Grade 2 is the year maths stops being mostly counting and starts being about how numbers are built. A child who can see that 47 is four tens and seven ones can add, subtract, compare and estimate in ways a child who only counts cannot. This guide walks through what the year covers and how to help at home without turning the kitchen table into a classroom.
It follows the Common Core State Standards, which most US states use or have adapted. Your state’s list may differ in small details, so treat your child’s teacher as the final word on timing.
The four areas of the year
Grade 2 maths is organized into four areas: operations and algebraic thinking (addition and subtraction facts, odd and even, equal groups), number and operations in base ten (place value, adding and subtracting larger numbers), measurement and data (length, time, money, graphs) and geometry (shapes and equal parts).
1. Addition and subtraction facts within 20
By the end of the year the standard says children should know from memory all sums of two one-digit numbers. The route there matters more than the speed. Children who memorise with no strategy hit a wall; children who have a few strategies end up remembering the facts almost by accident.
- Make ten. For 8 + 5, take 2 from the 5 to make 10, then add the remaining 3. It works for any sum that crosses ten.
- Doubles and near doubles. 6 + 6 is 12, so 6 + 7 is one more.
- Count on. For 9 + 2, start at 9 and count two more. This is a fine strategy for small numbers and a poor one for big ones.
Try this: in the car or at the sink, ask “what goes with 7 to make 10?” A few of these a day does more than a worksheet.
2. Place value up to 1,000
A three-digit number is made of hundreds, tens and ones: 347 is 3 hundreds, 4 tens and 7 ones. Children should be able to count by 5s, 10s and 100s, read and write numbers to 1,000, and compare two numbers with the symbols for greater than, less than and equal.
Coins are the best prop in the house. Dimes are tens and pennies are ones. Put out 3 dimes and 4 pennies and ask what number it makes, then add a dime and ask what changed. Later, ask “what is 10 more than 346?” and “what is 100 less than 520?” Mentally adding or subtracting 10 and 100 is a named skill in the standard, and it is the quickest way to learn that the digits in a number mean something.
3. Adding and subtracting within 100, and within 1,000
Grade 2 is about strategies that show the thinking, not yet about the stacked method with carrying. To add 47 + 25, a child might add the tens first (47 + 20 = 67) and then the ones (67 + 5 = 72). Another might draw a number line and make jumps. Both are the same maths you learned, with the steps visible.
If the homework looks different from how you did it, resist the urge to teach your own method straight away. Ask “can you show me how you got that?” first. The standard written method arrives in later grades, and children who understand the pieces learn it faster.
4. Equal groups and arrays
Children learn to tell whether a number is odd or even by pairing objects, and to arrange objects in rows and columns (up to 5 by 5) and write the total as a repeated addition: 3 + 3 + 3 + 3 = 12. This is the groundwork for multiplication in Grade 3.
An egg carton is a 2 by 6 array. A muffin tin is 3 by 4. Ask “how many in all, and how do you know?” and listen for rows and columns.
5. Measuring, telling time and money
Expect rulers in inches and in centimeters, time to the nearest five minutes with a.m. and p.m., word problems with coins and dollar bills, and picture and bar graphs.
- Let your child measure real things and say the unit: “the book is 9 inches long”.
- Put an analog clock where they can see it and ask what time it is at the same moments each day.
- Give them a handful of coins and a price to pay exactly.
6. Shapes and equal parts
Children name shapes by their sides and corners (triangle, quadrilateral, pentagon, hexagon) and split circles and rectangles into two, three or four equal shares. They learn the words halves, thirds and fourths. Cutting a sandwich or a pizza in equal shares is the lesson. “Which piece is bigger?” is the question that matters.
A weekly rhythm that works
Ten minutes, four days a week, beats an hour on Sunday. A simple plan:
- A warm-up of a few quick facts (make ten, doubles).
- One place-value task with coins or blocks.
- One real-life question: measuring, time or money.
- Look at one mistake together and ask “what were you thinking?”
That last step matters most. A wrong answer is information about how the child sees the problem. Fix the thinking and the answers follow.
When to ask for help
If your child is still counting every fact on their fingers late in the year, or if place value still seems like a mystery, talk with their teacher. It is common, it is fixable, and the earlier it is noticed the easier it is.
Practice it free
Tutorpip’s maths is measured against Common Core, and every Grade 2 lesson is free to play with no account. You can play the Grade 2 lessons, print free Grade 2 worksheets with answer keys, or download the Grade 2 lesson notes as a book.