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Learning Brief Week 06 Specialist Mathematics Term 1 UNIT 3 2017 By the end of this unit, students will: Goals ã ã

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Week 06 Term 1
201
Theoretical
Components
Mathspace Lessons:
Absolute Value Functions:
ã
https://goo.gl/tGFyqT
ã
https://goo.gl/T9DsVs
ã
https://goo.gl/dtz8hX
ã
Graphs of Rational Functions:
ã
https://goo.gl/rNDccd
ã
https://goo.gl/AoFAA2
ã
Additional readings available on Google Classroom WK06 folder. Watch the following videos:
ã
Absolute Value Functions: https://goo.gl/1WgrJw
ã
Graphs of Rational Functions:
https://goo.gl/n3zBRk https://goo.gl/Gw4qIi https://goo.gl/RuW2S7
Practical
Components
Check Google Classroom WK05 folder:
ã
WK06 Mathspace __ Domain and Range of Absolute Value Functions Questions
ã
WK06 Mathspace __ Solutions to Absolute Value Functions Questions
ã
WK06Mathspace __ Graphing Absolute Value Functions Questions
ã
WK06Mathspace __ Graphing Hyperbolas Questions
ã
WK06Mathspace __ Graphing Rational Functions Questions Attempt at least 6 questions from each of the listed exercises.
See the next page. 5 marks
Q/F/O
Quiz/Forum/Other
Mathspace Quiz: to be completed by 12
th
March.
By the end of this unit, students will:
ã
understand the concepts and techniques in vectors, complex numbers, functions and graph sketching
ã
apply reasoning skills and solve problems in vectors, complex numbers, functions and graph sketching
ã
communicate their arguments and strategies when solving problems
ã
construct proofs of results
ã
interpret mathematical information and ascertain the reasonableness of their solutions to problems.
This week:
Sketching graphs:
ã
use and apply the notation
|x|
for the absolute value for the real number
x
and the graph of
y = |x|
ã
examine the relationship between the graph of
y = f(x)
and the graphs of
y =
1f
(
x
)
,
y = |f (x)|
and
y = f(|x|)
ã
sketch the graphs of simple rational functions where the numerator and denominator are polynomials of low degree.
Goals
Learning Brief
Specialist Mathematics UNIT 3
Show working or justify with reasoning. A: State the equations of f(x) and g(x): 2 marks B: Find a rational function g(x) that has the graph shown: 3 marks

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