Activity Set #3: Shape, number, proportion, symmetry, definiteness and system

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Think/Pair/Share

•Why can we be more sure of a shape than color? What is it about an octagon that we can be definite about?
glossary entrees/ words to discuss meaning:
shape
shade
dimension (as in modes of description)
proportion
number
symmetry
system
whole and part
"whole/part relation"
continuous
discrete
function
domain
range
indepedent variable
dependent variable
certainty
uncertainty
(somehow we introduced "multiplication by squeegy" in this discussion as well after groups mentioned area)

start notebook reference page on: variables and functions

glossary entrees/ words to discuss meaning:
x,y variables
input
output
rule
amibiguity**, vertical line test
verbal directions
look up table
algebraic expression
parameter(operational definitions - peanut butter and jelly sandwich activity, somehow this for the student really clarified their concept of function.)
Think/Pair/Share

•What are all the symmetries of a square?

glossary entrees/ words to discuss meaning:
symmetry*
reflection, mirror
rotation (2-fold, 4-fold etc.)
inversion

Start notebook reference page on:symmetry


Small group whiteboarding task w/ student led discussion circle:

•It is possible to think of an octagon (or triangle) as a "system", i.e. a set of parts and relations between those parts that all together make up our understanding of what is represented by the phrase "an octagon." List all the parts and relations between the parts that make up your conception of "an octagon". Characterize the parts in terms of dimension, (0,1, 2 etc). Characterize the relations in terms of type, (additive or subtractive, multiplicative or proportion, equality or symmetry)

glossary entrees/ words to discuss meaning:
system*
quantitative (additive) relation
proportional (multiplicative) relation**