What does a student learn in StateKansas,GradeGrade 1,SubjectMathematics?

Students read a math problem carefully, figure out what it's asking, and keep trying even when the first approach doesn't work.

Students learn to move between a real-world problem and the numbers that describe it. They pull meaning out of a math sentence and put it back into the situation to check whether the answer makes sense.

Students explain why their math answer makes sense, then listen to a classmate's reasoning and say whether they agree or disagree. The focus is on talking through the thinking, not just getting the right answer.

Students use drawings, objects, or number sentences to show a real-world problem, like figuring out how many apples are left after some are eaten.

Students learn to pick the right tool for the math in front of them, such as a ruler when measuring length or a number line when adding. Knowing which tool helps and which one doesn't is part of the work.

Students say exactly what they mean in math: using the right words, labeling units like inches or cents, and checking that their work is correct before calling it done.

Students learn to spot patterns in numbers and shapes, like noticing that adding zero never changes a number or that a clock face is a circle divided into equal parts. Recognizing those patterns helps students solve new problems faster.

When the same math step keeps showing up, students learn to notice the pattern and use it as a shortcut. That habit saves time and builds number sense.

Students read short story problems and figure out a missing number by adding or subtracting. The missing piece can be the starting amount, the change, or the result, and the numbers stay at 20 or below.

Students add three numbers together to solve a short story problem, keeping the total at 20 or under. They might use drawings, counters, or a simple equation to find the missing piece.

Adding in a different order still gives the same answer. Students use that idea as a shortcut, like knowing 3 + 5 is the same as 5 + 3, so they can solve addition and subtraction problems more quickly.

To solve a subtraction problem like 10 minus 8, students think of it as a missing-piece puzzle: what number do you add to 8 to get 10? Addition and subtraction are two sides of the same fact.

Counting up or back is an early shortcut for adding and subtracting. Students practice starting at one number and counting forward to add or backward to subtract, instead of starting from zero each time.

Students add and subtract numbers up to 20, and do it quickly and reliably up to 10. They use mental shortcuts like building to 10 first or using a known fact (8+4=12) to figure out a related one (12-8=4).

The equal sign means both sides of a math sentence have the same value. Students look at addition and subtraction equations and decide whether they are true or false.

Students find the missing number in a math sentence, like 5 + ? = 9 or 12 - ? = 7. They use what they know about addition and subtraction to figure out which number fills the blank.

Students count, read, and write numbers up to 120, starting from any number, not just 1. They also look at a group of objects and write the number that shows how many.

A two-digit number like 47 means 4 tens and 7 ones, not just the symbols "4" and "7." Students learn to break apart numbers this way so that adding and subtracting bigger numbers makes sense.

Students learn that 10 single objects can be bundled together and treated as one group. That group has a name: a ten.

Numbers like 13 or 17 are built from one group of ten plus some leftover ones. Students learn to see 14 not as a random number but as ten and four more.

Students learn that 30 means three groups of ten, 70 means seven groups of ten, and so on. Round numbers ending in zero are just a count of tens with nothing left over.

Students learn that a number like 20 can be built more than one way: two groups of ten, or one group of ten with ten loose ones. Breaking numbers apart and putting them back together in different ways builds the flexibility students need for adding and subtracting later.

Students look at two numbers and decide which is bigger, smaller, or equal. They record the answer using the symbols >, <, =, and ≠.

Adding two numbers that together reach up to 100. Students use blocks, drawings, or place value thinking to add, then explain how their method works in writing.

Students add a number like 43 to a single number like 6, learning what to do when the ones add up past 9. This builds the foundation for carrying over into the tens place.

Students add a two-digit number like 43 to a round number like 20 or 50. They use what they know about tens and ones to find the total without counting every step from scratch.

Students learn that when adding two numbers like 23 and 45, you add the tens together and the ones together. Sometimes the ones add up to ten or more, so you bundle them into a new ten.

Students pick a number like 43 and say what it becomes when you add or subtract a full ten, without counting up or back. Then they explain how they knew.

Students subtract round numbers by tens, like 70 minus 40, using blocks or drawings to show their thinking. They connect what they built or drew to the math written on paper and explain how they got the answer.

Line up three objects and decide which is longest and which is shortest. Students also compare two objects they can't place side by side by measuring each one against a third object, like a piece of string.

Students measure how long something is by lining up small objects end to end, like placing paper clips in a row across a pencil. The total number of paper clips is the length.

Students read a clock and write times like 3:00 or 3:30. They practice with both the kind of clock that has hands and the kind that shows numbers.

Students sort objects or answers into groups, count how many are in each group, and compare the groups. They answer questions like "How many more chose dogs than cats?"

Shapes have rules that make them what they are. Students learn which features matter (like the number of sides) and which don't (like color or size), then draw or build shapes that follow those rules.

Students put simple flat or solid shapes together to build a new, bigger shape, then use that combined shape to build something else. It is like snapping blocks together to make a new piece, then using that piece to keep building.

Students cut circles and rectangles into two or four equal pieces, then name each piece a half, a fourth, or a quarter. A pizza split in two gives halves; split in four gives quarters.