Download Addendum 1

Measurement & Geometry
Pythagoras
 Represent whole numbers as products of powers of prime numbers
ACMNA150 – 7
 Investigate and use square roots of perfect square numbers
ACMNA151 – 7
 Investigate the concept of irrational numbers
ACMNA186 - 8
 Understand that Pythagoras’ Theorem is a useful tool in determining unknown lengths in right
angled triangles and has widespread applications
ACMMG222 - 9
 Recognising that right-angled triangle calculations may generate results that can be integers,
fractions or irrational numbers
ACMNA222 - 9
Course Outline
Week
Activity:
Evaluation
Week 1
Mathletics
Product of Prime Factors
S.F.I.
Rational Thinking (Calculator based activity)
Score /5
Score /10
Can you draw a square that has an area of 20cm2?
S.F.I.
Irrational Thoughts (Calculator based activity)
Use the prime factorisation of a number to help express
numbers in their Surd form.
Score /10
Mathletics
Simplifying Surds
Score / 5
Worksheet
Simplifying Surds
Score /10
S.F.I.
Introducing Pythagoras (Calculator based activity)
Score /10
Matching square areas on triangles.
Notes
Pythagoras’ Theorem
Proof of Pythagoras (paper fold) + Examples
Ex 3.1
Pythagoras’ Theorem
Q’s: 3 & 5
Organisation
Mathematics
Mathletics
Using Similar Triangles
Score / 5
Mathletics
Pythagorean Triads
Score / 5
Ex 3.2
Squares, square roots, surds and approximations
Week 2
Q’s: 1, 2, 6 - 8
Ex 3.3
Finding the hypotenuse of a right angled triangle
Q’s: 1 – 9, 11
Organisation
Mathematics
Organisation
Mathematics
Mathletics
Pythagoras’ Theorem
Score / 5
e-Test1
Progressive Revision – Surds & Pythagoras
Score /10
Ex 3.4
Finding the shorter side of a right angled triangle
Q’s: 1 – 6
Assignment
Perimeter of Australia
Ex 3.5
Applications of Pythagoras’ Theorem
Organisation
Mathematics
Score /25
Week 3
Q’s: 1 – 12
1
| Year 9 Mathematics – Number & Algebra
Organisation
Mathematics
Pts
Pg
Week
Activity:
Evaluation
e-Test2
Progressive Revision – Pythagoras’ Theorem
Revision
Chapter Review
Pg
Score /10
Organisation
Q’s: 4 - 17
Week 3
Pts
Mathematics
(Continued)
Notes
Preparation of notes for Test
Score /10
Test
Pythagoras’ Theorem
(Calculator and Notes permitted)
Score /100
Self Evaluation Guidelines
Organisation: ( Score out of 3 )
 Exercise Title & Indexed;
 Questions numbered;
 Legible & Neat writing/working
 Page ruled & dated;
 Follow up questions highlighted.
Mathematics: ( Score out of 7)
 Working set out correctly;
 Correct mathematical notation
 Questions completed;
 Answers written in meaningful
manner;
 Answers checked & correct.
Work Set Out Example:
a b  c
2
2
Notation Examples:
 Approximate answers use
2  1.414
approximately equals sign
 Working down the page
2
 Equals (=) aligned
32  x 2  52
 All steps logical
9  x  25
2
x2
 The squared notation is a
‘superscript’ and should be
clearly written this way.
5cm2
 It is the units that are squared for
area not the value, also use cm
not cms, plural is not required for
units.
 Variable maintained
x 2  16
Mathletics: (Score out of 5)
 Score provided by Mathletics;
 Exercises can be repeated as
many times as required to
obtain the highest score
possible.
x  16
x4
Satisfactory Completion
A total of 280 points exist for this unit. To achieve a satisfactory result for the unit, a minimum score of 140 points
must be obtained. Colour in the chart below to monitor your progress.
120
Unsatisfactory
2
140
160
Satisfactory
| Year 9 Mathematics – Number & Algebra
180
Credit
200
220
Distinction
240
260
High Distinction
280