What does a student learn in StateNew Mexico,GradeGrade 2,SubjectMathematics?

Students use addition and subtraction to solve word problems, working with numbers up to 100. They figure out unknowns, like how many more items are needed to reach a total.

Students read short story problems and figure out a missing number by adding or subtracting within 100. Problems may take one step or two, and the missing number can appear anywhere in the equation.

Students practice adding and subtracting small numbers until the answers come quickly from memory. The goal is to know facts up to 20 without counting on fingers.

Students add and subtract any two numbers up to 20 in their heads, without counting on fingers. By the end of second grade, they recall those answers from memory the way they recall their own phone number.

Students count objects arranged in equal groups, like rows of chairs or bags of apples, and find the total. This builds the thinking they'll use later when they start multiplying.

Students sort a group of up to 20 objects into pairs to decide if the count is odd or even. If every object has a partner, the number is even, and students write it as two equal numbers added together.

Students count objects arranged in a grid (like a 3-by-4 arrangement of dots) by adding equal groups in each row. Then they write that as an addition equation.

Students learn that where a digit sits in a number determines its value. The 3 in 35 means three tens, not three ones.

Reading a three-digit number means knowing what each digit is actually worth. In 706, the 7 means seven hundreds, the 0 means no tens, and the 6 means six ones.

Students learn that ten groups of ten make one hundred. It's the same idea as stacking ten rows of ten blocks into a single pile, and giving that pile one name: a hundred.

Round numbers like 300 or 700 are made of hundreds only, with nothing left over in the tens or ones place. Students learn that 300 means exactly 3 hundreds, 0 tens, and 0 ones.

Students count up to 1,000 and practice jumping ahead by 5s, 10s, and 100s, like reading a number line or counting coins and bills in groups.

Students read and write numbers up to 1,000 three ways: as digits (347), as words ("three hundred forty-seven"), and broken into parts (300 + 40 + 7).

Students look at two three-digit numbers, decide which is larger or smaller by comparing hundreds first, then tens, then ones, and write the result using the symbols >, =, or <.

Students use what they know about hundreds, tens, and ones to add and subtract numbers up to 1,000. This includes working with mental math, written methods, and simple tools like a number line.

Students add and subtract any two numbers up to 100 quickly and accurately. They use what they know about tens and ones, or the connection between addition and subtraction, to work it out.

Students add as many as four two-digit numbers at once by grouping tens together and ones together before combining them.

Students add and subtract numbers up to 1,000 by breaking them into hundreds, tens, and ones. Sometimes a column doesn't have enough to subtract from, so students regroup across place values, then connect their work to a written equation.

Students practice jumping up or down by 10 or 100 in their head, starting from any three-digit number. No pencil needed: just knowing that the middle or left digit changes by one.

Students explain *why* a math strategy works, not just what the answer is. They might show why breaking a number into tens and ones makes adding or subtracting easier.

Students measure real objects using rulers, yardsticks, and measuring tapes, then make reasonable guesses about length when an exact tool isn't handy.

Students pick the right measuring tool for the job and use it to find how long something is. A short pencil gets a ruler; a long hallway might need a measuring tape.

Students measure the same object twice, once with a short unit (like a paper clip) and once with a longer unit (like a ruler's inch marks), then explain why the two numbers came out different.

Students guess how long something is before measuring it. They practice thinking in inches, feet, centimeters, and meters so their estimates get closer over time.

Students measure two objects with a ruler, then subtract to find how much longer one is than the other. The answer is always stated in inches, centimeters, or another standard unit.

Students use adding and subtracting to solve real problems about length, like figuring out how much longer one object is than another or finding a total distance on a number line.

Students solve simple story problems about length, like figuring out how much longer one path is than another, using addition or subtraction up to 100. They may sketch a ruler or write an equation to show their thinking.

Students place whole numbers on a number line and use it to add and subtract within 100, showing how jumping forward or backward on the line matches the math.

Students practice reading clocks and counting coins and bills. This work builds the everyday math skills students use outside the classroom.

Students read analog and digital clocks and write the time to the nearest five minutes. They also label whether the time is a.m. or p.m.

Students solve story problems with dollar bills and coins, writing amounts correctly with the $ and ¢ symbols. They figure out totals and make change using pennies, nickels, dimes, and quarters.

Students collect information, organize it into picture graphs or bar graphs, and answer questions about what the data shows.

Students measure several objects in whole-number units, then record those measurements on a number-line chart where each measurement gets a mark above its value.

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 total or how many more.

Students sort, compare, and draw shapes by looking closely at their sides, corners, and angles. They learn that shapes in different sizes or positions can still belong to the same category.

Students sort and draw shapes by counting their sides and corners. They learn the names for shapes with three, four, five, and six sides, plus what makes a cube different from a flat shape.

Students divide a rectangle into equal squares arranged in rows and columns, then count all the squares to find the total. It's an early look at how multiplication and area work.

Students cut circles and rectangles into equal pieces and name those pieces: halves, thirds, or fourths. They also learn that the same fraction of a shape can look different depending on how you make the cuts.