Month: May 2017

Math 10 week 15

keishan2015

This week in math 10 we learned about how to find the slope of a line segment. The slope of a line is used as a way of measuring how steep the line is.

 

How to find the slope of a line segment:

  1. First, the formula to find the slope of a line segment is , the formula can also be written as
  2. We then input the numbers into the formula so:
  3. You then subtract the numbers on both parts of the fraction:
  4. If the fraction that is leftover can be simplified then you simplify it, if it can’t be simplified then you leave the fraction as is and that is your slope

 

NOTE:

  • If the line segment is a straight horizontal line then the slope will be zero
  •  If the line segment is a straight vertical line the slope can’t be defined so you would write undefined

Volcanoes Blog Post

keishan2015

JIJI. Digital image. The Japan Times. N.p., n.d. Web. 24 May 2017.

This is a photo of Mount Fuiji, an active volcano in Japan. This image relates to the PowerPoint that we looked at in class since it talked about earthquakes and the different types of volcanoes: composite volcanoes, shield volcanoes, and rift eruptions.

We also learned that the type of volcano that forms depends on type of tectonic plate boundaries involved. Mount Fuji is an example of a composite volcano. Mount Fuji is a composite volcano due to the cone like shape it maintains. The cone like shape is caused by previous eruptions that had resulted in a buildup of ash and lava layers.

Eruptions from composite volcanoes occur when magma reaches the surface and gas gest trapped below, causing a buildup of pressure. Once the pressure is great enough the volcano will erupt. Mount Fuji hasn’t erupted since 1707; after part of Japan had been struck by an 8.6 magnitude earthquake it had caused Mount Fuji to erupt 2 moths later in December, its ash had reached as far as Tokyo. Mount Fuji hadn’t stopped erupting until the start of 1708. People fear that if another large earthquake occurs that it will cause Mount Fuji to erupt and cause a big catastrophe like it had in 1707.

Works cited:

Klemetti, Erik. “Mt. Fuji: Japan’s Sacred Volcano.” Big Think. N.p., 17 Mar. 2011. Web. 24 May 2017.

Math 10 week 14

keishan2015

This week in math 10 one of the things we learned was how to calculate the length of a line segment using the x and y coordinates on the graph. In this blog post I will focus on finding the length of diagonal line segments.

Example:

 

How to find the length of a line segment:

*Note: A  and B *

When looking at the diagonal line segment one could notice that the line segment makes up part of a right triangle (shown in red), in other words think of the diagonal line segment as the hypotenuse of a right triangle. One of the ways of finding the hypotenuse of a triangle is by using the Pythagorean theorem (  ). In some cases you can count how long both side a and b are but, if you are not able to then in order to find what  and  are equal to you can use the formula  in which a =  and b =  . you then square and add the values of  and  together to get .  The last step to finding the length of the line segment is to square root both  and its value. If the square root of  and  isn’t a whole number you may leave it as a radical unless the question asks you otherwise.

Math 10 Week 13

keishan2015

This week in Math 10 we learned ore about linear equations and graphing. Something that I learned was about functions and how to identify when something is a function and when it is a relation. I also learned about function notations.

In a relation the input (x) can have more than one output (y) however, in a function this is not the case.

Function:

  • A function is a ‘special’ type of relation
  • A function is used to describe when the input (x) has ONLY ONE output (y)

Example:

Function

Relation

Function Notation

I also learned that function notation is used in place of mapping notation since they describe functions.

Mapping notation:  f: x -> 2x + 3

Function Notation: f(x) = 2x + 3, in this equation f stands for the name, (x) is the input and, 2x + 3 is the output. f(x) is read as ‘f of x’. It is also important to know that the equation is not saying to multiply f by that of x.

The f(x) notation is another way of stating the value of y in a function, y = f(x)

Equivalent Notations:

  • y = 2x + 3
  • f  (x) = 2x + 3
  • x —> 2x + 3

Example:

How to solve:

  1. First, you need to substitute all the x’s in the equation with 4 since x = 4. When substituting the x’s with their values make sure to add brackets around them.
  2. Next, (apply B.E.D.M.A.S) multiply the 3 by the 4
  3. You should then subtract 5 from 12 to get the output
  4. The answer can also be written as an ordered pair since you know both the input and output, (4,7)

 

 

Math 10 Week 12

keishan2015

This week in math 10 we learned about linear relations. This week we learned a bit more about the X and Y intercepts.

  •  We learned hat when graphing there is a dependent variable (y) and an independent variable (x)
  • We also learned how to solve for the x and y intercepts
  • When solving for the x intercept y = 0
  • When solving for the y intercept x = 0

Example:

How to solve for the x or y intercepts:

  1. If solving for the x intercept replace all y’s with zero. If solving for the y intercept replace all x’s with zero. In this case we will be solving for the x intercept
  2. next you need to isolate the variable so you + or –  the constant to cancel it out. What you do to one side of the = sign you do to the other so in this case you add 33 to both sides of the equation.
  3. Next to isolate the x you divide both sides of the equation by the coefficient (number beside the variable) to get the value of x.