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REFLECTION

After these three videos I watched, I now have better understandings of making a model with fractions and how to use them. These three videos were great help to me because it was easy to understand and it clearly showed how we can multiply fractions in the easiest way. The first video tells me how I can easily multiple two mixed numbers. Even though, I knew the way of doing it, I didn’t really care about the reason we were doing it, but after this video, I was sure. You guys have to watch these videos, it might be a great help for your learning in fractions.

  1. fraction √
  2. numerator √
  3. denominator √
  4. improper fraction √
  5. mixed number √
  6. simplify/reduce/lowest terms √
  7. relatively prime (maybe)
  8. GCF √
  9. LCM √
  10. like fractions √
  11. equivalent fractions √
  12. estimate √
  13. benchmarks √
  14. sum √
  15. difference √
  16. product √
  17. multiply √
  18. algorithm (not really)
  1. name a fraction √
  2. make equivalent fractions √
  3. move between improper fractions and mixed numbers √
  4. find the LCM of two numbers √
  5. recognize when two numbers are relatively prime (maybe)
  6. move between fractions, decimals and percents EFFICIENTLY using concept based strategies! √
  7. Recognize the most common fractions, decimals and percents:  1/2, 1/3, 1/4, 1/5, 1/8, 1/10 √
  8. compare fractions EFFICIENTLY using at least 4 different strategies. (not really)
  9. sort fractions into benchmarks of 0, 1/4, 1/2, 3/4, 1, 1 1/2 √
  10. find a fraction of a number, ex.  1/2 of 48 or 12/15 of 20 √
  11. find the ESTIMATED answer to addition and subtraction fraction and mixed number problems √
  12. find the ACTUAL answer to addition and subtraction fraction and mixed number problems √
  13. write algorithms for adding and subtracting fractions and mixed numbers (not really)
  14. prove that 2/3 + 4/5 does NOT equal 6/8 in at least 2 different way √

Things that you will be able to do by the end of this week:

  1. use a model to show multipllication of fractions √
  2. mutliply fractions √
  3. mutliply mixed numbers EFFICIENTLY √

 

REFLECTION ON THE 3 VID

 

1) On the test- smart or hard?

I feel great about my test because I got everything right. It could have been possible because I worked smart not hard. I used every smart ways I could use to solve a problem. LCM,GCF,Ladder Method, Prime #s, and divisibility rules. I think it was possible for me to work smart because the way I learnt was really easy to understand and it was a brand new unit for me so I worked really hard. I mean SMART.

2) Future-What do you need to study or remember?

I need to remember how LCM and GCF are used and what are the left overs? I always get stuck in the middle of these kinds of questions. Do I have to use LCM or GCF and what are these left overs for? I have studied and now I know how to manage on knowing them but it’s still confusing and that can be the part I need to study and remember

3) Do you have any questions?

As I have asked in Ms.Jenny’s blog. I am not really sure about what  relatively prime really means. It is so easy if we just use a prime number but is there any ways of making pairs of relatively prime with composite numbers? I gotta find out, and if you have any ideas please write them as comments. It’s always welcome!!

1. Using Divisibility Rules

(click this link to see the divisibility rules)

2.Using models

Odd+Odd=Even (3+3=6)

Even+Even=Even (6+6=12)

Odd+Even=Odd (7+6=13)

3.Prime Factorization

-Factor Trees

-Ladder Method

4. Smart way to find LCM GCF

LCM=Least Common Multiple

GCF=Greatest Common Factor

We use the ladder method to find these two.

To find the GCF in the ladder method, we should multiple up all the numbers on the left side.

To find the LCM in the ladder method, we should multiple up all the numbers that are outside.

This can only be work if there are two numbers in the inside.

5. The 4 important words

Abundant=24 – 1,2,3,4,6,8,12,(24)-The sum of the factors are higher than 24

Deficient=27 – 1,3,9,(27)-The sum of the factors are lower than 27

Square=25 – 1,5,(25)-the factor in the middle (5) times itself (5) equals 25

Perfect=28 – 1,2,4,7,14,(28)-The sum of the factors equals to the actual number

6. Remember all the prime numbers between 1-100

2 3 5 7
11 13 17 19
23 29
31 37
41 43 47
53 59
61 67
71 73 79
83 89
97

7. Remember all the factors of 1-50

Click here to see a lot of examples and it shows all the factors of 1-1100

Our new unit is about ‘how do we work smart, not hard’. We learnt easier ways to divide only with our mental thinkings. We have learnt from 2~12. Here are some examples that might help you to think easier bout division and divisibility rules.

#=Number

#2=If the number is even number or ends of with the multiple of 2, then the whole # is divisible by 2.

#3=If we add the digits and the sum is the multiple of 3, then the whole # is divisible by 3

#4=If the last two digits are the multiple of 4, then the whole # is divisible by 4.

#5=If the number ends with the number 0 or 5, then the whole # is divisible by 5.

#6=If the number is divisible by 3 and 2, then the whole # is divisible by 6.

#8=If the last three numbers are the multiple of 8, then the whole # is divisible by 8.

#9=If we add the digits and the sum is multiple of 9, then the whole # is divisible by 9.

#10=If the number ends with 0, then the whole # is divisible by 10.

#12=If the number is divisible by 3 and 4, then the whole # is divisible by 12.

 

#2=[234--even number (O)]—-[233--odd number (X)]

#3= [236--2+3+6=11 (X)]—-[267--2+6+7=15(O)]

#4=[234--34÷4=8.5(X)]—-[232--32÷4=8 (O)]

#5=[250,155,265 (O)]—-[246,129,523,792 (X)]

#6=[462--even number+(4+6+2=12) (O)]—-[392--even number, not divisible by 3 (X)]

#8=[1252--252÷8=31.5(X)]—-[1272--272÷8=34(O)]

#9=[1223--1+2+2+3=8(X)]—-[1962--1+9+6+2=18(O)]

#10=[122,1239,124,192(X)]—-[120,290,600,5320(O)]

#12=[324--3+2+4=9 + 24÷4=6 (O)]—-[123--1+2+3=6, last 2 #s are not divisible by 4. (X)]

This semester, I really had fun learning new maths with one of my favorite teacher, Mr.Frank. I learnt a lot of things during math classes. I learned a lot of plots and graphs, Landmarks and units, percents, also using Geometry Template. But human can’t be perfect. There were some of things I couldn’t use and work really well. They are co-operating and risk-taker.

Co-operating = work with other people by communicating, sharing ideas, feelings, thoughts and opinions.

Risk-Taker = Person take risk and go out and present what they think and the answer for the solution.

I will improve these attributes next semester by raising my hands up when I think I might know the answer, go in front of the class and share what I think, communicate with others when I do a group work and Sharing ideas, feelings, thoughts and opinions proudly.

I am doing well following math classes because I keep working on my math work sheets in my house which was really helpful in school and I will keep working on it. I am good at mental math, math using shapes and graphs.

Next semester, I want to do a lot of group works and playing games because some of my friends think math is boring every time but actually it isn’t. So, I want to make them fun learning math by doing some activities, project and games. This semester, we couldn’t have fun a lot because it was the beginning of the year but we had some games from Mr.Frank which was really challenging and fun. Sadly, we can’t have that kind of games anymore since Mr.Frank will not teach us again after this semester.

I had whole lot of fun and knowledge learning math with you, Mr.Frank. I was really happy working with you and I hope you will teach us next year. I really appreciate how kind you were and teaching us as hard as you can. I will work hard so you can say to others proudly that DAVE is your STUDENT~. THANK YOU for teaching us this semester, Mr.Frank….

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