7th Grade Math, Curriculum & Online Math Classes for Grade 7 @BYJUS

7th Grade Math

Students need extra attention and support for learning seventh grade math topics. Concepts such as operations on rational numbers, ratios and proportions, probability, surface area and volume, and statistics discussed in seventh grade require constant revision and lots of practice. Seventh graders may feel a need for assistance outside what they are taught in their school. BYJU’S Math offers free online math courses that will help students improve their math skills....Read MoreRead Less

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Grade 7 Math Curriculum

Adding and Subtracting Rational Numbers

Rational numbers are numbers that can be expressed in the \(\frac{p}{q}\) form, where \(p\) and \(q\) are integers and \(q \neq 0\). Sixth grade math students will start their journey by learning to do addition and subtraction on rational numbers.


Rational numbers

The set of rational numbers are numbers that can be written in the form ab where a and b are integers and \(b \neq 0\). Rational numbers is the group of all numbers that seventh graders have already learned. 


Properties of rational numbers


Finding the absolute values of rational numbers



Integers are numbers that can be written without a fractional component. Integers can be negative numbers, zero, or positive numbers. 


Addition of integers


Addition of rational numbers

Now that students are familiar with rational numbers, they will learn to perform arithmetic operations on them—starting with the addition of rational numbers. 


Subtraction of different types of rational numbers

Seventh grade students will enhance their understanding of rational numbers by learning to perform subtraction.


Operation on rational numbers

Multiplying and Dividing Rational Numbers

Learning multiplication and division of rational numbers is the next big step in getting familiarized with rational numbers. Here, students will solve seventh grade math problems for a thorough understanding of the concepts.

Multiplication of integers

Multiplication of integers is similar to the multiplication 7th graders are already familiar with, but with the exception of signs of numbers. So multiplication of integers will help students understand how the sign of a number changes while performing arithmetic operations on them. 


Dividing operations on integers

As division is the inverse of multiplication, students can easily learn the division of integers. They will solve math problems for seventh graders to master the concept. 


Operations on integers using signs and inductive reasoning

The sign of an integer can change after performing an operation on it. Students will focus on the conditions related to the sign change of integers. 


Multiplication operation on rational numbers

Students will learn to perform multiplication operations on rational numbers by solving seventh grade math problems. 


Division operations on rational numbers

Seventh graders will find it easy to perform the division of rational numbers as it is just the inverse operation of multiplication.


Conversion of mixed numbers

Here, students will learn to convert mixed numbers into improper fractions and then into decimals.


Expressions are mathematical phrases made up of numbers, symbols, and unknown values called variables. Students learn about like terms. They further see how terms make up expressions and expressions make up equations.


Algebra is the study of mathematical symbols and the rules for manipulating these symbols in formulas. We can represent and solve real-life problems or situations as mathematical expressions using algebraic concepts.


Algebra symbols


Basics of algebra




Operations on algebraic expressions

We can perform operations on algebraic expressions, just like how it is possible with arithmetic expressions. Students will solve 7th grade math problems based on different operations on algebraic expressions.


Distributive property on algebraic expressions

The distributive property is a number property that helps us evaluate algebraic expressions. Students will learn to use the distributive property with the help of solved examples.

Equations and Inequalities

An equation is a mathematical formula that expresses the equality of two expressions. On the other hand, inequality is a representation of a mathematical statement that compares expressions.

Algebraic equations

Algebraic equations are mathematical formulas that contain mathematical symbols like numbers, operators, and variables. 


Linear equations


Difference between linear and nonlinear equations


Solving equations using different operations: Addition and Subtraction

Seventh grade math students will learn to solve equations using simple operations like addition and subtraction.


Solving equations using different operations: Multiplication and Division

Now that seventh graders have learned to solve equations using addition and subtraction, they will learn how to use multiplication and division operations to solve algebraic equations.


Solving equations using different operations

In this section, students will learn to use multiple operations to solve an equation. Students can practice questions from this online math course to master this concept.


Inequalities and graphs of inequalities

Inequalities are representations of mathematical statements that compare expressions. Students will learn the basic concepts related to inequalities and the steps involved in plotting the graphs of inequalities.


Solving inequalities using different operations: Addition and Subtraction

Inequalities can be solved using simple operations like addition and subtraction, just like how students learned to solve equations.


Solving inequalities using different operations: Multiplication and Division

In this section, students will learn to use multiplication and division operations to solve inequalities. 


Solving inequalities using different operations and graphing

Inequations can be solved using multiple math operations. Here, students will learn to graph inequalities after solving them.

Ratios and Proportion

Ratio and proportion are closely-related concepts. A ratio is a comparison between two quantities having the same unit. On the other hand, a proportion is an equation that states the equality between two ratios.


Ratios and ratio tables

We use ratios to compare two quantities of the same unit. For example, we use ratios to compare the number of apples to the number of oranges in a fruit basket. Students will learn to create a ratio table to express equivalent ratios.  


Writing and interpreting ratios


Completing a ratio table


Identifying proportional relationships

Proportions are equations that express the equality of two ratios. Seventh graders will learn to identify proportional relationships among quantities using different properties.


Graphs of proportional relationships

Proportional relationships can be represented as a graph by plotting the points in the ratio table in a coordinate plane and drawing a line through them. 


Solving ratio and proportion problems using scale drawings

A scale drawing is a two-dimensional drawing that represents an object, reduced or enlarged by a specific factor. 


Scale factor


A percent is a number or a ratio expressed as a fraction of 100. We use percents to express scores, discounts, markup, and so on. Students will learn how to calculate percents by solving different problems in this free online math course.

Fractions, decimals, and percents

Fractions, decimals, and percentages are different ways of expressing the same quantity. Seventh graders will learn to interconvert fractions, decimals, and percents.


Percent to find the missing quantities

In this section, seventh grade math students will learn to find missing or unknown quantities using percents. 


Percents of increase and decrease

A change in value can be expressed using percents. Students will learn separate formulas to calculate the percent increase and percent decrease of values. 


Discounts and markups

Discounts and markups are terms used quite frequently in business environments. In this section, 7th graders will learn formulas used to calculate discounts and markups by solving different problems based on real-life situations. 


Simple interest

Interest is the price gained when money is borrowed or the cost charged to lend money. Seventh graders will learn the formula used to calculate simple interest. Simple interest is a method to calculate interest.


Probability is a branch of mathematics that deals with the numeric representation of how likely an event is to occur. Seventh grade math students are introduced to the concept of probability.


The chance or likelihood of an event occurring can be described mathematically using the concept of probability. Students will learn to find the probability of an event by using the concept of relative frequency. They will also solve seventh grade math problems based on the same concept. 


Probability and statistics


Experimental and theoretical probability

Any two of the approaches can be used for finding the probability of an event occurring: experimental probability and theoretical probability. Seventh graders will learn both methods and the differences between them. 


Compound events

A compound event consists of multiple simple events happening simultaneously or in succession. Here, 7th grade students will learn the method of calculating the probability of outcomes of a compound event. 


Sample space


Types of events in probability


Simulations in probability

A simulation is a virtual imitation of real-world events. We use simulations to replace real-world experiments when they are not feasible. Simulating events allows us to calculate the experimental probability without actually performing the experiment.


Statistics is the branch of mathematics that deals with the collection, arrangement, analysis, interpretation, and display of data. Seventh grade math students will learn about statistical concepts related to sampling in detail.

Geometric Shapes and Angles

Geometry is the study of the properties of points, lines, surfaces, and solids. Seventh grade students will learn geometric concepts about different shapes and the formulas for measuring the area, perimeter, and angle measures.


Geometry symbols

Seventh graders will come across different symbols while learning concepts related to geometry. They need to learn these geometric symbols in order to understand these concepts. 


Parts of a circle

A circle is a round shape whose boundary consists of infinite points that are equidistant from a central point known as the center. Students will learn different parts and terms associated with circles. 


Radius of a circle


Properties of circle




Value of pi


Calculating the area and circumference of a circle

Here, 7th grade students will learn the formula to calculate the area and circumference of circles. 


Calculating the area and perimeter of composite figures

Composite figures are shapes made up of multiple two-dimensional shapes. Students will learn how to calculate the area and perimeter of composite figures. 


Polygon construction using angles and side lengths

Seventh graders will learn to construct polygons whose measure of angles and lengths of sides are known. 


Finding unknown angle measures

Finding unknown angles in figures is a combination of algebra and geometry. Here, seventh graders will learn to use different properties to find the measure of unknown angles.

Surface Area and Volume

Surface area and volume are terms that we use to measure or quantify the size of three-dimensional figures. In this chapter, students will learn different types of three-dimensional figures, their classifications, and the formulas related to them.


A prism is a three-dimensional shape in which two congruent polygonal faces which are the bases are connected by flat surfaces. Prisms are categorized based on the shape of their base. Students will learn the formulas used to find the area and volume of different types of prism. 


Rectangular prisms


Triangular prisms


Surface area of prisms



A cylinder is a three-dimensional figure that is made up of two congruent circular bases with a curved surface connecting them. Seventh graders will learn the formula used to calculate the surface area of cylinders. 


Surface area of a cylinder



A pyramid is a three-dimensional shape formed by connecting its lateral triangular faces to a common vertex known as the apex. Pyramids are categorized based on the shape of their base. This section focuses on different types of pyramids and the formulas associated with them.


Square pyramid


Surface area of a pyramid


Volumes of prisms


Volumes of rectangular prisms


Volumes of pyramids


Difference between area and volume

Area and volume are used for the same purpose—to measure the size of three-dimensional shapes. But these quantities are fundamentally different, and they are measured using different methods. 


Cross sections of three-dimensional figures

A cross-section of a three-dimensional figure is a two-dimensional figure obtained by the intersection of a solid and a plane surface. In other words, it is the shape obtained by slicing a three-dimensional figure.

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

Online Math Worksheets are an excellent learning tool that helps your child to focus on math while also teaching core fundamentals and step-by-step problem-solving skills. Click the links below to download grade 7 free printable math worksheets.

Frequently Asked Questions

In the 7th grade, students will expand their knowledge in number theory by learning to perform operations on rational numbers and integers. 7th grade math students will also learn about expressions, equations, and the steps involved in solving them. They will also learn about ratios, percents, probability, and statistics. Finally, they will learn geometric concepts like surface area and volume of solids.

To learn 7th grade math concepts, students need to be fluent in arithmetics, solving algebraic equations, basic geometric and statistic concepts, and the concept of probability.

Seventh graders can improve their math skills by learning, revising, and practicing the concepts in the 7th grade math curriculum. The key to improving math skills is to practice a lot of questions. Students can make use of the free online math courses available at BYJU’S Math to achieve this goal.

Students will learn about geometric shapes like circles, composite figures and angles. Later on, they will learn how to calculate the surface area and volume of different three-dimensional shapes.