Course Description

This course provides teachers with a comprehensive guide to the knowledge and techniques required to teach the NSW Mathematics Standard 2017 syllabus. It covers every dot point of MS-N1 Networks and Paths (Standard 1) and MS-N2 Network Concepts and MS-N3 Critical Path Analysis (Standard 2).

The course goes into greater detail than the textbooks, so that teachers become more comfortable in their ability to deliver the content. All 95 examples have been recorded, so that you can watch an experienced maths teacher talk through the examples and any important points to note. 


New and existing content is explored in detail, including interesting and more efficient techniques that experienced teachers may not have seen before. Important points to be covered with students are noted, and the limits of the syllabus are discussed. 


The course includes: 

•95 recorded examples 

•A total of 45 quiz questions at the end of each lesson 

•A 273 page course handout in two formats – one with blank space for you to complete the examples and a second with completed solutions to the examples. 

•A 132 page exercise booklet with 95 optional practice questions matching the examples from the course, with fully worked solutions. The Year 12 Mathematics Standard 2017 syllabus is covered in five courses. 


The courses are: 

•STD#E Year 12 Algebra covers MS-A3 Types of Relationships (Standard 1) and MS-A4 Types of Relationships (Standard 2) 

•STD#F Year 12 Measurement covers MS-M3 Right-angled Triangles, MS-M4 Rates and MS-M5 Scale Drawings (Standard 1) and MS-M6 Non-right-angled Trigonometry and MS-M7 Rates and Ratios(Standard 2) 

•STD#G Year 12 Financial Mathematics covers MS-F2 Investment and MS-F3 Depreciation and Loans (Standard 1) and MS-F4 Investments and Loans and MS-F5 Annuities (Standard 2) 

•STD#H Year 12 Statistics and Probability covers MS-S3 Further Statistical Analysis (Standard 1) and MS-S4 Bivariate Data Analysis and MS-S5 The Normal Distribution (Standard 2) 

Audience

Mathematics teachers of any experience level who are preparing to teach the new Advanced syllabus.


Teaching Standards

2.1.2 Proficient Level - Know the content and how to teach it - Content and teaching strategies of the teaching area:  Apply knowledge of the content and teaching strategies of the teaching area to develop engaging teaching activities

Course curriculum

  • 1

    Course administration

    • Course information
  • 2

    Part 1: Introduction to the Standard Year 12 In Depth Series

    • Information about the Year 11 and Year 12 series

    • Standard, Standard ◊, Standard 1 and Standard 2

    • Standard 2 and Advanced - Common content
  • 3

    Part 2: How is teaching Standard different?

    • General advice for teaching Standard

    • Hints for student success in Standard
  • 4

    Part 3: Introduction to Year 12 Networks - STD#I

    • Overview of Year 12 Networks

    • Relevant part of the Standard and Advanced syllabuses

    • Hints for success in Year 11 and Year 12 Networks

    • How will Year 12 Networks change in the new syllabus?
  • 5

    Part 4: Lessons

    • Overview of the lessons in this course
  • 6

    Lesson 1 - Introduction to Networks

    • Lesson Overview

    • Road maps – a familiar network

    • What are Networks and why are they useful?

    • Network diagrams

    • Degree of a vertex

    • Different ways of drawing the same network

    • Types of Edges

    • Travelling around a Network

    • Out-of-syllabus content

    • Practice Exercises

    • Lesson 1 Quiz
  • 7

    Lesson 2 - Constructing Network Diagrams

    • Lesson Overview

    • Constructing network diagrams from a table

    • Constructing network diagrams using a worded description

    • Constructing network diagrams from a map or scale drawing

    • Investigating and solving practical problems [Standard 2 only]

    • Practice Exercises

    • Lesson 2 Quiz
  • 8

    Lesson 3 - Minimum Spanning Trees

    • Lesson Overview

    • Paths versus trees

    • Trees

    • Spanning trees

    • Minimum spanning trees

    • Minimal connector problems [Standard 2 only]

    • Practice Exercises

    • Lesson 3 Quiz
  • 9

    Lesson 4 - Shortest Paths

    • Lesson Overview

    • Shortest paths

    • Practice Exercises

    • Lesson 4 Quiz
  • 10

    Lesson 5 - Introduction to Critical Path Analysis

    • Lesson Overview

    • Critical path analysis

    • Network diagrams for critical path analysis

    • Activity tables

    • 2024 Syllabus Material - Dummy activities

    • Practice Exercises

    • Lesson 5 Quiz
  • 11

    Lesson 6 - Forward scanning and earliest completion time

    • Lesson Overview

    • Forward scanning and the earliest start time (EST)

    • Adding ESTs to network diagrams

    • 2024 Syllabus Material – ESTs with dummy activities

    • Practice Exercises

    • Lesson 6 Quiz
  • 12

    Lesson 7 - Backward scanning, float time and the critical path

    • Lesson Overview

    • Backward scanning, the latest start time (LST), float time and the critical path

    • 2024 Syllabus Material – LSTs, float times and critical paths with dummy activities

    • Practice Exercises

    • Lesson 7 Quiz
  • 13

    Lesson 8 - Gantt charts and spreadsheets (2024 syllabus)

    • Lesson Overview

    • 2024 Syllabus Material - Gantt charts

    • 2024 Syllabus Material - Spreadsheets

    • Practice Exercises

    • Lesson 8 Quiz
  • 14

    Lesson 9 - Network Flow

    • Lesson Overview

    • Bottlenecks

    • Network flow

    • Maximum-flow minimum-cut theorem

    • 2024 Syllabus Material – Saturated edges method

    • Practice Exercises

    • Lesson 9 Quiz
  • 15

    Part 5: Review of Year 12 Networks in the Standard HSC exams

    • Year 12 Networks in the Standard 1 and Standard 2 HSCs
  • 16

    Part 6: Feedback and Conclusion

    • Conclusion to STD#I

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