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
4.5.4 Pie chart
A pie chart is a circular graph that is divided into slices to represent numerical proportions or percentages.
Each slice in a pie chart represents a portion of the whole, and the size of the slice is proportional to the quantity or percentage of the data it represents.
Pie charts are often used to show the relative sizes or proportions of different categories within a dataset.
They are particularly useful for displaying data in which each category represents a part of a whole, such as a company’s revenue broken down by product line, or the percentage of time spent on different activities throughout the day.
Worked example:
\( 120 \) students choose what they want to do when they leave school.
Their choices are shown in the table.
Complete the pie chart to show this information.
Label each sector clearly.
Calculate the angles at center of the pie chart by dividing the number of students in each choice by the total number of students then multiplying by \( 360° \).
Use a protractor and ruler to construct the pie chart