pptx, 10.14 MB
pptx, 10.14 MB

IB Math AI SL 1.7 – Amortisation and Annuities Using Technology

This editable slide-deck focuses on two key financial mathematics concepts: amortisation and annuities. Students are guided through how loans and regular investment/withdrawal schedules can be modelled as geometric sequences, and how technology (such as the Finance Solver on a TI-Nspire) can be used to compute payment amounts, durations, future values, and present values efficiently.

Through realistic examples, learners apply formulas in context, set up variables (N = number of periods, I = interest rate, PV/FV/Pmt etc.) and interpret results critically. The lesson links abstract mathematical structures to real-world financial decision-making, emphasises the correct use of technology (including setting cash flows as negative when appropriate), and models how interest, time and payments interact dynamically.

Aligned with the IB Math AI SL syllabus (Topic 1, Number & Algebra: 1.7), this resource offers a practical, technology-integrated approach to amortisation and annuity problems and is ideal for classroom teaching, guided demos or independent review.

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IB Math AI Unit 1 - Numbers and Algebra Slidedeck Bundle

**IB Math AI HL Unit 1 – Number and Algebra Full Slide Deck Bundle** **Topics:** Standard Notation, Arithmetic Sequences, Geometric Sequences, Financial Applications, Exponents & Logarithms, Approximation & Percentage Error, Amortisation & Annuities, Solving Equations Using Technology, Laws of Logarithms, Simplifying Expressions, Infinite Geometric Sequences, Complex Numbers, Polar & Exponential Form, Matrices, Eigenvalues & Eigenvectors **Level:** IB Mathematics: Applications and Interpretation (HL & SL combined) **File Type:** Complete Editable Slide Deck Bundle **Bundle Price:** £45 → **£30 (33% discount)** --- ### **Overview** This premium bundle contains **every slide deck from Unit 1 – Number and Algebra** for both **Standard Level (SL)** and **Higher Level (HL)** components of the IB Mathematics: Applications and Interpretation syllabus. From notation and sequences to logarithms, complex numbers, and matrices, these PowerPoints provide a complete, sequenced journey through every sub-topic in Unit 1 — each aligned to IB command terms and assessment objectives. --- ### **Learning Outcomes** By completing all lessons in this bundle, students will be able to: * Represent numbers using **standard and scientific notation**. * Recognise and model **arithmetic and geometric sequences and series**. * Apply sequence concepts to **financial models** including compound interest and depreciation. * Manipulate and simplify **expressions with exponents and logarithms**, including laws of logs. * Evaluate approximations and calculate **percentage errors** with precision. * Use **technology** to solve equations and financial models. * Extend to **infinite geometric series** and determine conditions for convergence. * Work with **complex numbers**, including conjugates, Cartesian and polar forms. * Understand and apply **matrices** to represent and solve systems of equations. * Compute **eigenvalues and eigenvectors** and interpret their meaning in matrix transformations. --- ### **What’s Included** * **15 editable PowerPoint slide decks**, each covering a syllabus subtopic. * Concept introductions, worked examples, IB-style questions, and solutions. * Step-by-step demonstrations using technology (where applicable). * Visual representations of concepts using graphs, tables, and diagrams. * Designed for **classroom or digital delivery** — fully editable and teacher-ready. --- ### **Topics Covered** #### **Standard Level (Topics 1.1 – 1.8)** * **1.1 Standard Notation** – Scientific notation, orders of magnitude, and significant figures. * **1.2 Arithmetic Sequences** – nth-term formula and sum of a finite series. * **1.3 Geometric Sequences** – Common ratio and sum of finite and infinite series. * **1.4 Financial Applications of Geometric Sequences and Series** – Compound interest and depreciation. * **1.5 Exponents and Logarithms** – Exponential laws, log rules, and solving equations. * **1.6 Approximation, Estimation & Percentage Error** – Rounding, significant figures, and error bounds. * **1.7 Amortisation & Annuities Using Technology** – Using financial solvers to model payments and loans. * **1.8 Solving Equations Using Technology** – Calculator and graphical solutions to linear and non-linear systems. #### **Higher Level (Topics 1.9 – 1.15)** * **1.9 Laws of Logarithms** – Proofs and applications of logarithmic identities. * **1.10 Simplifying Expressions** – Rational exponents and algebraic simplification. * **1.11 Infinite Geometric Sequences** – Conditions for convergence and sum to infinity. * **1.12 The Complex Number** – Real and imaginary components and complex conjugates. * **1.13 The Polar and Exponential Form** – Modulus, argument, and Euler’s form. * **1.14 Introduction to Matrices** – Matrix operations, determinants, and inverses. * **1.15 Eigenvalues and Eigenvectors** – Characteristic polynomials and diagonalization. --- ### **Why You’ll Love It** * Covers **every Number and Algebra topic** for both SL and HL in one coherent bundle. * Fully aligned with the **IB AI HL syllabus** and assessment objectives. * Clean, professional, and visually consistent design for seamless teaching. * Perfect for full-term planning or comprehensive revision. * **Save 33% (£15)** versus buying each deck individually. * The most complete Unit 1 teaching solution available for IB Math AI HL. --- ### **Tags** IB Math AI HL, IB Math AI SL, Number and Algebra, Sequences and Series, Exponents, Logarithms, Matrices, Complex Numbers, Eigenvalues, Polar Form, Financial Mathematics, Amortisation, IB Curriculum, Lesson Slides, Bundle

£30.00

Review

5

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Kenthegen1

22 days ago
5

This is Great!!! So Glad i got this. Gonna definitely refer my colleges

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