000°

000°

000°

000°

000°

000°

000°

000°

000°

The aircraft shown are all flying at the same speed and height.

The directions they are flying are shown as three figure bearings.

Is the situation safe or are any aircraft likely to collide?

# Air Traffic Control

## A Mathematics Lesson Starter Of The Day

Share

Topics: Starter | Angles | Bearings | Estimating

• Transum,
•
• This is an exercise in estimation assuming that the pupils understand three figure bearings. They need to decide, given the direction of travel, whether any of the aircraft will collide or whether they will safely fly out of the airspace covered by this radar screen. You can see the answer by running the simulation which shows how the situation unfolds. As an alternative way of using this resource you could print out this page and ask the pupils to accurately draw on the flights paths using ruler and protractor. Each time you refresh the page you get a new situation so all of the pupils could be working on a different problem. Remember it is not enough to say two flight paths intersect, the planes need to be at the same place at the same time before a collision takes place. Also when two planes have collided a third plane is safe to enter that position as presumably the collided planes have fallen to the ground.
• Susan Cole, Cornwall
•
• I think this is great. I copied an image before the simulation and after. Students will draw in bearings on a paper based copy and see for themselves whether there is a crash or not.
• Mr H, Devon
•
• This is such a great starter, thank you! My only request would be to be able to have a few fixed versions, so not all randomly generated - I'd like to print it out and give copies to students, but I can't as they're random!

How did you use this starter? Can you suggest how teachers could present or develop this resource? Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for Maths teachers anywhere in the world.

If you don't have the time to provide feedback we'd really appreciate it if you could give this page a score! We are constantly improving and adding to these starters so it would be really helpful to know which ones are most useful. Simply click on a button below:

Excellent, I would like to see more like this
Good, achieved the results I required
Satisfactory
Didn't really capture the interest of the students
Not for me! I wouldn't use this type of activity.

This starter has scored a mean of 2.9 out of 5 based on 277 votes.

Previous Day | This starter is for 25 May | Next Day

Note to teacher: Doing this activity once with a class helps students develop strategies. It is only when they do this activity a second time that they will have the opportunity to practise those strategies. That is when the learning is consolidated. Click the button above to regenerate another version of this starter from random numbers.

 Teacher, do your students have access to computers?Do they have iPads or Laptops in Lessons? Whether your students each have a TabletPC, a Surface or a Mac, this activity lends itself to eLearning (Engaged Learning).

Here a concise URL for a version of this page without the comments.

Transum.org/go/?Start=May25

Here is the URL which will take them to an exercise involving bearings.

Transum.org/go/?to=bearings

Here is the URL which will take them to a game involving bearings.

Transum.org/go/?to=SnookerAngles

Your access to the majority of the Transum resources continues to be free but you can help support the continued growth of the website by doing your Amazon shopping using the links on this page. Below is an Amazon search box and some items chosen and recommended by Transum Mathematics to get you started.

## Have you read Craig's book yet?

Craig Barton must surely be the voice of Mathematics teachers in the UK. His wonderful podcasts interviewing the industry experts have culminated in this wonderful book. As Craig says: "I genuinely believe I have never taught mathematics better, and my students have never learned more. I just wish I had known all of this twelve years ago..." more...

"How I wish I'd taught Maths" is an extraordinary and important book. Part guide to research, part memoir, part survival handbook, it’s a wonderfully accessible guide to the latest research on teaching mathematics, presented in a disarmingly honest and readable way. I know of no other book that presents as much usable research evidence on the dos and don’ts of mathematics teaching in such a clear and practical way. No matter how long you have been doing it, if you teach mathematics—from primary school to university—this book is for you." Dylan Wiliam, Emeritus Professor of Educational Assessment, UCL.

## Casio Classwiz Calculator

There is currently a lot of talk about this new calculator being the best in its price range for use in the Maths classroom. The new ClassWiz features a high-resolution display making it easier to view numerical formulas and symbols but it isn't a graphical calculator as such (it has the capacity to draw graphs on your smart phone or tablet, via a scannable QR code and an app).

As well as basic spreadsheet mode and an equation solving feature you also get the ability to solve quadratic, cubic or quartic polynomial inequalities and the answer is given just as it should be written down, using the correct inequality symbols!

This calculator has a high-performance processor and twice the memory of previous models ensuring speedy operation and superior computational power.more...

## Hello World

You are buying a (driverless) car. One vehicle is programmed to save as many lives as possible in a collision. Another promises to prioritize the lives of its passengers. Which do you choose?

Welcome to the age of the algorithm, the story of a not-too-distant future where machines rule supreme, making important decisions – in healthcare, transport, finance, security, what we watch, where we go even who we send to prison. So how much should we rely on them? What kind of future do we want?

Hannah Fry takes us on a tour of the good, the bad and the downright ugly of the algorithms that surround us. In Hello World she lifts the lid on their inner workings, demonstrates their power, exposes their limitations, and examines whether they really are an improvement on the humans they are replacing.

This calculator has a high-performance processor and twice the memory of previous models ensuring speedy operation and superior computational power.more...

If your pupils' ability to estimate compass bearings is not good enough for this Starter you may want to instead begin with this. It's a whole class practice/learning activity that could be played as a game.

Plane Bearings

For Students:

For All: