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different geometry approaches
You can explore a geometry problem
in different ways
There’s more than one way to investigate a geometry problem,
and the choice of which one to go for is often about how your
own brain works rather than one being “better.”
1
Use your BRAIN
Your brain is amazing. Even
before you started to learn about
geometry, your brain could
already recognize symmetry
and special angles. But don’t
just think, use your imagination,
too. What if this shape was really
BIG? What if you turned it
upside down?
IMAGINE what
would happen if.…
2
Use a PENCIL and PAPER
Sketches can help you think, but an
accurate drawing can also show you
whether something is possible or impossible.
Add a ruler for
more accurate
drawings.
Gr
id pap
er giv
es y
ou
a head s
tart.
Think about the
RULES in your
GEOMETRY
TOOLBOX.
Use LOGIC to PROVE
something works or
doesn’t work.
116 Chapter 3
3
Geometry isn’t just an
idea—you can T
OUCH
it, too!
you test out stuf
f as
if it was in the REAL
WORLD.
the pythagorean theorem
Use the REAL WORLD
Geometry isn’t just important for your grades,
it’s what engineers and scientists rely on to make
buildings stand up and cars go around corners.
Use kids’ toys, a scrap piece of wood, or make
models out of cardboard to put your theories to
the test.
Use a COMPUTER MODEL
4
If you’ve ever played a video or computer
game then you’ve already used a computer
model of some geometry.
Whether the model is simple, or complex
(like a racing game), the great thing is that
you get to change something and then see
what impact your change makes.
A computer model lets
So—what’s your preference? Do you think it matters which
exploration technique you use to find the jumps you can build?
you are here 4 117

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