Today's topic that we are focusing on is Bearings. Bearings are used in navigation to identify (as a measure of turn) where the direction of one object is in relation to another. You need to remember that bearings are calculated from North, in a clockwise direction and given as a three digit value. Be careful with sentence structure as bearings are measured FROM the object (normally the second point in the question). When calculating more complex bearings knowledge of angles in parallel lines is useful (particularly co-interior angles). The harder questions will involve speed, time, perpendicular lines and maybe the use of Pythagoras' theorem and trigonometry.

In today's blog, we take a look at Midpoints, Parallel lines and Perpendicular lines. We take a look at finding the midpoint between two coordinate points by taking the average of the x values and an average of the y values. We then take a look at parallel lines (two or more lines that always remain the same distance apart) and establish that parallel lines share the same gradient but will have a different y-intercept.

Finally, we finish off with perpendicular lines (two lines intersect to create a right angle) and establish that the gradients of perpendicular lines are negative reciprocals of each other (their products = -1)

For day 42, we are focusing on angles in parallel lines. It is fairly straight forward to calculate the angles on a straight line as we can use the vertically opposite angles reasoning or angles in a straight line reasoning.

When you want to compare one angle on one parallel line to another angle on a different parallel line there are three types of angle reasoning you will need to state.                                     (Alternate, Corresponding, Co-Interior)