Lesson02 03 Function Zoo Public
of 22
Transcript of Lesson02 03 Function Zoo Public
-
8/2/2019 Lesson02 03 Function Zoo Public
1/22
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
Terms of Use:For educational purposes only.
Creative Commons By Attribution, Share Alike(Give credit, share what you do with this. You may derive your own work from this resource)
Some images are copyright and thus only usable in a fair use education context.
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 -
8/2/2019 Lesson02 03 Function Zoo Public
2/22
Making sense of the animal kingdom
-
8/2/2019 Lesson02 03 Function Zoo Public
3/22
-
8/2/2019 Lesson02 03 Function Zoo Public
4/22
-
8/2/2019 Lesson02 03 Function Zoo Public
5/22
-
8/2/2019 Lesson02 03 Function Zoo Public
6/22
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
-
8/2/2019 Lesson02 03 Function Zoo Public
7/22
Did you find these?
-
8/2/2019 Lesson02 03 Function Zoo Public
8/22
At first these look different:
later we see the connections.
At first these look different:
later we see the connections.
-
8/2/2019 Lesson02 03 Function Zoo Public
9/22
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.
-
8/2/2019 Lesson02 03 Function Zoo Public
10/22
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.
-
8/2/2019 Lesson02 03 Function Zoo Public
11/22
15 minutes
Make a neat collection of sketches of
the functions in your function zoo.
-
8/2/2019 Lesson02 03 Function Zoo Public
12/22
15 minutes
-
8/2/2019 Lesson02 03 Function Zoo Public
13/22
Linear Functions
-
8/2/2019 Lesson02 03 Function Zoo Public
14/22
What does LINEARactually mean?
Think-Pair-Share : 5 minutes
Can you explain withoutwriting an equation?
-
8/2/2019 Lesson02 03 Function Zoo Public
15/22
x y change
2 5
3 7 +2
4 9 +25 11 +2
6 13 +2
-
8/2/2019 Lesson02 03 Function Zoo Public
16/22
Linear Functions and Relations
= +
+ + = 0
Gradient form
General (or standard) form
Why do we need thegeneral form?
Is the general formalways a function?
-
8/2/2019 Lesson02 03 Function Zoo Public
17/22
+ + = 0
What happens to the graph when
= 0 ? = 0 ? = 0 ?
On your own: 5 minutes
-
8/2/2019 Lesson02 03 Function Zoo Public
18/22
Special Lines
= Horizontal = Vertical
+ + = 0 when = 0 or = 0
-
8/2/2019 Lesson02 03 Function Zoo Public
19/22
Special Lines
+ + = 0 when = 0
Passes through the origin (0,0)
-
8/2/2019 Lesson02 03 Function Zoo Public
20/22
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.
-
8/2/2019 Lesson02 03 Function Zoo Public
21/22
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
-
8/2/2019 Lesson02 03 Function Zoo Public
22/22
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
