Week 8 blog post

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 

Week 7 Blog post

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.

 

 

Week 6 blog Post

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.

 

 

Week 5 Math Blog post

This week in Math 10 we started the Measurement Unit. This is one of my favourite units in math because we are dealing with real numbers. I have learned many new concepts this week during class. The one I am going to touch on in this blog post is: how to find the surface area and volume of right prism. A prism is a solid geometric figure whose two end faces are similar, equal, and parallel rectilinear figures, and whose sides are parallelograms. In other words, a prism is a geometric shape that has a identical top and base. To find the surface area of a prism you first need to look at the formula. SA=LxW. Surface area is always calculated in units squared. You can think of surface area like wrapping paper. To find the volume you can use one of the three formulas. V= BxhxH ,V= LxWxH or V= Base Area x H. When calculating volume you will use units cubed. Volume is the amount of space inside of a solid figure. So, let’s take a rectangular prism. Let’s have the W= 21.2cm , H = 5.1cm and the L = 20.4cm .

Math blog week 3

This week in math 10 with Mrs. Burton we started a new unit. We started learning abut exponents. The new thing I learned about this past week has been the BEDMAS laws. With exponents, we follow four main laws. The division law, multiplication law, zero law and power of power law. Each law eliminates a different part of the equation. The division law is when you subtract the powers the equation. For the division law to work the bases must ALL be the same. So for example, if you have 7 to the power of 5 divided by 7 to the power of 2, you would get 7 to the power of 3 as an answer. Now with the multiplication law the bases also must be the same but instead of subtracting like you would in the division law, now we add. So if you have 8 to the power of 3 and 8 to the power of 4 you would get 8 to the power of 7 as an answer. For the Zero law exponent law it ONLY works when the exponent in a equation is 0. When that is the case, no matter what the base is the number will always be whatever the coefficient is. If there is no coefficient given, we automatically know the answer is 1 since there is an invisible 1 in the coefficient spot. The last law kids the pp law also known as the power to power law. In this law, you will ALWAYS multiply. If you have (2 to the power of 3 ) to the power of 2 t would equal 2 to the power of six because you simply multiply 2 of what is inside the ( )’s.

Week 2 Math 10

This week in Mrs.Burtons math class I learned how to switch from entire radicals to mixed and the opposite, mixed to entire.

If you take 4 as the coefficient and 12 as the radicand that can break down into root 4 squared x’s square root of 12, which is equivalent to square root of 16 x’s 12. Then you get your answer coefficient 4 square root 12 is = to square root of 192. That is how you go from a mixed radical to a entire radical. Now for changing a entire into a mixed it’s a little different. When switching an entire radical into a mixed. The steps to changing the entire to mixed are quite simply. The steps are to 1) prime factorize 2) Find perfect squares within the factorization 3) rewrite the entire as the largest perfect square number from your factorization 4) take the factorization from your perfect square number and put that number as the coefficient and the other  number of the prime factorization pair as the radicand

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