Sunday, 26 October 2014
Sunday, 5 October 2014
Mathematical Reflections #2
In math class, we've recently started a new unit on integers and rational numbers. In the last unit, we started off with the first mathematical reflection, so here's another. The first question asked was (1.A.) "How do you decide which of two numbers is greater when both numbers are positive?" Well, when you first look at a number, if one number has more digits than the other, then that number with more digits is greater. If they both have the same number of digits, then look at the first digit of the number, if it's greater than the other, then that number would be greater. If the first digit is equal to the other number's first digit, then look at their second digit. Looking at the second digit and so forth, and seeing if they are greater or less than the other number's helps identify the greater number. (1.B.) "How do you decide which of two numbers is greater when both numbers are negative?" You can tell if one negative number is greater than the other by looking at a number line and looking at which one is close to zero. If you're not looking at a number line, just ignore the negative sign, and look at the actual number (digits.) The smaller number is greater while the greater number is smaller. For example, -10 and -5, -5 is greater. (1.C.) "How do you decide which of two numbers is greater when one number is positive and one number is negative?" We all know that the positive number is always the greatest. When you look at a number line it could help you determine the greater number by looking at the placement of the numbers. The positive number would be on the right and the negative number would be on the left.
(2) "How does a number line help you compare numbers?" A number line can help you compare numbers because as said before the negative numbers are on the left and the positive numbers are on the right. When comparing one negative number and a positive number you can just look at where the number is, either on the left or on the right. If you are comparing two positive numbers, you can look at a number line and see which one is closer to zero, if it is closer to zero than it is less than the other number. Something similar would go for the negative numbers, the number closer to zero would be greatest. Something that could help you on the number line, is using the jumping method. No, you don't actually jump on a number line. When you are using the jumping method, you see how many jumps it would take one number to get to another.
(3) "When you add a positive number and a negative number, how do you determine the sign of the answer?" When you add a positive number and a negative number, the answer will also be a positive number. For example, if you're looking at a number line, and the problem you're trying to figure out is +7+-5=? You would start at 7 and you would count towards the zero, since negative numbers are on the left, you would "jump" to the left. You would end up landing on 2. Alway remembering that whenever you add a positive with a negative, you end up with a positive number.
(4) "If you are doing a subtraction problem on a chip board, and the board does not have enough chips of the colour you wish to subtract, what can you do to make the subtraction possible?"
Knowing that when you add negative one to positive one, those numbers cancel each other out, meaning that they would equal zero. If you add an amount of pairs (negative one and positive one) to the problem, it would just be adding zeros, so it wouldn't harm the equation. Then, by breaking these pairs up, you get enough chips for both the positive and the negative, by erasing the extra chips, you are able to make the subtraction possible.
(2) "How does a number line help you compare numbers?" A number line can help you compare numbers because as said before the negative numbers are on the left and the positive numbers are on the right. When comparing one negative number and a positive number you can just look at where the number is, either on the left or on the right. If you are comparing two positive numbers, you can look at a number line and see which one is closer to zero, if it is closer to zero than it is less than the other number. Something similar would go for the negative numbers, the number closer to zero would be greatest. Something that could help you on the number line, is using the jumping method. No, you don't actually jump on a number line. When you are using the jumping method, you see how many jumps it would take one number to get to another.
(3) "When you add a positive number and a negative number, how do you determine the sign of the answer?" When you add a positive number and a negative number, the answer will also be a positive number. For example, if you're looking at a number line, and the problem you're trying to figure out is +7+-5=? You would start at 7 and you would count towards the zero, since negative numbers are on the left, you would "jump" to the left. You would end up landing on 2. Alway remembering that whenever you add a positive with a negative, you end up with a positive number.
(4) "If you are doing a subtraction problem on a chip board, and the board does not have enough chips of the colour you wish to subtract, what can you do to make the subtraction possible?"
Knowing that when you add negative one to positive one, those numbers cancel each other out, meaning that they would equal zero. If you add an amount of pairs (negative one and positive one) to the problem, it would just be adding zeros, so it wouldn't harm the equation. Then, by breaking these pairs up, you get enough chips for both the positive and the negative, by erasing the extra chips, you are able to make the subtraction possible.
| This picture of a number line, was taken from Creative Commons. |
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| This picture of negative and positive number chips, was taken from Creative Commons. |
Wednesday, 1 October 2014
Wellness/Fitness 2014
How smoothly would your wellness wheel roll?
I think that my wellness wheel would roll pretty smoothly, but sometimes it may not. I think my wheel is mostly pretty balanced, but in some places it would be a little unbalanced.
In which areas of your life are you most well?
One area of my life that I am most well is in my social wellness. I have many friends that I can go to in good times to celebrate and I have friends that I can call whenever I feel sad or low. Sometimes, not most times, but sometimes I also express my emotions by laughing, crying when I'm sad and I also express anger or fear. I take time for fun and I have a satisfying and fulfilling relationship with my family, even though sometimes we fight.
In which areas of your life are you least well?
The area of my life that I'm least well in is my psychological wellness. I don't always achieve goals I set for myself, but sometimes I do. Most times I put off important tasks to the last minutes, and I definitely need to work on that.
What improvements would you like to see in your wellness wheel?
I would like to see my psychological wellness improve, so my wheel could be more balanced. I can achieve this by achieving more goals, associating with more people with positive attitudes, etc.
I think that my wellness wheel would roll pretty smoothly, but sometimes it may not. I think my wheel is mostly pretty balanced, but in some places it would be a little unbalanced.
In which areas of your life are you most well?
One area of my life that I am most well is in my social wellness. I have many friends that I can go to in good times to celebrate and I have friends that I can call whenever I feel sad or low. Sometimes, not most times, but sometimes I also express my emotions by laughing, crying when I'm sad and I also express anger or fear. I take time for fun and I have a satisfying and fulfilling relationship with my family, even though sometimes we fight.
In which areas of your life are you least well?
The area of my life that I'm least well in is my psychological wellness. I don't always achieve goals I set for myself, but sometimes I do. Most times I put off important tasks to the last minutes, and I definitely need to work on that.
What improvements would you like to see in your wellness wheel?
I would like to see my psychological wellness improve, so my wheel could be more balanced. I can achieve this by achieving more goals, associating with more people with positive attitudes, etc.
MY WEEKLY FITNESS
Record an average week of fitness. List your average daily exercise in the table below.
Monday
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Tuesday
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Wednesday
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Thursday
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Friday
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Saturday
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Sunday
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| 1 hour of walking | 30 minutes of walking | 1 hour of walking | 1 hour of jogging | 30 minutes of swimming | 1 and a half hours of power walking/running | one hour of swimming |
What healthy benefits of exercise caught your attention?
One of the healthy benefits of exercise that caught my attention was that exercise improves your posture and that it can reduce the risk of breast cancer by 60%.
What benefit would you like to improve at?
One benefit that I would like to improve at, well as I said before, exercise improves your posture. And as my mom has always told me, I have pretty bad posture, so that would be something that I would like to improve at.
In your opinion, are you getting enough exercise? Explain.
Even though I do get some exercise in throughout my week, I still think that I should be getting more exercise. I do walk and run throughout the week, but I think that if I joined a sport that I enjoyed I would definitely get enough exercise.
If you need to make some changes, what are they and how will you achieve them? If you get enough exercise, how will you maintain?
One change I need to make is to do a lot more exercise, I will achieve this by getting motivation such as friends to come and join me, so I could also fit in another factor of wellness to the exercise part. If I do achieve the goal and if I do get enough exercise I will hopefully maintain this by writing down a schedule and writing how long I've been doing exercise.
List 3 ways in which exercise helps you maintain different areas of your wellness
1. Exercise can help you socialize with more people. Joining a new sport, means joining a new team full of people, so what a better place to meet new people.
2. As most of the benefits were talking about, exercise really helps your physical feature. It makes you more fit, and yet you are much more healthier. Exercise also reduces the risk of sicknesses.
3. Exercise can help your spiritual wellness improve.
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