Wednesday, November 17, 2010

4.1.1 Chapter 4 Algebra Patterns: After Problems #1,2 on Worksheet

Having completed the first two problems on the Day 1 worksheet of Chapter 4, you will benefit from watching an Australian speak about the patterns using match sticks. During the video, copy his match diagrams and the information he places to the right of the diagram.

After you watch the video and copy the drawings, numbers, and rules write a 2-3 sentence reflection on the process of patterns and rules.  Thoughts you may include:

What aspect(s) of this video made the process more clear?
What is the first thing you look for when completing these problems?
What do you see as ALWAYS happening?

If you can create a REPLY on your computer after this POST, then please do it!  If not, write it in your notebook!  It will be reviewed by your teacher and awarded points.


31 comments:

  1. The first thing you look for in a problem is the pattern and how much it goes up by. The thing you always see happening is the pattern.

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  2. I believe that this video has explained very well that the first thing you look for when completing these kinds of problems is to find the number of STICKS in the next diagram.

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  3. He told us how we can find the rule for some shapes. And how to siplify the problem more.

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  4. The first thing you should try to look for a pattern. There always has to be a pattern in a problem for it to make sense. Personaly for me,he went slow.

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  5. The things that made it clear is that he made it really easy to understand so that helped mento learn the process. Another thing is that the first thing that I look for in those problems is how many squares are in the problem.

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  6. The color coating on the squares helped me as well as the way he showed the process.

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  7. The number of matches is equal to the number of squares times 3 plus 1. I like how the matches make squares which makes it easier to visialize.

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  8. The first things you look for is a pattern with the boxes. I always see a pattern in the problem. I learned that instead of the rule you can say like 3 groups of three and add one.

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  9. He made it easier for me by show different way to get to the equatio so that you can pick the one that is easiest for you. I would always find how many ( in this ase match sticks) are in each part of the pattern.

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  10. I always look for the y of the 0 figure because the y is always in the equation. I thought it was helpful when he said there was 1 group of 3+1 is like saying 3x1+1.

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  11. Patterns and rules are alot of like because the pattern will gain as much as the rule says to add. When I have a rule or pattern I look for thing that are the same.

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  12. I liked the way he used shapes to explain the process. I like looking for the rule. There is alwas a rule.

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  13. I look at the pattren and how much it goes up by. Also it was clear when he told us how to find the rule.

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  15. The first thing i first look at is if there is a pattern in it. If there is a pattern that will help you be able to find the rule.

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  16. The Australian dude told us that when we have a pattern, we can easily make an equation (if you understand the material). First, you want to find the interval between the y's. The number that you get is what you multiply x by (see example below). So, then, if you have zero, the y for zero is what you ad or subtract from x. If there is no zero take the y interval and multiply it by x, then subtract it from y. that is your y for zero

    x -2 -1 0 1 2 x
    y 3 5 y=

    there is 2 between 3 and 5. So, you have 2x. But, you don't have the y for zero. In that case, take, for instance, -1 and multiply it by 2 (2 * (-1)) you get -2. Now you have to add 7 to get to 5, so, your y for zero is positive 7. making your equation 2x+7.

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  17. the first thing you look for is a pattern. he was clear about what the pattern was.

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  18. I believe he explained very well that you take the number of squares that are in the problem and multiply by 3 and then add 1. I also think that when he changed the colors on the sticks, it helped to visualize and understand it better.

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  19. I liked that it showed te different ways to find the eqaution. When I am looking for the rule I would start out by looking at how many( in this case matches)bare in all the figures it provides me with.

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  20. The aspects that helped me out was simply drawing out the figure and breaking it dowm into 3+1 and 3+3+1. the first thing to look for is how much of something is provide to you.(for this problem I would look at the number of matches)What is always happening is what ever you have is always increasing by the same rule.

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  21. i liked how the man went into depth about the step to figure out the equations and how using little things inside the problem itself can help a ton.

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  22. The way he colored each step made it easier to follow along with him and the problem.
    You have to find the pattern first, because then you can figure out the rule and then you can finally figure out the rest of the table. There is ALWAYS a pattern that can be seen some way.

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  23. I think the way he explained it kind of slow and somewhat repeated himself made it easier for me to understand. You always want to look for the rule, which was to make another square you have to add 3 matches.

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  24. The thing I always look for is the pattern, when you find a pattern you can try to find the rule. What made it clear to me is the squares in the pattern.

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  25. I think that by using the different colors it made it eaiser to understand what he was doing and he explained it really well. Now I understand how to do it a little better then I did before. The rule was to add on three more matches in the shape of a square to each problem.

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  26. The thing I usually look for is the pattern between the x and y then when i find it i try to find the rule. What helps is the drawings.

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  27. It helped that he colored the Boxes and made the pattern easy to understand. Then he clearly explained how to find the rule.

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  28. I usually find the pattern first and then put it as my x. What helped me understand this more is when he showed us the squares and number of matches.

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  29. The first thing you look for is a pattern. Finding a pattern helps you find the rule faster because if the pattern is +4 each time it would be 4x then you do that then add/subtract to get the amount of units in the figure.
    Ex: x 1 2. 3. 4
    y 3. 7. 11. 15. + 4. 4•1=4-1=3. 4•2=8-1=7
    Rule- y=4x-1

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  30. What made this video very easy to understand as that he explained himself very well.what you need to look for in A problem is how many sticks are in the pattern.There was always a rule.

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  31. the video showed us that in these problems, you need to find the amount of objects in it/ in this case its sticks.

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