This was a project where we were studying motion and graphing the displacement for ever 5 seconds for 30 seconds. Our group decided to do a toe to heel movement and we would put a tape on the heel every 5 seconds to measure the distance between the initial position and the final position. It was very interesting because i found out that there were different changes in displacement in each interval of our trials because it all really depend on the person who is doing the toe to heel. They could have been faster or slower between each interval which would change the displacement. We learnt that the graph that we drew after we recorded everything, tells us about the different movements because when you look at the slope, the displacements are not in uniform motion so we knew that there were different motions and not a similar motion between each interval. It was really interesting graphing our data and results and seeing the difference of motion.
Day: February 15, 2016
Week 2 – Math 10
Converting to entire radicals to mixed radicals & Converting mixed radicals to entire radicals was what i had the most difficulty this whole unit. It was very confusing for me to convert as i would keep using the method for converting for one of them for the other one. I learnt that to convert entire radicals to mixed radicals, i’d have to multiply inside the radicand. It is a little confusing to explain in words so here is an example.
If i want to convert √108 to a mixed radical,
√108 = √36 x 3 — I would find a number which can multiply into 108 that is square root
= √36 x √3 — I will separate it but it is still the same as √36 x 3
= 6 x √3 — i will find the square root of 36 which is 6 and multiply it by √3
= 6√3 — The answer is 6√3
To know if its the simplest form you have to make sure that the perfect square is the lowest perfect square it can be because or else it would not be the simplest form.
If i want to convert mixed radicals to entire radicals, i would need to bring the coefficient inside the radical number.
Ex. If i want to convert 3√14 to an entire radical,
3√14 = √3² x √14 — I would bring in 3 (coefficient) into the radical and square it
= √ 9 x 14 — therefore 3² = 9 so now we can multiply 9 x 14
= √126 — the entire radical of 3√14 is √126
I still think i need to improve in this area but i now understand how to do it and i think i have really improved since i first started
Week 1 – Math 10
I never knew what LCM (Least common multiple) was until not long ago when i found out what it is and how to do it. I get very confused with LCM and GCF (Greatest Common Factor) and i would get them both mixed up. LCM is the lowest multiple that the two numbers or more can multiply into together. For example, to determine the lowest common multiple of 10, 12 and 14, i would have to find the prime factors of each number, take all the prime factors of one of the numbers and multiply by any additional factors in the other numbers
10 = 2 x 5
12 = 2 x 2 x 3
14 = 2 x 7
Take 2 and 5 from 10
take 2 and 3 from 12
and 7 from 14
You then have to multiply then altogether and that will determine the LCM of 10, 12 and 14
2 x 5 x 2 x 3 x 7 = 420
The Least common multiple of 10, 12 and 14 is 420.
I used to get confused and multiply all the factors together but that is not the case, i have to multiply the prime factors