*Correctly, multiplying numbers when multiplication is not justified is wrong.*

*Correctly, multiplying numbers when multiplication is not justified is wrong.*

This will increase instructional time for these problems.

If students go on automatic pilot, while setting up these tables, they will sometimes do it when it is not valid.

Now, lets convert back: It is absurd that a high school biology teacher had not learned how to change centimeters to meters; -- unless he too, had been taught by the rule for idiots: "move the decimal two places", in which case, it is predictable. Similarly, 2.365 dollars and 2.365 can be converted to 236.5 cents and 236.5%, resp. "Ratio" and "Proportion" basically, mean that we can set up tables, (as in the previous problems) and then it is valid to multiply or divide a line by a number. Jack and Jill went up the hill to pick apples and pears.

The new 1999 California Standards require that students learn this in Grade 4. Jack picked 10 apples 15 pears and Jill picked 20 apples and some pears.

not watered down) HS Geometry text (10th grade)": Remark.

## Themes For Creative Writing - How To Solve Proportion Word Problems

Students should have mastered these in elementary school. Students will need to be told that "2 1/2 blocks per minutes" means "2 1/2 blocks each minute".

("Right Teacher, Wrong Class", Washington Post, February 15, 1999)This instruction (above) to "move the decimal two places" is what I call an "Avoid-thinking-by-excessive-memorization-of-overly-specialized-procedures" method of mis-education. That students forget much, over the summer, is a good excuse for the next grade's book to be largely a copy of this grade's.

It is popular with traditional textbooks because it is an easy way to teach. Similarly, 236.5 (236 and a half) cents and 236.5% can be converted to 2.365 dollars and 2.365, resp.

The ratio of apples to pears picked by both Jack and Jill were the same. Solution Jack 10 15 Jill 20 30 Thus, Jill picked 30 pears.

Let's redo this problem with less nice numbers: Problem 10.

## Comments How To Solve Proportion Word Problems

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