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Math Help - how to teach factorization?

  1. #1
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    how to teach factorization?

    actually i am a teacher of junior maths, my students are mainly 13-14 years old

    i need to teach a topic on factorization

    but my students really can't master well with it.

    I don't even think I explain to them very clearly, so I understand I have a problem, as a teacher

    I can only push them to do more exercise and practice

    but I really can't think of any skills or quick tips for them

    can any one suggest how to teach factorization??
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  2. #2
    A riddle wrapped in an enigma
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    Quote Originally Posted by kenny1999 View Post
    actually i am a teacher of junior maths, my students are mainly 13-14 years old

    i need to teach a topic on factorization

    but my students really can't master well with it.

    I don't even think I explain to them very clearly, so I understand I have a problem, as a teacher

    I can only push them to do more exercise and practice

    but I really can't think of any skills or quick tips for them

    can any one suggest how to teach factorization??
    Hi kenny1999,

    I will assume that you are talking about factoring quadratics, am I right?

    A lot of teachers use the 'guess and check' method especially when the leading coefficient is 1. This takes a little more time when that coefficient is something other than 1.

    Here's how I approach those. You might find it useful.

    First a simple one: 2x^2+7x+3

    Step 1: Multiply the leading coefficient (2) times the constant (3) to get (6).

    Step 2: Determine (mentally) what two factors make (6) that also add up to the middle coefficient (7). You can quickly come up with (6) and (1).

    Step 3: Replace the original middle term with these two values from Step 2.

    2x^2+6x+1x+3

    Step 4: Factor by grouping

    2x(x+3)+1(x+3)

    \boxed{(2x+1)(x+3)}

    Here's a second one: 6x^2+5x-6

    Step 1: 6 times -6 = -36

    Step 2: With a little thinking, I can come up with -4 and 9 as my two factors that add up to +5.

    Step 3: 6x^2-4x+9x-6

    Step 4: 2x(3x-2)+3(3x-2)

    \boxed{(2x+3)(3x-2)}

    I hope this is helpful to you and your students. It works for mine.
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