Last updated 2026-09-26. Written by the TernQuest team. This checklist is for parents of 2nd graders who want a plain list of what the year is supposed to build, a quick way to check each skill at home, and a sense of which gaps matter most.
What math should a 2nd grader know by the end of the year?
Direct answer: By the end of 2nd grade, under the California Common Core standards, children are expected to add and subtract within 100 fluently and within 1000 using place-value strategies, understand place value to 1000, skip count by 5s, 10s and 100s, tell time to the nearest 5 minutes, solve word problems with coins and bills, measure and compare lengths in standard units, and work with arrays and equal groups as the foundation for multiplication. Your school's pacing may differ, and children reach these at different points in the year.
The table is the whole checklist; the sections below explain each row with a home check.
| Skill area | By year end, a 2nd grader is expected to... | Quick home check |
|---|---|---|
| Add and subtract within 100 | Do it fluently, including regrouping | 52 − 17, 38 + 45 with an explanation |
| Add and subtract within 1000 | Use place-value strategies (not necessarily fluent) | 345 − 128 with blocks or drawing |
| Place value to 1000 | Read, write, compare, and expand three-digit numbers | "What does the 3 in 345 mean?" |
| Skip counting | Count by 5s, 10s and 100s from any start | "Count by 5s from 35" |
| Time | Tell time to the nearest 5 minutes, a.m. and p.m. | An analog clock at 4:35 |
| Money | Solve problems with dollars, quarters, dimes, nickels, pennies | Count a handful of mixed coins |
| Measurement | Measure length in inches and centimeters; compare lengths | Measure a book two ways |
| Arrays and equal groups | Build rows and columns; write repeated addition | 3 rows of 4 as 4 + 4 + 4 |
| Data | Read and make bar and picture graphs | Graph the socks in a drawer |
| Shapes | Identify shapes by sides and angles; partition into halves, thirds, fourths | Fold paper into fourths |
Quotable version: "A 2nd grader on track by June regroups without tears, reads a clock to 5 minutes, and counts mixed coins."
Can my child add and subtract within 100 fluently?
Direct answer: Fluent means the child solves 38 + 45 or 52 minus 17 with a reliable strategy and can explain it, whether that is the written algorithm with regrouping, a number line, or mental math (38 + 45: 38 + 40 is 78, plus 5 is 83). By year end this is expected to be quick and accurate. It is the row that causes the most trouble, and almost always because place value is shaky.
Home check
Give 52 − 17 on paper. Watch for the classic error: 7 − 2 = 5, 5 − 1 = 4, answer 45. If that appears, the child does not yet understand the trade. Do not practice more problems; go back to blocks. The full teaching sequence is in subtraction with regrouping: how to teach it without tears.
Does my child understand place value to 1000?
Direct answer: A 2nd grader is expected to know that 345 is 3 hundreds, 4 tens and 5 ones, to write it in expanded form (300 + 40 + 5), to compare three-digit numbers (which is bigger, 345 or 354, and why), and to add or subtract 10 or 100 mentally. This is the idea that makes regrouping, and later multi-digit multiplication, make sense.
Home check
"What does the 3 in 345 mean?" (Three hundreds.) "What is 345 plus 100?" (445, instantly, no counting.) "Which is bigger, 345 or 354? How do you know?" (The tens.) If any of these stall, place value explained for parents has bundling activities with straws and blocks.
Can my child skip count by 5s, 10s and 100s?
Direct answer: By year end, a 2nd grader is expected to skip count by 5s, 10s and 100s, starting from any number, not only from zero. Counting by 5s from 35 (40, 45, 50) is harder than from 0 and is the version that matters, because it feeds time (5-minute marks), money (nickels) and multiplication.
Home check
"Count by 5s from 35." "Count by 10s from 47." "Count by 100s from 250." Also count backward by 10s from 90. Patterns on a hundred chart help; skip counting by 2s, 5s and 10s has activities that lead straight into multiplication.
Can my child tell time to the nearest 5 minutes?
Direct answer: A 2nd grader is expected to read an analog clock to the nearest 5 minutes and to say whether a time is a.m. or p.m. The two hands have different jobs (the short one says the hour, the long one counts minutes by 5s around the clock), and children who skip count by 5s fluently learn this fast.
Home check
Set a real or drawn clock to 4:35. Ask for the time. Then ask "is it a.m. or p.m. if you're eating dinner?" Common errors: reading 4:35 as 5:35 because the hour hand is closer to 5, and counting minute marks by ones. How to teach telling time on an analog clock walks through the hour, half hour and 5-minute stages.
Can my child solve money problems?
Direct answer: By year end, a 2nd grader is expected to solve word problems with dollar bills, quarters, dimes, nickels and pennies, using the dollar and cent symbols. Counting a mixed handful of coins is the core skill, and it depends on knowing each coin's value and skip counting by 25, 10 and 5.
Home check
Put out two quarters, a dime, a nickel and three pennies. "How much?" Watch whether they start with the biggest coin (a good sign) and switch counting patterns correctly (25, 50, 60, 65, 66, 67, 68). Then: "If a sticker costs 75 cents and you have that, how much more do you need?" Counting money and coins has a shop game for the kitchen table.
Can my child measure length?
Direct answer: A 2nd grader is expected to measure length with a ruler in inches and centimeters, to estimate lengths, to compare two lengths (how much longer), and to solve simple word problems about length. The common mistake is starting the measurement at the end of the ruler instead of at zero.
Home check
Hand them a ruler and a book. "How long is it in inches? Now in centimeters?" Ask which number is bigger and why (centimeters are smaller units, so there are more of them). Then estimate the length of the table before measuring.
What are arrays and why are they in 2nd grade?
Direct answer: An array is objects arranged in equal rows and columns. 2nd graders are expected to build arrays, find the total by repeated addition (3 rows of 4 is 4 + 4 + 4), and see that 3 rows of 4 and 4 rows of 3 have the same total. This is the picture behind multiplication, which arrives formally in 3rd grade, so a 2nd grader who understands arrays walks into 3rd grade ready.
Home check
Give 12 coins or crackers. "Make rows that are all the same size." Then "how many rows? How many in each? How can we count them fast?" Rearrange into a different array and show the total does not change. The same idea leads into how to memorize multiplication facts next year.
What if my child is behind on this checklist?
Direct answer: Start with place value, because most other 2nd grade gaps trace back to it. Then talk to the teacher and ask what the class assessments show and which unit is current. Practice one skill at a time for a few minutes a day, with objects before paper.
Two honest notes. First, this is a year-end list; in the fall, a child is not expected to have most of it. Second, if math has already become a fight, the practice will not land; math anxiety in kids covers how to lower the stakes first. The year before this one is in the 1st grade math skills checklist, if the gap looks earlier.
TernQuest's 2nd grade map covers every row of this table in short games aligned to California Common Core, with Pip giving hints and never the answer, and the weekly report shows which rows need work. For measurement and money, though, a real ruler and real coins teach the skill better than any screen, so use the app for the arithmetic rows and your kitchen drawer for the rest.
Related reading
- 1st grade math skills checklist (2026) — the year before, in case the gap is earlier.
- Subtraction with regrouping: how to teach it without tears — the hardest row, taught with blocks.
- Math anxiety in kids: signs and what to do — if practice has become a battle.
Next step
For the arithmetic, place value and skip counting rows, let your child practice in TernQuest, which is free to start for one child and runs in the browser with no install. For time, money and measurement, use the clock, coins and ruler you already own.