Units. Year 1. Unit 1: Course Overview

Transcription

1 Mathematics SL

2 Units All Pamoja courses are written by experienced subject matter experts and integrate the principles of TOK and the approaches to learning of the IB learner profile. This course has been authorised by the International Baccalaureate (IB). Year 1 Unit 1: Course Overview 1:1 - Getting Started 1:2 - Introducing Mathematics SL 1:3 - Assessment and Tools 2:1 - Length, Gradient and Midpoint 2:2 - Linear Equations 2:3 - Trigonometry Unit 2: Algebra 3:1 - Arithmetic Sequences 3:2 - Geometric Sequences 3:3 - Sigma Notation 4:1 - Arithmetic Series 4:2 - Geometric Series 4:3 - Converging Geometric Series 5:1 - Pascal's Triangle 5:2 - Binomial Theorem 5:1 - M2018 MATHEMATICS SL conference - Optional 5:2 - WSO Dubai Live Lesson 6:1 - Linear Graphs 6:2 - Parallel and Perpendicular Lines 6:3 - Solving Quadratic Equations by Factorising 6:4 - Solving Quadratics by Completing the Square 7:1 - Solving Quadratics Using the Quadratic Formula 7:2 - The Discriminant 8:1 - Graphs of Quadratic Expressions 8:2 - Equations of Quadratics 8:3 - Term Report (Self Reflection) 9:1 - Functions and Relations 9:2 - Composite Functions 9:3 - Inverse Functions 9:4 - M2018 MATHEMATICS SL conference Week 9 Unit 3: Functions and Equations 1 3:1 - M2018 MATHEMATICS SL conference 4:1 - Maths SL weekly live lesson Unit 4: Functions and Equations 2 10:1 - y=1xy=1x 10:2 - Rational Functions 10:3 - Graphing rational functions 11:1 - Exponents and Logarithms 11:2 - Laws of Logarithms 1

3 11:3 - Using Logarithms 11:4 - M2018 MATHEMATICS SL conference - Exponents and Logarithms 12:1 - Exponential Functions 12:2 - Logarithmic Functions 12:3 - Exponential and Logarithmic Models 12:4 - M2018 MATHEMATICS SL Week 12 13:1 - Transformations 13:2 - Graphs of Inverse Functions 13:3 - Maths SL wk 13: 8 Dec 1700 GMT Unit 5: Trigonometry 1 14:1 - Area of a Triangle 14:2 - Sine Rule 14:3 - Week 14 - Trigonometry M :1 - The Cosine Rule 15:2 - Ambiguous Case 15:3 - Term 2 Teacher Written Report 16:1 - Radian Measure 16:2 - Arc Length and Sector Area 16:3 - Week 16 - Trigonometry Unit 6: Trigonometry 2 17:1 - The Unit Circle 17:2 - Trigonometric Functions and Graphs 18:1 - Transformations of Trig Graphs 18:2 - Trig Identities 18:3 - Week 18 conference 19:1 - Double Angle Formulae 19:2 - Solving Trig Equations Graphically 20:1 - Solving Trig Equations Algebraically 20:2 - Solving Equations using Identities 20:3 - Week 20 LL - M2018 Unit 7: Calculus 1 21:1 - Concept of a limit 21:2 - Differentiation from First Principles 22:1 - The Derivative Function 22:2 - Derivatives of other functions 22:3 - Week 22 - M :1 - The Chain Rule 23:2 - The Product and Quotient Rules Unit 8: Calculus 2 24:1 - Tangents 24:2 - Normals 24:3 - Week 24 LL - M :1 - Increasing and Decreasing Functions 25:2 - Stationary Points 25:3 - Term Report (Self Reflection) 26:1 - Second Derivatives 26:2 - Graphing using Differentiation 26:3 - Week 26 LL - M2018 2

4 27:1 - Optimisation 28:1 - Kinematics 28:2 - Week 28 Live Lesson - M2018 MATHEMATICS SL Y1 conference Unit 9: Review 29:1 - End of Year Review 30:1 - End of Year Exam Paper 1 30:2 - End of Year Exam Paper 2 Unit 10: Statistics and Probability 1 31:1 - Introduction to Probability 31:2 - Visual Representations of Probability 32:1 - More Probability Laws 32:2 - Problems in Probability 33:1 - Conditional Probability 33:2 - Independent Events 33:3 - M2018 MATHEMATICS SL conference 33:4 - Term 4 Teacher Written Report Year 2 Unit 1: Calculus 3 34:1 - Introducing Mathematics SL 34:2 - Organising the IA 34:3 - Internal Assessment: The Exploration 35:1 - Antiderivatives and Integrals 35:2 - Boundary Conditions 36:1 - Integrating Trigonometric and Exponential Functions 36:2 - Integration Resulting in Logarithms 36:3 - Rules of Integration Part 1 36:4 - Rules of Integration Part 2 37:1 - Integration by Inspection 37:2 - Integration by Substitution Unit 2: Calculus 4 38:1 - Definite Integrals Part 1 38:2 - Definite Integrals Part 2 39:1 - Area Under a Curve 39:2 - Area Between Two Curves 39:3 - Volume of Revolution 40:1 - Kinematics- Finding Velocity and Acceleration 40:2 - Kinematics- Finding Displacement Unit 3: Vectors 41:1 - Introducing Vectors 41:2 - More about Vectors 41:3 - Term Report (Self Reflection) 42:1 - Magnitude and Unit Vectors 43:1 - Scalar Product 43:2 - Applying the Scalar product 44:1 - Vector Equation of a Line in 2D 44:2 - Kinematics and Vectors 45:1 - Vector equation of a line in 3D 3

5 45:2 - Intersections of Lines in 3D Unit 4: Statistics and Probability 2 46:1 - Grouped Data and the Mean 46:2 - Measures of Dispersion 47:1 - Representing Data 47:2 - Box and Whisker Diagrams 48:1 - Internal Assessment Write Up 1 48:2 - Internal Assessment Consent Form 48:3 - Term 6 Teacher Written Report 49:1 - Internal Assessment Write Up 2 50:1 - Trial Exam Review 51:1 - Trial Exam Paper 1 51:2 - Trial Exam Paper 2 52:1 - Cumulative Frequency 52:2 - Scatter Graphs and Correlation 53:1 - Pearson's Product Moment Correlation Coefficient 53:2 - Lines of Best Fit and Regression 53:3 - Internal Assessment Submission Unit 5: Statistics and Probability 3 54:1 - Discrete Random Variables 54:2 - Working with Discrete Random Variables 55:1 - Binomial Distribution 55:2 - Working With Binomial Distributions 56:1 - The Normal Distribution 56:2 - The Z Distribution 56:3 - Statistics for maths SL 57:1 - Probability Review 57:2 - Handling Data Review 57:3 - Probability Distributions Review Unit 6: Review 58:1 - Exam Review One 58:2 - Term 7 Teacher Written Report 59:1 - Exam Review Two 59:2 - Maths SL revision for ALGEBRA 59:3 - Maths SL revision of Vectors 60:1 - Exam Review Three 61:1 - Exam Review Four 62:1 - Exam Review Five 4