This course provides teachers with a comprehensive guide to the knowledge and techniques required to teach Mathematics Standard 11-12 Syllabus (2024). It covers all of the dot points of Networks, paths and trees.
The course goes into greater detail than the textbooks, so that teachers become more comfortable in their ability to deliver the content. All 41 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:
• 41 recorded examples
• A total of 20 quiz questions at the end of each lesson
• A 138 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 46 page exercise booklet with 41 optional practice questions matching the examples from the course, with fully worked solutions.
The Mathematics Standard 11-12 Syllabus (2024) will be covered in ten courses. The courses are:
Standard Course 1 - Year 11
Formulas and equations
Linear relationships
Standard Course 2 - Year 11
Earning money
Managing money
Standard Course 3 - Year 11
Applications of measurement
Time and location
Standard Course 4 - Year 11
Networks, paths and trees
Standard Course 5 - Year 11
Data analysis
Standard Course 6 - Year 12
STD1: Algebraic relationships
STD2: Algebraic relationships
Standard Course 7 - Year 12
STD1: Investment | Depreciation and loans
STD2: Investment and loans | Annuities
Standard Course 8 - Year 12
STD1: Right-angled triangles | Ratios and rates
STD2: Trigonometry | Ratios and rates
Standard Course 9 - Year 12
STD1: Bivariate data analysis | Relative frequency and probability
STD2: Bivariate data analysis | Relative frequency and probability | The normal distribution
Standard Course 10 - Year 12
STD1: N/A
STD2: Network flow & Critical path analysis
Mathematics teachers of any experience level who are preparing to teach the new Advanced syllabus.
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 information and introduction
Standard, Standard 1 and Standard 2
Content in Standard 1 versus Standard
2024 Syllabuses
Standard scopes and sequences
How is teaching Standard different?
General hints for student success in Standard
Summary of the content in this course
What has changed from the 2017 syllabus?
List of lessons
Lesson introduction
Introducing networks
Network diagrams
Travelling around a network
Out-of-syllabus content
Practice exercises
Lesson 1 Quiz
Lesson introduction
Constructing network diagrams from a table
FREE PREVIEWConstructing network diagrams using a worded description
Constructing network diagrams from a map or scale drawing
Investigating and solving practical problems
Practice Exercises
Lesson 2 Quiz
Lesson introduction
Trees and spanning trees
Minimum spanning trees
Practice exercises
Lesson 3 Quiz
Lesson introduction
Shortest paths
Practice exercises
Lesson 4 Quiz
Conclusion