*Two numbers cubed add up to four,*

*Both real gold as you’ll see.*

*Their reciprocals sum to minus one,*

*What could those numbers be?*

Topics: Starter

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.

Click here to enter your comments.

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.

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 2.0 out of 5 based on 1 votes.

Previous Day | This starter is for | Next Day

x = (1 ± √5)/2, y = (1 ± √5)/2.

x = -0.618, y = 1.62 or x = 1.62, y = -0.618 (correct to three significant figures)

The golden ratio!

More Mathematics Lesson Starters

Clive, Bangkok

Saturday, March 7, 2015

"What a great starter puzzle this is. It revises so many concepts for IB students (Standard and Studies). This is how it went in my class today: The mission is to find the gold, it is in the labyrinth (of your mind!). The first obstacle is to know what kind of Maths topic this is: algebra? OK what kind of algebra is it? Simultaneous equations? Very good, can you write down those simultaneous equations? Can you solve those simultaneous equations? The simultaneous equation solver on the calculator is no good as it only solves for linear equations. How about drawing graphs and seeing where the graphs intersect? You will need to know how to rearrange the equations to make y the subject. Wow, what a surprising answer!"

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. Click here to enter your comments.

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.

## Numbers and the Making of UsI initially heard this book described on the Grammar Girl podcast and immediately went to find out more about it. I now have it on my Christmas present wish list and am looking forward to receiving a copy (hint!). "Caleb Everett provides a fascinating account of the development of human numeracy, from innate abilities to the complexities of agricultural and trading societies, all viewed against the general background of human cultural evolution. He successfully draws together insights from linguistics, cognitive psychology, anthropology, and archaeology in a way that is accessible to the general reader as well as to specialists." more... |