Estimating Wheat Yield

15 10 2017

I recently looked at the growing wheat, in a variety of paddocks, with my brother.

Notice how the tip of the head on the left, has been hit by a severe frost and will only have grain in the lower part of the head, if there’s enough moisture to allow the grain to fill. The middle head is from a different variety, which has a shorter growing time and so the impact of the frost is not as noticeable. The head on the right is a third variety developed for dry conditions. Notice how the lower part of the head is filling wider than the other two.

I then asked how he estimated yield before harvesting.

Being old school he has some quick estimations. Take an average square foot (30cm by 30cm). Count the number of grains. Every 26 grains is 1 bushel. 3 bushels equates to 1 bag. 12 bags equates to 1 ton. The difference between a ton (1016 kg) and the current tonne (1000 kg) is 16 kilograms. This is insignificant in that the whole process is only an estimate anyhow, and yield varies across the paddock. The only precise measurement is what was harvested. This yield is per acre and there are 2.5 acres per hectare. Wow. What a calculation!

There are other methods here but they use a square metre which is more counting than a square foot. 


The 400-year-old Kepler Conjecture that your local greengrocer knows how to solve

22 06 2017

This afternoon the second meeting of the “Mathematics Matters @ UTS” Club will occur. 

I intend to share this article with those attending, as I endeavour to foster the enthusiasm I hold for many things mathematical.

Imaginary Oil Spill Mathematics Lesson by Nanci Hutson

3 02 2017

Here’s an idea connecting Measurement to its applications in the adult world. 

Award-winning Hickman teacher tries to take the fear out of mathematics by Micki Wagner

29 09 2016

Here are some ideas for making Mathematics more relevant.

Local students get taste for real world by Kylie Thomas

23 09 2016

I like this idea. Enjoy.

A new dimension to Thales Theorem thanks to Dan Meyer

6 06 2016

Thank you Dan for this approach.

Creative Measurement

28 12 2015

Prior to Christmas I make chocolate houses as gifts. They contain 1kg of chocolate and are more difficult to make in times of high humidity. 

This year the boards I used were slightly smaller than in previous years and trickier to ensure all the pieces fitted without going over the edge. I tore pieces of tissue the lengths of the sides and front/back and placed them strategically to ensure suitable placement. They were great guides for placing the pieces. However, this method does not ensure the adjoining sides are perpendicular. 

It turned out that there was little or no difference in having the sides outside or inside the front/back. The dimensions were similar either way.