Angles

• Understand that an angle is formed by two rays, often representing lines or directions that come together at a fixed point called the vertex.
• Be aware that the size of an angle is measured in degrees and is represented by the symbol °.
• Recognise the different types of angles: an acute angle is less than 90°, a right angle is exactly 90°, an obtuse angle is between 90° and 180°, and a straight angle is exactly 180°. A full rotation creates a complete or full angle of 360°.
• Familiarise yourself with vertical angles, which are a pair of opposite angles formed when two lines intersect. Vertical angles are always equal.
• Understand how to find unknown angles by creating equations related to the properties of these angles. For example, if you are given an obtuse angle of 110° and asked to find its supplement (an angle that when added with the obtuse angle equals 180°), you would create and solve the equation 180° - 110° = ? to find the supplement angle as 70°.

Bearings

• Get to know that bearings are directions or angles, measured clockwise from the north line. They are typically used in maps or navigational charts.
• Remember bearings are always measured in three-figure degrees. For instance, the bearing '045°' represents an angle of 45° east of north.
• Know that degrees in bearing measurements range from 0° to 360°. If the bearing is less than 100°, zeros are added in front to make it a three-figure bearing.
• Practise the scenario of given an original bearing and asked to find the return or back bearing. Note that the back bearing could be found by adding or subtracting 180° from the original bearing, depending on whether the original is less or more than 180°.
• Apply this knowledge to solve tasks in map reading, navigation, and geometry involving directions and angles.

Working with Angles and Bearings

• Understand and practise how to use a protractor to measure angles in degrees, which is essential in both geometrical exercises and practical scenarios involving bearings.
• Be able to interpret and draw diagrams representing angles and bearings, particularly for questions involving real-world navigation problems.
• Keep in mind that angles and bearings are often combined with other mathematical concepts in problem-solving scenarios, such as trigonometry or algebra. A solid foundation in angles and bearings can support success in these more complex tasks.
• Always check your work for accuracy, particularly when measuring angles or calculating bearings, as a small error can significantly affect your results.