During the second grade, 2nd grade math students are at transition phase. They are building on the very basic skills they have learned while taking on ever more complex math for their age. It's a pivotal year for math and success in second grade math can make later years much easier. The proportional amount of math knowledge gained during second grade is some of the most diverse they will learn until high school.
Second graders should be expected to identify and write numbers from 1 to 1000 coupled with being able to point out numbers, when requested, from 1 to 1000. They should also be able to understand that the numbers in a list are the same, no matter what order they are in. Students are introduced to the idea of division and learn how to multiply basic numbers together. They are also expected to do simple word problems that use addition and subtraction.
2nd grade math students should be be able to make simple comparisons between objects and be able to measure using spoons, cups and rules. They should be introduced to the idea of inches, feet, centimeters and meters. They should be able to compare different measurement tools.
Second graders should be able to describe shapes and as well as build using different shapes. They should be able to identify geometric shapes in the world around them. Furthermore, they should be able to make patterns when given different shapes.
2nd grade math students should be able to make very simple graphs denoting 1 or 2 different attributes. They should know how to construct a very basic bar graph. Finally, they should be able to investigate the results when you flip coins or roll dice.