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Showing posts from October, 2018

Quotative vs Partitive Division

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Being that this does not even ring a bell from my elementary school years I thought I would look into it a little further. QUOTATIVE: DEFINITION: Quotative division  involves taking a set of size A and forming groups of size B. The number of groups of this size that can be formed, C, is the quotient of A and B. QUESTION TO ANSWER: Do you know how many belong in each group and are you trying to decide how many groups you have? QUOTIENT: Number of parts PARTITIVE: DEFINITION: A  partitive division  problem is one where you know the total number of groups,and you are trying to find the number of items in each group. QUESTION TO ANSWER: Do you know how many groups you have and are you trying deciding how many in each group? QUOTIENT: The size of each part I need a mnemonic to remember the difference for sure.   Basically Part= size, Quot = number but need to think of how to remember this.  Will come back to that! For a little in...

PEMDAS or in my case PPPPPPPPEMDAS

I do a lot of excel math at work and I definitely over parenthesis!  I put parenthesis around everything I know should be together...because I am not sure how excel will calc things...because I am definitely not super strong with the order of operations! Order of operation starts in the 5th grade in common core: Write and interpret numerical expressions. CCSS.MATH.CONTENT.5.OA.A.1 Use parentheses, brackets, or braces in numerical expressions, and evaluate expressions with these symbols. Many people will use the tool PEMDAS for order of operations: PEMDAS Parenthesis Exponents Multiplication Division Addition Subtraction Seems easy?  Not so much! Multiplication and division are basically the same thing (multiplying by a fraction is division, adding negative numbers is subtraction) so it doesn't really work to always do M before D or A before S. The correct way is to do PE then M/S right to left and then A/S right to left.  It is not as ...

Place value - another look and Arrays

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I wanted to look again at place value.  I think this is at the core of a lot of mathematics and want to make sure I fully get what we are talking about. In some sense I feel I am over complicating things because I am pretty good at math and I am feeling a bit confused, but I have to understand in order to move on. So, what exactly is place value??? PLACE: The position of a digit in a number what?? It's simple.  I am definitely over thinking this.  All this means is is it in the tens, the hundreds, the thousands, then thousands, etc. What is the place of the underlined number? 9 0,000 - ten thousands 252, 8 75 - hundreds VALUE: What is the value of the digit  in it's place? Again, this is so simple. What is the value of the underlined number? 9 0,000 - 90,000 252, 8 75 - 8 hundred This is simple.  But, for 3rd graders this is a concept they have to grasp in order to move on.  Different ways to go a bout this is to do examples like the abo...