize!:

StrategyDescription and Example
PatternsIdentifying and using predictable number relationships Example: Multiplication by 0 and 1, doubles, tens facts, fives facts
Skip CountingCounting in groups to find productsCounting by twos to find 4 x 2
Decomposing NumbersBreaking down numbers to use known factsExample: 4 x 8 = 4 x 7 + one more group of 4 = (4 x 7) + 4
Square NumbersRecognizing and remembering products of equal factors Example: 4 x 4 = 16
Arithmetic PatternsUsing number relationships to find productsExample: Using tens facts to find nines facts 9 x 7 = (10 x 7) − 7

Need to make multiplication more fun for kids? Use interactive educational games in math stations during the week you teach multiplication skills.

Keep kids on their toes with varied practice! Conduct frequent practice tests using a variety of worksheets! Create task cards that mix different types of problems. When problems are too similar, kids can fall into mechanical practice without really thinking. Mixing up the problems ensures that students truly grasp the relationship between arrays, equal groups, and multiplication sentences.

Step 2: Times Tables: Should multiplication tables be memorized? It’s a common question among parents. While the true goal is a deeper understanding, memorizing times tables has its own benefits. It helps kids fluently recall multiplication facts, boosts speed, and improves their mental math skills. Encourage kids to explore times tables, discover various patterns, find tricks, and share them with the class. This can be incredibly beneficial. Explore our engaging lessons that provide ready-to-use activities or inspiration for your own creative lessons.