Posts

Ratios...

Image
Hello all! Choosing ratios this week because I think one of the problem set questions is about ratios and it is giving me a little trouble.  Turns out this is a common core in 6th grade.  I haven't really checked out much of the 6th grade common cores because I think I will end up teaching younger grades, but I guess this is something I need to know!  So...ratios, here we go! What is a ratio? Simply put, a ratio is a way to compare two values.  Ratios are often expressed in a fraction. Common Core: CCSS.MATH.CONTENT.6.RP.A.1 Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. CCSS.MATH.CONTENT.6.RP.A.2 Understand the concept of a unit rate a/b associated with a ratio a:b with b ≠ 0, and use rate language in the context of a ratio relationship CCSS.MATH.CONTENT.6.RP.A.3 Use ratio and rate reasoning to solve real-world and mathematical problems, e.g., by reasoning about tables of equivalent rat...
4 comments
Read more

A slippery SLOPE

Image
Slope -- this has been mentioned a few times in our class and I just don't think I have a strong enough grasp on it and want to dive a little deeper into the subject. From what I can find slope is par to the 8th grade curriculum which is beyond what I will teach but I think it is still important for me to get a better understanding. These are the standards in relation to slope that I could find: CC.8.EE.5 Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. For example, compare a distance-time graph to a distance-time equation to determine which of two moving objects has greater speed. CC.8.EE.6 Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y = mx for a line through the origin and the equation  y  =  mx  +  b  for a line ...
Post a Comment
Read more

Volume...again...But adding it together now!

Image
Geometry seems to be a lot of memorizing formulas to me, which is why I find it a little difficult.  I want to make sure I can memorize it all and truly understand it in order to teach it in my class. Volume = length x width x height I got it!  I think... This correlates to Common Core standards in 5th grade.  Adding different shapes together is found in the below standard: CCSS.MATH.CONTENT.5.MD.C.5.C Recognize volume as additive. Find volumes of solid figures composed of two non-overlapping right rectangular prisms by adding the volumes of the non-overlapping parts, applying this technique to solve real world problems. I found a Khan Academy video that is not overly exciting, but it gets the point across and I feel like I really understand it. When thinking about it conceptually, it makes sense.  Get the volume of two shapes and add them together, but what if you have an irregular shape?  This video shows how you would go about getting the volume...
2 comments
Read more

Quotative vs Partitive Division

Image
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...
2 comments
Read more

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 ...
Post a Comment
Read more