Now back to the half-timber. Thanks to you Max and Sarah got an idea, on how to build the roof. But how many beams are needed? [br][br]
Get back to the matches and your half-timber model. Expand the model to three storeys.[br][br]Write down here how many beams are needed for a 1-storey model, a 2-storey model and a 3-storey model and have a close look at the numbers. [br]Write down what you regularities you discover.
Now complete the following sentences:
To expand a half-timber model from 2 to 3 storeys, ______ additional beams are needed.
To expand a half-timber model from 3 to 4 storeys, ______ additional beams are needed.
With 55 storeys one can build a half-timber model with ______ storeys.
Now fill in the table with the number of beams needed in the [b]simulation Half-Timber[/b] below by substituting the respective [color=#0000ff]blue[/color] [color=#0000ff]zero[/color] next to the number of storeys (1, 2, 3).
Tick the box "Animation" in the [b]simulation Half-Timber[/b] and determine the beams needed for a 4 and 5 storey model. [br]Create the trend line and check with it your estimation from task no. 56 [br][i][size=85](the model in task no. 56 had 7 storeys).[/size][/i][br]Describe your approach.
Now vary the number of storeys in the animation of [b]simulation Half-Timber[/b] and observe the number of beams that have to be added for each additional storey. [br]Develop a more general rule for this and start of with a general calculation for the number of beams.
Now check your pairing with the beams from task no. 59. [br]Was your partner for the nails correlation correct?[br]In case you did not chose the pair cubes/beams write down a revision.
Oh dear - so many beams even for only 3 storeys! That's two much for Max and Sarah - try to get along with 2 stoerys.[br]Thanks for giving them a reality check![br][br]Well, that's it. They are all set to start of with building the house - Thanks a lot![br][br]Please put all the material back for them into the box!