3rd Grade Math Skills: Multiplication, Division and Fractions
A parent's guide to 3rd grade math skills: multiplication, division and fractions explained with examples, common mix-ups and quick home activities.
By BAMS Academy Team 5 min read
In this article
Third grade is one of the biggest steps in elementary math. Children meet multiplication, division and fractions all in the same year, and these three ideas shape almost everything they learn in 4th and 5th grade. Knowing the core 3rd grade math skills helps you spot what to practice and when to relax.
This guide explains what 3rd graders learn in math, with examples of how each idea is taught, common mix-ups, and quick activities for home. It follows our guide to 2nd grade math skills and is part of our elementary math practice guide.
Standards vary by state. The 3rd grade math topics below are common across US schools. Your state's standards and your child's school may sequence them differently.
3rd grade math topics at a glance
| Topic | By the end of 3rd grade, many children can… |
|---|---|
| Multiplication | Explain it as equal groups and know facts within 100 from memory |
| Division | Explain it as sharing or grouping and connect it to multiplication |
| Fractions | Understand unit fractions, place fractions on a number line, compare simple fractions |
| Area and perimeter | Find area by counting squares or multiplying; find perimeter by adding sides |
| Place value | Round to the nearest 10 or 100; add and subtract within 1,000 fluently |
| Word problems | Solve two-step problems using all four operations |
Multiplication: more than memorizing facts
Children first learn what multiplication means. 4 × 3 is "4 groups of 3," which they can show with arrays, equal groups or jumps on a number line. Then they work toward knowing facts quickly.
Strategies make the facts easier to learn:
- Doubles: 4 × 7 is double 2 × 7, so 14 + 14 = 28
- Tens and fives: 5 × 8 is half of 10 × 8, so half of 80 is 40
- Break apart: 7 × 6 is 5 × 6 plus 2 × 6, so 30 + 12 = 42
- Turn around: 3 × 9 gives the same answer as 9 × 3
A few minutes of fact practice most days builds recall better than one long session a week. Focus on the facts your child finds hardest, often the 6s, 7s and 8s.
Division: the partner of multiplication
Division is taught as the inverse of multiplication. If 6 × 4 = 24, then 24 ÷ 4 = 6. Children learn two ways to picture it:
- Sharing: 24 crackers shared among 4 friends. How many each?
- Grouping: 24 crackers put in bags of 4. How many bags?
Fact families (3 × 8, 8 × 3, 24 ÷ 3, 24 ÷ 8) help children see the connection. When your child knows multiplication facts, division facts come much more easily. Try 3rd grade multiplication and division practice to work on both together.
Fractions: a new kind of number
Fractions are often the trickiest new idea in 3rd grade. The key idea is that a fraction names equal parts of a whole.
- Unit fractions: 1/4 is one of four equal parts
- Building fractions: 3/4 is three of those parts
- Number lines: 1/2 sits halfway between 0 and 1
- Comparing: with the same numerator, fewer parts means bigger parts, so 1/3 is greater than 1/6
- Whole numbers as fractions: 4/4 = 1
Common mix-up: many children think 1/8 is bigger than 1/4 because 8 is bigger than 4. Folding paper strips into fourths and eighths shows the opposite in seconds.
Hands-on work helps a lot: fold paper, cut sandwiches, or use measuring cups. When your child is ready for more, try the 3rd grade fractions practice.
Area, perimeter and measurement
- Area is the space inside a shape, counted in square units. A 3-by-5 rectangle has an area of 15 square units.
- Perimeter is the distance around. The same rectangle has a perimeter of 3 + 5 + 3 + 5 = 16 units.
- Children also tell time to the minute, solve elapsed-time problems, and measure liquid volume and mass.
A useful home question: "Would we need area or perimeter to buy a fence? What about carpet?"
Word problems and rounding
Third graders solve two-step problems with all four operations. For example: A class has 4 tables with 6 students each. 5 students go to the library. How many are left in the room? First 4 × 6 = 24, then 24 − 5 = 19.
They also round numbers to the nearest 10 or 100 and use rounding to check whether an answer is reasonable.
3rd grade and state tests
In many states, 3rd grade is the first year of state testing in math. If your family is in Texas, you can see what 3rd grade STAAR math practice looks like on our 3rd grade STAAR math practice page. Other states have their own tests and formats, so check your school's guidance.
Simple ways to practice at home
- Fact of the day: pick one tricky fact and use it at breakfast, dinner and bedtime.
- Array hunt: egg cartons, muffin tins and windows are all arrays. Ask for the multiplication sentence.
- Fair shares: divide snacks evenly among family members and talk about leftovers.
- Fraction pizza: when you slice food, name the fraction each person gets.
- Measure a room: count floor tiles for area, and walk the edges for perimeter.
Frequently asked questions
When should my child know multiplication facts?
Many elementary standards expect children to know the multiplication facts within 100 from memory by the end of 3rd grade. Understanding what multiplication means should come first.
Why are fractions so hard for 3rd graders?
Fractions break rules children learned about whole numbers. A bigger denominator means a smaller piece. Hands-on models like paper strips and number lines help the idea make sense.
