Math 10 Week 18

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

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

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

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).