2D Position
Describing Movement
Directions and Distance
Moving on from Direction and Distance we explore coordinates in two dimensions.
There is a lot of knowledge required to explore this topic. Numbers is important because we use number to identify where we are in our cartesian coordinate system. It's all a bit abstract as well; although we could, we tend not to use units of measurement to say where we are - so we're discussing something that doesn't exist - isn't tangible.
We need to create a solid foundation in locating our X-axis and Y-axis positions in space. This may require a lot of practise for some.
The title I have used here is 'Where To Go', and with secondary school kids this is an important theme as they are being focused on what they will be doing with their lives. This can be used to good effect, not only regards position but incorporating other numeracy concepts - like planning the route, working out how long it will take, working out the cost, examining salaries and careers.
The focus needs to be on the origin and the two axes. Plenty of exercises with shapes and how they fit on to the grid. Use can still be made with squared paper. Also consider how area is part of this 2D space - using examples of why area is important - from cost of material to stacking and pattern.
As the topic increases in abstraction we can tie in algebraic equations with y in terms of x. We can also replace the x-axis with time, illustrating relationships between entities.
As we firm up our understanding and skill with two dimensions, we start to realise we can project into the future.