5th Grade Math, Curriculum & Online Math Classes for Grade 5 @BYJUS

5th Grade Math

Math for fifth graders acts as a bridge between elementary-level math and advanced-level math that students learn at school. Fifth grade math students expand their knowledge of the topics they have previously learned in arithmetics and number theory and also start learning the core concepts in geometry. For students to perform well at this stage, they need strong guidance and should be supported with the right set of resources and online classes. The free online math courses at BYJU’S Math ensure exactly that. At BYJU’S Math, every class makes a difference. Every class is designed to create a champion....Read MoreRead Less

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Grade 5 Math Curriculum

Place Value

Each digit in multi-digit numbers has a different value. The value of a digit is determined by its position in the number—known as place value. Using this free online math resource, students will revise the concept of place values and apply it to simplify math operations.

Place values with whole numbers

Whole numbers are often termed as counting numbers. The set of whole numbers include 0, 1, 2, 3, and so on. In the fifth grade math curriculum, students will learn the place value system in whole numbers which is covered in this section.

Pattern and power of 10

Power is an expression that represents the repeated multiplication of the same number. It is important for a fifth grade math student to learn the powers of 10, which will create a strong foundation for solving more challenging problems on powers. Students will observe some patterns among the powers of 10. 

 

Place values with decimals

In decimal numbers, the whole number part and fractional part are separated by a decimal point. In math for 5th graders, students will learn the place value of digits in the fractional part and brush up their knowledge on the place value of digits in the whole number part. 

 

Comparing decimals using place values

Comparison of numbers is one of the many applications of place value and is an important topic in the 5th grade math curriculum. Fifth grade students will learn to compare decimal numbers using the place value system. They also learn more about the symbols and terminologies involved. 

 

Greater than symbol

 

Less than symbol

 

Equal sign

 

Greater than and less than symbol

 

Rounding off

Rounding off is a method of estimation that helps us save time while doing calculations. While rounding off a number, its value is changed to the nearest usable value. Mastering this 5th grade math concept helps students solve more challenging problems. 

Numerical Expression

An expression is a mathematical statement containing numbers, variables, and operators. Fifth graders are already familiar with the basic operations of numbers. Here, they will learn to use number properties and order of operations to write and evaluate expressions.

Number properties

Number properties are a set of properties that can be used to simplify expressions. Fifth grade math students need to learn the number properties as it helps them evaluate math expression easily. 

 

More on number properties

Here, 5th grade students will learn more about number properties. They will also solve fifth grade math problems related to number properties.

 

Numerical expressions

Numerical expressions represent mathematical statements using numbers and operators. Students will learn to write and evaluate numerical expressions with the help of number properties and order of operations. 

Adding and subtracting decimals

Fifth grade students are already fluent in the addition and subtraction of whole numbers. Now, they will learn to perform the same operation with decimal numbers. 

Estimation of Numbers

In the 5th grade math curriculum, students will learn to find the approximate result of math operations using the concept of estimation. They will also learn more about compatible numbers and the rounding of numbers. 

 

Using models to add and subtract

Models are used to visualize decimals. In this section, fifth grade math students will use models to perform the addition and subtraction of numbers. Visually solving these fifth grade math problems will act as a solid base to directly solve addition and subtraction problems. 

 

Adding and subtracting decimals

Students will learn to perform addition and subtraction of decimals and solve fifth grade math problems based on the same concept. They will also strengthen their understanding of place values and regrouping. 

Multiply whole numbers

Repeated addition of the same number is termed multiplication. Fifth grade students are already fluent in the multiplication of whole numbers. But they need to revise multiplication facts before moving on to more complex topics. 

Multiply decimals

Decimals are numbers whose whole number part and fractional part are separated by a decimal point. Here, 5th graders will learn to evaluate expressions involving the multiplication of decimals and multiplication of decimals with whole numbers. 

Multiplication of decimals with powers of 10

Multiplication of decimals with powers of 10 leads to some interesting results. Fifth grade students will learn how the decimal point shifts places when it is multiplied by a power of 10. They also revise the concepts of place values.

 

Multiplying decimals

Learn how to multiply decimal numbers with the help of some solved online fifth grade math problems. 

 

Multiplication of decimals by models

Students learn about the 10 by 10 grid model that is used to represent decimals. Using models for the multiplication of decimals will help students understand the concept much better and also visualize the process. 

 

Estimation of products of decimals and whole number

Here, fifth graders will learn to estimate the product of a decimal number and a whole number. They also revise concepts of rounding and compatible numbers. 

 

Using partial products to multiply decimals

In this section, fifth grade students will learn to use the concept of partial products to multiply decimals. They will also refresh their concepts in place values. 

 

Using properties to multiply decimals

Fifth graders will learn to multiply decimals using the properties of multiplication. This will help them evaluate expressions involving the multiplication of decimals easily.

Divide whole numbers

Division is the inverse operation of multiplication. Fifth grade math students will recollect what they have learned about the division of numbers in the fourth grade. They revise terminologies such as dividend, divisor, quotient, and remainder.

Estimating quotients

Students will learn to estimate the value of quotients without actually performing the division operation. Students learn how to use division facts and compatible numbers to estimate quotients. 

 

Division of whole numbers

In this section, students will recollect the division of whole numbers and solve fifth grade math questions based on the same concept. They also learn how to relate division with multiplication. 

 

Division of 1-digit, 2-digit and 3-digit numbers

This section is an extension of what students have already learned. Students will solve problems related to the division involving divisors of 1-digit, 2-digit, and 3-digit numbers.

 

Use partial quotients

Here, students will learn the concept of partial quotients and how they can be used for division operations. Visualizations of partial quotients using an area model make learning easier and faster.

 

Division of two-digit numbers by single-digit number

Here, students will recollect the division of two-digit numbers by single-digit numbers, and they will solve math problems for fifth graders on the same concept. 

 

Division by single-digit numbers

Students will recollect the division of single-digit numbers and solve problems based on the same concept.

 

Divide multi-digit numbers by single-digit numbers

Students will recollect the division of multi-digit numbers by single-digit numbers and solve problems based on this concept. 

Divide Decimals

Now that students are familiar with the division of whole numbers, it is time to move on to the division of decimal numbers. Students will solve fifth grade math problems to be acquainted with this operation. 

Division of decimals

Division of decimal numbers is carried out in a similar manner as compared to division of whole numbers. The only difference is the presence of a decimal point. 5th grade math students will also learn about shifting the decimal point as a result of the division operation.

 

Divide decimals using models

Dividing decimal numbers using models will help students gain a visual picture of the operation.

 

More on division of decimals

Here, fifth grade math students will solve problems related to division of decimals, which will enable students to improve their skills in division.

 

Estimating quotients for decimals

Students will learn to estimate the value of the quotient of a division operation without actually performing the operation with the help of compatible numbers. 

 

Divide decimals by whole numbers

Students will learn to divide decimals by whole numbers. This part should be easy as they are already familiar with the process. They also revise concepts of regrouping.

Add and Subtract Fractions

Fractions are numbers that exist between whole numbers. Students will learn the addition and subtraction of fractions with the help of math problems for fifth graders.

Multiply Fractions

Students can solve repetitive addition of the same fraction by replacing it with a multiplication operation. Fifth grade students will learn various strategies to carry out this arithmetic operation and solve questions based on the concept.

Dividing fractions

Fractions are closely related to the division operation. In fact, any division operation can be expressed as a fraction. By solving math problems for fifth graders, students will learn to divide a fraction by another number. 

Convert and display units

Units are standard quantities used to express the measure of physical quantities. A single quantity can be measured using more than one unit. Here, fifth grade math students will learn to convert a quantity measured in one unit into another unit. 

Measurement of length in metric units

Length is a property of a physical object. We measure the length of objects to describe size or distance. In this section, students will learn the metric units of length.

 

Inches to centimeter converter

 

Relation between inch and centimeter

 

Centimeter to inches converter

 

Measurement of length in customary units

The units of measurement mostly belong to either the metric system or the customary system of units. Here, fifth graders will learn the customary units used to measure length. 

 

Metric units and customary units

The units of measurement are broadly classified into two groups: the metric system and the customary system. In the 5th grade math curriculum, students will learn about the units of measurement in both systems. 

 

Mass and capacity in metric units

Mass and capacity are properties of an object. We measure mass and capacity using different units. Using these free online math courses, students will learn the metric units used to measure the mass and capacity of objects. 

 

Convert and display units of measure

Fifth graders will learn to convert and display different units of measurement.

 

Mass and capacity in customary units

Students will learn the customary units used to measure the mass and capacity of objects. They will also solve fifth grade math problems related to the same concept. 

Coordinate Plane

A coordinate plane is a two-dimensional plane formed by the intersection of two axes: the x-axis (horizontal axis) and the y-axis (vertical axis). By using these free online math courses, students will learn concepts related to the coordinate plane and its applications. 

Volume

The amount of space occupied by a three-dimensional object is known as its volume. As the size of the object increases, the volume occupied by it also increases. Fifth grade students will learn to find the volume of different types of solids.

Classifying triangles

Triangle is a polygon. It has three sides and three angles. Triangles can be classified based on two categories: sides and angles. Students will learn about different types of triangles in this section. 

Triangle

A triangle is a polygon that has three sides and three angles. It is one of the most basic shapes in geometry. Here, 5th grade students will learn properties related to triangles and solve problems based on them. 

 

Properties of triangle

Triangles have unique properties relating to the length of their sides and the measure of their angles.

 

Classification of triangles based on sides

Triangles can be classified into different categories based on the length of their sides. Fifth graders will learn properties related to each category of triangles.

 

Equilateral triangle

 

Isosceles triangle

 

Isosceles right triangle

 

Properties of isosceles triangle

 

Scalene triangle

 

Classification of triangles based on angles

Triangles can also be classified based on the measure of their angles. Students will learn the properties related to each type of these triangles. 

 

Acute triangle

 

Obtuse triangle

 

Right triangle

 

Equiangular triangle

 

Classifying Quadrilaterals Based on Their Angles and Sides

Just like triangles, quadrilaterals can also be classified on the basis of the length of their sides and the measure of their angles. Students will learn about each type of quadrilateral and solve questions based on them. 

 

Quadrilaterals and their properties

Quadrilaterals are shapes that have four sides. Quadrilaterals are divided into different types based on the length of their sides and the measure of their angles. Students will learn the properties associated with each type of quadrilateral. 

 

Types of quadrilaterals

Quadrilaterals are two-dimensional shapes that have four sides and four angles. There are different types of quadrilaterals that can be classified based on the properties of their lengths or angle measures. Here, students will learn in detail about different types of quadrilaterals. 

Trapezoid

 

Parallelogram

 

Rectangle

 

Rhombus

 

Square

 

Classify quadrilaterals by their angles and sides

Quadrilaterals are classified into different types based on the length of their sides and the measure of their angles. Fifth grade students will learn to classify quadrilaterals based on these properties. 

 

Quadrilaterals and their properties

In this section, students will learn about different types of quadrilaterals and the unique properties associated with each type. They will also solve fifth grade math problems based on the same concept. 

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Frequently Asked Questions

Fifth grade students can improve their math skills by practicing lots of questions. Check out the free online classes offered by BYJU’S Math from the fifth grade math checklist.

The geometric concepts discussed in fifth grade are unit conversions, coordinate geometry, the volume of three-dimensional shapes, the classification of triangles, and the classification of quadrilaterals. 

Triangles are classified based on the length of their sides and the measure of their angles. 

Two-dimensional shapes don’t have volume as they don’t take up space in three dimensions. Volume is a property of three-dimensional shapes. We use both surface area and volume to describe the size of three-dimensional shapes, but we only use area and perimeter in the case of two-dimensional shapes.

Students will use fractions frequently to solve math problems in higher grades. Hence, it is important for a fifth grader to learn how to perform operations with fractions. The free online math courses by BYJU’S Math will help fifth grade students strengthen their conceptual understanding of fractions.