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-S1 Data Analysis and MS-S2 Relative Frequency and Probability . 


 The course goes into greater detail than the textbooks, so that teachers become more comfortable in their ability to deliver the content. All 98 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:

•98 recorded examples

•A total of 60 quiz questions at the end of each lesson

•A 207 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 52 page exercise booklet with 98 optional practice questions matching the examples from the course, with fully worked solutions.


The Year 11 Mathematics Standard 2017 syllabus is covered in four courses with 444 recorded examples, 260 quiz questions, 816 pages of course handouts, and 444 exercise questions. The courses are:

•STD#A Year 11 Algebra covers MS-A1 Formulae and Equations and MS-A2 Linear Relationships

•STD#B Year 11 Measurement covers MS-M1 Applications of Measurement and MS-M2 Working with Time.

•STD#C Year 11 Financial Mathematics covers MS-F1 Money Matters

•STD#D Year 11 Statistics and Probability (this course) covers MS-S1 Data Analysis and MS-S2 Relative Frequency and Probability 


The Year 12 Mathematics Standard 2017 will be covered in five courses to be released during 2025.


Audience

This course is suitable for teachers with any level of previous experience.


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 11 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 11 Statistics - STD#D

    • Overview of Year 11 Algebra

    • Relevant part of the Standard and Advanced syllabuses

    • Hints for success in Year 11 and Year 12 Statistics

    • How will Year 11 Statistics change in the new syllabus?
  • 5

    Part 4: Lessons

    • Overview of the lessons in this course
  • 6

    Lesson 1 - Population and samples

    • Lesson Overview

    • Probability and Statistics

    • Organising the teaching of Statistics

    • Populations and samples

    • Surveying methods

    • Capture-recapture sampling

    • Practice Exercises

    • Lesson 1 Quiz
  • 7

    Lesson 2 - Classifying data

    • Lesson Overview

    • Classifying Variables

    • Why does the classification of variables matter?

    • Practice Exercises

    • Lesson 2 Quiz
  • 8

    Lesson 3 - Tables and graphs

    • Lesson Overview

    • Tables and graphs

    • Pareto charts

    • Suitability of Different Displays

    • Practice Exercises

    • Lesson 3 Quiz
  • 9

    Lesson 4 - Measures of central tendency

    • Lesson Overview

    • Summary statistics

    • Measures of central tendency

    • Practice Exercises

    • Lesson 4 Quiz
  • 10

    Lesson 5 - Modality and shape

    • Lesson Overview

    • Summary statistics

    • Modality

    • Shape

    • Practice Exercises

    • Lesson 5 Quiz
  • 11

    Lesson 6 - Measures of spread

    • Lesson Overview

    • Measures of spread

    • New Syllabus material

    • Practice Exercises

    • Lesson 6 Quiz
  • 12

    Lesson 7 - Box-plots and outliers

    • Lesson Overview

    • Box-plots (box-and-whisker plots)

    • Outliers

    • Practice Exercises

    • Lesson 7 Quiz
  • 13

    Lesson 8 - Summarising and interpreting

    • Lesson Overview

    • Summarising and Interpreting

    • Parallel box-plots

    • Appropriate and inappropriate use of measures of centre and spread

    • Practice Exercises

    • Lesson 8 Quiz
  • 14

    Lesson 9 - Basic probability

    • Lesson Overview

    • Probability

    • Theoretical Probability

    • Practice Exercises

    • Lesson 9 Quiz
  • 15

    Lesson 10 - Relative frequency

    • Lesson Overview

    • Experimental probability and relative frequency

    • Simulations

    • Practice Exercises

    • Lesson 10 Quiz
  • 16

    Lesson 11 - Simple multi-stage experiments

    • Lesson Overview

    • Multi-stage experiments

    • The complement of a multi-stage event

    • Miscellaneous multi-stage experiments

    • Practice Exercises

    • Lesson 11 Quiz
  • 17

    Lesson 12 - Tree diagrams and arrays

    • Lesson Overview

    • Tree diagrams and probability trees

    • Arrays

    • Practice Exercises

    • Lesson 12 Quiz
  • 18

    Part 5: Review of Year 11 Statistics in the Standard HSC exams

    • Year 11 Statistics in the Standard 1 and Standard 2 HSCs
  • 19

    Part 6: Conclusion

    • Conclusion to STD#D
  • 20

    Appendix: Variance and standard deviation

    • Variance and standard deviation

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