Grade 10

Math 10 Week 18

keishan2015

Math 10 Top 5

When in math there are a number of things that can help you succeed in the course. Below are my top 5 steps to succeeding in math 10…

1. Do your homework every night

Though our homework was never marked for completion it is essential to your success in math 10. You may think that you don’t have to do it since it’s not for marks but you would be wrong. Each day in math10 you will build on the concepts/ideas that you had learned the previous day. By completing your homework every night  you deepen your understanding of the concepts and allow yourself to practice the same concepts so that you will succeed on the unit test. In math repeating the same steps will allow for you to absorb and master the different skills.

2. Highlight the assigned questions the night before

By highlighting the assigned homework the night before you will save yourself a lot of time in class. Highlighting prior to the class allows for you to get a head start on the homework, this is so that you won’t have as much to do later or, so you can ask as many questions as you can in class while there is help available.

3. Make use of Mrs. Burtons abbreviations

You may think that the abbreviations that Mrs. Burton comes up with are silly and won’t help you at all but that is where you are wrong. The abbreviations make it so that you will have an easier time solving certain questions. The abbreviations such as “SOH CAH TOA”, “Can Divers Pee Easily Underwater”, “King Henry Doesn’t Usually Drink Chocolate Milk”, and “flower power” have allowed me to succeed when doing both my homework and when doing tests. I have used the abbreviations all throughout the semester, they allowed for me to remember the steps to problems that I may have forgotten otherwise.

4. Make sure to ask questions

One of the most important factors to your success in math 10 is making sure that you ask for help. When you don’t understand a question don’t be afraid to ask for help! whether it’s from another classmate, or a teacher don’t be afraid to ask for help. By not asking for help your not helping yourself at all, and are just setting yourself up to not get a good mark on the unit test. Asking questions can help you fix any mistakes your  making or clear up any misunderstandings you have about the concepts.

5. Help people at your table that need it!

By helping those at your table and explaining how to do questions you will improve your own skill. When you assist another classmate it allows for you to deepen your own understanding of the concept since you have to explain to them and possibly demonstrate how to do a question. You wont regret helping another person with their math since it would also be in your best interest to help them.

Real Motion Moments

keishan2015

Constant Velocity:

This video demonstrates the idea of constant velocity through a toy car. Velocity is used to describe how fast an objects position is changing, if it changes at a constant rate then that means that the object doesn’t speed up, slow down, or stop while it is moving. It stays at the same pace the whole time it is in motion. As one can see in the video, not once in-between the beginning and end of the track (sticky notes) did the toy car speed up, slow down or stop, it stayed at a constant pace the whole time.

https://youtu.be/PF1rzCuxuZU

Acceleration:

This video demonstrates the acceleration of a golf ball. Acceleration is the rate of change in velocity, which can be caused by a change in speed or direction. Since the ball is rolling down a slant the golf balls speed will increase with each passing second or in this case half a second. You can see the ball increase in speed as it goes down the ramp. The ball accelerates the whole time while going down the ramp meaning that the velocity changes.

Math 10 Week 17

keishan2015

This week in math 10 we started our last week of learning any new information for our upcoming unit 10 test. This week we learned about how to find the x and y coordinates when given two equations. One way of finding the coordinates is through a process called substitution. Substitution is used to solve for one variable so that you can use that value to solve for another variable in the equation.

Example:

  

Steps:

  1. First, you need to pick one of the two equations and rearrange the equation so that it is written as either x = ___ or y = ___ (x + 12y = 3 —> x = -12y + 3)
  2. Next, you need to substitute the value of that variable into the other equation using brackets. So wherever there is an x in the other equation we replace it with (-12y + 3)
  3. Workout the problem until you have isolated the variable
  4. You then put the value of the variable that has just been found into the rearranged equation to solve for the other variable
  5. After finding both coordinates make sure to write them as ordered pairs ie. (_,_)
  6. Make sure to verify your solutions

How to verify:

  1. All you need to do to verify the solutions are by inputting the values of the variables into the equation
  2. To know if you have done the solving of the variables correctly, both sides of the equation should be equal/ prove true ie: 7 + 6 = 13 or 13 = 13

Math 10 Week 16

keishan2015

This week in math 10 something I learned was how to write 3 different versions of a graphing equation. The first one I learned was called a slope y-intercept form, the second one I learned was called the general form or the “pretty form” and the last one I learned was called point slope form. Today I will be showing how to find the slope y-intercept form.

First in order to write any equation you must know at least two points about the graph. It is also important to know that the formula for slope is  and the formula for slope y-intercept is y=mx+b. In this equation m stands for the slope and b stands for the y intercept.

Example:

How to find slope y-intercept form:

  1. First, you need to find the slope using the formula  ,make sure that you simplify if possible.
  2. Since we weren’t given the y intercept we need to find what b is equal to. To do this you need to isolate b, to do this you take one of the coordinates given and input it into the equation, in this case I chose (3,4).
  3. If there is a fraction in the equation you want to make it into an integer so, you multiply the slope by x and then multiply everything in the equation by the fractions denominator.
  4. You then move the integer on the right side of the equation by adding the opposite so that you can isolate b. Remember what you do to one side you have to do to the other.
  5. Since we just want to find the value of b you need to divide both sides of the equation by the coefficient in front of b.
  6. After finding the value of b you just input all the information that you know about the graph into the equation (This only applies to the slope and y intercept).

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

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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)