What 1st-grade math actually looks like (and what to do at the kitchen table).

The 30-second version.

1st graders work on four big ideas: addition and subtraction within 20(with the expectation that basic facts within 10 become automatic by year's end), place value to 100 (understanding tens and ones, not just counting to 100), comparing two-digit numbers, and measuring with non-standard units(how many paper clips long is the pencil?). Word problems run through all four — the kid who can compute but can't parse a sentence is the one who stalls here. The Common Core standards for 1st grade are 1.OA (operations and algebraic thinking) and 1.NBT (number and operations in base ten); between them they explain about 90% of the homework you'll see on the kitchen table.

Where it actually stalls.

1. Addition and subtraction within 20.

By the end of 1st grade, your child should be able to add and subtract within 20 fluently — meaning fast enough that they're not burning working memory on the arithmetic when the problem is asking them to do something harder with the number. The benchmark from 1.OA.6: add and subtract within 10 from memory; within 20 by whatever strategy works.

The legal strategies (all of them are fine): counting all (hold up 7 fingers, hold up 5 more, count to 12), counting on (start at 7, count up 5 from there), making a ten (break 5 into 3+2, put 7+3=10, add 2 more), and known fact retrieval (just know it). Most kids progress through all four over the year. The goal is to get them to retrieval on the smaller sums — not by drilling, but by repeated exposure until the fact consolidates.

The slip kids make: counting backwards for subtraction. 12 − 5— the kid counts “12, 11, 10, 9, 8, 7” on their fingers, which works but is slow and miscount-prone. The fix: think addition. “5 plus what makes 12?” — count up from 5 to 12, which is 7 counts. That's the counting-on move in reverse, and it's faster and less error-prone than counting back.

2. Place value to 100.

This one is more conceptual than it looks. Saying “forty-three” is easy. Knowing that 43 means four tens and three ones — and that the 4 is ten times as valuable as the 3 — is a different thing entirely. 1.NBT asks kids to represent two-digit numbers as bundles of tens and loose ones, add a two-digit number to a one-digit number (43 + 5), and add a two-digit number to a multiple of ten (43 + 20).

The slip kids make: treating the digits as independent single-digit numbers. Asked to add 43 + 20, the kid adds 4+2=6 and writes 63. Close, but for the wrong reason — they added the tens-digits without knowing they were tens-digits. The fix is the physical bundle: grab 4 sticks of 10 Lego bricks and 3 single bricks, lay them out, and then add 2 more sticks of 10. The tens column is a tens column because it represents tens. That has to be concrete before it can be abstract.

3. Comparing two-digit numbers.

47 > 43 — easy. 39 > 41? The kid who hasn't landed place value often says yes, because 9 is bigger than 1. The tens-digit goes first in comparison; the ones-digit only matters when the tens are tied. That precedence rule is what 1.NBT.3 builds.

The slip kids make:comparing ones before tens. The fix is the place-value question first, every time: “how many tens does this number have?” before “which is bigger?” When the tens are different, the comparison is settled before you ever look at the ones. That ordering has to become automatic.

4. Word problems.

1.OA includes three types of addition/subtraction word problems: result unknown (“Sam has 7 apples and gets 5 more — how many?”), change unknown (“Sam has 7 apples, gets some more, now has 12 — how many did he get?”), and start unknown (“Sam had some apples, got 5 more, now has 12 — how many did he start with?”). The result-unknown type is the simplest; start-unknown is the hardest and shows up in assessments to catch whether the kid understands what the equation is doing.

The slip kids make:treating every word problem as an addition problem because they see two numbers. “Sam has 12 apples and gives away 5 — how many left?” Kid writes 12 + 5 = 17. The fix is slowing down on the question: “what do we want to know?” and acting it out before writing any numbers. Literal physical acting-out — put 12 blocks on the table, remove 5 — before the pencil moves.

Three moves at the kitchen table.

You don't have to be a math teacher to help. Three things, in order:

Move 1 — “How did you figure that out?”

Not “that's wrong” — not even “that's right.” Just ask how they got there. You'll learn which strategy your child is using, and so will they — making the strategy conscious is half of consolidating it. A kid who can say “I counted on from 7” is closer to automaticity than a kid who got the right answer by accident.

Move 2 — Grab the physical things.

For place-value problems: Lego bricks in stacks of 10 and singles. For addition within 20: two-color counters, coins, raisins, literally anything you can group and regroup. For word problems: act it out. 1st-grade math is concrete first; the pictures in the textbook are an intermediate step between the physical objects and the abstract symbols. If your child is lost, go one step more concrete, not one step more abstract.

Move 3 — Make tens on purpose.

The make-a-ten strategy is the most powerful move in 1st-grade arithmetic, and it's not obvious why. 8 + 5: break the 5 into 2 and 3, put 8+2=10, add the 3 to get 13. Faster than counting on from 8, and it builds the fact that 10 is a landmark worth heading for. Practicing make-a-ten at home — with actual physical things you move to make the ten — builds the number sense that makes 2nd-grade regrouping much easier later.

What you don't have to do.

You don't have to drill flashcards. The research on early-grade fact fluency is fairly clear that rote memorization without conceptual grounding produces kids who can pass a timed fact quiz and still stall on the first problem that doesn't look like the one they memorized. The goal in 1st grade is for facts to become automatic through repeated use in meaningful contexts — not through drilling in isolation.

You don't have to correct every wrong answer immediately. If your child says 7 + 5 = 13, ask them to count on from 7 with you and see what you land on together. The error is usually a counting slip, not a gap in understanding — and the cooperative recount is more effective than “no, it's 12.”

A note on where 1st grade fits in the launch.

Koda launches with math deepest at grades 2–5. 1st grade is in the grade expansion that follows launch — the same verifier and hint ladder work for any 1st-grade problem from day one, but the structured curriculum levels and adventure-map content for 1st grade are part of the grade-expansion rollout. If your child is in 1st grade right now, the waitlist puts you first in line.

What Koda does for this age.

The architecture Koda uses for 2nd–5th grade works the same way for 1st: the overhead camera watches a real paper worksheet, the step validator checks each answer exactly (no guessing from the LLM), and the hint ladder returns the next move without giving the answer. For 1st grade specifically, the problems are simpler but the hint ladder is just as important — because the slip usually isn't the wrong answer, it's the wrong strategy, and the right intervention is a question, not a correction.

For the engineering version of how the step validator works — why we don't trust the LLM to grade arithmetic. For how Koda decides when to say something: how Koda decides when to interrupt.

If your child is in 1st grade.

Drop your email at the waitlist. We'll write when 1st-grade curriculum levels ship, and you'll get early-bird pricing when enrollment opens. Until then, the three kitchen-table moves above are genuinely the highest-leverage thing you can do.