What does a student learn in StateAlaska,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 represent it. They set up the math, work through it, and then check that the answer still makes sense in the original situation.

Students explain why their math answer makes sense and listen to how a classmate solved the same problem. They practice disagreeing politely and changing their mind when someone shows them a better reason.

Students use pictures, drawings, or simple equations to show a real-life situation, like splitting cookies or counting coins. The math connects to something they can picture.

Students learn which tools help solve a problem and which ones get in the way. A ruler, a number line, or even a drawing can all be the right choice depending on the question.

Students say exactly what they mean and check their work carefully. They use the right math words, label their answers (like "3 apples" instead of just "3"), and catch their own mistakes before moving on.

Students learn to spot patterns in math, like noticing that adding zero never changes a number, and use those patterns as shortcuts. Recognizing how numbers and shapes are built helps students solve new problems faster.

When the same steps keep working the same way, students notice the pattern and use it as a shortcut. Instead of starting from scratch each time, they apply what they already know.

Students count by 2s and 5s instead of going one by one. This is the first step toward faster mental math and understanding patterns in numbers.

Students learn to describe where something sits in a line or sequence using words like first, second, and third. They practice pointing to the right object when given its position.

Students count forward and backward within 100, starting from any number, not just 1. This builds the number sense students need before they move into adding and subtracting.

Students count a big pile of objects by sorting them into groups of ten, then counting the groups and the leftovers to find the total.

Students learn the symbols >, <, and = to show which of two numbers is bigger, smaller, or the same. They use those symbols to compare numbers or groups of counted objects.

Students make a quick guess about how many objects are in a group (up to 20), then count to check. It builds the habit of estimating before reaching for an answer.

Students solve simple story problems by adding or subtracting numbers up to 20. They show their thinking with drawings, number lines, or equations, and use a box or question mark to stand in for the missing number.

Students add three small numbers together to solve a simple story problem, like figuring out how many apples are in three baskets. They write the math as an equation and show where the missing number goes.

Switching the order of two numbers being added gives the same answer (3 + 5 equals 5 + 3). Students use this idea as a shortcut to add and subtract more easily, without needing to know what the rule is called.

Subtraction is the flip side of addition. Students solve a subtraction problem by asking what number they need to add to get the total, turning "8 minus 5" into "5 plus what equals 8."

Counting forward adds; counting backward subtracts. Students practice by starting at a number and counting up or back a few steps instead of starting from scratch each time.

Students add and subtract numbers up to 20 using smart shortcuts, like counting on from a bigger number or breaking numbers apart to make a 10 first. By the end of first grade, they should solve problems up to 10 quickly from memory.

Students learn that the equal sign means "the same as," not just "the answer goes here." They decide whether simple addition and subtraction equations are true or false, like checking if 4 + 3 = 8 is right or wrong.

Students find the missing number that makes an addition or subtraction equation true. For example, given 8 + ? = 11, they figure out what fills the blank.

Students spot repeating patterns, like two red, two blue, two red, then say what comes next. They also build their own patterns using numbers, shapes, colors, or sizes.

Students count, read, and write numbers up to 120. They also look at a group of objects and write the number that shows how many.

Two-digit numbers like 34 have a tens place and a ones place. Students break apart numbers to show how many groups of ten are inside and how many single ones are left over.

Ten individual ones grouped together make a single "ten." Students learn to see the number 10 as a bundle, which is the foundation for understanding how two-digit numbers like 34 or 57 are built.

Numbers like 13 or 17 are built from one group of ten plus some leftover ones. Students learn to see 14 as "ten and four," not just a single number to memorize.

Counting by tens gets its own name: 20 means two tens, 50 means five tens, and so on up to 90. Students learn that each of these round numbers is just a count of ten-dollar-bill-sized groups, with nothing left over.

Students compare two numbers up to 99 by looking at the tens place first, then the ones place. They record which number is bigger, smaller, or equal using the symbols >, <, and =.

Students practice adding numbers up to 100, like 47 + 6 or 47 + 30, by grouping tens and ones separately. They show their thinking with drawings or blocks, then explain how they got the answer.

Students look at a number like 43 and figure out that 10 more is 53, or 10 less is 33, without counting up or back. Then they explain how they knew.

Students subtract tens from tens, like 70 minus 40, using blocks, drawings, or counting patterns. They explain how they got the answer.

Students pick three objects and measure each one using a ruler or repeated units like paper clips. Then they put the measurements in order from shortest to longest.

Students measure how long something is by lining up small objects, like paper clips, end to end without gaps. The total count of those objects is the length.

Students read a clock and write the time when the hour hand points straight to a number or halfway between two numbers. They practice with both the face of a clock and digital numbers like 2:00 or 2:30.

Students read a calendar to find today's date and identify yesterday and tomorrow. They practice writing the date by hand, including the month, day, and year.

Students learn to read the dollar sign and cent sign so they can write prices like $2 or 15¢. It's the first step toward understanding how money works in everyday life.

Students learn the value of each coin and figure out which combinations add up to the same amount, like five pennies matching one nickel. The focus stays on coins up to one dollar.

Students sort objects or answers into groups (up to three), show the results in a chart or picture, and then answer questions like "How many more?" or "How many in all?"

Students sort shapes by what actually makes them that shape, like the number of sides, not by color or size. They also draw shapes from scratch using those rules.

Students put simple shapes together to build a bigger shape, then use that new shape as a building block to make something else. Think of snapping two triangles into a square, then combining squares into a rectangle.

Students cut circles and rectangles into 2 or 4 equal pieces and name each piece a half, a fourth, or a quarter. They also notice that the more equal pieces a shape is cut into, the smaller each piece gets.