Week 9 - Proportional Reasoning

Question 1

What is proportional reasoning?

Answer 1

The ability to understand comparative situations

Multiplicative thinking

Question 2

What is a ratio

Answer 2

Comparison of quantities of the same kind in a given order

Question 3

What do ratios describe

Answer 3

Part to part

Part to whole

Part to part to part

Whole to whole

Question 4

Why teach children about ratios

Answer 4

Relate to fractions

Help compare things

Question 5

Stages in development of proportional thinking

Answer 5

Direct comparison

Additive thinking

Multiplicative thinking

Symbolic representation

Question 6

What is proportion

Answer 6

The comparison to describe a related situation in the same comparative terms

Question 7

Direct proportions

Answer 7

I travel 100kms per hour, how far can I go in 5 hours?

Question 8

Indirect proportion

Answer 8

Inversely inproportion to each other

As a ballon rises, the air temperature drops by 50% every 100m. If the temperature at 100m is 24 degrees, what would it be at 200m.

As hight increases the temperature decreases.