Curriculum‎ > ‎Second Grade‎ > ‎


The goal of the mathematics curriculum is to teach children that mathematics is an integral part of everyday life. Second graders explore the relationships and patterns among numbers and discover how different operations affect numbers. They also gain a conceptual understanding of place value. They continue to improve their computation skills as well as increase their repertoire of problem solving skills. Throughout the year, students explore geometric figures, fractions, money, and tools for measurement.

Problem Solving
  • Recognize, describe, extend, and create patterns
  • Recognize and classify by attributes
  • Use manipulatives to investigate and solve new mathematical situations
  • Use problem solving strategies such as looking for patterns, drawing a picture, tallying, etc.
  • Appreciate that there are often myriad ways to solve a given problem
  • Use addition and subtraction to complete or create a number pattern
  • Identify and describe what comes next in a pattern (counting by 2s, 5s , 10s or exploring patterns in a 100 chart)
  • Explore number families (2+3=5; 3 + 2=5; and 5-2=3; 5-3=2)
  • Use doubles and doubles plus one
  • Explain why an answer is correct or incorrect and whether or not the answer is reasonable
  • Discuss mathematical concepts and relationships
  • Use objects, pictures and numbers to illustrate mathematical concepts
  • Solve problems in two different ways and share written solutions


  • Explore and discuss the relationship of addition and subtraction
  • Connect mathematical applications (i.e. graphs, tables, and other math skills) to social studies, science, and children’s literature
  • Connect mathematics to the real world
Number Sense and Numeration
  • Count and write numbers 1-100
  • Count by ones, fives, and tens up to 100
  • Order a set of numbers from smallest to largest
  • Name the whole number immediately before or after a given two-digit number
  • Compare two-digit numbers and identify which is more or less
  • Use a place value model to represent numbers up to one hundred
Concepts of Whole Number Operations and Computation
  • Recognize and develop a sense of whole numbers, one-to-one correspondence, odd and even numbers and ordinal numbers
  • Use and understand place value (hundreds, tens, ones)
  • Explore the “commutative” property
  • Use concrete, pictorial, and verbal representations of operations
  • Have knowledge of addition and subtraction facts through 18
  • Add numbers with and without regrouping
  • Explore the concept of subtraction with regrouping (exchanging)
  • Use estimation and mental computation to solve problems
  • Recognize fractional parts of the whole (i.e. one out of 3 parts is shaded, 3 out of 4 parts is shaded, etc.)
  • Recognize fractions when written numerically (1/2, 1/3, and 1/4)
Geometry and Spatial Sense
  • Define the terms “point” and “line”
  • Define, describe, and classify two and three dimensional figures
  • Recognize and create symmetrical shapes
  • Recognize and describe geometric shapes and structures in the environment
  • Select appropriate tools for measuring length, time, and money
  • Explore perimeter, area, volume, weight, and temperature
  • Develop an understanding of how to measure using standard and non-standard units
  • Understand the concept of hour and minute
  • Understand the 5 minute intervals on a clock
  • Compare analog and digital clocks
  • Identify coins and match equivalent sets of coins
  • Explore the concept of decimals through the use of money
  • Explore the concept of making change

 Data Analysis and Probability

  • Make and read graphs and charts representing sets of data
  • Explore simple probability
  • Pose questions, gather and interpret data