Nail it down - Team A

Hey! Now we have more of a system of correlations. We can proceed to the final chapter...[br][br]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![br][br]So, let's grab the material and measure... [br][br]You need all the nail packages (10, 20, 30, 40, 50 and unknown) and the scale.
MATERIAL: Scale and 6 nail packages
Take each nail package one by one and weigh it on the scale.[br]CAREFULL: Each time before you put a package on the scale, the display has to show 0g! -> Press TARA. [br][br]Fill in the table in [b]simulation Nails [/b]by replacing the zeros next to the respective number of nails.
Nails
Now estimate with the aid of your measurements:[br][br]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.[br]Tick the box "Messpunkte" in the [b]simulation Nails[/b]. [br][br]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?[br]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?
[br]To which statement do you agree? Choose one and give reasons for your choice.
Give reasons for your choice.
Now check your pairing with the nails from task no. 59. [br]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.[br][br]Afterwards check your estimation from task no. 53.
Max and Sarah discover an old package of the same nails in the shed. [br]On the package it says "weight: 340 g". [br]How many nails are in the box? Explain how you calculated the number.
That settles the issue with nail packages.[br][br]Put all the packages and the scale back into the box... [br][br]The half-timber is waiting to be finalised![br]
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