During the fourth week of Foundations of Mathematics and Pre-Calculus, I learned how to convert a rational exponent into a radical. Doing this is very simple. For example: . To complete this procedure, the denominator equals the root of the rational exponent. Then, the numerator is the power of the radical. After these steps you get your radical. Although, if you use variables you cannot evaluate the answer, if the value of the variable is unknown. Also, there is a way to remember how to do this procedure, draw a picture of a flower, with a root. The root of the flower is denominator of the power, and the top is the numerator. Finally, use the method above to solve the radical.
Month: February 2017
Penny Lab Conclusion
The analysis of our results were that water on the penny by itself, is more cohesive than water on a penny that is submersed into a soapy liquid solution. Our hypothesis was negated because our results showed that even if we carefully and equally distribute the water on the penny, we still have averages close to other groups. To expand our research we would try using another substance than merely water and soapy liquid.
(The above image is part one of our Penny Lab experiment. Here we used an eye dropper to drop water on a penny.)
(The image above is part two of our Penny Lab experiment. During the procedure we dipped a penny in the pink water, and then we used to eye dropper to drop water on the penny.)
Week 2 – Converting Entire Radicals into Mixed
During the second week of Foundations of Mathematics and Pre-Calculus 10, I learned how to convert a entire radical into a mixed, with a index of 2. You can convert a entire radical into a mixed by finding the highest perfect square and factoring it out. This equals to the coefficient. Then you multiply the coefficient by the radical whatever number is left. Note: always simplify, if you convert a entire radical into a mixed, and if the radicand can be factored by a perfect square still, simplify it by taking it out the radicand and multiply by the coefficient again.
Image:
Float Your Boat Challenge (Lab)
Float Your Boat! – Scientific Method Project
Name: Josh Secrieru BLK: C
CHALLENGE:
Create a boat that can float in water and can hold the most amount of pennies.
PROBLEM:
How to make pennies float in a boat with limited resources. (Tin Foil, two straws, one marshmallow, and a piece of tape).
HYPOTHESIS:
If we structure the boat with a rectangular shape, using the marshmallow stickiness to support the edges, then the buoyancy of the boat will upsurge and it will hold more pennies.
IDEA FOR ORIGINAL DESIGN:
(The above image is our initial design of what our boat might look like).
We will cut the marshmallow in four pieces, and use it as a support for the edges. This will make the edges hold more sufficiently, rather than just scotch tape. For our tin foil, we will fold out the margins and make it a rectangular shape. Also we cut the straws in four pieces, this will act as a support beam to prevent the boat from collapsing in the water. We think that making it a rectangular design will give us more room to equally balance the pennies, which is equivalent to having more pennies that it can hold.
(The above images is our boat after it was completed, following our initial design idea).
HOW MANY PENNIES DID YOUR BOAT HOLD?
Our boat held 89 pennies.
(The image above is our boat sinking after the 89th penny was placed in).
WHAT WOULD YOU KEEP OR CHANGE ON YOUR BOAT DESIGN IF YOU WERE TO DO THIS AGAIN?
If I were to do this lab again, I would keep our rectangular shape design, which worked extremely well. Also, I would change the height of our rectangular design, because our boat sank due to the size of the walls. If our walls were higher, we could have fitted more pennies in the boat before it would sink .
Observations & Inferences
Observations and Inferences
Science 10 Name: Josh Secrieru BLK: C
Week 1 – Prime Factorization
During the first week of Foundations of Mathematics and Pre-Calculus 10, I learned how to use prime factorization to find the greatest common factor and the lowest common multiple. To find the GCF and the LCM, I used the tree diagram. The tree digram in my opinion is easier and better to use, rather than the division table. The greatest common factor of a set of numbers is the largest whole number which divides exactly into each of the members of the set. To determine the GCF, you need to find the product of each prime factor which is common to each prime factorization, then you multiply those factors that both numbers have in common. Next, to determine the LCM, take all the prime factors of one of the numbers and multiply by any additional factors in the other numbers. The larger the numbers are, the harder it is. Before, using this technique, you need to know how to do prime factorization initially. When you have larger numbers, sometimes using long division is required, although there are other techniques you can do.