IB Math AI AHL 1.15 - Eigenvalues and Eigenvectors

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