Category Archives: Grade 10

Week 5 Math Blog post

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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

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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

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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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Math Journal #3

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What was your first thought when you read the problem?

At first glance I was scared haha but after reading the full question along with part a, I realized it gives you a lot to work with and I was exited to start trying to figure out the equation.

• What information is included in the problem?

It includes the peak of rain (2.85m) the drop of rain (2.25m) and it let’s you know what variables to use.
• What information might you need to solve the problem?

What h and m is.
• How can you find that information?

You find H by taking mt+b and m = 2.25-2.85 over 4-0 which is = to 0.6 over 4 which simplifies to -0.15
• What strategies could/did you use to solve the problem?

I didn’t use any strategies.
• Did you run into any roadblocks while working on your problem? How did you resolve them?

I forgot the formula for m.
• Did you learn anything new working on this problem?

Maybe just where to place the variables for m.
• Did your solution surprise you?

No
• Did your solution make sense? How did you check?

Yes , I checked the first time and it was correct. I checked in the back of the book.
• How did you feel while working on this problem?

Good, tired
• Did this problem remind you of anything?
• Is there another strategy that might have worked to solve this problem?

I don’t think so, possibly

• Can you think of an extension to this problem (is there something else you could solve building on your work)?

Just graph the equation.
• Would you feel comfortable solving another problem like this, or would you like to practice more problems first?

More practice, always more practice before doing it again.

What are some resources to help you with your educational goal?

I really like having recourses like my teacher (Ms.Wong ) friends who have done well in math, tutor and even my uncle. Plus khan academy is amazing, There are also apps you can buy/get for your phone to “play” that actually make math fun.

Math Journal #2

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  • What was your first thought when you read the problem?

Question 7 on page 567 looked easy when I first read the problem.
• What information is included in the problem?

The question only included what y is equal to
• What information might you need to solve the problem?

Well its asking for the graph and you need a y and an x to graph so having what x is equal to would be helpful.
• How can you find that information?

That’s what was confusing me during this question, it doesn’t have a x intercept
• What strategies could/did you use to solve the problem?

I didn’t use any particular strategies.
• Did you run into any roadblocks while working on your problem? How did you resolve them?

Yes, it really confused me how there was no x intercept. I wasn’t used to seeing this kind of question.
• Did you learn anything new working on this problem?

No, I just had to look back into my textbook to refresh my brain
• Did your solution surprise you?

Yes
• Did your solution make sense? How did you check?

I checked the first time in the back of the textbook and my answer didn’t make any sense. So i re did the question and checked with my tutor and I got it the second time around.
• How did you feel while working on this problem?

I felt a little discouraged the first time around just because I didn’t get it after working on it, but when I finally got it I was extremely happy, as I am anytime I get an answer correct.
• Did this problem remind you of anything?

No
• Can you think of an extension to this problem (is there something else you could solve building on your work)?

No not that I can think of .
• Would you feel comfortable solving another problem like this, or would you like to practice more problems first?

Yes, my tutor (Kenny) showed me what I did wrong the first time and now I know exactly how to solve questions like this.

What are some resources to help you with your educational goal?

Lately I’ve been using Khan academy and its been helping so much.

Math Journal #1

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  1. My first thought when I read this problem was that it looked very very hard. After reading it a couple times I realized what I had to do and it ended up being much easier than I though.

 

2. We know that t is the temperature, and we know that N(t) is the daily number of cups sold when the average temperature is t.

 

3. To figure out question D you need to find question E so u can know the lowest temp possible.

 

4. Yes, I learned how to put to calculate the lowest avg. temperature.

 

5. No, once I figured out what the question was asking, it was pretty straight forward.

 

6. It kind of surprised me that the lowest was -41 degrees.

 

7. Yes, my solution made sense.

 

8. I just looked in the back of the book to find the proper answer, and was surprised when  my answer was ht correct one.

I felt good doing this problem. It was a good experience.

 

9. No, this problem didn’t remind me of anything

 

10. There probably is more than one way to figure this problem out, but I think the way I figured it out is the most basic way to figure it out.

 

11. Maybe just finding different Provinces with different temperatures, or even find out how much would sell at certain times int he day.

 

12. I would like to practice maybe just one more like this before a test, but I feel pretty comfortable with these kinds of questions.