September 16
intro to year and unit
set up notebooks/binders (notes, returned work, blank paper)
groups and seating (interdependence groups for the unit)
functions vs relations
functions in table form
hw - KA “recognizing functions” (concept 1)
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17
warmup - from a table - is it a function?
function notation notes. What is a function? Function machines. how to plug into a function - what is input, output.
hw - KA understanding function notation (need to “add to dashboard” now) (concept 2)
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19
warmup - is it a function? & evaluating some functions
QUIZ - concepts 1 & 2
graphing functions - points as (x, f(x)), tables.
hw - KA Evaluating expressions with function notation. (concept 3 - graphs of functions)
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23
Warm up - find f(x) from graph + evaluate one
Set-builder notation as it applies to domain and range - lecture, examples, work problems from sullivan (need to make copies). Mainly, classwork should be translating into set builder notation.
HW - KA watch at least 3 videos at the bottom right of the Domain of a Function popup.
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24
Warmup - set builder notation problems
QUIZ - concepts 1-3
using set builder notation in domain and range of functions.
hw - KA Domain of a function. (concept 4)
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26
Warmup - domain and range in setbuilder + find function values from graph.
QUIZ - concepts 1-4
compositions of functions - examples and classwork.
hw - KA Evaluating composite functions (concept 5)
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30
warmup - composite functions & setbuilder
QUIZ - concepts 3-5
concept - function inverses. f(x) = 3x, g(x) = x/3, f(x) = x^2, g(x) = x^(1/2), etc.
practical - if f(x) = 2x - 1, then switch the names and x = 2f(x) -1; solve for f(x) to get inverse.
hw - KA inverses of functions (concept 6)
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October 1
warmup - find some inverses
QUIZ concepts 4-6
concept 7 - Even and Odd functions
HW - SULLIVAN identify even, odd functions. (concept 7)
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3
warmup - identify functions as even or odd & domain and range in setbuilder.
QUIZ concepts 5-7
concept 8 - linear equations in function notation.
practical - word problems & linear vs nonlinear in graphs, tables and equations.
HW - KA linear and nonlinear functions (concept 8)
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7
warmup - linear or nonlinear and composite functions
QUIZ concepts 6-8
concept 9 - Rates of Change - slope as rate of change and comparing them
hw - KA comparing linear functions & KA comparing linear functions applications
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8
warmup - linear functions rate of change comparison & even or odd functions
QUIZ concepts 7-9
concept 10 - solving radical equations - substitution if they need it.
hw - KA radical equations
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10
warmup - solving radical equations & linear/nonlinear equations
QUIZ concepts 8-10
concept 11 - Isolating a variable -
hw - KA Solving equations in terms of a variable
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The audio is too good to make this a gif. So, to be clear, this is the blog post for THURSDAY, 1/28. If you are looking for Tuesday's post, go back a post. I wanted to mention to you all that a mathematician and artificial intelligence researched named Marvin Minsky died on Sunday. Among lots of amazing things he did in his life, he wrote about math education for the OLPC (One Laptop Per Child) project. Here is that article ; I'd like you to read it for homework. Speaking of death, check out this amazing visualization ! Finally, for classwork, I would like you to go back to Tuesday's blog post, and comment on other people's homework. Specifically do you like the charts they chose? Are they interesting? Any feedback? Homework IMPORTANT: Pick which 5 (or more) variables that you will track for the Feltron project. Think about how you will keep track of them - pen and and notebook? The Reporter App? A pedometer? Also, that Marvin Minsky article is really...
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