Last updated 2026-10-10. Written by the TernQuest team. This checklist is for parents of 4th graders who want to know what "on track" looks like by June, how to check each skill at home in a couple of minutes, and which gaps are worth acting on.
What math is a 4th grader expected to know by the end of the year?
Direct answer: Under the California Common Core standards, by the end of 4th grade children are expected to multiply multi-digit numbers, divide with remainders, understand equivalent fractions and compare fractions, add and subtract fractions with like denominators, use decimal notation for tenths and hundredths, measure and draw angles, and find factors and multiples. Your school's pacing may differ.
Fourth grade is the year the numbers get big and the fractions get real. Third grade built the multiplication facts and the idea of a fraction as a number; 4th grade uses both to do multi-step work. If your child's facts are still shaky, that is the first thing to fix, because almost every row below leans on them.
Quotable version: "Fourth grade math is 3rd grade facts used at scale: big multiplication, division with leftovers, and fractions that can be renamed."
| Area | By the end of 4th grade, expected to | Quick home check |
|---|---|---|
| Multiplication | Multiply a multi-digit number by a one-digit number and two two-digit numbers, using place value | "What is 23 × 4?" then "How did you do it?" |
| Division | Divide a multi-digit number by a one-digit number, with remainders | "Share 53 stickers among 4 friends. How many each, and how many left over?" |
| Factors and multiples | Find factor pairs, recognize multiples, tell prime from composite | "List every way to make 24 as a multiplication" |
| Fractions | Explain equivalence, compare fractions, add and subtract with like denominators, multiply a fraction by a whole number | "Which is bigger, 3/4 or 2/3? How do you know?" |
| Decimals | Write tenths and hundredths as decimals, compare decimals | "Write 7/10 as a decimal. Which is bigger, 0.7 or 0.65?" |
| Measurement and angles | Convert within a unit system, measure angles in degrees, find area and perimeter | "Measure this corner with a protractor" |
| Place value | Read, write, compare and round multi-digit numbers | "Round 4,682 to the nearest hundred" |
Can my 4th grader multiply multi-digit numbers?
Direct answer: By the end of the year, children are expected to multiply a multi-digit number by a one-digit number and a two-digit number by a two-digit number, using place value strategies, area models and the standard steps. Ask for 23 × 4 and 12 × 15 and listen for a method, not just a number.
What a good explanation sounds like
- "23 × 4 is 20 × 4 plus 3 × 4, so 80 plus 12, which is 92." (place value, the strategy schools push first)
- "12 × 15 is 10 × 15 plus 2 × 15, so 150 plus 30 is 180." (breaking one factor apart)
- An area model drawn as a rectangle split into parts, with each part multiplied.
If it is shaky
More often than not, a multi-digit multiplication problem is really a facts problem: the child cannot get 7 × 8 fast enough to hold the rest of the work in mind. Check the facts first with the order in how to memorize multiplication facts before drilling the algorithm.
Can my 4th grader divide with remainders?
Direct answer: Fourth graders are expected to divide multi-digit numbers by a one-digit number and interpret the remainder, using place value, area models, and the relationship between multiplication and division. "53 divided by 4 is 13 remainder 1" is the target, along with knowing what to do with the 1 in a word problem.
The word problem part is where kids stumble. Three versions of the same numbers:
| Problem | Answer | What to do with the remainder |
|---|---|---|
| 53 kids, vans hold 4. How many vans? | 14 | Round up: the last kid needs a van |
| 53 stickers, 4 friends. How many each? | 13 | Drop it: the extra sticker is left over |
| 53 stickers, 4 friends. How many are left? | 1 | The remainder is the answer |
If division itself is the gap rather than the remainders, the sharing-versus-grouping foundation is in how to teach division to 3rd graders. Fourth grade builds directly on it.
Does my 4th grader understand factors and multiples?
Direct answer: Children are expected to list all the factor pairs of a number, recognize whether a number is a multiple of another, and tell prime numbers from composite ones. "Every way to make 24" should produce 1 × 24, 2 × 12, 3 × 8 and 4 × 6.
A quick home check that doubles as a game: pick a number, race to list its factor pairs, then check by multiplying. Then ask, "Is 7 prime? Why?" The expected answer is that 7 only has 1 and 7 as factors. Factor work matters later because equivalent fractions and simplifying both depend on it.
Can my 4th grader work with equivalent fractions and compare fractions?
Direct answer: By the end of 4th grade, children are expected to explain why 1/2 equals 2/4 (the same amount cut into more pieces), generate equivalent fractions by multiplying numerator and denominator by the same number, and compare two fractions with different numerators and denominators using a common denominator or a benchmark like 1/2.
Home check
- "Show me that 1/2 and 3/6 are the same." Folding paper or drawing two same-sized bars both count.
- "Which is bigger, 3/4 or 2/3?" Accept "3/4 is one piece away from a whole and the piece is smaller than a third" or "9/12 versus 8/12."
- "Which is bigger, 2/5 or 5/8?" Accept "2/5 is less than half and 5/8 is more than half."
The misconception to listen for
"Bigger denominator means bigger fraction" is the classic 4th grade error: 1/8 must be bigger than 1/4 because 8 is bigger than 4. Ask your child to draw both. If it persists, the fraction-strip approach in equivalent fractions explained for parents is the fix.
Can my 4th grader add fractions and use decimals?
Direct answer: Fourth graders are expected to add and subtract fractions with the same denominator (3/8 + 2/8 = 5/8), including mixed numbers, and to multiply a fraction by a whole number (3 × 2/5 = 6/5). Adding fractions with unlike denominators is a 5th grade expectation, so do not push it yet. For decimals, the expectation is writing tenths and hundredths as decimals and comparing them.
Decimal checks
- "Write 3/10 as a decimal." (0.3)
- "Write 45/100 as a decimal." (0.45)
- "Which is bigger, 0.7 or 0.65?" The trap answer is 0.65, because 65 is bigger than 7. The right answer is 0.7, and a good explanation is "0.7 is 70 hundredths."
Money is the most natural decimal your child already uses: $0.70 versus $0.65 makes the comparison obvious.
Can my 4th grader measure angles and convert units?
Direct answer: By the end of 4th grade, children are expected to know that angles are measured in degrees, to measure and draw angles with a protractor, and to add or subtract angle measures. In measurement, they are expected to convert within one system (feet to inches, meters to centimeters, hours to minutes) and to solve area and perimeter problems.
Home checks: hand over a protractor and a book corner ("what is this angle?"), then ask for a right angle, an angle smaller than a right angle, and one larger. For conversion, "how many minutes in 3 hours?" and "how many inches in 2 feet?" are enough to see whether the idea of a larger unit holding many smaller units is there.
How should I use this checklist?
Direct answer: Do the quick checks over a week, two or three per evening, and write a plus, a check or a minus next to each row. Then act only on the minuses that other rows depend on: facts, then equivalent fractions, then decimals. Everything else can wait for the classroom.
A few things to keep in mind
- Fourth grade is where math anxiety often shows up, because the work got visibly harder and there is more of it. If your child freezes on the checks, the checks themselves are the wrong tool for now; start with the signs in math anxiety in kids.
- A minus in October is normal. This is a year-end list.
- Ask the teacher which of these their class has covered before deciding anything is a gap.
Where a game fits: once you know the one or two rows to work on, ten minutes of targeted practice beats a general worksheet. TernQuest tags every 4th grade skill to its California Common Core standard, so you can pick the exact fraction or division skill from the curriculum map and assign it from the weekly report. It is not the right tool for the first explanation of a new idea like equivalence, which lands better with paper strips and you at the table.
The next year's list is in the 5th grade math skills checklist, and it is worth a glance now: almost everything in 5th grade fractions and decimals assumes the 4th grade rows above are solid.
Related reading
- Equivalent fractions explained for parents — the row most 4th graders need help with.
- How to memorize multiplication facts — the foundation under multi-digit work.
- 5th grade math skills checklist — what comes next.
Next step
Pick the weakest row and try its games on TernQuest, which is free to start for one child. Ten focused minutes on one skill will move the minus faster than an hour of general practice.