Month: September 2017

Math 10 Honors Numbers Summary

A lot of the stuff that we did on Numbers was a good review. Some new things that learned were:

  1. The Lowest Common Multiple:
    Finding all the prime factors of the two or more numbers, then multiplying it all together. Ex. The LCM of 15 and 35 is 105. Common prime factors of 15 and 35 are 3, 5 and 7. So you multiply the three and get: 3•5•7= 105.
  2. Finding Perfect Squares and Perfect Cubes using Prime Factors
    You’re able to find if a number is a perfect square or a perfect cube by looking at the prime factors of the number. So if the prime factors come in pairs, ex. 4= 2•2, then it’s a perfect square. If the prime factors come in triplets, ex. 9= 3•3•3, then it’s a perfect cube. If they come in both, then it’s a perfect square and a perfect cube, ex. 64= 2²•2²•2²/2⁶.
  3. How to make Repeating Decimals a Fraction

  4. Mixed Radicals and Entire Radicals
    You’re able to simplify radicals so that they are smaller numbers, but have a coefficient, or just keep it as a whole. An example of a Mixed Radical is 5√2 and an entire radical is √50.

Scientific Method Bubble Gum Lab

Conclusion for Blowing Bubbles

From the data that we collected from the experiment, the Hubba Bubba gum was better than the Big League Chew. With the Hubba Bubba we got the average diameter of 10.5cm while with the Big League Chew, the average diameter was only 5.83cm. Another thought was that since the Hubba Bubba already came as one piece, chewing it together was easier than having a bunch of small stringy pieces that you had to chew together to make one larger piece. Hubba Bubba also ended up to be a more flexible gum. Whereas the Big League Chew was more stiff compared to the Hubba Bubba. But at the end, these results aren’t 100% accurate we used two different bubble blowers in the experiment, so I think that the results could have been different if we only had one person doing the bubble blowing instead of having two. I think this because the bubble blowing skills of the two blowers could be different and that both pieces of gum were rather large which caused some difficulties. But at the end, the Hubba Bubba was able to produce better bubbles than the Big League Chew.

 

Final Conclusion

I think that the stretchability of the gum has an effect on the size of the bubble you’re going to blow because if the gum is stiff, then it’s not able to stretch and take in all the air that you’re blowing into the gum and pop instead from the resistance. Considering that the Hubba Bubba had stretched out 22m82cm and that the Big League Chew only got up to 2m32cm, the Hubba Bubba was able to stretch a lot more. Variables that affected the experiment were probably that Micole had blown the Big League Chew and I had blown the Hubba Bubba. Our bubble blowing skills could have been different so the results were to be different. Also, we had both found that the pieces of gum were rather large and it may have been easier to have used a slightly smaller amount of gum. The length that the gum was chewed could also be a factor of how long the gum stretched. The Big League Chew was chewed for a longer amount of time than the Hubba Bubba, which means it could have gotten stiffer from the amount of chewing that it had received when we were measuring the Hubba Bubba. But, at the same time, the Hubba Bubba had stretched noticeably longer. Also, the speed of the gum being pulled could have changed how far it could stretch. Qualitative data that we had recorded were from observing the gum before it was chewed, noticing the small details and differences between the two. Quantitative data were measure the diameters of the bubbles (Average: Hubba Bubba- 10.5cm, Big League Chew- 5.83cm), length that the gum stretched (Hubba Bubba- 22m82cm, Big League Chew- 2m32cm) and the weight of the gum at the beginning of the experiment (Hubba Bubba- 7.91g, Big League Chew 7.94g). In this experiment, we had used the following SI units: Grams, Meters and Centimeters. My final conclusion is that the Hubba Bubba is a better bubble gum than the Big League Chew.