BonnieJeanne's Personal Learning Path

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...

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 ...

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...