Grade 2 Math Curriculum

The Grade 2 curriculum introduces many mathematical concepts and the weekly 1.5-hour class is packed with new learning. By the end of Grade 2, students can add, multiply, divide as well as work with integers, up to 2-digit by 1-digit calculations. Through drills, students work cooperatively to reach a class goal. They continue to master regrouping numbers to multiples of tens and hundreds, and in addition, they are introduced to primes, composites, special numbers, and they learn to list factors. The grade 2 students later in the year locate rationals on a number line, add and subtract positive and negative rationals, and gain a deep understanding of how numbers relate to each other. In some Grade 2 classes that test pilot curriculum, the students learn to convert numbers from base 10 to other bases with a focus on learning place value. Grade 2 students all write the Spirit of Math International Contest during class time, and they write tests and an exam at the end of the year. The overall curriculum is fast-paced and engaging to our Grade 2 students.

Here’s what we cover in Grade Two:

  • Addition (2×1 and 2×2)
  • Super Speed Addition (1×1)
  • Integer Addition (1×1 and 2×1)
  • Multiplication (1×1 and 2×1)
  • Long Multiplication (2×2)
  • Division (1×1 and 2×1)


  • Regrouping: Making groups of ten (adding 4 to 8 one- and two-digit positive and negative numbers)
  • Integers (adding positives and negatives)
  • Primes, composites, factors, and perfect squares
  • Rationals (fractional distances on a number line)


  • Consecutive number problems (e.g. finding the number of pages read in a book given the first and last pages read)
  • Heads & Legs (e.g. given the number of heads and legs counted, how many of a particular two-legged or four-legged animal are there?)
  • Venn Diagrams (extension from grade 1, including the “neither” category)
  • Before & After/Date Problems (e.g. what is 3 days before 2 days after Sunday?)
  • “Handshakes” problems (e.g. If 15 people all shook hands with each other, how many handshakes is that?)
  • Alphamath (introductory code-breaking)
  • Sum of a Series (e.g. find the sum of all positive integers from 1 to 20)
  • Chords/Lines and Regions (dividing up a circle using straight lines (chords) to yield a maximum number of regions and extracting pattern based on the number of chords used)
  • Rate Problems (e.g. If I can eat 3 apples in 15 minutes and you can eat 6 apples in 15 minutes, how many apples can we eat together in 10 minutes?)
  • Spirit of Math Contest (annual nation-wide contest)
  • Working in groups of 3 to 4 students to solve the POW (Problem of the Week)
  • Comparing and discussing homework solutions
  • Strengthening communication and social skills
  • Learning how to share ideas on how to collaboratively solve problems
  • Developing critical thinking and decision-making skills

Grades are available online and parents receive three report cards each year. Our students will demonstrate their understanding through:

  • Three Unit Tests (at Lessons 5, 13, 23 and 33)
  • Final Comprehensive Exam
  • Independent Assignments (Black & Orange Gumdrops, January Thaw)
  • Assignment of the Year (creating 50 different equations equaling any number from 1-100 using only 4 digits)
  • Wise Wizards problem set
  • Problem Poster Project
  • Mighty Mathematicians research project