Course Content
Chapter 01 – Sets
A set is a group of elements in brackets that are related to one another. In this chapter, you will learn about the differences and similarities between an equal set and an equivalent set, and describe the notion and types of sets.
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Chapter 02 – Whole Numbers
Numbers are everywhere in our world. In this chapter, we'll learn about whole numbers, and will explore what a whole number is and how we use these types of numbers in our everyday lives.
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Chapter 03 – Factors and Multiples
Multiples and factors are basic mathematical concepts. Review these terms and how they are applied to real-world scenarios, and practice applying them to solve sample word problems. Learning how to divide can be a little challenging, but knowing some basic rules about dividing can help. In this chapter, you'll learn about the divisibility rules that apply to numbers.
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Chapter 04 – Integers
An integer is a whole number (not a fractional number) that can be positive, negative, or zero. In this chapter, we'll learn about mathematical operations with integers using the operations of addition, subtraction, multiplication, and division. Discover the properties of integers and how those properties affect the solution to different types of math problems.
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Chapter 05 – Simplification
Simplifying math expression is an important part of helping students learn how to work and think algebraically. The order of operations in mathematics is the sequence in which a problem is solved. In this chapter, we'll explore the definition and examples of the order of operations in math, discover the steps involved, and learn the shortcut for remembering the steps defined by the acronym BODMAS and PEMDAS.
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Chapter 06 – Ratio and Proportions
Ratios allow us a way to mathematically compare two or more items, and proportions can help us find out even more information. In this chapter, we'll learn the definition of ratios and proportions, and understand how to calculate the ratio and proportion problems.
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Chapter 07 – Financial Arithmetic
Many values we come across regularly change frequently. In this chapter, we will look at examples when a quantity decreases in value, and how such decreases can be represented using percentages. A company may have a great product but if they are losing money, it will eventually go out of business. We will explore profit and loss from an economic perspective.
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Chapter 08 – Introduction to Algebra
To evaluate simple algebraic expressions, substitute a number for each variable and solve. In this chapter, we'll learn the steps for evaluating simple algebraic expressions, including rules for order of operations and parentheses, and tackle the practice problems.
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Chapter 09 – Linear Equations
A system of linear equations refers to a set of linear equations that have similar variables. In this chapter, we'll explore the definition and examples of a system of linear equations, and learn how to find the solution to a system of linear equations.
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Chapter 10 – Geometry
Geometry is a sector of mathematics that analyzes shapes, lines, and surfaces. It is possible to construct different geometric shapes and patterns using lines and angles. In this chapter, we'll explore the definition of the basics of geometry: points, lines, and angles, geometric construction, the tools required for the job, and how to copy angles and line segments.
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Chapter 11 – Perimeter and Area
A perimeter is a measurement used to determine the distance of a path around the outer edge of a two-dimensional object. In this chapter, we'll discover the formula to calculate perimeter for various shapes and consider the usefulness of these equations through examples. Discover how to find the area of an irregular polygon. Explore formulas for the area of regular polygons, learn how to divide an irregular polygon into a series of regular polygons, and see how to find the area using those pieces.
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Chapter 12 – Three Dimensional Shapes
Geometric measurements can be taken for one-, two-, and three-dimensional shapes. In this chapter, we'll explore the most common formulas one would use to find the perimeter, area, surface area, and volume of three-dimensional figures.
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Chapter 13 – Information Handling
Data handling refers to the process of gathering, recording, and presenting information in a way that is helpful to others - for instance, in graphs or charts.
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Grade 6 – Mathematics
About Lesson

Objective:

To enable students to read, interpret and construct bar graphs.

What is Bar Graph?

The pictorial representation of grouped data, in the form of vertical or horizontal rectangular bars, where the lengths of the bars are equivalent to the measure of data, are known as bar graphs or bar charts.

The bars drawn are of uniform width, and the variable quantity is represented on one of the axes. Also, the measure of the variable is depicted on the other axes. The heights or the lengths of the bars denote the value of the variable, and these graphs are also used to compare certain quantities. The frequency distribution tables can be easily represented using bar charts which simplify the calculations and understanding of data.

The three major attributes of bar graphs are:

  • The bar graph helps to compare the different sets of data among different groups easily.
  • It shows the relationship using two axes, in which the categories are on one axis and the discrete values are on the other axis.
  • The graph shows the major changes in data over time.

What Constitutes a Bar Graph?

Following are the many parts of a bar graph:

  • Vertical axis
  • Horizontal axis
  • The bar graph’s title informs the reader of its purpose.
  • The title of the horizontal axis indicates the information that is shown there.
  • The title of the vertical axis indicates the data it is used to display.
  • The categories on the particular axis indicate what each bar represents.
  • The bar graph’s scale demonstrates how numbers are used in the data. It is a system of markings spaced at specific intervals that aid in object measurement. For instance, the scale of a graph may be stated as 1 unit = 10 fruits

Types of Bar Graphs

The bar graphs can be vertical or horizontal. The primary feature of any bar graph is its length or height. If the length of the bar graph is more, then the values are greater than any given data.

The types of bar charts are as follows:

Vertical Bar Graphs

When the grouped data are represented vertically in a graph or chart with the help of bars, where the bars denote the measure of data, such graphs are called vertical bar graphs. The data is represented along the y-axis of the graph, and the height of the bars shows the values.

Horizontal Bar Graphs

When the grouped data are represented horizontally in a chart with the help of bars, then such graphs are called horizontal bar graphs, where the bars show the measure of data. The data is depicted here along the x-axis of the graph, and the length of the bars denotes the values.

FIGURE 12.9 Structures of Horizontal and Vertical Bar Graphs

Bar Graph Maker: 

Use this link to generate Bar Graph Online – Bar Graph Maker

Practice Questions

1. The number of bed sheets manufactured by a factory during five consecutive weeks is given below.

Week First Second Third Fourth Fifth
Number of Bed-sheets 600 850 700 300 900

Draw the bar graph representing the above data.

2. The number of students in 7 different classes is given below. Represent this data on the bar graph.

Class 6th 7th 8th 9th 10th 11th 12th
Number of Students 130 120 135 130 150 80 75

3. The following table shows the favorite sports of 300 students of a school.

Sports Cricket Football Hockey Badminton Swimming Tennis
No. of Students 80 40 20 30 45 75

Represent the above data using a column graph.

4. The following data represents the sale of refrigerator sets in a showroom in the first 6 months of the year.

Months Jan Feb March April May June
No. of Refrigerators Sold 20 25 15 40 35 30

Draw the bar graph for the data given and find out the months in which the sale was minimum and maximum.

5. The number of absentees in class VI was recorded in a particular week. Represent this data on the bar graph.

Days Mon. Tues. Wed. Thurs. Fri. Sat.
Number of Absentees 130 120 135 130 150 80

(a) On which day the maximum and minimum students were absent?

(b) How many students were absent on Wednesday and Friday?

(c) On which days the same number of students were absent?

Exercise Files
Bar Graphs.pdf
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Bar Graph.pdf
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