What does a student learn in StateWest Virginia,GradeGrade 2,SubjectMathematics?

Students read a short word problem and figure out whether to add or subtract to find the answer. They practice turning everyday situations, like sharing snacks or counting coins, into number sentences.

Students read short story problems and use addition or subtraction to find missing numbers up to 100. Problems may take two steps to solve, and students show their thinking with drawings or simple equations.

Adding and subtracting numbers and spotting patterns in how those answers work. Students practice until the basic facts come quickly, then use those patterns to solve new problems.

Students add and subtract numbers up to 20 in their heads, working toward knowing these math facts from memory. By the end of second grade, they can recall any combination of single-digit numbers without stopping to count.

Students look at a row of numbers and figure out what is being added each time to make the pattern work, such as adding 2 or adding 10.

Students sort objects into equal groups and count how many are in each one. This is the first step toward understanding multiplication.

Students sort a group of up to 20 objects into pairs to decide if the total is odd or even. If every object has a partner, the number is even, and students write it as two equal parts added together, like 6 = 3 + 3.

Students count objects arranged in rows and columns, like a grid of dots, by adding equal groups together. They write the addition as a number sentence, such as 3 + 3 + 3 for three rows of three.

Students learn that the position of a digit in a number tells its value. A 3 in the tens place means 30, not 3.

A three-digit number like 706 has three separate jobs: the first digit counts hundreds, the middle counts tens, and the last counts ones. Students learn to break apart any number this way.

Students learn that ten groups of ten make one hundred. It's the same idea as bundling ten sticks into one group, done one more time.

Students learn that 300 means exactly 3 hundreds, with no tens or ones left over. Round numbers like 400 or 700 are just a clean count of hundreds, nothing more.

Students count forward to 1000 and practice jumping by 5s, 10s, or 100s. Skip-counting by 100s means landing on 100, 200, 300 and so on, the way a number line skips ahead in equal steps.

Students read and write numbers up to 1,000 three ways: as digits (357), as words (three hundred fifty-seven), and broken apart by place value (300 + 50 + 7).

Students look at two three-digit numbers, decide which is bigger or smaller using the hundreds, tens, and ones places, then write the result using the symbols >, =, or <. They also put a group of numbers in order from least to greatest.

Students add and subtract two- and three-digit numbers by thinking about hundreds, tens, and ones. They use what they know about how numbers are built to solve problems, not just memorize steps.

Adding and subtracting any two numbers up to 100, quickly and without much help. Students use what they know about tens and ones to work through the math.

Students add up to four two-digit numbers at once, grouping tens and ones to make the work easier. This builds on what they know about how numbers are put together.

Students add and subtract numbers up to 1,000 by breaking them into hundreds, tens, and ones. Sometimes a group of ten ones needs to be bundled into a ten, or a ten broken apart, to make the math work.

Students add or subtract 10 or 100 from any three-digit number in their head, no pencil needed. The hundreds digit or tens digit changes by one; everything else stays the same.

Students don't just solve addition and subtraction problems. They explain why their method works, using what they know about tens and ones to show the reasoning behind each step.

Students measure objects using rulers, yardsticks, and tape measures. They learn to read the marks and record how long something is in inches or centimeters.

Students pick the right measuring tool for the job, like a ruler for a pencil or a tape measure for a table, and use it to find how long the object is.

Measuring the same object with a short unit (like a paperclip) and a long unit (like a ruler) gives different numbers. Students learn that smaller units produce bigger counts, and bigger units produce smaller counts.

Students guess how long something is before measuring it, using inches, feet, centimeters, or meters. This builds number sense for real objects like a pencil, a desk, or a room.

Students measure two objects, then subtract to find the difference. For example, if one pencil is 7 inches and another is 4 inches, students say the first pencil is 3 inches longer.

Students use a ruler or number line to add and subtract lengths. For example, they figure out how much longer one object is than another, or what total length two objects make together.

Word problems ask students to add or subtract lengths, like figuring out how much longer one ribbon is than another. Students write an equation and use a symbol to stand in for the missing number.

Students place whole numbers on a number line by marking evenly spaced points starting at 0, then use the same number line to add and subtract numbers up to 100 by hopping forward or back.

Students estimate lengths by guessing whether something is closer to an inch or a foot, a centimeter or a meter, then measure to check. It builds the habit of sizing things up before reaching for a ruler.

Students read both the hour-and-minute hands on a clock face and a digital display, then record the time to the nearest five minutes. They also label the time as a.m. or p.m. to show morning or afternoon.

Students add up a mix of coins and dollar bills to solve simple story problems, then write the answer with the right symbol, like 23¢ or $1.05.

Students measure objects with a ruler and record the results on a simple picture or bar graph. They read the graph to compare lengths and answer questions about the differences.

Students measure objects with a ruler and record each result as a dot on a number line. The finished chart, called a line plot, shows at a glance how the measurements compare.

Students collect information, sort it into groups, and draw a picture graph or bar graph to show what they found. Then they use the graph to answer simple questions, like how many more or fewer items are in one group than another.

Students sort and describe shapes like squares, triangles, and hexagons by counting their sides and corners. They recognize these shapes even when the sizes or positions look different.

Students sort and sketch shapes by counting their sides, corners, or flat faces. They name specific shapes, including triangles, four-sided figures, five-sided figures, six-sided figures, and cubes.

Students cut a rectangle into a grid of equal squares, then count every square to find the total. It's an early look at how multiplication and area work.

Cutting a circle or rectangle into equal pieces, students name each piece a half, third, or fourth. Two halves or four fourths make the same whole, even when the pieces are cut into different shapes.