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-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).

The course goes into greater detail than the textbooks, so that teachers become more comfortable in their ability to deliver the content. All 148 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:

•148 recorded examples

•A total of 70 quiz questions at the end of each lesson

•A 244 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.

•An 83 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  (this course) 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)

•STD#I Year 12 Networks covers MS-N1 Networks and Paths (Standard 1) and MS-N2 Network Concepts and MS-N3 Critical Path Analysis (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 Measurement - STD#F

    • Overview of Year 12 Measurement

    • Relevant part of the Standard and Advanced syllabuses

    • Hints for success in Year 11 and Year 12 Measurement

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

    Part 4: Lessons

    • Overview of the lessons in this course
  • 6

    Lesson 1 - Pythagoras theorem and basic trigonometry

    • Lesson Overview

    • Right-angled triangles

    • Naming the sides of a right-angled triangle

    • Trigonometric ratios

    • Degrees, minutes and seconds

    • Using the calculator for trigonometry

    • Practice exercises

    • Lesson 1 Quiz
  • 7

    Lesson 2 - Finding unknown sides and angles using trigonometry

    • Lesson Overview

    • Finding unknown sides or angles

    • Finding an unknown side or angle then finding another quantity

    • Practice exercises

    • Lesson 2 Quiz
  • 8

    Lesson 3 - Bearings with right-angled triangles and angles of elevation and depression

    • Lesson Overview

    • Applications of right-angled trigonometry in 2D

    • Angles of elevation and depression

    • Bearings with right-angled triangles

    • Practice exercises

    • Lesson 3 Quiz
  • 9

    Lesson 4 - Obtuse angles and the cosine rule (STD 2 only)

    • Lesson Overview

    • Non-right-angled triangles

    • The sign of sine and cosine of obtuse angles

    • Cosine rule

    • Using the cosine rule to find an unknown side or angle

    • Practice exercises

    • Lesson 4 Quiz
  • 10

    Lesson 5 - The sine rule (STD 2 only)

    • Lesson Overview

    • Sine rule

    • Finding unknown sides with the sine rule

    • Finding unknown angles with the sine rule

    • Practice exercises

    • Lesson 5 Quiz
  • 11

    Lesson 6 - Area of non-right-angled triangles (STD 2 only)

    • Lesson Overview

    • Finding the area of non-right-angled triangles

    • Using the area to find a side or angle

    • Harder applications

    • Using the sine or cosine rule then the area formula

    • Harder applications II

    • Practice exercises

    • Lesson 6 Quiz
  • 12

    Lesson 7 - Bearings with non-right-angled triangles and compass radial surveys (STD 2 only)

    • Lesson Overview

    • Bearings with non-right-angled triangles

    • Compass radial surveys

    • Practice exercises

    • Lesson 7 Quiz
  • 13

    Lesson 8 - Working with rates

    • Lesson Overview

    • Simplifying rates

    • Converting rates

    • Finding unknown quantities using rates

    • Best buys

    • Using rates to determine costs

    • Practice exercises

    • Lesson 8 Quiz
  • 14

    Lesson 9 - Speed, distance-time graphs and fuel consumption

    • Lesson Overview

    • Revising work on speed, distance and time from Year 11

    • Distance-time graphs (travel graphs)

    • Fuel consumption

    • Practice exercises

    • Lesson 9 Quiz
  • 15

    Lesson 10 - Heart rates and blood pressure

    • Lesson Overview

    • Heart rates

    • Blood pressure [Standard 1 only]

    • Practice exercises

    • Lesson 10 Quiz
  • 16

    Lesson 11 - Rates and electricity

    • Lesson Overview

    • What is included in the different Standard 1 and 2 syllabuses?

    • Energy rating

    • Local council requirements for energy-efficient housing

    • Practice exercises

    • Lesson 11 Quiz
  • 17

    Lesson 12 - Working with ratios

    • Lesson Overview

    • Ratios, rates and fractions

    • Simplifying ratios

    • Map scales

    • Dividing a quantity in a given ratio

    • Using ratios to find unknown quantities

    • Capture-recapture [careful as it is mentioned in Year 11 so could be in Standard 1 as well]

    • Practice exercises

    • Lesson 12 Quiz
  • 18

    Lesson 13 - Similar figures (STD1 only)

    • Lesson Overview

    • Similar triangles and similar figures [Standard 1 only]

    • Practice exercises

    • Lesson 13 Quiz
  • 19

    Lesson 14 - Scale drawings

    • Lesson Overview

    • What is included in the different Standard 1 and 2 syllabuses?

    • Reading and using building plans

    • Using diagrams to find quantities

    • Perimeter, area and volume using scale drawings

    • Practice exercises

    • Lesson 14 Quiz
  • 20

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

    • Year 12 Algebra in the Standard 1 and Standard 2 HSCs
  • 21

    Part 6: Feedback and Conclusion

    • Conclusion to STD#F

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