6th Grade Math, Curriculum & Online Math Classes for Grade 6 @BYJUS

# 6th Grade Math

Sixth grade is the stage when math students start learning advanced concepts in algebra, geometry, number theory, and statistics. This is a crucial period in the journey of a sixth grader as their understanding of advanced concepts that will be taught later depends on the foundation that they build in sixth grade. BYJU’S Math will help students build this foundation and improve their math skills by offering free online math classes and worksheets....Read MoreRead Less

Select your child's grade in school:

## Grade 6 Math Curriculum

### Numerical Expressions and Factors

Numerical expressions are mathematical statements made with a combination of numbers and math operators. Sixth grade math students will learn to evaluate expressions and factorize numbers present in expressions.

### Fractions and Decimals

Fractions are numbers that exist between two whole numbers. They can be expressed as decimal numbers with the whole number part and the fractional part separated by a decimal point. Here, students will solve sixth grade math problems to understand the relationship between fractions and decimals.

#### Operation on fractions

Fractions are numbers that lie between two whole numbers. We can perform arithmetic operations on fractions, similar to how we do with whole numbers.

#### Operations on fractions using division of mixed fractions

Mixed fractions, or mixed numbers, are expressed as a combination of whole numbers and fractions. Students will solve math problems for sixth graders to get acquainted with operations on fractions.

#### Decimals, percents and fractions

Students will learn to express a quantity as a decimal, percent, or a fraction. They will also solve sixth grade math problems based on this concept.

#### Multiplying decimals

Sixth grade math students will learn different strategies that can be used to multiply decimal numbers easily.

#### Dividing decimals

The steps followed while dividing decimal numbers are similar to the steps followed for whole numbers. Students will understand the steps by solving math problems for sixth graders.

### Ratio and Rates

A ratio is a comparison of quantities that have the same units. On the other hand, a rate is a comparison between two quantities that have different units. Students will learn how to represent rates and ratios and solve simple problems based on them.

#### Understanding ratios

A ratio is a relationship between two quantities showing the number of times one quantity is contained in the other. Sixth graders will learn to form ratios and solve questions based on them.

##### Equivalent ratios

Ratios, just like fractions, can be expressed in multiple ways using different combinations of numbers. The ratios that have the same value, despite having different numbers, are known as equivalent ratios.

#### Creating ratio tables

A ratio table helps students list down equivalent ratios. Here, 6th grade math students will learn to create a ratio table using different methods and use them to solve math problems.

#### Graphing ratio relationships

The relationship between two quantities, or ratios, can be graphed by plotting the data in the form of ordered pairs in a coordinate plane. Students will learn to use this concept to solve sixth grade math problems.

#### Unit rates

A rate is a ratio that compares two quantities having different units. A unit rate compares a quantity with one unit of another quantity. Students will learn some real-life instances where unit rates are used.

#### Converting measures

A single quantity can be measured using different units. Here, 6th graders will learn to convert quantities measured in one unit into another unit.

### Percents

A percent is a number or ratio expressed as a fraction of 100. Students will learn various real-life applications of percents, and they will solve math problems based on the same concept.

#### Percents and fractions

Percents are fractions in which the denominator is 100. Students will learn to convert percents into fractions, and fractions into percents.

#### Comparing and ordering fractions, decimals and percents

Now that sixth grade math students know how to convert fractions, decimals, and percents interchangeably, they will learn to compare and order them by converting them into a common form.

#### Solving problems based on percent

Here, students will solve sixth grade math problems related to percents, which will enhance their understanding of percents.

### Algebraic Expressions and Properties

Algebraic expressions are mathematical statements made up of numbers, operators and unknown quantities known as variables. Students will learn how to express statements using algebraic expressions.

#### Algebraic expressions

Mathematical statements made up of numbers, operators, and variables are known as algebraic expressions.

#### Writing algebraic expression

Students learn how to write a given statement in the form of an algebraic expression. These math problems for sixth graders build their foundation to solve further difficult problems on the same topic.

#### Properties of addition and multiplication

Students will learn the properties of addition and multiplication that can be used to express statements as algebraic expressions.

#### The distributive property

The distributive property is a number property that can be used to simplify numerical and algebraic expressions.

#### Factoring expressions

Sixth graders will learn how to factorize algebraic expressions. This online math course gives students a clearer picture on how terms are grouped and in turn be factored.

### Equations

Equations are mathematical formulas that state the equality between two expressions using the ‘equal to’ (=) sign. Here, 6th grade math students will be introduced to the various strategies used to solve equations.

### Area, Surface Area, and Volume

Area and volume are quantities used to describe the size of objects. We use the concept of area to measure the size of two-dimensional objects, and we use surface area and volume to measure the size of three-dimensional objects.

#### Parallelograms

A parallelogram is a quadrilateral in which the opposite sides are equal and parallel. Students will learn the properties related to parallelograms and solve questions based on them.

#### Triangles

A triangle is a simple polygon. It has three sides and three angles. Here, students will learn further properties of triangles and also learn how to calculate the area of a triangle.

#### Parallelograms, trapezoids and kites

Quadrilaterals are polygons that have four sides. A few examples of quadrilaterals are: parallelograms, trapezoids and kites. Students will learn the properties of each of these quadrilaterals.

#### Three-dimensional figures

A three-dimensional figure can be defined as a solid figure or a shape that has three dimensions which are length, breadth and height. Students will learn about different types of three-dimensional figures and solve questions based on them.

#### Prism

A prism is a three-dimensional shape comprising two congruent polygonal faces. Students will learn about different types of prisms and their properties.

#### Pyramids

A pyramid has a polygonal base and lateral triangular faces that join at a common point of intersection called the apex. Students will learn about different types of pyramids and their properties.

#### Rectangular prisms

A rectangular prism, also known as a cuboid, is a three-dimensional shape made up of six rectangular faces. Sixth graders will learn the properties of rectangular prisms with the help of some real-life examples.

### Integers, Number Lines, and the Coordinate Plane

Sixth graders are already familiar with whole numbers, decimals and fractions. Now, they will learn about a new set of numbers known as integers. They will also learn how integers are represented on the number line and the coordinate plane.

#### Integers

An integer is a number that can be written without a fractional component. So, integers include all negative numbers, zero, and all positive numbers that do not have a fractional part.

#### Integers on a number line and their comparison

Sixth graders will learn the comparison of integers using a number line with the help of sixth grade math problems.

#### Comparison and the absolute value of rational numbers

Here, sixth graders will learn to compare rational numbers by considering their absolute values.

#### The coordinate plane

The coordinate plane is a two-dimensional plane formed by the intersection of the x-axis (horizontal axis) and y-axis (vertical axis). A coordinate plane can be used to represent data by plotting the ordered pairs.

#### Polygons in the coordinate plane

Sixth graders will learn to represent polygons on a coordinate plane by plotting the vertices in a coordinate plane and joining the adjacent vertices with line segments to form a polygon.

#### Inequalities

Inequalities are relations that make a comparison between numbers or mathematical expressions.

#### Solving inequalities

Here, sixth grade math students will learn to solve inequalities using simple arithmetic operations.

### Statistical Measures

Statistics is a branch of math that deals with the collection, organization, analysis, interpretation, and presentation of data. Sixth grade students will be introduced to the basic concepts of statistics.

#### Introduction to statistics

Statistics is an area of study that interprets and analyzes the data collected. In the 6th grade math curriculum, students learn about basic statistical concepts.

#### Mean of data

The mean of a data set is the average value of the data set. Sixth graders will learn the formula used to calculate the mean of any data set and also solve fun problems on the same concept.

#### Central tendency

The central tendency of a data set is a single central value that can be used to describe the whole set. Students will learn different ways to calculate the central tendency of data sets.

#### Measures of variation

Variation of a data set is described as the spread or the dispersion of data values against the central value. Students will learn the concept of range and more in this section.

### Data Displays

Now that sixth graders have learned to collect, organize, analyze, and interpret data, it is time for them to learn how to display data. Students will learn various ways to display data in an easily comprehensible manner.

## 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

Some of the benefits of solving grade 6 math worksheets are as follows: improved problem-solving, facilitates time management, interactive learning and revision of portions. Click the links below to download our free math worksheets.

Frequently Asked Questions

Statistics is an important subject as it has applications in many fields including economics, finance, and so on. Hence, students start learning statistical concepts in detail starting from sixth grade.

Sixth graders are already aware of decimals, whole numbers, and fractions. But real-life math problems require the knowledge of a wider set of numbers, which include integers and rational numbers.

The math concepts discussed in 6th grade have a wide range of real-life applications. Ratios and rates are used to express relationships between quantities like speed, price per quantity, and so on. We use percents to express scores and discounts. We also use concepts like area and volume in geometry to solve math problems related to the physical world.

The three methods of calculating the central tendency of data sets are mean, median, and mode.

Knowing the volume of a shape can help us determine how much space a solid takes up. For example, we can calculate the number of boxes that can be stacked in a room by knowing the volume of the boxes and the volume or space available in the room. In some cases, it can also help us determine the amount of substance that can fit inside a shape—the space available inside a water bottle will tell us how much water can be filled in.