This week we started Polynomial Operations.  Although we have only done a few lessons, I have already learned a lot.

I have learned all the basics of polynomials.

What is a polynomial made up of ? A polynomial is made up of variables, terms and degrees. Here’s an example of a basic polynomial expression including 3 variables, 4 terms and a degree of 4. 

There are 4 different types of polynomials.

1.) Binomial (a polynomial consisting two terms)

2.) Trinomial ( a polynomial consisting of 3 terms)

3.) Monomial ( a polynomial cosseting of 4 terms)

4.) Anything with more terms is just considered a “Poly” (Polynomial)

What is a term? A term is either a single number or variable, or numbers and variables multiplied together. Terms are separated by + or − signs.

To figure out how to find the answer to a polynomial equation can be hard for some visual learners like myself, so we can use a chart like way to find the answer of an equation. The chart/diagram looks something like this. 

And here is how I would figure out a question without a diagram/chart 

In trigonometry we use something called “SOH CAH TOA” which stands for Sine, Cosine, and Tangent. SOH CAH TOA also let’s you know what  sides you are going to use for that particular function. To find the missing hypotenuse you must follow these five simple steps.

1.) Draw and Label ( find the opp,adj and hyp) the triangle

2.) Now you will have to use the COSsine since you have the opp but not the hyp. COSsine makes up Opp over Hyp.

3.) Write it into an equation which would look like (Sin = pie /35)

4.) You then use that equation in your calculator.

To find a missing angel you start by labelling the triangle

1.) Label the triangle

2.) Since you have the opposite and the adjacent but no angle you will use tan to find the angle.

3.) The equation you will write and put it into your calculator. (ta(x)=20/5)

4.) To find the angle you have to make tan a negative (tan-1=20/5)

5.) You then put that into your calculator.

During this week of math 10 we started working with spheres. A sphere is a round solid figure, or its surface, with every point on its surface equidistant from its centre. A sphere is 2 hemispheres. The diameter of the sphere which is a straight line passing from side to side through the center of a body or figure, especially a circle or sphere. The radius of a sphere is the diameter divided by two. Radius(r) is half of the diameter(d). In this blog post I’m going to teach you how to get the SA and V of a sphere and then convert it into SA and V of a hemisphere (half a sphere). To find the SA of a sphere the formula we use is 4 x pie x r squared. Let’s say we were told that the d of the circle is 18cm.

Then to find the V of a sphere we use the formula 4/3 x pie x r cubed. Now if we know the r is equal to 9cm then all we need to do is convert the 4/3 into a decimal and follow through with the given formula.

Now to convert the V into a hemisphere you simple divide by tow because the sphere is just two hemispheres. So if our V of the sphere was equal to 3053.62 cm cubed the V for a hemisphere would equal 1526.81cm cubed.

Now to get the SA of the hemisphere form the spheres SA, it isn as easy has just divide by 2 because when you cut the sphere in half you have an extra side which is the flat top. This hemisphere is a dome shape. You use the formula 3 x pie x r squared. So with the formula you can now find the SA of the hemisphere.