Curriculum
- 4 Sections
- 132 Lessons
- 365 Days
- 1. Numbers32
- 1.11.1.1 Types of numbers
- 1.21.1.3 Mathematical Operations
- 1.31.1.4 Number Operations
- 1.41.1.5 Prime Factor Decomposition
- 1.51.2.1 Set Notation
- 1.61.2.2 Venn Diagrams
- 1.71.3.1 Powers/Indices and roots
- 1.81.3.2 Standard Form
- 1.91.3.3 Working with standard form
- 1.101.4.1 Fractions
- 1.111.4.2 Working with Fractions
- 1.121.4.3 Decimals
- 1.131.5.1 Percentage
- 1.141.5.2 Working with Percentage
- 1.151.6.1 Conversions
- 1.161.6.2 Ordering
- 1.171.7.1 Ratios
- 1.181.7.2 Working with Ratios
- 1.191.8.1 Proportion
- 1.201.9.1 Rounding
- 1.211.9.2 Estimation
- 1.221.9.3 Bounds
- 1.231.10.1 Using a Calculator
- 1.241.11.1 Time
- 1.251.11.2 Currency
- 1.261.11.3 Currency Conversion
- 1.271.12.1 Simple Interest
- 1.281.12.2 Compound interest
- 1.291.12.3 Depreciation
- 1.301.13.1 Exponential growth
- 1.311.13.2 Exponential decay
- 1.321.14.1 Compound measures
- 2. Algebra and Graphs39
- 2.12.1.1 Algebra Notation
- 2.22.1.2. Algebra Vocabulary
- 2.32.1.3. Algebra Basic
- 2.42.2.1 Algebraic roots & Indices
- 2.52.3.1 Expanding brackets
- 2.62.3.2 Factorisation
- 2.72.3.3 Quadratic expressions
- 2.82.3.4 Difference of two squares
- 2.92.4.1 Linear Equations
- 2.102.4.2 Linear Inequalities
- 2.112.5.1 Quadratic Equations
- 2.122.6.1 Rearranging formula
- 2.132.7.1 System of Linear Simultaneous Equations
- 2.142.7.2 System of quadratic simultaneous equations
- 2.152.8.1 Algebraic fractions
- 2.162.8.2 Working with algebraic fractions
- 2.172.8.3 Solving algebraic fractions
- 2.182.9.1 Forming equations
- 2.192.9.2 Equations & Problem solving
- 2.202.10.1 Introduction to functions
- 2.212.10.2 Composite & Inverse functions
- 2.222.11.1 Sequences
- 2.232.11.2 nth term
- 2.242.12.1 Midpoint of a line
- 2.252.12.2 Gradient of a line
- 2.262.12.3 Length of a line
- 2.272.13.1 Linear Graph
- 2.282.13.2 Quadratic Graphs
- 2.292.14.1 Types of Graphs
- 2.302.14.2 Drawing a graph without using a calculator
- 2.312.14.3 Drawing a graph with a calculator
- 2.322.14.4 Using a graph
- 2.332.14.5 Tangents
- 2.352.15.1 Drawing a Graph
- 2.362.15.2 Interpreting graphical inequalities
- 2.372.16.1 Distance-Time Graph
- 2.382.16.2 Speed-Time Graph
- 2.392.17.1 Differentiation
- 2.402.17.2 Applications
- 3. Geometry36
- 3.03.1.1 Symmetry
- 3.13.1.2 2D Shapes
- 3.23.1.3 3D shapes
- 3.33.1.4 Unit conversions
- 3.43.2.1 Basic angle Properties
- 3.53.2.2 Angle properties with triangle
- 3.63.2.3 Angle properties with quadrilateral
- 3.73.2.4 Angles in polygon
- 3.83.3.1 Bearings
- 3.93.3.2 Scale
- 3.103.3.3 Constructing SSS triangle
- 3.113.4.1 Angles at center & Semicircles
- 3.123.5.1 Perimeter
- 3.133.5.2 Area
- 3.143.5.3 Problems Solving with Areas
- 3.153.6.1 Arc
- 3.163.6.2 Sector
- 3.173.7.1 Volume
- 3.183.7.2 Surface area
- 3.193.8.1 Congruence
- 3.203.8.2 Similarity
- 3.213.9.1 Pythagoras Theorem
- 3.223.9.2 Right-angled Trigonometry
- 3.233.10.1 Sine Rule
- 3.243.10.2 Cosine Rule
- 3.253.10.3 Area of Triangle
- 3.263.10.4 Applications of Trigonometry
- 3.273.11.1 Pythagoras in 3D
- 3.283.12.1 Drawing trigonometric graph
- 3.293.12.2 Solving trigonometric equations
- 3.303.13.1 Basic Vectors
- 3.313.13.2 Vector problem solving
- 3.323.14.1 Translation
- 3.333.14.2 Rotation
- 3.343.14.3 Reflection
- 3.353.14.4 Scaling
- 4. Probability and Statistics25
- 4.04.1.1 Basic probability
- 4.14.1.2 Relative Frequency
- 4.24.1.3 Expected Frequency
- 4.34.2.1 Two way Tables
- 4.44.2.2 Probability & Venn Diagram
- 4.54.2.3 Tree Diagram
- 4.64.3.1 Conditional probability
- 4.74.3.2 Combined conditional probabilities
- 4.84.4.1 Mean, median & mode
- 4.94.4.2 Averages from Tables and Charts
- 4.104.4.3 Averages from Grouped Data
- 4.114.4.4 Comparing Distributions
- 4.124.5.1 Stem & Leaf diagrams
- 4.134.5.2 Bar chart
- 4.144.5.3 Pictogram
- 4.154.5.4 Pie chart
- 4.164.5.5 Frequency polygon
- 4.174.5.6 Working with Statistical Diagram
- 4.184.6.1 Frequency Density
- 4.194.6.2 Histograms
- 4.204.7.1 Cumulative frequency
- 4.214.7.2 Box-and-whisker Plots
- 4.224.8.1 Correlation
- 4.234.8.2 Scatter Graph
- 4.244.8.3 Line of best Fit
4.5.2 Bar chart
A bar chart, also known as a bar graph, is a graphical representation of data in which rectangular bars of equal width are used to represent different categories or values.
In a bar chart, the length or height of each bar represents the quantity, frequency, or percentage of data in each category.
The bars can be arranged vertically or horizontally, and the categories are usually shown on the \( x \)-axis (horizontal axis), while the values or frequencies are shown on the \( y \)-axis (vertical axis).
Bar charts are often used to compare the relative sizes or frequencies of different categories or values.
They are particularly useful for showing categorical data, such as the number of students in different grade levels or the frequency of different types of fruits in a grocery store.
Worked example:
Suppose a survey was conducted to determine people’s favorite colors,and the results were as follows:
Red: \( 35 \)%
Blue: \( 25 \)%
Green: \( 20 \)%
Yellow: \( 10 \)%
Other: \( 10 \)%
To represent this data in a bar chart, we could create a Vertical bar chart as follows