Grade 2 Math Curriculum
Numbers and Arrays
Even though 2nd grade math students have already learned numbers up to 120, it is good practice to brush up on these numbers. Students can find it difficult to recollect the right sequence of numbers if they are not using them frequently. This section also introduces the concept of arrays—a method of arranging numbers and objects in a pattern to understand the underlying structure of a number.
Number Name 1 to 50
- 12 in Words
- 15 in Words
- 30 in Words
Greater Than and Less Than Symbol
Numbers in Words
Numbers can either be represented using numerals or number names. Second grade math students need to have a thorough understanding of both methods of representing numbers.
Number Name 1 to 50
Here, the students will learn the number names for various numerals starting from 1 to 50. This will help students recollect what they have learned in the first grade.
12 in Words
15 in Words
30 in Words
Greater Than and Less Than Symbol
Once students are comfortable with numbers, the next step is to understand the relationship between numbers. Students need to know the relative values of numbers with respect to other numbers in the system. Using the ‘greater than’ and ‘less than’ symbols will help them compare, find the relationship between any two numbers. In case of more than two numbers this will further help put the numbers in order either from smaller to bigger or bigger to smaller .
Greater Than Symbol
The ‘greater than’ symbol is used to establish a relationship between two numbers. When it is used between two numbers, it states that the first number is greater than the second number.
Less Than Symbol
The ‘less than’ symbol, just like the ‘greater than’ symbol, is used to express the relationship between two numbers. When it is used between two numbers, it states that the first number is less than the second number.
Even and Odd Numbers
Second grade math students will learn about odd and even numbers. Even though they seem like basic patterns observed in numbers, the concept of odd and even numbers form the foundation of math operations that will be discussed in higher grades.
Operations on Even and Odd Numbers
Once students are familiar with the concept of odd and even numbers, they will learn how to perform operations on them to identify the common pattern or property they follow.
Operations on Numbers
Second grade math students will perform basic operations on numbers i.e. addition and subtraction in various problem situations. It is important for a 2nd grade student to be comfortable with the techniques like how the two operations addition and subtraction are related and usage of strategies like addition facts used while operating on numbers.
Addition to 100 Strategies
Addition is the operation that involves adding two or more numbers. Second grade math students will learn how to add numbers up to 100 using simple addition problems. Later on, students will learn various strategies to effectively operate on two numbers. . Second grade math problems, will reinforce the concept of addition.
Fluency and Strategies in Addition of Numbers
Second grade math students need to be fluent in the addition of numbers. Learning multiple strategies like number line, addition facts, relation between addition and subtraction, doubling and halving along with using real-life objects will help them achieve the required fluency.
Addition Strategy
Here, 2nd graders will be introduced to multiple strategies that can be used for the addition of numbers. Each strategy will be discussed in detail in separate articles.
Addition of Numbers using Number Line
Number line is one of the most fundamental mathematical visual model to learn the addition of numbers. Second grade math students will get a visual model to internalise the otherwise abstract concept of addition when they do the operations on a number line.
Addition of Numbers using Place Value
Place values are the building blocks of the 10 base decimal number system. Students will be able to perform the addition of larger numbers using the place value method.
Addition of Numbers using Decomposition Method
Addition using decomposition is built upon the concept of addition using place value. Once second graders learn these strategies of addition, they will be able to learn different math operations. This strategy will help them in mental addition later on.
Subtraction to 100 Strategies
Subtraction is the process of taking awaysome quantity from the given quantity. Here, 2nd grade math students will learn how to perform subtraction on numbers up to 100 using simple subtraction strategies. Learning to perform subtraction using multiple strategies will help students understand the concept thoroughly.
Fluency and Strategies on Subtraction of Numbers
As subtraction is one of the basic operations in math, 2nd grade math students need to be fluent with the subtraction of numbers using various strategies
Subtraction Strategies
Second grade math students need to learn multiple strategies to solve subtraction problems efficiently . This section will introduce students to various strategies that can be used while subtracting numbers. Each strategy will be discussed in detail in separate articles.
Subtraction of Numbers using Number Line
The number line provides a visual representation to operate on numbers in a strategic manner. This will help students understand the concept of subtraction and master it.
Subtraction of Numbers using Decomposition Method
In the decomposition method, students will learn to break down to smaller numbers before they are used for operations like subtraction. This will enable students to operate on numbers using number sense than mechanically operating on digits and solving using thumbs rules.
Subtraction of Numbers using Models
The usage of concrete and visual models is a widely adopted strategy for learning math. This strategy is beneficial for 2nd grade math students learning the otherwise abstract concept of subtraction.
Understand Place Value to 1,000
Place value form the building blocks for understanding large numbers. Having a thorough understanding of place values will help students get acquainted with larger numbers quickly. Hence, second grade math students need to have an in-depth understanding of place values before they move on to larger numbers.
Understanding Place Value
Place value determines the value of each digit in a number, depending on its position. Understanding place value will enable students to perform math operations quickly.
Represent Number in Different ways using Place Values
A number can be represented in multiple ways using place values. Learning this concept will make the students more comfortable dealing with the different methods of representing numbers.
Concepts of Counting
Second grade math students have already ticked off this item from the second grade skills checklist. Even though they are comfortable with counting objects, this section will help them reinforce their understanding og large numbers with the help of second grade math problems.
Concepts of Counting using Place Value
Second graders are made toreimagine the concept of counting using the concept of place value. This will help them count and handle larger quantities easily.
Concepts of Counting using More or Less Numbers
Counting using more or less numbers is a strategy that helps develop number sense.Students will learn this variation to gain a wider perspective of the concept.
Skip Counting
Skip counting is an essential skill as this lays this helps internalise the number system and discover the patterns. Students will solve math problems designed for second graders to learn this concept.
Add Numbers within 1,000
Now that students know how to add numbers up to 100, it is time to scale up their abilities. Here, the students will be introduced to the addition of numbers up to 1000. Students should find themselves well equipped to add large numbers since theyhave learnt multiple strategies to perform the addition operation. The adding of large numbers upto three plave value further encourages them to choose from various strategies and methods and solve addition problems efficiently
Addition of Numbers using Partial Sum
In this method, second graders will learn how to use the place values to find the partial sum of two numbers. This method supports mental addition of numbers.
Addition of Numbers using Regrouping of Places
The addition of numbers using regrouping is an important method that most students will need to handle addition problems when two or more digits at a given place add to 10 or more than 10. This is a precursor to shifting students towards the standard algorithm of adding numbers.
Addition of Numbers using Partial Sum and Regrouping of Places
Now that students are familiar with addition using partial sum and regrouping of places, we can combine these two methods to perform addition easily.
Addition of Three and Four Digit Numbers
Here, second grade math students will learn to generalise their understanding of adding two-digit numbers to add three-digit numbers and four-digit numbers. Students will get acquainted with working with larger numbers.
Subtract Numbers within 1,000
Second grade math students will learn subtraction of numbers up to 1000. This learning will be an extension of what they have learned in subtraction of smaller numbers and addition of larger numbers. As students are already familiar with working with larger numbers, they will find it easy to perform subtraction of big numbers.
Subtraction of Numbers using Regrouping
The regrouping method is required for both addition and subtraction. Here, the students will learn to subtract two numbers when the subtrahend has a digit which is greater than the digit for the given number at the same place value.
Subtraction of Numbers using Addition of Numbers
Subtraction is the inverse operation of addition. Hence, subtraction can be performed using addition. Students will learn this strategy of subtraction in this section.
Subtraction of 3-digit Numbers
It is important for a second grader to feel at home while performing subtraction with any number. The math problems for second graders will help them perform subtraction of three-digit numbers easily.
Measure and Estimate Lengths
Students have already learned to apply math concepts to the physical world by learning to measure the lengths of objects around them. In this section, they will expand on what they have learned and learn the concept of estimation of length of various object around them using non-standard units.
Measuring the Length of an Object
Second grade students have already learned how to measure the length of an object. This concept has to be reiterated with more challenging problem situations as students need to be thorough with the concept.
Estimating Object Length using Different Units
Students will learn how to estimate the length of objects using different nonstandard units. This section will be backed by math problems for second grade students, as they need the practice to understand the concept.
Addition and Subtraction of Length Units
Now that 2nd grade students are comfortable with addition, subtraction, and the concept of measuring lengths, it is time to combine these three concepts and learn how to add and subtract units of length.
Represent and Interpret Data
Apart from learning numbers and how to manipulate them using math operations, students also need to learn efficient ways to represent data. Second graders will learn deeply about the different ways of representing data in this section.
Data and Survey
The first step in data collection is to survey data. Here, the second grade math students will learn how to collect data and organize them in a way that is easily understood.
Interpretation of Tally Graph
Tally graphs are one of the most basic methods used to organise data. Students will learn about tally charts in detail and solve second grade math problems related to data handling.
Interpretation of Bar Graph
A bar graph is a method of data representation that students will use throughout their school. They will be introduced to the basic concepts of bar graphs in this section.
Plotting of Lines
Plotting lines based on the collected data will give students a visual representation of the data they have in hand. Students will solve 2nd grade math problems to understand the steps involved in plotting lines.
Money and Time
Money and time are concepts that take math out of the books and make learning it fun and useful to solve the real world problems. Concepts like money and time are concepts that have real-world connect. Understanding these concepts is essential for all students. So, 2nd grade students will solve many math problems related to money and math.
Total Money Value
A given amount can be represented using the different denominations. Here, the second graders will learn the value of each denomination and how they are used for transactions.
Conversion of Money Units
Second grade students have already learned about the various denominations of money. Now, students will learn how to convert money from one denomination to another as part of handling and solving real life situations.
Word Problem on Money
As money is an important real-life application of math, students need to have a detailed understanding of it. Solving second grade math word problems will help students learn more not only about handling money in real life context but also appreciate math as a useful activity.
Time Before & After
Reading time, keeping track of time, and being able to schedule tasks are life skills that second grade students will acquire from school. Check out these free online courses to learn how to read the time.
Measurement of Time using Units
Time is measured in different units like seconds, minutes, hours, and so on. Second grade math students will learn how these units are used to measure time.
Identify and Partition Shapes
Identifying and partitioning shapes is a fundamental concept of geometry. As this chapter is based on real-world objects with which students interact, students usually find it really interesting. In this section, 2nd grade math students will solve math problems related to identifying and partitioning shapes.
Identifying 2D Shapes
Two-dimensional shapes are shapes that have length and breadth. Students will learn how to identify different types of two-dimensional shapes and solve math problems based on them.
Identifying Cubes and Rectangles
After learning about two-dimensional shapes, the next step is to learn the basic three-dimensional shapes like cubes and cuboids. Here, students will understand the relationship between two-dimensional shapes and three-dimensional shapes.
Identify Angles of Polygons
The angles observed in shapes and objects is one of the most important concepts in geometry. Second graders will learn what is an angle, how to identify the various angles present in shapes having multiple sides.
Regular Hexagon
A regular hexagon is a shape that has six equal sides and six equal angles. As hexagons are common shapes, students will learn about the properties of the angles formed in this specific shape.
Partitioning Shapes into Equal Shares
Partitioning shapes into equal shares is an important topic as it forms the foundation of concepts like fractions and ratios. Second graders will solve questions based on partitioning real-world objects into equal shares.
Make your child Math confident for life
Ace concepts of mathematics with personalized learning
Make your child Math confident for life
Ace concepts of mathematics with personalized learning
Helpful Resource for your Kids
Math worksheets are an incredible learning tool that helps students practice their basic math skills. Solving math worksheets regularly helps your child to be more confident in mathematics. Click the links below to download free online math worksheets for your kids to practice.
As the concepts discussed in second grade are fundamental, students need proper exposure and a reliable set of resources. Second grade students can improve their performance in math by practicing questions available for free on BYJU’S Math.
There are multiple methods to perform the addition of numbers. Students can learn various strategies and methods on BYJU’s Math and choose the method they are most comfortable and solve the problems efficiently.
As it is discussed in one of the topics, subtraction is the inverse operation of addition. Once second graders are comfortable with addition, they will be able to use the understanding and knowledge of addition to solve subtraction problems easily.
Two-dimensional shapes and three-dimensional shapes are fundamental to the field of geometry—a branch of math. So, students should be able to identify these shapes starting from a young age.
To learn larger numbers easily, emphasis should be on number sense and understanding of place values. Number sense helps student appreciate the meaning and value of a number and how it is related to other numbers. Knowing place values will help students understand how big numbers can be formed using the small numbers that they have already studied.