Sunday, February 19, 2017

Letters in Mathematics: Why?

Hello Students!

For this week's online blog assignment, please respond to the question in the following comic strip:





Since we have been introduced to variables in mathematics, put yourself in the position of the teacher. How will you respond to this student's question? In 3-5 sentences, create a response you would give this student. Keep in mind why we use letters in mathematics as this could help you in creating your response.


Reminders:
  • Your response to this blog post AND another student in the class' post is due on SUNDAY, 02/26/2017 at 10pm ChST.
  • Be sure to respond to the prompt FIRST, then respond to the post of another student in the class.
  • Use any vocabulary terms that you've learned that could be relevant in your response
  • Be creative. I will give one extra credit point (added to this online blog assignment) if your response is creative and unique.



Have fun blogging! I can't wait to read your responses!

40 comments:

  1. x is an example of x can be equal to something in any numbers.letters can also be a variable to any number that it is given.we can also go to a store to buy something that can be a variable in mathematics.

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    1. Thank you for your response, Maggie. I agree that "x" can equal to something (a number) in an equation. Although your logic here is spot on, I am still quite puzzled with what exactly you're trying to convey to the student in the comic strip. Nonetheless, good response.

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  2. I think your have a great explanation, but i think it you need to make it more understandable.

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  3. The reason it can't be by itself is that x is a variable in this instance, so it's stuck to its number. If x was used in a different occasion it would just be x. Anyway, the reason why it has to equal something is because it's in a algebraic expression and not something else.

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    1. good job nathan for being a smart boy

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    2. Good thinking here, Nathan. Although I agree with your overall response, remember that "x" doesn't only appear in an algebraic expression as it could also appear in equations. Thank you for your participation in this week's online assignment.

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  4. X is a variable that can be any thing as a undiscovered number and can be seen the in world real. like in jobs and in maht equations. it could be a ton, gram, a person like bob " theier is 7 bobs".

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    1. Good explanation, Peka. I, too, agree that variables can be seen in such ways like you have stated above. Keep in mind your grammar when responding to the online prompts as you can confuse your peers with what you're trying to convey. Good work.

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  5. "X" can't just be "x" because it is equal to something. Why you may ask. Because "x" is an unknown value that is represented as a letter. So "x" can be any value like maybe 4,500. If there was no variables then the coefficient won't have a variable to be multiplied with. Variables such as "X" can b found in algebraic expressions.

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    1. Great explanation Maritoni.

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    2. Awesome Explanation Maritoni:)

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    3. I read your response as if a teacher were saying it. Awesome explanation, Maritoni! I agree with your response in general, however, keep in mind that variables can also be found in equations. As in the comic strip above, "x" was used in an equation. Nonetheless, excellent work!

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  6. "X" can't just be "X" because its an unknown value.

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    1. Thank you for your response, Mayvian. Thank you for defining what letters are in mathematics (they're called variables). I like your response, however, it lacks reasoning. This explanation lacks sufficient information for the student in the comic strip to understand the concept of letters in mathematics. Please try and find a way to convey the concept to the student as you write your response.

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  7. x is an unknown value. That can be represented by a letter. so x can be any value.x can be found in algebraic expressions and other letters can be located in algibra

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    1. Great response here, Alex! Note that "x" (or variables) can be found not just in algebraic expressions but equations as well. Good job!

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  8. I would tell the student that x can't be x because x is a variable. A variable is supposed to represent something. X can represent any number because it can't be by itself as it would be useless.

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    1. Great explanation Juan!

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    2. I like your thinking here, Juan! It is definitely true that a variable is supposed to represent something (an unknown value). Thank you for pointing out that "x" cannot be by itself for otherwise it would be useless to have in mathematics. Excellent work!

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  9. "X" cannot just be "X" because "X" is a variable, and a variable is any letter or symbol that represents an unknown number. The variable can then be discovered if there is a question that follows saying "Solve for X". "X" cannot just be "X" because if "X" is just "X", it cannot work because numbers cannot be combined with a letter or symbol unless "X" just represents an unknown number.

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    1. I absolutely agree with you, Mariechrist. Indeed, if "x" is just "x," it cannot work as it would need to represent something. Just think about it. We're dealing with mathematics here, and doesn't mathematics ultimately deal with numbers? If this is so, then letters in mathematics would just be representations of unknown values that make mathematics more abstract for us to study. Excellent reasoning here!

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  10. x is a variable and next to coefficent. it is supposed to be representing something like a missing number or the object of what the word problem is asking for.

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    1. Great response here, Daviann. Although your reasoning is spot on, remember that variables in mathematics need not only be found in word problems. Word problems help us make sense of the value of variables but they ultimately come from algebraic expressions and equations. Good job!

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  11. X can't be just x because X is a variable with a number. X can value to a constant such as 10 or 15. This can be shown in a algebraic expressions or in the future.

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    1. Thank you for your response, Manding. I like how you paid close attention to the idea behind variables and their use in mathematics. As I have stated in other students' posts, remember that variables are not just found in algebraic expressions but equations as well. Good work!

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  12. "X" can't just be "X" because according to the dictionary, "X" is a variable and a variable is a letter that represents an unknown number. Without variables, it would be useless trying to look for the unknown number or solving for it. In addition, "X" can be anything, not only numbers, that's why it's called a VARIABLE it represents various things.

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    1. Thank your making a dictionary reference for the word "variable," Rosabelle! I am most impressed with how you presented the idea of variables representing "various things." This is a great way to respond to the student's question in the comic strip. Excellent response!

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  13. This is Rosabelle. bsurla is under my account just to let you guys know because my gmail doesn't work on my laptop.

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  14. X cannot be just x because it's a variable. A variable is an alphabetic character representing a unknown number. These letters are also used to represent these changing, unknown quantities. Variables can be shown in algebraic expressions and equations.

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    1. I am very impressed with your response, Erin! I have never seen anyone put variables into perspective the way you just did in your post here. "These letters are also used to represent these changing, unknown quantities." This is by far one of the most unique responses I've read this week. Bravo!

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  15. X always have equal to something because if it didn't the equation woudldn't make sense. A variable is a quantity that can change in a math problem, that's why they use X to represent that. If X didn't equal to something then what's the point of the X being there.

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    1. I definitely agree with you here, Patreisha! If we put this concept into perspective, if mathematics ultimately deals with numbers, why have letters (or variables)? This is a great way of providing leading questions (a common teaching strategy) to increase higher-order thinking skills. Excellent work here!

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