on This week in Math 10, we talked about how to find the area and volume of a sphere. In the example shown below, the diameter is 8 cm, and the radius is 4 cm. The results show that using the formulas show that the volume of this specific sphere is 268.1 cm^3. The surface area of the sphere is 201.1 cm^2.
on This week we learned about conversion between the Imperial and Metric system. We learned how to convert units between the Metric system, the Metric system to the Imperial system, and how to convert units between the Imperial system. I’ve found this particularly interesting because I travel to the US a lot, so I’ve always wondered how big miles are in relation to kilometres.
on This week we did a review on what we needed help with during this unit. One thing I learned this week was simple, but it could cost me a lot if I forget to do it during the test. I learned that when you have a equation with exponents, a power of a power exponent, and a regular number, (such as -5, or 43) you have to treat the regular numbers as they have an exponent of 1.
on on on Using the numbers from my last blog post, I’m going to incorporate the result of our slope equation into our new equation, y=mx+b. The y and the x don’t need to be solved for, which was hard for me to understand at first. But I like to think of them as substitutes. They’re just there to replace the y and x axis until they come into play. B, however, needs to have a number in it. In this example I used 4.
on This week, we learned how to find the slope.
The coordinates I used would look like this:
(3,4) (6,9)
All you have to do is plug in the numbers, and you’re set to go!
The slope for this equation would be 6/2, or 3.
on This week, we learned how to find the slope of a line.
In this example, the rise/run is 21/7, so therefore the slope is equal to 3.
on This week I learned the difference between independent variables and dependant variables.
Dependent Variables:
Dependent variables are variables that depend on the independent variables. In all sense, when the independent variables change, so do the dependent variables at the same rate as the independent variable.
Independent Variables:
Independent variables stay consistent and are generally things that are being tested on.
on This week, we were reviewing for the mid-term. I had difficulty with the measurement unit, so I made sure I reviewed a lot of that content. I had a lot of trouble in the past with Pythagorean Theorem, but in my studies, I actually figured out how to do it.
Step 1: Write out the formula. This helps you control your work and show the person correcting it what exactly you’re doing.
a2 + b2 = c2
Step 2: Punch in the numbers.
52 + 22 = c2
Step 3: Solve the exponents.
25 + 4 = c2
Step 4: Add the two numbers together.
29 = c2
Step 5: Find the square root of the number.
5.4 = c2
Step 6: And you’re done! Side C is equal to 5.4 cm (or whatever unit)
