Using â??Quotientâ? as a representation for fractions, how would you introduce the four operation including 1) addition, 2) subtraction, 3) multiplication, and 4) division? Introduce a word problem for each operation then describe how quotient as a representation for operations is used. Also in detail, describe how you will teach each operation to elementary students so they can easily understand.
I would first explain that problems related to solving fractions have four levels of difficulty/understanding.
The first level is to understand an "all case" approach that works with any fraction.
The second level requires recognition of fractions that can use a short cut method which requires that the student applies the concept of factors.
The third level requires reducing the final answer to simplest form, which also requires the application of factors.
The fourth level involves solving problems of mixed numbers.
Then, I would return to level one and give the following explanation:
For addition, use the pattern:
a/b + c/d = a*d/b*d + b*c/b*d. I would show the pattern with arrows pointing to the numbers in the first expression and how those ...
Learning operations on fractions is a key mathematics skill for elementary students. This posting explains a concise strategy to teach the operations of addition, subtraction, multiplication and division for students just beginning with this topic. The posting is written for the teacher who is looking for a strategy to teach this topic.