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• Rod surfaces • • •
Gary is estimating the total area of Cuisenaire rods. ~:t.I.HI1'~
He checks his estimates by drawing nets of the rods
on 1 cm squared paper. PAGE 41
This is what he wrote for the green rod.
Challenge
length of edges
[]] List the rods in ascending order
of their areas. white rod 12 em
Your list might start like this.
Hexominoes all have the same area, but can they have different perimeters? red rod 16em
Use squared paper to find out. Interlocking tiles might help you. light green rod 20 em
Try to make sure your hexominoes are different. pink rod 24 em
Not like these.
yellow rod 28 em
dark green rod 32 em
@] Write about any patterns you have found.
black rod 36 em
tan rod 40em
CHALLENGE
blue rod 44 em
Investigate the total length of the edges
of each rod. Show what you do to find out. orange rod 48em
Write about any patterns you find.
The total length of the
edges increases by
4 em each time.
rn 00 ~
Practical: finding different hexominoes (there are 35). Practical: drawing Total area The surface areas
Not all have the same perimeter; for example, this nets of Cuisenaire white rod 6sq cm increase by 4 sq em
hexomino has a perimeter of 10 cm. rods on 1 cm red rod 10sq em each time.
squared paper, light green rod 14sq cm
estimating and pink rod 18sq em
calculating the yellow rod 22sq em
Recording findings. surface area of dark green rod 26sq em
each rod. black rod 30sq em
tan rod 34sq em
blue rod 38sq em
orange rod 42sq em