Physics Core Competency

COMMUNICATION & COLLABORATION

While solving problems the teacher assigns I often work with my peers to help them understand and share ideas collaboratively. We work on the whiteboards to easily show our thinking and ideas and to help us communicate efficiently. When someone doesn’t understand and is having some trouble, other people are there to help talk them through the problems. When I don’t understand a question I will collaborate and communicate with my peers to help me gain the knowledge and understanding that I need to help me finish the question and future questions assigned.

Graphing Parabolas

A parabola is a curved line on a graph that uses the equation y=x2 or y=a(x-h)2+k

My parabola equation is: y=3(x-4)2+2

https://www.desmos.com/calculator

The red line is the standard form and equation for a parabola.

The blue line is my parabola and equation.

How does each letter in the equation affect the parabola? 

In the equation y=a(x-h)2 each letter has its own role

What does A do? 

A in this equation tells us what way the parabola will open. It will either open upwards or downwards. When the value of A is less than zero (a < 0) the graph of the parabola will open downwards. When the A value is greater than 1 (a > 1) it will open Upwards, and it will be narrow. If A is greater than 0 but less than 1 (0<A<1) it will be wider. 

In my equation y=3(x-4)2+2, the A value is 3. 3 is greater than 0 so my parabola will open upwards and will be narrower

What does H do? 

The H in this equation determines how far left or right the vertex (the point where the parabola begins to open) of my parabola will move from 0,0 on the graph

 Be careful though, if the H has – in front of it the vertex will move to the right because the number would be positive. If the H value is a negative, that – will turn into a + and the vertex will shift to the left

In my parabola equation the H value is 4 so my vertex will shift 4 to the right from 0,0.  

What does K do? 

The K in the equation determines how far up or down the vertex moves

If the value of K is a positive number, the vertex will move up. If the K value is a negative the vertex will move down. 

The K value in my equation is 2 so the vertex will move 2 up from 0,0 on the graph. 

Finding the vertex and putting everything together... 

The h and K values will tell you exactly where on your graph the vertex of your parabola is. They are points on the graph. The H is the X value, and the K is the Y value. The vertex of my graph is 4,2. If we look at the A value too, we can tell that my graph will be narrower, and it will open upwards. 

My equation is different from the standard one because the vertex has moved over 4 and up 2, and it is narrower than the standard parabola equation. 

Self Assesment

I represented a mathematical equation by having a screen shot of a graph, having formulas for a standard parabola and my parabola and by explaining in my own words what each component of the equations meant.

I used mathematical vocabulary through out this assignment. I mostly used it when I was explaining what each part of the equation did.

I used coloured headings and I had made some words bold to clearly identify what I was talking about and important key words that should be noted.

Identity

My Poem

Core Competency Reflection

What goals have you met that you are proud of?

My goal for this assignment was to hand in something that I put my time and effort in to make sure this was my best work. I feel I worked hard on this and I am very satisfied with the results. Another goal was to use the rubric and exceed in the criteria.

How do you show that you are listening thoughtfully? In what ways does your listening contribute to your understanding?

I show that I’m listening by finishing my work the way the teacher explained. I pay attention when the teacher is explaining the assignment. I take the information and apply it to what we are working on. I then show the teacher that I’ve listened with the work I hand in.

How do you learn best?

I learn best when the teacher writes or shows what we are working on. I find that when the teachers hand out instructions or write them on the board I understand the assignments better. With this assignment my teacher handed out sheets explaining what to do and I found it easy to apply it to my work.

How have you improved this year in English?

I’ve improved my getting a better sense of identity. We are learning a lot about our own identity as well as the identity of the first nations. I’m getting a better understanding of who i am and who the first nations people are.