Category Archives: Grade 10

Week 4 – Math 10 – Trig. ratios on a calculator and labels

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The starting of this week (week 4) we have so far learned how to do certain ratios using our calculators. Scientific ones to be exact. We learned how to change our calculator so that it is in degrees, and how to use the sin, cos, tan, and 2ndF button. We also learned how to label each triangle and which shape is which.

So, in order to figure out each trigonometry ratios you must press either the sin, cos or tan button then push in the number that is in degrees.

ex.

To find sin 68 degrees press…

sin 68 = 0.9271

The number will most likely always have a decimal so it’s smart to put it to 4 decimal places for better accuracy.

Another thing we learned is labeling each triangle. So, to find each side of the triangle (hypotenuse, opposite side, and adjacent) you need to find the angle sign. In each triangle there is a little square in one of the corners

ex.Image result for triangle with degree

the opposite side of that square or the edges of that square is pointing to the hypotenuse.

Another side that is important is the opposite side. This side is located on the opposite side of the closest point. If the sides of the point are super close together that is where the theta is. A theta is a Greek letter that is used to help find the opposite side in trigonometry.

The final side is the only one left. The last one is the adjacent side. This is the last side that can be labeled so it is obvious which one it could be.

And finally, those are all three sides labeled.

Week 3 – Math 10 – Trigonometry Ratios.

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In math 10, week 3, we went over lots of different things to do with triangles and ratios. Some important details from this are the different types of triangles.

The first one is the Isosceles triangle. This triangle has 2 of the sames sides which only one of the sides different.

Image result for isosceles triangle. Size: 120 x 160. Source: mathstricks12.blogspot.com

The next one is the right triangle, this triangle has one of the inside angles to be 90 degrees. Which is normally on the opposite side of the hypotenuse.

Image result for Right Triangle. Size: 150 x 112. Source: simple.wikipedia.org

The third triangle is the equilateral triangle, this triangle is a triangle that has all equal side lengths. It is also known as a basic or normal triangle. And each side is at a 60 degree angle.

Image result for equilateral trinagle. Size: 172 x 160. Source: mcmillangeometry.blogspot.com

Finally, the last triangle is the scalene triangle. This triangle has all different sides. Each degree is different and each length is different.

Image result for Scalene Triangle. Size: 203 x 100. Source: byjus.com

 

This week we also learned all 3 ratios, them being, Sine ratio, Cosine ration, and the Tangent ratio. The equations for each ratio are…

Sine= opposite/hypotenuse

Cosine= adjacent/hypotenuse

Tangent= opposite/adjacent

 

Week 2 – Math 10 – Exponent Rules

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This week I have learned all out the different laws when it comes to exponents. I have learned all 4 laws…

Product Law — Add powers together when multiplying like bases

ex. When you have a question like this 5^3\cdot 5^4 you add both exponents together because they share the same base number which is 5.

So it would be 5^7 which is easier to figure out.

Quotient Law — Subtract powers when dividing like bases

ex. Now, when you have a question like this \frac{5^8}{5^4} you have to divide the exponent which would be 8 divided by 4 which would be 2. But to do this you have to make sure both number has the same base which would be 5.

Power of powers rule — Multiply powers together when raising a power by another exponent

ex. For the power law, if the question is like this (2^4)^2\cdot (2^2)^3 , then you can multiply the powers beside each bracket together so (2^4)^2 you would multiply the 4 and 2 exponent together. Then for the other side (2^2)^3 you would multiply the 2 and 3 exponent together.

So your simplified equation would be 2^8\cdot 2^6

Zero Law— Whenever the exponent = 0 the answer will = 1

ex. 9^0 = 1

Week 1 – Math 10 – How I use math

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Math is always used outside of school. One reason how I use math is whenever I need to count my money when shopping. When I shop I need to find out how much tax is and how much money I have. I also would have to figure out if I have enough money to purchase the items I want. Another way I use math is when I am cooking. To cook you need to find out if you can cut a certain amount of a ingredient. How to do this is why using your math skills to chop your recipe in half or double it! Finally, the last reason why I use math in real life is with telling time. To tell time I need to see how much time I need for studying, homework, etc.. So math plays a big part in that. At the end of the day I use math everyday to solve my daily problems and needs.

Monster mug

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I just started my monster mug the day we all got back from spring break and it is almost done. Although it didn’t take that long I still faced a bunch of struggles. One was to figure out how big my starting surface had to be and how much clay I needed. Once I had that figured out I needed to think of my design. I went for a normal face/weird look which I think I achieved.

Here is it currently


I am so close to finished my mug so I am going yo focus on painting and glazing it next week

I just checked up on my mug on Monday and I noticed that the handle came off. I learned a new way to reattach it so now that is it all back together I put it in the kiln. Now today it should be ready to come out just like another one of my projects. this week I am going to work on painting and glazing my mug so that hopefully  it will be able to hand in by Monday.

So my goals for this week would be:

  1. fixing it up
  2. glazing it
  3. then handing it in