FE7B, Math, Science and Fun!

Heya everybody! How's it going? Hopefully, it's going good. Now, as for class... in math we have started a new unit in measurement where we are learning how to find the volumes of 3D figures. But first, I promised that I would give instructions to drawing a 3D figure with two vantage points from the previous math unit.

Step 1: Draw a vertical line either above or below the horizon line. When drawing with one vantage point you use both vertical and horizontal lines, but when using two vantage points, you get rid of the horizontal lines and use only vertical.

Step 2: Connect lines from the top of the vertical line and the bottom of the vertical to both the vantage points. You should have four lines in total. Two lines from the top point of the vertical line and two lines from the bottom point of the vertical line.

Step 3: Start to make two sides of the figure. Connect the lines from the vantage points to the vertical line with...VERTICAL LINES! This makes the left and right side of the box. If this is too confusing: Connect both of the lines on the top of the vertical line to the lines on the bottom of the vertical line. Step 4: Erase the rest of the lines so only your two sides are left.

Step 5: Connect the two bottom points of the figure to the vantage points. They should meet and cross over each other at one point. That will make up the third side of your figure.

Step 6: Erase the extra lines and then you're done! Congrats! Here's what your figure should look like:

Here's also what you will soon be able to do!

Next blog I'll discuss different formulas to finding the area and volume of different figures.

Now as for science, we just recently got assigned a project...A video project! Each member in the class has to choose and endangered animal in Canada and create a movie on what's going on that's bad, and how we can fix those bad problems! Creative and Fun! Right? Now, recently in our heat and the environment science unit, we started learning about the heat part since we already know a lot about the environment part!

Here's some facts that should be known about heat:

1. Heat's scientific name is thermal energy.

2. Thermal energy transfers in one direction only- Hot to cold. Example: When you burn your hand on a hot pan, the heat from the pan is being transferred to your skin.

3. Feeling hot or cold depends on which the direction heat is transferring. For example: You put your hand in cold water, and your hand feels cold because it is losing thermal energy. You put your hand in warm water, and your hand feels warm because you are gaining thermal energy.

That's all for now. I'll blog soon!

Surface area of cylinders examples.

OK. So.

I was totally going to blog today about our new math unit figuring out the surface area of cylinders. But, I saw that Eric already wrote about that. So, I'm just going to show some examples of figuring out the surface area of a cylinder.

Let's say that the radius is 4cm and the height is 8cm. We need to find out the surface area for the complete cylinder.

The formula is:
SA = 2(πr²) + 2πrh
Now, we solve
SA = 2π(4cm)² + 2π(4cm)(8cm)
SA = 2π(16cm²) + 2π(32cm²)
SA = 2(3.14)(16cm²) + 2(3.14)(32cm²)
SA = 100.48cm² + 200.96cm²
SA = 301.44cm²
The surface area is 301.44cm².

Now, we have an example with an open-ended cylinder. Or, you could say, just the curved part.

The radius is 3cm and the height is 7cm.
The formula is:
SA = 2πrh (<- you will notice this is just the second half of the full formula)
SA = 2π(3cm)(7cm)
SA = 2π(21cm²)
SA = 2(3.14)(21cm²)
SA = 131.88cm²
The surface area is 131.88cm².

Just a note, you probably realized that I figured out how to do a squared symbol! On the keyboard, you press and hold Alt and then type 0178. Now, you can get ²²² (I'm very proud of myself for finding that...)

So, until next week.
-K

Cylinders and Water Systems Summitives.

Math
OK, good evening online community. So today in class we learned how to find the surface area of a cylinder. The fist step is to separate the 3d cylinder into many 2d diagrams. (look left)
After that you need to remember the formula for are of circles (r²)
The height of the cylinder acts as the length of the rectangle and the circumference would be the width of the rectangle.
So the formula would be SA=2(π r² )+2 π r h
the home-work assigned was pg.260 Q 1+2
in question 1 we where asked to find the curved surface area and in question 2 we where asked to find the surface area of the whole cylinder.
For question 1 you only do the 2 π r h piece and for 2 you use the whole formula.
Science
Recently in science we have satarted a new project for the water systems unit. I already explaned it in the last blog.