Chapter 1
Algebraic Methods
Use polynomial division, factor theorem, partial fractions, rational binomial expansion, and advanced equation solving.
deepmaths.co.nz/courses/book-09-a2-9709-paper-3/chapters/chapter-01-algebraic-methods
Book 9
A2 9709 Paper 3 Pure Mathematics 3
Cambridge 9709 Paper 3. This course page connects the printed workbook to chapter learning pages, worked solutions, interactive practice, future videos, and progress tracking.
Course framework
Level
Cambridge A2
QR-ready route
/courses/book-09-a2-9709-paper-3
Workbook source
/workbooks/book-09-a2-9709-paper-3/exports/book-09-a2-9709-paper-3.pdf
Multimedia
4 slots per chapter
Phase 7 integration
Unified learning system
This page is connected to the shared DeepMaths pathway: workbook, chapter theory, worked examples, practice, hints, AI Tutor, worked solutions, challenge questions, quiz and progress update.
Course route
/courses/book-09-a2-9709-paper-3
Topic placeholders
12
Resource slots
100
Assessment hooks
40
Student pathway
01
Workbook
Workbook chapter is opened or assigned.
02
Chapter
Chapter page is opened.
03
Theory
Theory sections are marked complete.
04
Worked examples
Worked-example section is marked complete.
05
Practice
Scored practice attempt is saved.
06
Hints
Hint stage can be logged for future review.
07
DeepMaths AI Tutor
AI request can be saved when teacher review is enabled.
08
Worked solutions
Solution review can be recorded later.
09
Challenge questions
Challenge section is marked complete.
10
Chapter quiz
Quiz result is recorded.
11
Progress update
Progress state updates the dashboard and teacher analytics.
Cross-book connections
Self-study sequence
The online course supports students after they have engaged with the workbook. The platform is structured to encourage independent thinking before additional support is opened.
- 1Read the workbook teaching notes
- 2Answer the guided question before the explanation
- 3Attempt the chapter exercises independently
- 4Check final answers in the book
- 5Read the future connection for the concept
- 6Use worked solutions when stuck
- 7Complete interactive practice and challenge questions
Chapter map
Permanent learning pages
Open
Chapter 2
Functions and Modulus
Work with transformations, modulus functions, inverse functions, and composite functions.
deepmaths.co.nz/courses/book-09-a2-9709-paper-3/chapters/chapter-02-functions-and-modulus
Chapter 3
Trigonometry
Use compound-angle formulae, double-angle formulae, R-form, identity proof, and Paper 3 trigonometric equations.
deepmaths.co.nz/courses/book-09-a2-9709-paper-3/chapters/chapter-03-trigonometry
Chapter 4
Exponentials and Logarithms
Solve equations and model growth or decay using logarithms and exponentials.
deepmaths.co.nz/courses/book-09-a2-9709-paper-3/chapters/chapter-04-exponentials-and-logarithms
Chapter 5
Differentiation
Use product, quotient, chain, trigonometric, inverse trigonometric, implicit and parametric differentiation, and modelling applications.
deepmaths.co.nz/courses/book-09-a2-9709-paper-3/chapters/chapter-05-differentiation
Chapter 6
Integration
Use substitution, integration by parts, partial fractions, exact area, volume of revolution, separable differential equations, and Newton's law of cooling.
deepmaths.co.nz/courses/book-09-a2-9709-paper-3/chapters/chapter-06-integration
Chapter 7
Numerical Solution of Equations
Use sign-change reasoning, bisection and given fixed-point iteration with appropriate accuracy.
deepmaths.co.nz/courses/book-09-a2-9709-paper-3/chapters/chapter-07-numerical-solution-of-equations
Chapter 8
Vectors
Use 2D and 3D vector methods for scalar product, intersections, line classification, closest points, and shortest distances.
deepmaths.co.nz/courses/book-09-a2-9709-paper-3/chapters/chapter-08-vectors
Chapter 9
Complex Numbers
Use Cartesian and polar complex numbers, de Moivre's theorem, roots, transformations, and Argand loci.
deepmaths.co.nz/courses/book-09-a2-9709-paper-3/chapters/chapter-09-complex-numbers
Chapter 10
P3 Mixed Practice
Complete mixed advanced pure mathematics sets in Paper 3 style.
deepmaths.co.nz/courses/book-09-a2-9709-paper-3/chapters/chapter-10-p3-mixed-practice
Learning system capabilities
14 learning sections
Future Connection on chapter pages
Question-pause-think lesson model
4 assessment types
10 resource slots
4 multimedia slots
Built from the future backwards
Each chapter page now identifies what the current topic prepares students for later: algebra, functions, trigonometry, calculus, statistics, proof, modelling or exam synthesis.
Guided mathematical thinking
The standard lesson pattern is question, pause, student thinking, explanation, practice and feedback. The platform is being shaped around active reasoning rather than passive video watching.