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Contents
- Whole Topic Notes
- 14A Drawing Exponential Graphs
- 14B Euler’s Number ‘e’
- 14C Modelling with e
- 14D Introducing Logarithms
- 14E Laws of Logs
- 14F Solving Equations With Logs
- 14G ln, The ‘Natural Log’
- 14H Exponentials in Data
- Whole Topic Summary Resources (Including Past Paper Questions)
Whole Topic Notes
Download Full Topic Slides
- Textbook Notes as PPTs (Courtesy of Owen134866)
Full Notes to Accompany Slides
Dr Frost
- Dr Frost Exponentials & Logarithms Section
- Dr Frost Exponentials & Logarithms Slides
- Blank Notes to Follow Slides Word Doc or PDF (Courtesy of King’s Chester Maths Department)
Acute Learning Whole Chapter Problem Pairs
Other Nice Whole Topic Resources
- Khan Academy Logarithms Section and Exponential Models
- Student Activities on Introducing Logarithms – Project Maths
14A Drawing Exponential Graphs
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Dr Frost Video
- Topic Video (Up to 2:21)
Bicen Maths Live Lesson
Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
Extra Questions
- Dr Frost Questions (Very Short, Mainly Transformations)
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
Exponentials & Logarithms Key Skills Section (for selecting more than one)
Other resources
Corbettmaths
3Blue1Brown Covid 19 Exponential Graph created March 2020
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Activities
- Berwick Maths Diagnostic Questions
- thechalkface Exponential Growth Graph
- thechalkface Logarithms Intro Good Starter Activity from Exponentials to Needing Logs. Could be Introduced at 14D
Worksheets
- kutasoftware Drawing Exponentials
14B Euler’s Number ‘e’
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Dr Frost Video
- Topic Video (2:21 to 11:40) (Sketching only)
Bicen Maths Live Lesson
Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
Extra resources
Extra Questions
- Dr Frost Questions (Short)
Key Skills
- No Key Skills Yet
Other resources
Other Videos & Multimedia
Courtesy of Numberphile (see extension activity in 14F after introducing logs)
14C Modelling with e
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Dr Frost Video
- Topic Video (From 11:40) (Sketching only)
Bicen Maths Live Lesson
Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
Topic Tests
Extra Questions
Key Skills
- No Key Skills Yet
Further Practice
Other resources
14D Introducing Logarithms
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Dr Frost Video
- Topic Video (up to 7:07)
- Topic Video (for Sketching logs up to 4:56)
Bicen Maths Live Lesson
Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
Extra resources
Topic Tests
- Standard Test (Mainly Sketching Graphs, Q2 and 7 use ln)
Extra Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 534 Solve logarithmic equations of the form logax=b
Exponentials & Logarithms Key Skills Section (for selecting more than one)
Other resources
Other Videos
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Online Platforms (with Videos & Exercises)
Activities
- Berwick Maths Diagnostic Questions
- WW Logs Animation
- thechalkface Logarithms Intro Good starter activity from exponentials to needing logs.
Worksheets
- Solomon C2 Worksheet A and Solutions A (Q1-4)
- kutasoftware
14E Laws of Logs
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept. Video Covers 13E only (Area under the curve)
Dr Frost resources
Dr Frost Video
- Topic Video (From 7:07)
Bicen Maths Live Lesson
Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
Topic Tests
Extra Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 531 Simplify logarithmic expressions.
- 550 Solve logarithmic equations of the form log[f(x)]=log[g(x)]
- 551 Solve equations using logarithm product, quotient and power laws.
- combination of all
Exponentials & Logarithms Key Skills Section (for selecting more than one)
Other resources
Other Videos
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Online Platforms (with Videos & Exercises)
- Khan Academy Properties of Logarithms
Activities
- Berwick Maths Diagnostic Questions
- thechalkface Summary Page for Logs and Their Rules
- Standards Unit Simplifying Logarithmic Expressions
Worksheets
- Jethwa Maths Starter Activities (p1-4 & 11-12)
- Solomon C2 Worksheet A and Solutions A (Q5-8)
- Solomon C2 Worksheet B and Solutions B
- kutasoftware
- Logs Inverses (requires power law) Could be good way to link from last section)
- Properties of Logs
14F Solving Equations With Logs
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Dr Frost Video
- Topic Video (from 12:21)
Bicen Maths Live Lesson
Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
Extra Resources
Topic Tests
Extra Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 593 Solve a hidden quadratic involving exponentials (with log solutions).
Exponentials & Logarithms Key Skills Section (for selecting more than one)
Further Practice
Other resources
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Activities
Worksheets
- Jethwa Maths Starter Activities (p9-10)
- Solomon C2 Worksheet C and Solutions C
- thechalkface Booklet Including a Very Nice ‘Largest Prime’ Q at the Bottom of Page 3
- kutasoftware Logarithm Equations, Simple
Extension/ Further Interest
- kutasoftware Worksheet (after students watch numberphile video in 14B) Compound Interest Problems. Give answer to first Q.
14G ln, The ‘Natural Log’
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Dr Frost Video
- Topic Video (Graphing ln from 4:56)
- Topic Video
Bicen Maths Live Lesson
Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
Topic Tests
Extra Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 591 Solve an equation involving a single occurrence of e.
- 592 Solve an equation involving a single occurrence of ln.
- combination of all
Exponentials & Logarithms Key Skills Section (for selecting more than one)
Further Practice
Other resources
Other Videos
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Online Platforms (with Videos & Exercises)
- Khan Academy Lessons
Activities
Worksheets
- Jethwa Maths Starter Activities (p5-8)
- Solomon C3 Worksheet and Solutions
- kutasoftware
14H Exponentials in Data
Textbook resources
Courtesy of Owen134866 and Haberdashers’ Adams Maths Dept.
Dr Frost resources
Dr Frost Video
Bicen Maths Live Lesson
Live Lesson Using Dr Frost Based Slides Courtesy of Bicen Maths
Download Blank Notes
(Courtesy of King’s Chester Maths Department)
Download Slides
Full Coverage
- Full Coverage: Modelling with Exponential Equations (Word)
- Full Coverage: Modelling with Exponential Equations (PDF)
Extra Questions
Key Skills
Note all numbers are subject to change and will be updated once all key skills have been finished by Dr Frost
- 622 Use logarithms to estimate parameters of graphs with equation y=axb.
Exponentials & Logarithms Key Skills Section (for selecting more than one)
Further Practice
Other resources
Other Videos
Alternative Handouts
- Acute Learning Problem Pairs as PowerPoint or PDF
Online Platforms (with Videos & Exercises)
- Khan Academy Lesson
- Solving Exponential Models
- Exponential Models (Whole Set of Lessons)
Activities
- Berwick Maths Diagnostic Questions
- thechalkface
Worksheets
- Jethwa Maths Starter Activities (p13-16)
Whole Topic Summary Resources (Including Past Paper Questions)
Download PPQs as WW Powerpoint for AS Exponentials & Logarithms
Whole Topic Videos
Bicen Maths Exam Questions
External Whole Topic Past Paper Style Questions
- Jethwa Maths Worksheet & Topic Tests
- Maths Genie Worksheet and Solutions
- Dr Frost Topic Test (Teacher Log in Required)
- naikermaths PPQ booklet
- PMT