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-A3 Types of Relationships (Standard 1) and MS-A4 Types of Relationships (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: 

•78 recorded examples 

•A total of 35 quiz questions at the end of each lesson 

•A 161 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 100 page exercise booklet with 78 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 Algebra - STD#E

    • Overview of Year 12 Algebra

    • Relevant part of the Standard and Advanced syllabuses

    • Hints for success in Year 11 and Year 12 Algebra

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

    Part 4: Lessons

    • Overview of the lessons in this course
  • 6

    Lesson 1 - Simultaneous equations I – solved graphically without equations

    • Lesson Overview

    • Simultaneous Equations

    • Point of intersection or the break-even point

    • Practice Exercises

    • Lesson 1 Quiz
  • 7

    Lesson 2 - Simultaneous equations II – solved graphically using equations

    • Lesson Overview

    • Finding the gradient, vertical intercept and equation of a line

    • Developing simultaneous equations from descriptions

    • Graphing a line given its equation

    • Combining skills

    • Finding an equation for profit (optional)

    • Practice Exercises

    • Lesson 2 Quiz
  • 8

    Lesson 3 - Simultaneous equations III – solved algebraically [2024]

    • Lesson Overview

    • Substitution Method

    • Elimination Method

    • Abbreviated working (optional)

    • Practice Exercises

    • Lesson 3 Quiz
  • 9

    Lesson 4 - Graphs from a description and Linear versus non-linear [STD1]

    • Lesson Overview

    • Sketching the depth of water in a container against time

    • Graphs of other practical situations

    • Linear and non-linear graphs

    • Practice Exercises

    • Lesson 4 Quiz
  • 10

    Lesson 5 - Exponential models [STD2]

    • Lesson Overview

    • Exponential modelling in Standard 2

    • Exponential curves

    • Equations and graphs of exponential growth or decay

    • Graphing exponential curves

    • Sketching exponential curves

    • Working with exponential equations

    • Use guess and check to find the value of the base

    • Practice Exercises

    • Lesson 5 Quiz
  • 11

    Lesson 6 - Quadratic models (Parabolas) [STD2]

    • Lesson Overview

    • Quadratic modelling (parabolas) in Standard 2

    • The parabola

    • Graphing parabolas

    • Finding the vertex

    • Recognising simple parabolas

    • Practice Exercises

    • Lesson 6 Quiz
  • 12

    Lesson 7 - Reciprocal models (Hyperbolas) [STD2]

    • Lesson Overview

    • Reciprocal modelling (hyperbolas) in Standard 2

    • Inverse Variation from basic principles

    • Sketching hyperbolas

    • Graphing hyperbolas

    • Creating an equation linking the two variables

    • Practice Exercises

    • Lesson 7 Quiz
  • 13

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

    • Year 12 Algebra in the Standard 1 and Standard 2 HSCs
  • 14

    Part 6: Feedback and Conclusion

    • Conclusion to STD#E

Features of TTA Online PD

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