Posted on No Comments on Week 14 Math 10

Week 14 Math 10

Slope of a line:

This week in Math 10 I learned all about the slope of a line. We would use this when trying to find, locate, or describe, a line or point on a graph. The idea and method of slope is fairly simple as long as you understand the basics and know how to identify the different types of slopes.

*The slope is basically directions to find any line or point on a graph*

Things you need to know:

  • slope= rise over run (rise/run)
  • rise= up and down (vertical/y-axis)
  • run= side to side (horizontal/x-axis)
  • always start with the point on the left of the graph, because you read left to right!
  • a nice point on a graph is a point located directly on the grid lines and not in between (no decimals)
  • positive slope = diagonal line pointing towards the right
  • negative slope = diagonal line pointing towards the left
  • undefined slope = straight horizontal line (parallel to the x-axis)
  • zero slope = straight vertical line (paralell to the y-axis)

How to find the slope of a line:

  1. find 2 nice points on the line
  2. connect the lines with a right angled triangle
  3. determine if the slope is negative or positive (is the line pointing left or right? right= positive// left= negative)
  4. figure out the vertical change (up and down) (rise)
  5. figure out the horizontal change (side to side) (run)
  6. put the numbers in the fraction (rise/run) and divide or reduce to lowest terms if and when possible

Examples:

Posted on No Comments on Week 13 Math 10

Week 13 Math 10

This week we started a new unit of graphing. Along with this unit comes more vocabulary than others. This is something I used to help me with the relationships between all of the words and how they are related. This photo is showing the way the x and y are connected and intertwined throughout this unit. In the blue is everything related to x and in pink is everything with y.

the x is the -> input, independent variable, horizontal axis, domain, and the first number in a ordered pair

the y is the -> output, dependent variable, vertical axis, range, and the second and last number in an ordered pair

at first I struggled with remembering what words mean the same thing. Vocabulary is a huge part of this unit so I needed toremember the relationship between the words and the x and y. This was my way of remembering, to create a photo.

Posted on No Comments on Week 11 Math 10

Week 11 Math 10

This week we learned how to factor “ugly” trinomials. These are trinomials that you cannot use that pattern to factor. The pattern is that one of the factors off the last term would add to the middle term. For ugly triennials this is not the case. At first I struggled a bit with this new concept, from knowing when to use it, toactually factoring it and knowing if its right. I was going to go early to math to get extra hep but i was determined to teach and figure stout myself. Here is the method I use to factor these trinomials that you can’t use the pattern for. And also how to know when you can’t use the pattern and how to check if its correct.

   

Posted on No Comments on Week 10 Math 10

Week 10 Math 10

This week in polynomials we covered many different methods for ways to solve different polynomial questions. I had one question I was meaning to ask, it was “what method do we use in certain situations, and know do we know when to use each different one”. Before asking I was determined to try my best to figure it out myself. I took a bit of extra time to look at these different methods and investigate my question. After a bit of extra work I answered my own question, making a few notes of what to look for when trying to figure out what method to use. I made a video explaining only a few of the methods I looked into. I tried to explain my way of knowing how you know when to use each different method.

 

Different solving methods:

  • the pattern
  • GCF (greatest common factor)
  • conjugates (zero pairs or difference of squares)

 

The pattern:

  1. has to factor to a simple binomial
  2. no leading coefficient (GCF first to reduce and simplify)
  3. has to have x² in front (no exponent higher than 2)  if so reduce with GCF first
  4. the last term has to have a factor that adds up to the middle term

GCF (greatest common factor)

  1. all numbers have to have something in common
  2. all numbers have to be divisible by the same # or variable
  3. used to simplify the polynomial so you can do the pattern after

Conjugates:

  1. no middle term
  2. a factor of the negative last term has to equal 0
  3. can use the pattern if you recognize that the middle term has t0 add to 0

 

Posted on No Comments on Week 9 Math 10

Week 9 Math 10

This week was mix, with mostly grade 9 review and some new concepts about polynomials. I had some struggles at the beginning but now I am pretty confident with my work. What has made me really be more successful was making mistakes, I then would learn exactly what I did wrong and never let it happen again. There was one question that we did that really stood out to me as a learning point. This question I got wrong the first time but eventually figured out what i did wrong, now I know how to do every question that is similar to it. Here is a video I made of an example of my mistake and my correction.

Another thing I learned that i thought was really cool was about the patterns we can use to solve/simplifly the simple binomials. A simple binomial is one that starts with an x and then a constant it would not include any exponents. Here is an example one and (x+6)(x-2)

The pattern is to multiply the x’s, add the constant terms and add an x at the end, and then multiply the constant terms. This is a faster way for me to do the simple questions all in my head. I think that it is really cool how we can use patterns in lot of different things, like in polynomials and math. Here isan example for you to better understand the pattern we use.