Ratios and rates Ratio Rate Scale Scale Drawing Fraction Equivalent Solve Problem Receive Distance...

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Transcript of Ratios and rates Ratio Rate Scale Scale Drawing Fraction Equivalent Solve Problem Receive Distance...

Ratios and rates

Ratio

Rate

Scale

Scale Drawing

Fraction

Equivalent

Solve

Problem

Receive

Distance

Floor plan

This topic has 11 key words:

Ratio

Definition: A ratio compares numbers in a set order.

Example: The ratio of men to women in the green box is 3:1.

The ratio of women to

men in the green box

is 1:3.

Rate

Definition: Rates compare things that are measured differently.

Example: A woman walks 5km (distance) in 1 hour (time).

This is written 5km / h.

Scale

Definition: Scale is a ratio of the size of something compared to the size of something else.

Example: This toy car is 4cm long. The real car is 400cm long. The scale is 4:400.

This is the same as

1:100.

Scale DrawingDefinition: A drawing where all parts are a certain amount smaller than the real thing.

Example: In this drawing of a horse, all parts of the drawing are 10 times smaller than the real horse.

Fraction

Definition: A part of a whole.

Example: The whole pizza below has 4 slices.

Someone has taken 1 slice.

Three slices are left on the plate.

The fraction of the whole pizza

that is on the plate is ¾.

Equivalent

Definition: The same as something else.

Example: The ratio of circle A that is shaded is 1:2. The ratio of circle B that is shaded is 2:4.

1:2 is equivalent to 2:4.

Circle A Circle B

Solve

Definition: To find out something new.

Example: Solve the equation to find y.

2 + y = 3.

-2 -2

y = 1

We solved this equation and found that y = 1.

Problem

Definition: Something that we need to find an answer for.

Example: 2 cans of coke cost $2. How much does one can of coke cost?

This is a problem. Can you find the answer?

$2 ?

Receive

Definition: To get something.

Example: Bob will receive $100 for the work he is doing in the garden.

Distance

Definition: How far it is from one point to another.

Example: The distance

from Sydney to Brisbane

is about 1000km.

Floor Plan

Definition: A drawing of a building of the floor of a building which is done to scale.

Example: This floor plan shows a house with three bedrooms.