Geometry

We were learning about geometry and most specifically about transformation, Congruence, Similarity, and Right triangle & trigonometry. So we are using Khan Academy to help our guild through this topic because the in the textbook it doesn’t demonstrate and give examples much. For each level, we reach we got 4 points and there is 6 level which is mastering it but the teacher expected us to get to level 5 and we will have 20 points. However, if we have any questions we can screenshot it, and then we will go over it in class together. By doing this it allows us to go at our own pass and not rushing through to gets point but actually understanding it. Moreover, it gives students the opportunities to take more responsibility and show that they use their time wisely.  

Transformation

  • Rigid: maintain and produce congruent shape
    • Translation: vertical and horizontal shifts
    • Rotation: it’s rotate in a certain degree.

270 / -90 degree = x,y   y,-x

-270 / 90 degree = x,y  -y,x

180/-180 degree = x,y  -x,-y

  • Reflection: line of reflection and it’s a mirrored image

 

  • Dilation: It have the similar shape but different size and it’s scaleable and it’s angle is the same.

Congruence – equal size and shape

Similarity – same shape in term of ratio

Right triangle & trigonometry

Sin = Opposite over Hypotenuse

Cos = Adjacent over hypotenuse

Tan = Opposite over Adjacent

Law of sin = > sin (a) over a = sin (b) over b = sin (c) over c

  • If you have 2 angle and 1 length use it to find another length
  • If you have 1 angle and 2 length use it to find another angle

Law of cos

=> a² = b²+c² * – 2bc cos(o)

=> b² = a²+c² * – 2ac cos(o)

=> c² = a²+b² * – 2ab cos(o)

  • If you have 2 lengths and an angles use it to find another length
  • If you have 3 lengths use it to find an angles
  • a, b, c  representing the lengths

Math round 1 of 2018-2019

For this round we were working on SAT prep. So basically, we continued focus on SAT but this time in class we wrote down what we haven’t learn and within this year our teacher will teach us a few of those topic. This round we learn about imaginary number, complex number, functions and quadratic. For function and quadratic we learn and practice in Khan Academy algebra 1.

Imaginary number ⇒ i

i = √-1

i^2= -1  

i^3= -i

i^4= 1

Complex number ⇒ a +bi

a = real number

bi = real number times by imaginary number

Example: 5+2i

* imaginary function

a/bia/bi*bi/biai/b-ai/b

Example: 5/3i  ⇒ 5/3i  * 3i/3i ⇒ = – 15i/9

*multiplying by the conjugationa doesn’t have to be the same

a/(b + i )⇒ (a/(b + i)) × ((b – i) ÷ (b – i)) ⇒ (a – bi) ÷ (a – bi²)  (± a – bi) ÷ (b)

Example:

4 ÷ (9 + i) ⇒ (4 ÷ (9 + i)) × ((9 – i) ÷ (9 – i))  ⇒ ((36 – 7i) ÷ (81 – i²)) ⇒ ((36 – 7i) / 82)

SAT Bootcamp

At the Beginning of this school year, the 6th of August, we had an SAT Bootcamp. Most SAT Bootcamp would last about two months nevertheless we had tights schedule so we did it for two weeks. There are two mentors Kim, a recent Princeton grad in Computer Science and Amada, an ESL teacher from an all-girls school in New Jersey.

So during the day, we would have 2 hours of each class math, literacy and study hall time. In math class, we learn how to pick and use an equation efficiently. On the other hand, in literacy class, we work on reading and Writing and look through what type of questions are there. As usual every day we would get 10 to 5 pairs of mostly confused words and as homework, we need to write sentences that related to us individually.

Moreover, during the Bootcamp, we would get a lot of practice. Furthermore, we in the Bootcamp we took a test on khanacademy SAT at the beginning middle and end to see how much we grow and does all of the strategies that the mentor teach us helpful. The mentor doesn’t expect that use everything we learn for the khanacademy SAT test because there are too many rules to follow just step by step first. At the beginning of the test, I get the score of 930 then 940 and lastly 980. I feel like I didn’t improve much in these past two weeks but still, I have learned a lot from them. By joining this SAT Bootcamp it really helps me to become a better learner and uses resources all around me.