Learning about Equivalent Fractions Pt. 1[Dface]

Project Summary:

Learn about equivalent fractions by analyzing the following site’s first paragraph:

Use Cf methods to learn more and improve at philosophy

Goal:

Goals I might be interested in while reading the paragraph:

Potential goals
  • Talk about the format of the paragraph like how it’s structured
  • Talk about what each sentence does for the learner or reader
  • Analyze each sentence by either asking questions, relating/connecting a concept from there to something i know, compare my explanations with the author’s, or talking about what word or phrase means.
  • Make examples for each sentence of an idea so I can understand it better and so i can check my understanding
  • Try finding decisive arguments to practice its format

Goals:

  • Analyze each sentence by either asking questions, relating/connecting concepts, compare my explanations with the author’s, or talking about the meaning of a phrase or word.
  • Talk about what each sentence does for the learner or reader
  • Try finding decisive arguments in my writing to practice its format

Success criteria (& optional failure criteria):

  • Explain what an equivalent fraction is. Find errors in my explanation.
  • Talk about new things I learned
  • Probably correct something I knew from the past

Big picture goal, why you want to do this, or CF relevance:

Learn about fractions as a CF prerequisite and improve at the philosophy.

Plan:

Read each sentence and analyze.

Context: (optional – fill out or delete the context section):

Listening to music in the background

Each sentence should take me about 5 mins to do. So since there’s five sentences it should all take me about 25 mins to do. Some sentences are more dense and others less so.

Started at 7:57pm

Here’s the article’s first paragraph:

Equivalent fractions are fractions that represent the same value, even though they look different. For example, if you have a cake, cut it into two equal pieces, and eat one of them, you will have eaten half the cake. If you cut a cake into eight equal pieces and eat four of them, you will still have eaten half the cake. These are equivalent fractions. This section explains equivalent fractions in more detail.

Here’s the first sentence:

Equivalent fractions are fractions that represent the same value, even though they look different.

So equivalent fractions look different but have the same value? What’s different about them then? I think you can use wholes to represent equivalent fractions like 3x/3x is equivalent to 1/1.

Also, equivalent fractions represent the same value. That means that if you find the quotient in two equivalent fractions, you’ll get the same answer

The purpose of the sentence is to explain how equivalent fractions may look and that they’re the value. It lets the reader know that just cuz two fractions look different, it doesn’t mean that they won’t equal the same thing.

For example, if you have a cake, cut it into two equal pieces, and eat one of them, you will have eaten half the cake.

So you have a cake and you split it into two equal pieces. You have a whole fraction there. But since you ate one piece, you ate half the cake. I don’t think I see how this explains equivalent fractions? I think each half of the cake is represented by 1/2. Since there’s two and were split into equal pieces they’re equivalent fractions.

If you cut a cake into eight equal pieces and eat four of them, you will still have eaten half the cake.

You have a whole cake and the cake was cut in eighths. Because you ate 4/8 of the cake you still ate half. I see that this quote is connected with the last quote to show that 1/2 and 4/8 of the cake are equivalent fractions. When you simplify the fraction 4/8, you’ll get 1/2.

These are equivalent fractions.

“These” means the fractions 4/8 and 1/2. The sentence is pointing out the equivalent fractions in the example.

This section explains equivalent fractions in more detail.

According to the quote above, there’s details to learn about equivalent fractions and that’s probably where the video and downloadable document are for.

Retrospect of reply:

This reply took me about 25 mins. Proof reading took about 5 mins and writing everything down took about 20 mins. I had to go eat and do something. I should use a stop watch or something