Reply To: Lesson 6-4: Types of Ratios – Discussion

[marianne aamodt]

Milk costs $4.50 for 4 L. What is the unit price?

COST | Litres

$4.50 X 1/4 | 4 X 1/4

|

$1.13 | 1

Ratio as a quotient:

$4.50 divided by 4 L of milk

Ratio as a rate:

Milk is $1.13 per litre of milk

I have to get used to thinking of multiplying by a fraction instead of dividing. I’m curious as to why this is easier for kids. Don’t they still have to think about division to “do the math”?

I am interested in moving farther and seeing how to do this algebraically. I’ve always found the input/output “machines” (table of values) that are found in MMS texts starting about gr. 4 (?) to be very confusing – not only for kids! I wonder: how does this turn into graphing linear relations? Looking forward to finding out!

• This reply was modified 2 years, 6 months ago by  marianne aamodt. Reason: formatting of chart did not work when posted

[marianne aamodt]

Milk costs $4.50 for 4 L. What is the unit price?

COST | Litres

$4.50 X 1/4 | 4 X 1/4

|

$1.13 | 1

Ratio as a quotient:

$4.50 divided by 4 L of milk

Ratio as a rate:

Milk is $1.13 per litre of milk

I have to get used to thinking of multiplying by a fraction instead of dividing. I’m curious as to why this is easier for kids. Don’t they still have to think about division to “do the math”?

I am interested in moving farther and seeing how to do this algebraically. I’ve always found the input/output “machines” (table of values) that are found in MMS texts starting about gr. 4 (?) to be very confusing – not only for kids! I wonder: how does this turn into graphing linear relations? Looking forward to finding out!

• This reply was modified 2 years, 6 months ago by  marianne aamodt. Reason: formatting of chart did not work when posted