Equation of a parabola

Communicating & Representing on Parabola

My equation:

Graph of my parabola:

A value:

A value determines the width of the parabola. If the a value is bigger than 1, the parabola will become narrow. And when a is bigger than 0 but smaller than 1, the parabola will become wide. If a is smaller than 0, the parabola will face down.

H value:

H value determines whether the parabola shifts left or right. If the h value is negative, the parabola will shift to the right horizontally. If h value is positive, the parabola will shift to the left.

K value:

k value determines whether the parabola shifts up or down. If k value is positive, the parabola will shift up and if the k value is negative, the parabola will shift down.

Differences:

In my equation, my a value is -2, h value is -6 and my k value is -5. According to my a value, my parabola face down and become narrow because it is bigger than one but is negative while the original parabola faces upwards as a is positive. My h value moves the parabola left and right so since the h value is 6, the parabola shifted 6 places to the left while the original parabola doesn’t have a h value so it hasn’t shifted. The k value of my parabola moved the graph 5 spaces down from the origin of the graphing plane while the original parabola remains at the origin as it doesn’t have a k value.

Self-Assessment:

1. Give an example from this assignment where you represented the same mathematical idea in three different ways? (for example, as a graph, an equation and in words)

I represented the same mathematical idea in graph, an equation and in words. Both three of them are able to let me find out the values of the parabola. And can help me solve this questions in different ways.

2. Give an example from this assignment where you used mathematical vocabulary to demonstrate your understanding.

A lots of vocabulary are used to demonstrate my understanding such as: parabola, face up/ down, shift left/ right, narrow/ wide. These vocabulary can make me seems to understand this chapter better and makes me look more professional.

3. Give an example from this assignment where you used formatting to share the information in a clear and organized way.

I had use two colours to highlight the difference between my parabola and the original parabola to make it more easy to distinguish. Also I have listed out how the values can change the parabola in a clear and organized way.

Button Dichotomous Key

During the button dichotomous activity, I improved my communication competency. I can ask and respond to questions to be an active, supportive listener. We need to classify different kind of buttons into different branches to recognize each different button, during the process my teammates and I need to have a close discussion to get the same opinion, we respect and listen to each other’s opinions. Also I can understand and share information about a topic of interest in a clear, organized way. In discussions and conversations, I help to build and extend understanding by naming for different buttons, different names can help us to classify that specific button by knowing what are their feature.

The War Between the classes CC

The Novel

About the book

“The war between the classes” is a book written by Gloria Miklowitz, telling a story which happened in a social studies class. All of the students got to experience great social experience that even changed many of the characters. We spent the first 20 minutes of the class to read the novel for two weeks then we started to do some test, class write and project for the novel. 

Core Competency Reflection

Communicating 

I can understand and share information about a topic of interest in a clear, organized way. In the novel study class write, we are asked to provide lots of our own ideas and reflections. During the writing, I learned how to share my ideas mixed with the example on the novel in a clear way. 

Critical and Reflective Thinking

I can reflect on my thinking. In the novel project, I chose to do a journal for one of the main character and I need to stand in his position and go through those changes with him. That made me have a chance to reflect on my thinking too. 

Creative Thinking

I can form new ideas to create new things. I can also build on the ideas of others. As I said I chose to do a journal for one main character, I am asked for discover more of his inner thoughts, that give me a chance to understand Adam and create more scenes that are out of the book. 

Personal Awareness and Responsibility

I can work to inform myself about issues surrounding me. The main idea of this novel is to share the idea that ‘We should not have prejudice to others, we are all the same.’ I have learned a lot from this novel with the issues that are surrounding this society and me. 

Goal :

 I can identify my strengths and identify my potential.
I haven’t discovered any aspects of myself that are better than others, and I haven’t felt that I have the ability and potential.  I hope one day I can discover what makes me different

The War Between the classes CC

The Novel

About the book

“The war between the classes” is a book written by Gloria Miklowitz, telling a story which happened in a social studies class. All of the students got to experience great social experience that even changed many of the characters. We spent the first 20 minutes of the class to read the novel for two weeks then we started to do some test, class write and project for the novel. 

Core Competency Reflection

Communicating 

I can understand and share information about a topic of interest in a clear, organized way. In the novel study class write, we are asked to provide lots of our own ideas and reflections. During the writing, I learned how to share my ideas mixed with the example on the novel in a clear way. 

Critical and Reflective Thinking

I can reflect on my thinking. In the novel project, I chose to do a journal for one of the main character and I need to stand in his position and go through those changes with him. That made me have a chance to reflect on my thinking too. 

Creative Thinking

I can form new ideas to create new things. I can also build on the ideas of others. As I said I chose to do a journal for one main character, I am asked for discover more of his inner thoughts, that give me a chance to understand Adam and create more scenes that are out of the book. 

Personal Awareness and Responsibility

I can work to inform myself about issues surrounding me. The main idea of this novel is to share the idea that ‘We should not have prejudice to others, we are all the same.’ I have learned a lot from this novel with the issues that are surrounding this society and me. 

Goal :

 I can identify my strengths and identify my potential.
I haven’t discovered any aspects of myself that are better than others, and I haven’t felt that I have the ability and potential.  I hope one day I can discover what makes me different