Nail it down - Team A

Autor:Susanne Digel

Hey! Now we have more of a system of correlations. We can proceed to the final chapter... You know Max and Sarah a little bit better by now - they do not only want to get an idea, they want to know! Real mathematicians! So, let's grab the material and measure... You need all the nail packages (10, 20, 30, 40, 50 and unknown) and the scale.

Take each nail package one by one and weigh it on the scale. CAREFULL: Each time before you put a package on the scale, the display has to show 0g! -> Press TARA. Fill in the table in simulation Nails by replacing the zeros next to the respective number of nails.

Nails

Now estimate with the aid of your measurements: How much does a package of 60 nails weigh?

Again you get a good picture of the correlation between number of nails and weight with the GRAPH. Tick the box "Messpunkte" in the simulation Nails. A trend line (tick the box "Trendlinie") will give the trend of your measurement points - but with every measurement you have measuring errors! - what could be a source for such an error here?

How many points would only be necessary to draw the trendline? How many measurements would hence be sufficient? - give reasons.

Why would the same amount of measurements not be sufficient to draw the fill graph of the vessel?

To which statement do you agree? Choose one and give reasons for your choice.

Wähle alle richtigen Antworten aus

A
The weight of the nails increases faster with increasing number.
B
The weight of the nails increases slower with increasing number.
C
The weight of the nails increases uniformly with increasing number.

Antwort überprüfen (3)

Give reasons for your choice.

Now check your pairing with the nails from task no. 59. Was your partner for the nails correlation correct?

In case you did not choose the pair discs/nails, write down a revision.

Back to Sarah and Max. Using the trend line you should be able to answer the question from the beginning: the number of nails in the uncounted package. Afterwards check your estimation from task no. 53.

Max and Sarah discover an old package of the same nails in the shed. On the package it says "weight: 340 g". How many nails are in the box? Explain how you calculated the number.

That settles the issue with nail packages. Put all the packages and the scale back into the box... The half-timber is waiting to be finalised!

Nail it down - Team A

Nails

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