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-A1 Formulae and Equations and MS-A2 Linear Relationships. 


 The course goes into greater detail than the textbooks, so that teachers become more comfortable in their ability to deliver the content. All 115 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:

•115 recorded examples

•A total of 65 quiz questions at the end of each lesson

•A 178 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 64 page exercise booklet with 115 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 (this course) 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 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 Algebra - STD#A

    • Overview of Year 11 Algebra

    • Relevant part of the Standard and Advanced syllabuses

    • Hints for success in Year 11 and Year 12 Algebra

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

    Part 4: Lessons

    • Overview of the lessons in this course
  • 6

    Lesson 1 - Substitution

    • Lesson Overview

    • Mathematical operations and calculator skills for Standard

    • The order of operations and Substitution

    • Evaluating the subject of the formula

    • New Syllabus Material

    • Practice exercises

    • Lesson 1 Quiz
  • 7

    Lesson 2 - Algebraic skills

    • Lesson Overview

    • Collecting like terms

    • Expanding

    • Algebraic Fractions

    • Practice exercises

    • Lesson 2 Quiz
  • 8

    Lesson 3 - Solving linear equations

    • Lesson Overview

    • Solving equations

    • One step – solving by inspection

    • Two step – guess and check versus solving ‘properly’

    • Expand and simplify

    • Pronumerals on both sides

    • One algebraic fraction equal to a numeral

    • Two algebraic fractions

    • Practice exercises

    • Lesson 3 Quiz
  • 9

    Lesson 4 - Distance, speed and time

    • Lesson Overview

    • Understanding speed

    • Distance, speed and time

    • Practice exercises

    • Lesson 4 Quiz
  • 10

    Lesson 5 - Stopping distances

    • Lesson Overview

    • Understanding Stopping Distance

    • Reaction distance

    • Braking distance

    • Stopping distance

    • New Syllabus Material

    • Practice exercises

    • Lesson 5 Quiz
  • 11

    Lesson 6 - Developing linear equations

    • Lesson Overview

    • Creating equations form worded descriptions

    • Creating equations from other mathematical concepts

    • Practice exercises

    • Lesson 6 Quiz
  • 12

    Lesson 7 - Changing the subject

    • Lesson Overview

    • Evaluating a term that is not the subject of the formula

    • Changing the Subject

    • Practice exercises

    • Lesson 7 Quiz
  • 13

    Lesson 8 - Blood alcohol content

    • Lesson Overview

    • Estimating blood alcohol content

    • Drop in BAC

    • New Syllabus Material

    • Practice exercises

    • Lesson 8 Quiz
  • 14

    Lesson 9 - Medication dosages

    • Lesson Overview

    • Fried’s formula

    • Young’s formula

    • Clark’s formula

    • Harder examples

    • Practice exercises

    • Lesson 9 Quiz
  • 15

    Lesson 10 - Linear relationships I

    • Lesson Overview

    • Recognising linear relationships

    • Gradient of a line

    • Gradient-intercept form of a line I

    • Graphing a line given two pieces of information

    • Practice exercises

    • Lesson 10 Quiz
  • 16

    Lesson 11 - Linear relationships II

    • Lesson Overview

    • Gradient-intercept form of a line II

    • Finding the intercepts or to points on a line

    • Graphing lines without hints

    • Application of gradient

    • Practice exercises

    • Lesson 11 Quiz
  • 17

    Lesson 12 - Linear modelling

    • Lesson Overview

    • Understanding linear relationships in worded questions

    • New Syllabus Material

    • Practice exercises

    • Lesson 12 Quiz
  • 18

    Lesson 13 - Direct variation and conversion graphs

    • Lesson Overview

    • Direct variation

    • Currency conversion graphs

    • Practice exercises

    • Lesson 13 Quiz
  • 19

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

    • Year 11 Algebra in the Standard 1 and Standard 2 HSCs
  • 20

    Part 6: Conclusion

    • Conclusion to STD#A

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