Course Description

This course covers every dot point from MA-E1 Logarithms and Exponentials and MA-S1 Probability and Discrete Probability Distributions in the new NSW Year 11 Mathematics Advanced syllabus.

The course goes into greater detail than the textbooks, so teachers are more comfortable in their ability to deliver the content. All 206 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. As more detail on the syllabus is released by NESA any changes required will be made. Also included are related skills that are beyond the syllabus that you can use to extend more capable students.

Each lesson includes a section for Extension Students, that covers work that can help them develop skills and techniques that helps prepare them for content they will cover in the Extension 1 or Extension 2 courses.

The course includes:

  •  206 recorded examples

  • 327 page course handout 

  • 206 optional practice questions matching the examples from the course

  • 86 mixed questions, all with fully worked solutions.

The remainder of the Year 11 Advanced syllabus is covered in four other courses:

ADV#1 and ADV#2 cover MA-F1 Working with Functions.

ADV#3 covers MA-T1 Trigonometry and Measure of Angles and MA-T2 Trigonometric Functions and Identities 

ADV#4 covers MA-C1 Introduction to Differentiation 

Audience

Mathematics teachers of any experience level who are preparing to teach the new Advanced syllabus.


This Course:

Exponentials, Logarithms, Probability and Statistics - ADV#5

  $349 + GST (Teacher)
$1250 + GST (School)

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Complete Subject:

Year 11 Advanced (5 courses)

  $990 + GST (Teacher)
$2990 + GST (School)

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Do you teach in NSW? If so, this is relevant to you:

Completing Year 11 Advanced Mathematics: Exponentials Logarithms Probability - ADV#5 will contribute 10 hours of NSW Education Standards Education Authority (NESA) Accredited PD in the priority area of Delivery and Assessment of NSW Curriculum/Early Years Learning Framework, addressing standard descriptors 2.1.2 from the Australia Professional Standards for Teachers towards maintaining Proficient Teacher Accreditation in NSW.

 

Course curriculum

  • 1

    Introduction

    • Course Administration

    • Introduction to the Mathematics Advanced Year 11 In Depth Series

    • Introduction to ADV#5

  • 2

    Exponentials and Logarithms

    • Introduction to Exponentials and Logarithms

    • Relevant Parts of the Syllabus

  • 3

    Lesson 1 Introduction to Logarithms

    • Lesson Overview

    • Indices, roots and logarithms

    • Index and Logarithm forms

    • Evaluating Logarithms

    • Exponentials and Logarithms as Inverse Operations

    • Extension Students

    • Practice Exercises

    • ADV#5 Exp & Log Lesson 1 Quiz

  • 4

    Lesson 2 Logarithm Laws

    • Lesson Overview

    • Logarithm Laws

    • Solving Logarithmic Equations using Logarithm Laws

    • Extension Students

    • Practice Exercises

    • ADV#5 Exp & Log Lesson 2 Quiz

  • 5

    Lesson 3 Further Logarithm Laws

    • Lesson Overview

    • Further Logarithm Laws

    • Change of Base Formula

    • Solving exponential equations

    • Extension Students

    • Practice Exercises

    • ADV#5 Exp & Log Lesson 3 Quiz

  • 6

    Lesson 4 Euler’s Number 𝑒 and differentiating with 𝑒^𝑥

    • Lesson Overview

    • Evaluating expressions involving 𝑒 with a calculator

    • Differentiating Exponential Functions

    • Applications of Exponential Growth and Decay

    • Extension Students

    • Practice Exercises

    • ADV#5 Exp & Log Lesson 4 Quiz

  • 7

    Lesson 5 Natural Logarithms

    • Lesson Overview

    • Natural Logarithms

    • Rewriting expressions in Index or Logarithm form

    • Solving Exponential Equations

    • Applying Logarithm Laws with Natural Logarithms

    • Solving Exponential and Logarithmic Equations involving base 𝑒

    • Applications

    • Extension Students

    • Practice Exercises

    • ADV#5 Exp & Log Lesson 5 Quiz

  • 8

    Lesson 6 Graphing Exponential and Logarithmic Functions

    • Lesson Overview

    • Graphing Exponential Curves

    • Graphing Logarithmic Curves

    • Harder Exponential and Logarithmic Curves

    • Extension Students

    • Practice Exercises

    • ADV#5 Exp & Log Lesson 6 Quiz

  • 9

    Lesson 7 Applications and Logarithmic Scales

    • Lesson Overview

    • Practical Applications

    • Logarithmic Scales

    • The Richter Scale

    • The pH Scale

    • The Decibel Scale

    • Extension Students

    • Practice Exercises

    • ADV#5 Exp & Log Lesson 7 Quiz

  • 10

    Questions from the HSC

    • Advanced Year 11 Exponentials and Logarithms in the HSC Exams

  • 11

    Appendix 1: Mixed Revision Exercises (Exponentials and Logarithms)

    • Mixed Revision

  • 12

    Probability and Statistics

    • Introduction to Probability and Statistics

    • Relevant Parts of the Syllabus

  • 13

    Lesson 1 Theoretical and Experimental Probability

    • Lesson Overview

    • Probability and Statistics

    • Theoretical Probability

    • Experimental Probability

    • Extension Students

    • Practice Exercises

    • ADV#5 Prob & Stats Lesson 1 Quiz

  • 14

    Lesson 2 Sets and Venn Diagrams

    • Lesson Overview

    • Sets

    • Venn Diagrams

    • Two Way Tables

    • Applications

    • Extension Students

    • Practice Exercises

    • ADV#5 Prob & Stats Lesson 2 Quiz

  • 15

    Lesson 3 Simple Multi-stage Events

    • Lesson Overview

    • Multiple Events With Replacement

    • Multiple Events Without Replacement

    • The Complement of an Event

    • Miscellaneous Examples

    • Extension Students

    • Practice Exercises

    • ADV#5 Prob & Stats Lesson 3 Quiz

  • 16

    Lesson 4 Tree Diagrams and Arrays

    • Lesson Overview

    • Tree Diagrams and Probability Trees

    • Arrays

    • Extension Students

    • Practice Exercises

    • ADV#5 Prob & Stats Lesson 4 Quiz

  • 17

    Lesson 5 Conditional Probability

    • Lesson Overview

    • Conditional Probability

    • Dependent and Independent Events

    • Extension Students

    • Practice Exercises

    • ADV#5 Prob & Stats Lesson 5 Quiz

  • 18

    Lesson 6 Statistical Variables & Probability Distributions

    • Lesson Overview

    • Discrete v Continuous Variables

    • Statistical Variables

    • Probability Distribution Functions

    • Extension Students

    • Practice Exercises

    • ADV#5 Prob & Stats Lesson 6 Quiz

  • 19

    Lesson 7 Mean and Expected Value

    • Lesson Overview

    • Mean of a Distribution

    • Expected Value

    • Extension Students

    • Practice Exercises

    • ADV#5 Prob & Stats Lesson 7 Quiz

  • 20

    Lesson 8 Variance and Standard Deviation

    • Lesson Overview

    • Variance and Standard Deviation of a Distribution

    • Understanding Variance and Standard Deviation

    • Sample versus Population Standard Deviations

    • Variance and Standard Deviation of a Probability Distribution Function

    • Extension Students

    • Practice Exercises

    • ADV#5 Prob & Stats Lesson 8 Quiz

  • 21

    Questions from the HSC

    • Advanced Year 11 Probability and Statistics in the HSC Exams

  • 22

    Appendix 2: Mixed Revision Exercises (Probability and Statistics)

    • Mixed Revision

  • 23

    Conclusion

    • Highlights of Exponentials, Logarithms, Probability and Statistics

    • Conclusion to ADV#5

  • 24

    Course feedback

    • Please take a few minutes to give us your feedback

Presenter

Steve Howard

Steve Howard

Steve Howard has inspired and equipped hundreds of Maths teachers with his In-Depth Senior Mathematics courses, providing all the tips, examples and resources to teach the HSC syllabus with confidence. He loves to discover the most efficient techniques for solving mathematical problems, by analysing other experts' solutions or by developing his own approaches when he finds a better way. As a student, Steve did Unit 4 Mathematics, gaining a mark of 198/200, before training as an actuary. After retraining as a teacher, Steve has taught Maths at Cowra High School, NSW, for 28 years. He has also taught gifted and talented students online through Xsel and Aurora College, and developed all student course material for TTA's Year 12 Extension Maths Portal.

Other Courses by Steve Howard

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