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Grade 6 Mathematics

Grade 6 Mathematics

In this Chapter

Grade 6 Mathematics marks a critical transition from basic arithmetic to more structured and analytical mathematical thinking. At this stage, students begin to explore abstract concepts such as variables, ratios, and algebraic expressions, while strengthening their understanding of numbers and operations.
The curriculum is designed to build confidence, improve problem-solving skills, and lay a solid foundation for future topics in algebra, geometry, and data analysis.

Articles

Addition and Subtraction of Algebraic Terms Addition in Algebra Let us understand this topic with an example. Mike has 20 more chocolate candies than Steve. Then exactly how many chocolate candies does Mike have? We shall denote Steve’s candies by the letter x. So “x” is a variable here. This can take any positive value. (because you […]

Geometry Basic Elements:    A lot of the geometric shapes and figures you have learned thus far will eventually have formulas assigned to them as you delve into the world of algebra and more advanced geometry. In order for those formulas to make physical, geometric sense, they need to be placed in what is called […]

Grade 6 Mathematics Curriculum   In Grade 6, instructional time should focus on four critical areas: (1) Connecting ratio and rate to whole number multiplication and division and using concepts of ratio and rate to solve problems; (2) Completing an understanding of division of fractions and extending the notion of number to the system of rational numbers, which […]

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How to Create a Tutor Profile on Kapdec Portal

Getting Started
Introduction A well-crafted tutor profile is your first impression. It should be complete, credible, and clearly showcase your strengths. Students are more likely to connect with tutors who present themselves confidently and professionally. Getting Started Watch Full Video here > Create Tutor Profile Step 1: Choose Your Teaching Language(s) Select the language or languages you will […]

Kapdec Dispute Resolution Guide: How to Raise and Resolve Tutoring Issues 

Policies and Legal Information
Tags: Kapdec dispute resolution, tutoring disputes, refund policy Kapdec, session issues, tutor complaints, student support, Kapdec help  Summary  Introduction  Kapdec is committed to ensuring a fair and transparent learning experience for both students and tutors. While most sessions run smoothly, there may be situations where concerns arise regarding attendance, quality, payments, or conduct.  This guide explains how to raise a dispute, what to […]

Kapdec Dispute Resolution Commonly Asked Questions  

Policies and Legal Information
Tags: Kapdec dispute resolution, tutoring disputes, refund policy Kapdec, session issues, tutor complaints, student support, Kapdec help  Kapdec is committed to ensuring a fair and transparent learning experience for both students and tutors. While most sessions run smoothly, there may be situations where concerns arise regarding attendance, quality, payments, or conduct.  Commonly asked Questions by students and teachers are below:  Q1. How do […]

How to Connect Your Bank Account to Receive Tutoring Payment on Kapdec

Getting Started
Getting Started Before you begin, make sure: Step 1: Log in to Your Account Step 2: Go to Your Account Settings Step 3: Click “Setup Account” (Stripe handles all payment and banking information securely.) Step 4: Complete Stripe Setup You have two options: Option A: Create a New Stripe Account Option B: Log in to […]

Kapdec Global: The Smart Way to Expand Your Tutoring Business Internationally

Tutor Growth Strategies
Modern tutoring has evolved beyond local classrooms. Students across the world now search online for expert guidance in STEM, competitive exams, and advanced academic subjects. Tutors, in return, want the ability to teach internationally, scale their work, and grow without being limited by geography or tools. Kapdec makes that possible. Kapdec is built for educators […]

Class Creation Platform for Tutors – Powered by Kapdec

Tutor Onboarding
STEM Class Creation Made Simple  Creating a structured, personalized curriculum is essential in STEM tutoring, yet most private tutors struggle to design a study plan that truly fits each student’s needs. This leads to inconsistent learning paths and added workload for tutors already managing multiple responsibilities. Kapdec’s Class Creation feature gives tutors a single, unified […]

Class Enrollment Automation with Kapdec Tutoring Portal

Class Management
From Scheduling Chaos to Automated Control  As student schedules change, tutors are forced into endless back-and-forth: confirming bookings, updating class times, tracking availability, and sending reminders manually. This wastes valuable teaching time and increases the risk of missed sessions, double bookings, and communication gaps. Kapdec automates the entire enrollment and scheduling workflow. Tutors publish availability […]

Student Performance Assessment at Kapdec Tutoring Portal

Teaching & Sessions
Modern education requires more than lesson delivery—it requires understanding how students learn, where they struggle, and how to improve their academic performance with precision. Kapdec’s Student Performance Evaluation system leverages AI and machine learning to provide real-time insights into learning patterns, topic difficulty, and individual progress. This system transforms instruction into a data-driven process that […]

A Complete STEM Library for Modern Tutoring

Digital Library
Kapdec’s Digital Library is a curated STEM learning hub built by academicians and validated by top educators, offering standards-aligned content across K–12 Math and Science, Honors, AP, and competitive exam prep. Tutors and their enrolled students gain access to high-quality lessons, chapter notes, and advanced resources—ensuring reliable, structured support for every learning level. Access scales […]

Tutoring Session Time-Tracker: A Unique Feature for Tutors

Class Management / Teaching & Sessions
Kapdec Session Time Tracker is a smart productivity tool designed for modern STEM tutors and academic programs that require accuracy, transparency, and minimal manual effort. Designed to support K–12, AP, and college-prep environments, it automatically records session start and end times, tracks actual teaching duration, and converts every minute into actionable reports for billing, payroll, […]

Getting Started with Global Tutoring on Kapdec

Getting Started
Teach Students Across Countries with Kapdec Overview Kapdec is designed to help tutors break geographical barriers and build a truly global teaching presence. Instead of managing multiple tools, curricula, and processes, you get everything in one unified platform. This means less time managing logistics—and more time focusing on what truly matters: teaching, student success, and growing […]

Class Scheduling Automation Designed for Private Tutors

Class Management
Introduction  The biggest problem for tutors offering private coaching is managing class schedules across different students and time zones as it quickly becomes a daily headache. Constant booking requests, new messages, cancellations, and follow-ups steal valuable teaching time and create unnecessary stress. Kapdec offers a robust solution helping tutors across the world.  Kapdec streamlines private […]

STEM Course Creation Made Simple

Class Management
Problem   Creating a structured, personalized curriculum is essential in STEM tutoring, yet most private tutors struggle to design a study plan that truly fits each student’s needs. This leads to inconsistent learning paths and added workload for tutors already managing multiple responsibilities.  Solution   Kapdec’s Class Creation feature gives tutors a single, unified system […]

Kapdec Portal Overview – Features at a Glance

Kapdec Smart Room
Kapdec provides an ecosystem that makes teaching easy, enhances tutors’ productivity, and drives better learning outcomes.   Use the powerful tools available to tutors and students, making it one of the most advanced and teacher-friendly learning platforms. Kapdec provides over 60 features to tutors for them to fully manage their tutoring business without having to worry […]

Course Curriculum for Grade 10 Mathematics – CBSE Board

High School Courses
Class 10 math, CBSE board in India, emphasizes advanced skills to establish a solid foundation for the senior grades of high school. It includes basic calculus and multivariable calculus for gifted students. Students learn about rational and irrational numbers, polynomials, functions, algebraic methods of solving a pair of linear equations, quadratic equations, arithmetic and geometric progressions, trigonometric functions, and section formulae to calculate area.

Course Curriculum for Grade 9 Mathematics – CBSE Board

High School Courses
The class nine math in the CBSE curriculum emphasizes geometry, algebra II, and mensuration. The focus on statistics and probability theory also starts to appear for students to understand those crucial topics. So the curriculum in totality offers a good knowledge of five dimensions of mathematics and helps prepare students for the upcoming grades and eventually for the competitive exams for their pursuit of a college education.

AP Calculus BC Curriculum

AP Courses
AP Calculus BC - Explore differential and integral calculus's concepts, methods, and applications, including parametric, polar, vector functions, and series. You’ll perform experiments and investigations and solve problems by applying your knowledge and skills.

How does Simplification in Algebra Work?

Grade 5
Algebra contains numbers as well as alphabetic symbols. When an algebraic expression is simplified, the resultant expression is found, which is simpler and shorter than the original one.

How do you Plot Metric Data Through Line Plots?

Grade 5
Plotting Metric Data: Line Plots   Now that we know different types of metric data and operations we can perform with them, we need to know how to plot the metric data. There are many ways to graph and plot data, but for now we are going to focus on line plots.   Above is […]

What is Basic Algebra?

Grade 5
Basic Algebra: Introduction    Variables, Constants, Coefficients There are multiple branches of mathematics. The one in which we study numbers is called arithmetic. The branch of mathematics in which we study shapes is called geometry. Algebra is the branch of mathematics which deals with restoration or completion of broken parts. It has mathematical symbols attached with it. There are […]

What are Algebraic Expressions?

Grade 5
Algebraic Expressions Introduction:     An operator is a symbol that shows a mathematical operation. For example, the symbols, “+”, “-”, “*”, “/” ; describe what we want to do with the values, wherever above symbols are present.   A term is either a variable or a single number, or variables and numbers multiplied together. For example: X, 2X, 3Y or 5.   When an operator is put in between two […]

5th Grade, Module 9: What are Profits and Losses?

Grade 5
PROFIT AND LOSS   We often hear and use the term and concept of profit and loss in our everyday life. For example, a shopkeeper sells a pen at Rs.6 whereas it cost him Rs.5. then the shopkeeper is making a profit of Rs.1. Profit and Loss chapter is an important chapter in business as […]

What is Fraction Scaling?

Grade 5
Fractions: Fractions Scaling Fractions scaling is just a fancy way to say resize or resizing. In our real world, sometimes we need to scale or resize several things like photograph, maps etc. FOLLOW THE ATTACHED ARTICLE TO UNDERSTAND FRACTIONS AND SCALING METHODS. Attachments : M5-1.4.4

5th Grade, Module 19: What is Algebra?

Grade 5
ALGEBRA Algebra is a branch of study in mathematics that deals with relations and operations. We know that a mathematical expression uses mathematical symbols instead of words. For example, the words ‘twenty-eight increased by five’, will be shown as the mathematical expression 28 + 5. If we say there were some people at a party and 7 […]

5th Grade, Module 18: What are Circles, Triangles, and Nets in Math?

Grade 5
CIRCLES, TRIANGLES AND NETS   Geometry is a branch of mathematics concerned with questions about shape, size, relative position of figures, and the properties of space. It is all about shapes and their properties. In this chapter of geometry, we will learn about   Circles, its parts and how to construct a circle; Triangles and […]

5th Grade, Module 17: What are Lines and Planes?

Grade 5
LINES AND PLANES   Lines and planes are basic topics covered in Geometry till now. However, we will expand our theory to angles. Angles and lines are important not only in theory but in practical life be it in the field of architecture or astronomy. In this chapter we will learn the concept of angles […]

5th Grade, Module 16: What is Area and Volume?

Grade 5
AREA AND VOLUME   Area and volume is a very vast topic to cover. In real life, we come across discussions related to area covered by a building or capacity of a container. The volume of a material of metal shows how precious the metal is. Therefore, it is an important chapter not only for […]

What are Measurements of Capacity?

Grade 5
Measurement of Capacity The maximum amount that something can hold is called it’scapacity. The standard unit of capacity is litre. Millilitre, centilitre, decilitre are smaller unit used to measure smaller capacity, litre is commonly used to measure capacity, whereas units like decalitre, hectolitre and kilolitre are used to measure larger capacity. All these units are related […]

What are Measurements of Weight?

Grade 5
Measurement of Weight   Standard unit of weight is kilogram. We commonly use grams and kilograms to measure weight. Gram is the basic/standard unit of weight which is written as ‘g’. All units of weight are related to each other.   We measure small weights in cg and mg and large weights g and kg.   […]

5th Grade, Module 15: What are Metric Measures?

Grade 5
METRIC MEASURES   Metric measures refer to the concepts relating to the meters or measurements. It relates to the measurement of distance, mass and capacity. We use these measures in daily life when we say 500m to Allahabad, 30cm Ruler, 1kg Mangoes, etc. In this chapter we will learn about: Units of length, mass and […]

How Does the Addition of Metric Measures Work?

Grade 5
Addition of Metric Measures   Metric measures are added in the same way as we add whole numbers or decimals. We arrange the digits in columns as per their unit and then add as required. Let us consider an example. Example- Add 4 km 9 hm 3 m 5 cm, 3 km 8 dam 2 dm […]

What are Measurements of Length?

Grade 5
Measurement of Length   We measure small lengths in cm and mm and large lengths (i.e. distances) in m and km. Standard unit of length is ‘Meter’ which is written in short as ‘m’.   1 m length is divided into 100 equal divisions. Each division is known as centimetre and written as ‘cm’. Therefore, 1 m […]

How is Temperature Related to Math?

Grade 5
Temperature   Till now we have learned various types of measurements such length, weight, capacity and time. But none of these measurements can be used to find how hot or cold any object is.   Temperature is another important aspect we refer to in our daily lives. It tells us about the degree of hotness or […]

5th Grade, Module 14: How does Temperature Relate to Math?

Grade 5
TEMPERATURE   Temperature is a very common term that we use in our daily life directly or indirectly whenever we say that today’s temperature is too high or the ice-cream is too cold or while we measure our body temperature. In this chapter we will learn about different scales of measuring temperature and conversion of one scale […]

How is Time Related to Math?

Grade 5
We often use the following phrases- classroom time table break time time of each period time to go to school school over time time to sleep time to go to play The common thing that we can see here is the word ‘time’. Let us learn more about the application of time.   We already […]

5th Grade, Module 13: How does Time relate to Math?

Grade 5
TIME   Time is a vital concept of our life as nothing is more valuable than time. Though it is an easy chapter, we will learn-   24-hour clock time vs 12-hour clock time; The units of time and conversion from one unit to another; Time duration and addition and subtraction of time.

What is a Profit and a Loss?

Grade 5
Profit & Loss   We often come across these newspaper headlines-   Company X shut down because of a heavy loss   Film XYZ released last week made a huge profit on the first day of its release.   What do they signify? What is meant by profit and loss? Profit is a monetary gain earned from […]

5th Grade, Module 8: What are Averages?

Grade 5
AVERAGE   We often use the term ‘average’ in places like ‘the average height of the students in my class is 132cm’, ‘In the last exam, my average marks were 92’, ‘the average attendance of class in January was 52 students out of 60’ and so on. In this chapter, we will understand the meaning […]

5th Grade, Module 7: What are Percentages?

Grade 5
Percentages   We often hear “Flat 40% off”, “Loan at 10% interest rate”, “Secured 90% in exams” and so on. But what does “%” mean?   In this chapter we will understand percentages and learn how calculating percentages can help us in daily life.  After this chapter we will be able to : express fractions as percentages and vice versa; express one […]

What is a Bill?

Grade 5
BILL of Purchase a.k.a “BILL”:   Sometimes we go to the market to buy various items like potatoes, fruits, vegetables, clothes etc.  in different quantity. The shopkeeper gives us articles and we make the payment to him of the total cost of these articles. The shopkeeper keeps a record of the articles we purchase.     Whenever […]

What are Roman Numerals?

Grade 5
Roman Numerals Roman Numerals & How They Began   Historians believe Roman Numerals began as a tally system. Shepherds on the hills and in the fields around Rome would cut marks into sticks to keep track of how many sheep or goats were in their care.   Each animal was counted then recorded on a […]

5th Grade, Module 12: What is a Bill in Math?

Grade 5
BILL of Purchase a.k.a BILL By reading the chapter’s name the very first thing comes to our mind is the money we pay. When we go to restaurants, purchase grocery for home or buy stationary for school, we pay the bill at the end. Bills are an important element in our life. In this chapter we will […]

5th Grade, Module 11: What is the Unitary Method?

Grade 5
UNITARY METHOD   Unitary method is the most basic application used in our everyday life. This is because its application is based on variations. It does not have any formula. It is about the concept and the proper use of addition and multiplication. There are two types of variations: Direct variations and indirect variations. In […]

How Do You Round Off Numbers?

Grade 5
Rounding off Numbers   Rounding off a number to nearest tens When we round off the units place it is called estimating a number to nearest tens.  If the number at units place is below 5, it is rounded off to 0 i.e. the lower tens. If the number at units place is greater than or […]

5th Grade, Module 10: What is Simple Interest?

Grade 5
SIMPLE INTEREST   When we see “4% interest on car loans”, “3% EMI rate”, etc. on banners or in advertisements, that 4% and 3% is called the interest. There are two branches of calculating interest: Simple Interest and Compound Interest. In this chapter, we will study only simple interest.  Simple interest is as important chapter […]

5th Grade, Module 6: More on Number Systems and Rounding?

Grade 5
More about Numbers   There exist other number systems as well, apart from Hindu-Arabic (the one we use in general). One such commonly used number system is the Roman numeral system. In this chapter, we will learn to read, write and convert numbers from Hindu-Arabic to Roman numerals and vice-versa. show how the Roman numeration system is […]

How do you Divide Large Numbers?

Grade 5
Division of Large Numbers    Division of two numbers can be treated as repeated subtraction. It is subtracting the smaller number from the greater number repeatedly till you reach zero or get a remainder.   Examples-   (a)        20 ÷ 4 = 5 20 – 4 – 4 – 4 – 4 – 4 = 0 i.e. by 5 times subtracting 4 from 20.   […]

How do you Add or Subtract Decimals?

Grade 5
Addition and Subtraction of Decimals   Addition  Adding decimals is a simple and same method of adding any other number. To add decimals, we follow these steps: Convert the given decimals to like decimals Write the decimals in column in alignment with their place value such that decimal points are below each other and also […]

How do you Group and Order Like and Unlike Decimals?

Grade 5
Grouping and Ordering of Decimals Like and Unlike Decimals   Decimals places: The number of digits in the fractional/ decimal part of a decimal number gives the number of decimal places. Examples:  (i) 5.76 has two decimal places (ii) 23.458 has three decimal places (iii)0.95 has two decimal places.   Like Decimals: Like decimals refers […]

5th Grade, Module 5: What Are Decimals?

Grade 5
Decimals   Introduction Students will understand the role of the decimal point and the relationship between tenths, hundredths, and thousandths at the conclusion of this lesson.   Objective In this chapter students will Understand the concept of the parts of one whole by representing a unit by a block and further dividing it into parts. […]