Tuesday, September 20, 2016

hw #1-6B & 1-7 Distribution and the AREA MODEL

hw #1-6B Due Thurs (A)/Fri (B)
Solve using counters OR number line method of your choice
pg 34 #35-41 ODD

hw #1-7 Due Thurs (A)/Fri (B)
pg 49 #1 a-d (Hint: Treat the leading negative as a (-1) multiplier
          #9-19 ODD

SEE MathChamber Academy Unit 1 Videos on 
  "DISTRIBUTING THE NEGATIVE"

HAND IN
pg 50 #10,#14 using both methods:
- Area Model
- Procedural Algebra showing the distributive property with "arrows"; SHOW YOUR WORK IN A TOP-DOWN FORMAT

12 comments:

  1. We are in a disagreement. I say that for number ten you do 32+8x and after you add 32 and 8 you just put the x next to the answer. She disagrees with me. Am I right, or am I right.

    ReplyDelete
    Replies
    1. EXCELLENT QUESTION... we will be covering this in more depth in our next class, but you sorta know the answer already.

      I love mathematical controversies!!

      This controversy questions whether you can SIMPLIFY 32x+8 to 40x.

      Allow me to articulate the essential question.

      Will two given expressions (in this case 32x+8 & 40x) evaluate to the same result FOR ALL VALUES OF THE VARIABLE (in this case 'x')?

      When x=1, 32x+8=40 and 40x=40, therefore equivalent, right?

      Will this work for other values of x, e.g. x=2, x=17, x=-213?

      If the expressions are equivalent FOR ALL VALUES OF THE VARIABLE, then you have equivalent expressions.

      So you tell me... who's right?

      Delete
  2. On 41, how do you subtract a fraction and a negative fraction.

    ReplyDelete
  3. How can you simplify number 1a if you don't know what j is? Would it be 14j?

    ReplyDelete
  4. Just to be clear, do we show this mathematically or using the area form. Like a rectangle??

    ReplyDelete
    Replies
    1. Show the area model AND the procedural algbera... not to worry, we'll be spending the next class on many examples!!

      Delete
    2. Thank you! Really helps :)

      Delete
  5. For 1a (j+2)7 can you add 7j and 14 together to make 21j, or would (7j+14) be the answer?

    ReplyDelete
    Replies
    1. I'm gonna assume that you didn't take my advice and watch any of the 1-7 videos on MathChamber OR read the answer above regarding the handling of the expression "32x + 8" which is really the same question you just asked.

      The end of this video should help...
      http://www.screencast.com/t/03gtXj4vEUB

      lmk if this helped.

      7j and 14 are terms in an expression.

      A "term" can be a number, a variable, or the PRODUCT of a number and a variable or variables.

      5; 5x; 5xy; 5x^2y; -5x^3y^2; are all considered terms

      In an algebraic expression, terms are separated by a plus or minus sign.

      Like terms share the same variable(s) (to the same exponent)

      5 and 6 are like terms because they are both CONSTANTS, they combine to form the number 11.

      5x + 6x are like terms, they combine to form 11x
      5y^2 + 6y^2 are like terms, they combine to form 11y^2
      5x + 6 cannot be combined, they are not like terms.

      Delete
    2. Ok thanks Mr. C that helped

      Delete
    3. shall I call you Mr. or Ms. Resourceful?

      Delete