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
3.3.1 Bearings
A bearing is usually expressed as an angle in degrees, measured clockwise from North.
For example, if you are standing at point \( A \) and want to describe the direction to point \( B \), you might say
“the bearing of point \( A \) from point \( B \) is \( 45° \).”
Bearings are often used in combination with distances to describe the location of a point relative to another point.
For example, you might say
“point \( B \) is located \( 500 m \) from point \( A \) on a bearing of \( 45° \).”
Bearings are also used in compass navigation, where a compass is used to determine the direction of the North. In this case, a bearing is measured relative to magnetic North, which may differ slightly from true North depending on your location and the declination angle.
Uses of bearings:
Bearings can be used on maps to indicate the direction of a line or the angle between two lines. Bearings are typically given in degrees or mils (a unit of angle measurement used by the military).
Compass directions are often used to describe the orientation or direction of an object or location.
Here are some common compass directions and their corresponding bearings:
North: \( 0 \) degrees or \( 360 \) degrees
East: \( 90 \) degrees
South: \( 180 \) degrees
West: \( 270 \) degrees
Northeast: \( 45 \) degrees
Southeast: \( 135 \) degrees
Southwest: \( 225 \) degrees
Northwest: \( 315 \) degrees
One common use of bearings on maps is to indicate the direction of a line, such as a road, trail, or river. The bearing is measured from true north (or magnetic north, depending on the map’s orientation) and indicates the angle between the line and north.
Bearings can also be used to describe the angle between two lines, such as the angle between two roads or the direction of a flight path.