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Cake day: November 25th, 2023

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  • Here is a distributive law lesson for grade 4

    That’s the Distributive Property actually. The dead giveaway is the multiply sign, as in β€œThe Distributive Property of Multiplication over Addition”. There’s no Multiply sign in The Distributive Law, a(b+c)=(ab+ac)

    Here’s another, and another.

    Also The Distributive Property. β€œThe distributive law says that multiplying a number by a group of numbers added together is the same as doing each multiplication separately” - no, the Distributive Property says that.

    These were the first results

    Welcome to the problem with using the internet and not looking at Maths textbooks

    It being used in an algebra course doesn’t mean it’s in the domain of algebra

    It being taught in Algebra most certainly does mean it’s in the domain of Algebra

    Algebra is also used in calculus, but algebra isn’t the domain of calculus, correct?

    It’s all Algebra. You can’t do Calculus if you haven’t learnt Algebra yet, just like you can’ do a(b+c) if you haven’t learnt Algebra yet.

    It’s algebra when it’s using variables

    and the rules of Algebra, like a(b+c)=(ab+ac). Arithmetic doesn’t have any rules that aren’t in Algebra, but Algebra does have rules which aren’t in Arithmetic.

    and you’re solving for an equation

    I can solve 1+1= without using Algebra

    2(3+4) is arithmetic

    Nope, it’s Algebra

    2(x+4)=0 is algebra

    Yep, now substitute x=3 in 2(x+4) and tell me what you get πŸ˜‚

    the application of the operations of addition, subtraction, multiplication, and division to them

    Yep. Notice how Distribution was not mentioned?? πŸ˜‚

    and formal manipulations

    Yep, such as a(b+c)=(ab+ac)

    rather than specific numbers

    Soooo, a+b is Algebra, but 2a+3b+4 isn’t Algebra, because it has specific numbers in it?? πŸ˜‚

    Note: Algebra includes the use of arithmetic

    Yep, it sure does.

    t being used in algebra does not mean it is part of algebra

    NOT being used in Arithmetic means it’s not part of Arithmetic. πŸ™„ You know we’ve only had Brackets in Maths for 300 years, and that Arithmetic is much older than that, right?



  • Sorry, your realm does not extend into English

    Sorry, it most definitely does when it comes to how English is used in Maths

    It’s tangential to mathematics, but it isn’t mathematics

    The way we say Mathematical things is 100% Maths

    There’s absolutely nothing you can improve on?

    I can improve some badly written textbooks. Probably every Maths teacher can.

    Has a teacher ever been wrong (or just uninformed) about a topic in a subject they teach?

    Yes, ones who haven’t looked in the textbook which seems to be the case with a lot of unqualified U.S. Maths teachers

    Does every English teacher know the content of every book?

    Probably the content of every book they teach πŸ™„

    No one knows everything about a subject

    Teachers do. It comes from teaching the same thing year after year after year

    Anyway, this isn’t your subject!

    Yes it is! πŸ˜‚

    This is English, not math

    It’s Mathematical English

    Do you see any formulas, proofs, or equations in these comments?

    Do you see words in Maths textbooks? And the definitions of them? πŸ™„

    What don’t you get?

    Why you keep insisting that Maths textbooks are wrong

    It being in an algebra textbook does not limit it to the realm of algebra

    And NOT being in any arithmetic book means it’s not part of Arithmetic πŸ™„

    Numbers are in that textbook too

    Yep, both Arithmetic and Algebra, as opposed to a(b+c) which is only in Algebra books.

    If I’m wrong, I’d love to see the citation

    Says person who can’t cite any Arithmetic books it’s in πŸ™„

    Anyway, unless you provide that proof at the end there

    Already gave it in the previous post… which you didn’t look at πŸ™„







  • Do you think you’re above them?

    You know we’re talking about Year 7 Maths, right? πŸ˜‚

    Elementary school teaches you the fundamentals to your future education

    but NOT The Distributive Law, which is taught in high school, in Algebra

    I didn’t say you were wrong about math

    You said β€œI don’t think you’re right”, and followed it up with β€œIll informed”, to a Maths teacher.

    I said you were wrong about English that is used in relation to math

    And you were wrong about that too

    Clearly this isn’t a strong suit of yours

    What you mean is you clearly can’t rebut any of it

    However, stop acting like you know everything

    I know everything about high school Maths - I teach it

    you clearly don’t

    There you go again calling a Maths teacher wrong about Maths πŸ˜‚

    You’re using some very strange logic to argue you’re right

    You think Maths textbooks use very strange logic??

    it doesn’t make any sense

    read this then. Contains Maths textbooks




  • I don’t think you’re right

    You don’t think Maths textbooks are right??

    The wiki page

    is full of disinformation. Note that they literally never cite any Maths textbooks

    as an example of β€œelementary arithmetic.”

    And whichever Joe Blow My Next Door Neighbour wrote that is wrong

    as an example in β€œelementary algebra.”

    Algebra isn’t taught until high school

    That implies that yes, this is arithmetic,

    No, anything with a(b+c) is Algebra, taught in Year 7

    the introduction of variables is what makes it algebra

    and the rules of Algebra, which includes a(b+c)=(ab+ac). There is no such rule in Arithmetic.

    It doesn’t matter what course finally teaches it to you

    It does if you’re going to argue over whether it’s Arithmetic or Algebra.

    not by definition part of that domain

    The Distributive Law is 100% part of Algebra. It’s one of the very first things taught (right after pronumerals and substitution).

    It’s been ages since I took it

    I teach it. We teach it to Year 7, at the start of Algebra