Welcome to Prime thinkers WERE GOING TO BE

TALKING ABOUT SHAPES

http://econtent.thelearningfederation.edu.au/ec/viewing/L2314/index.html

Bloom's Taxonomy

HOW CAN WE PROVE IT ?

Reviewing prior knowledge from Grade 8 (The Australian Curriculum)From Digital Resource: http://www.youtube.com/watch?v=TPL12Tk7L6U&feature=related

People say the Statue of Liberty’s nose is out of proportion. If her arm is 1300cm long, how long should her nose be?

The actual length of the nose is about140.20cm

Scale factor = 𝑆𝑐𝑎𝑙𝑒𝐴𝑐𝑡𝑢𝑎𝑙

Length of nose of statue of Liberty = length of typical nose (Length of arm of the Statue of liberty Length of typical arm )

= 4(130060 ) = 4 x 21.66 = 86.66cm is the length of the nose of the statue of liberty.

Compare the ratio of the statue of liberty with your measurements.

𝐴𝑐𝑡𝑢𝑎𝑙 𝑛𝑜𝑠𝑒𝐴𝑐𝑡𝑢𝑎𝑙 𝑎𝑟𝑚 : 𝑆𝑡𝑎𝑡𝑢𝑒 𝑜𝑓 𝑙𝑖𝑏𝑒𝑟𝑡 𝑦′ 𝑠 𝑛𝑜𝑠𝑒𝑆𝑡𝑎𝑡𝑢𝑒 𝑜𝑓 𝐿𝑖𝑏𝑒𝑟𝑡 𝑦′ 𝑠 𝑎𝑟𝑚

460 = 115 : 86.661300 = 115

• Scale factor =

• Expressing a scale factor as:• Decimal• Fraction• Percentage• Ratio

From digital resource: http://www.youtube.com/watch?v=wQRs7zBQmww

Lesson 9-5: Similar Solids 8

8

18

4

6

Corresponding ratios are not equal, so the figures are not similar.

Are these solids similar?

Solution:8 2:4 1

18 3:6 1

radius

height

Example:

Lesson 9-5: Similar Solids 9

16

12

8

612

9

All corresponding ratios are equal, so the figures are similar

16 4:12 38 4:6 312 4:9 3

length

width

height

Are these solids similar?

Example:

Solution:

Side length scaled down by a factor of:

Volume scaled down by a factor of:

From digital resource: http://www.slideboom.com/presentations/53232/Surface-Area-and-Volume-of-Similar-Solids

A can( cylinder) has a height equal to its diameter. One can has a height of 5 cm and the other a height of 12cm. How many cans of water from the smaller can are needed to fill the larger can?