“week 8” In math 10

Here’s what I learned in week 9 of math 10

In this week of math we learned about how to factor polynomials.

In this weeks post I plan to show a tutorial on how to factor a polynomial.

as with all of our posts we need to start with our question:

Let me teach you a trick to help with factoring.

When you are factoring to get a clean answer, the second number should add up to the two numbers you used to multiply your 3rd number.

Example:

The numbers listed in the right of the image are the numbers that factor into 12.

Now all we have to do is change the times to a plus and we will se if it adds up to our second number.

Take a moment to think about which choice is the right answer.

Perfect!

And now all we have to do is is take the two numbers from the multiplication (1, 12) and place them in two bracketed equations starting with x.

Example:

And guess what, that’s the answer! Want to check here how!

first things first we need to make our window to multiply.

After that we need complete the window (check my last post if you don’t know how to do it)

Now add all of the like terms together.

And presto! What does that number match?

Exactly! The first equation!

That means the equation was correct.

Hope you understand how to factor polynomials now!

If you don’t, feel free to leave a comment and I will do my best to answer you!

 

All images were created by me.

“Week 7” In Math 10

What I learned in Week 7 of math 10!

In this week of math we have jumped head first into polynomials!

We are just about to finish learning about multiplying polynomials and transitioning to division.

In todays post I am going to go over how to multiply polynomials, using a formula I like to call “the window method.”

Lets start off with our question:

The first thing we need to do is draw a window on our page:

And once that is done you are take all the numbers from the first bracket and place them onto their respective squares. then repeat with the second bracket. It should look like this:

The next step is easy, all you need to do is multiply the number that are connected via the top and left sides of the window (example: 2X x  X,    2 x X,   2X  x 3,   2 x 3)

Remember, that when you times a variable with the same variable make sure to add the exponents!

 

Once you have all the numbers in each box you need to add all the like terms together.

Your final answer should be:

I hope you understand how to multiply polynomials now!

If you don’t, feel free to leave a comment and I will do my best to answer you!

 

All images were created by me.

“Week 6” In Math 10

This week has been all about starting a new unit, Polynomials!

Since we have not gotten very far into the unit I thought it might be helpful to revisit something we learned back in grade nine that some people might have forgotten.

That’s right how to solve a simple polynomials equation!

You might be asking your self “why do we need to go over this again?” And to answer your question, if you are anything like me you forgot about it completely.

To start us off lets take a look at our question.

first things first you are going to want to remember that if one of the variables has an exponent it is different than the one without an exponent and should be treated as a completely different number.

the next thing you are going to want to remember is that if you have a variable by itself (Example: X) there is always an invisible one Infront of it. so in reality X would actually be 1X.

Ok back to solving the question!

the first step that we should take is organizing our numbers.

Example:

After that it should be smooth sailing from here on.

The next step is to add all the columns up.

And once your done that you should have your answer!

I hope you understand how to solve a simple polynomial question now!

If you don’t, feel free to leave a comment and I will do my best to answer you!

 

All images were created by me.

“Week 5” In Math 10

Here’s what I learned this week!

This week was mostly the same as the last.

We focused on refining our skills for our upcoming trigonometry test. (Wish me luck!)

For todays post I am going to focus on explaining how to calculate an angle on a right triangle.

I know, A lot of big math words.

But hopefully I can teach you to do it yourself!

Lets start with a question:

Ok, lets start by labeling all the sides.

The first thing we can do is remove the adjacent side as it has no number or variable.

To solve this equation we need to use Sine, Cosine or Tangent. But which one?

I like to write Soh Cah Toa out on my page as it helps me find the answer.

(please excuse the Typo for Opposite over Adjacent)

Now we can cross out the combinations that don’t work.

That leaves us with Sine!

The next part is very simple,

To solve for an Angle you have to use Sine, Cosine or Tangent to the power of -1.

If you are unable to find the button on your calculator feel free to check out one of my other posts explaining how to use your calculator for Trigonometry!

https://myriverside.sd43.bc.ca/eliasm/2023/10/02/week-4-in-math-10/

Our Equation is should look something like this:

And after plugging it into your calculator you should get somewhere around:

46.65824177

And rounding to the nearest degree we get an answer of : 47

I hope you understand how to find the angle of a right angle triangle now!

If you don’t, feel free to leave a comment and i will do my best to answer you!

 

All images were created by me.

Week 4 in Math 10

What I learned in week 4 of Math 10!

In this week of math 10 we learned about trigonometry.

I learned many things during this week but one stood out more than others for me.

And that was how to use a calculator to calculate Sine, Cosine and Tangent (or Sin, Cos and Tan for short)

And I hope to be able to teach you how to use your calculator to find the answer to some of these tricky questions!

For starters you need a scientific calculator (that should be obvious)

I will use mine for the example.

My calculators brand is: Texas Instruments Tl-30X

 

The four buttons that we want to focus on are:

the first part is very easy only requiring you to press the necessary buttons to solve the equation.

Example:

‘

The order in which you would type this would be 8, X, Sin, 58, )

but the next part is where many people have trouble.

Say you are given a question that requires the usage of Sine to the power of -1

You might scratch your head wondering how to put this into your calculator.

But i am here to hopefully teach you how!

for starters you are going to want to look for writing just above the buttons on your calculator

Unfortunately this only gets you half way through the problem as pressing the button below will not give you the right results.

the next thing i want you to look for is a button called 2nd.

Once you have found that you need to press it.

There should be a small message displaying that you are now in 2nd mode.

And once you are in 2nd mode you can interact with all of the buttons with text above them including the ones with Sin to the power of -1.

Thank you for reading, hope this helps!

If you still have any questions about my post please feel free to comment your question and i will try to answer it for you!

All images were taken by me.

“Week 2” in math

What i learned in math this week.

In this week I learned many things but the most noticeable thing I learned was a strategy on how to divide numbers to find its factors easily.

It works by dividing your number of choice with another number and recording the number you used until you reach the smallest possible number.

Example:

On the left side we can see all the factors.

Using this method is a real time saver as multiplying numbers to find the answer takes forever.

I will be sure to use this in the future as I struggle with running out of time during tests.

Clock image sourced from pexels.com