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Linear Pairs of Angles
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IanB:

--- Quote from: janoc on April 01, 2020, 06:11:17 pm ---I am quite surprised that an 8 years old is being asked to solve what amounts to linear equations? Isn't that like second year?
At that level kids can usually barely read and write and are learning multiplication tables! Either Sagan is very smart and is doing some extra math or Australia has some rather interesting math curriculum, because these things are usually taught from 5-6th grade up ...

--- End quote ---

There is a distribution of ability in any age group. Schools teach subjects by year group to fit the norm, but that always means some children will find the work too easy and others will find it too hard. Year groups in education are more about social cohesion than about ability--you don't typically want to have widely varying ages in a class.

To be clear, I rather doubt an 8 yo is being asked to do formal algebra. It is more a case of solving by experiment and intuition. They do what amounts to "algebra" in their head, and later on they will learn to formalize it.
IanB:

--- Quote from: NivagSwerdna on April 01, 2020, 04:12:23 pm ---What sort of language is "measure of angle"? used to be called angle in my day?

--- End quote ---

Some interesting reading:

https://www.amazon.com/Measurement-Paul-Lockhart/dp/0674284380
maginnovision:

--- Quote from: janoc on April 01, 2020, 06:11:17 pm ---I am quite surprised that an 8 years old is being asked to solve what amounts to linear equations? Isn't that like second year?
At that level kids can usually barely read and write and are learning multiplication tables! Either Sagan is very smart and is doing some extra math or Australia has some rather interesting math curriculum, because these things are usually taught from 5-6th grade up ...

--- End quote ---

Dave does say it's an extension math class. When I was in grade school(1st - 6th) I was also in an after school program called GATE. When I first started I was 6 and in a group of 4th and fifth graders. It may be a similar situation with it being more and advanced compared to the standard curriculum.
SiliconWizard:
https://en.wikipedia.org/wiki/Angle


--- Quote ---Angle is also used to designate the measure of an angle or of a rotation
--- End quote ---

So whereas the correct pedantic term would be "measure of angle", "angle" alone is also correct. Not that this matters here, the teacher can use either, and explicitely talking about the measure allows not to understand "angle" as merely the geometric figure.
SiliconWizard:
Anyway, also surprised this would be for 8yo kids - I would probably see this more for 10yo level or something, but OTOH, I'm happily surprised. Especially after seeing this: https://www.abc.net.au/news/2019-12-03/australia-education-results-maths-reading-science-getting-worse/11760880
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