lesson02 03 function zoo public
TRANSCRIPT
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The Function Zoo
04 Functions and GraphsLessons 2 & 3
The concept of The Function Zoo: organising functions in groups of functions.
10 Can describe, explain and draw graphs of linear functions.
Linear Functions
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Please credit exzuberant.blogspot.com if you use this idea outside of class.
The original Function Zoo concept from Mary Barnes Investigating Change
http://www.curriculumpress.edu.au/main/goproduct/13056
exzuberant.blogspot.com
http://www.curriculumpress.edu.au/main/goproduct/13056http://www.curriculumpress.edu.au/main/goproduct/13056 -
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Making sense of the animal kingdom
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Can you sketch 8 (or more) different function families?
Draw some variations of each function type show how they vary.
(hint: use )
Organise the function families in a way that makes sense to you.
Group work: 20 minutes
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Did you find these?
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At first these look different:
later we see the connections.
At first these look different:
later we see the connections.
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Our goal for Terms 1 & 2
Getting to know and recognise the different families.
Understanding how they behave and how to work with them.
Can transform between close relatives
What is the connectionbetween these 4 graphs?
What is the connectionbetween these 3 graphs?
Different functions, but sametype of transformation
happening.
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Looking ahead
Extension 2 and beyond .
At first these look different:
later we see the connections.
At first these look different:
later we see the connections.
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15 minutes
Make a neat collection of sketches of
the functions in your function zoo.
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15 minutes
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Linear Functions
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What does LINEARactually mean?
Think-Pair-Share : 5 minutes
Can you explain withoutwriting an equation?
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x y change
2 5
3 7 +2
4 9 +25 11 +2
6 13 +2
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Linear Functions and Relations
= +
+ + = 0
Gradient form
General (or standard) form
Why do we need thegeneral form?
Is the general formalways a function?
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+ + = 0
What happens to the graph when
= 0 ? = 0 ? = 0 ?
On your own: 5 minutes
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Special Lines
= Horizontal = Vertical
+ + = 0 when = 0 or = 0
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Special Lines
+ + = 0 when = 0
Passes through the origin (0,0)
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Construct a dynamic GeoGebra application to explore = +
What do you expect to happen when you change the value ?
What do you expect to happen when you change the value ?
Pair work: 15 minutes
Find out how to switch between gradient form and general form
Learn how to create sliders
Save your GeoGebra file you will use it again later.
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Cambridge 2G Q1-2 Do each question (by hand) in your book.
Check your work in .
Extension: Add a slider to your GeoGebra construction to explore the
behaviour of = + .
20 minutes
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The Function Zoo
04 Functions and GraphsLessons 2 & 3
Cambridge 2F
Cambridge 2G Q1-2
From Period 1
The concept of The Function Zoo: organising functions in groups of functions.
10 Can describe, explain and draw graphs of linear functions.
Linear Functions
Linear Functions