This week I learned about the “slope man” which is a visual aid to help me figure out if the slope of a line, in graphing, is positive, negative, undefined, or zero. If a slope is negative, the line is decreasing and if a line is increasing, it is positive (shown by the eyes of the man). If a line is undefined, the line is straight and runs vertically up and down (shown by the nose). If a line is zero, the line is straight and runs from left to right horizontally (shown by the mouth).

Here is what the slope man looks like:

One thing I learned this week, was what exactly a relation and a function is. A function, is when an input has only one output (it is a special relationship) and a relation, is when an input has many different outputs (it is not a special relationship).

One thing I learned this week, was when to leave dots on a graph or connect them with a line. If something being measured is countable, like objects, (for example; people, or candy) then the dots should be left the way they are. If the thing being measured on the graph is something that is measurable (for example; time), then the dots should be connected with a line.

 One thing on the midterm, was how to convert units in the metric system to the imperial system by multiplying two measurements together (one is the original number and the other is the conversion) to get the new measurements.

This week we learned how to expand polynomials using an area model.

It is very similar to the method we used the previous week with expanding binomials. The only difference with this, is that it requires an extra 2 boxes on the end for the extra terms. We would add the middle like-terms like normal to get the expanded version.