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Foundation Intermediate Mathematics

37 lessons across 10 topics

1. Topic 1(COLON) Number and Algebra

1Lesson 1.1: Number, Indices And Surds2Lesson 1.2: Expanding And Factorising3Lesson 1.3: Algebraic Fractions And Rearranging Formulae4Lesson 1.4: Polynomials And Basic Division

2. Topic 2(COLON) Equations, Inequalities and Simultaneous Systems

5Lesson 2.1: Linear Equations And Inequalities6Lesson 2.2: Quadratic Equations7Lesson 2.3: Simultaneous Equations8Lesson 2.4: Quadratic Inequalities And Modelling With Equations

3. Topic 3(COLON) Functions and Graphs

9Lesson 3.1: Functions, Domain And Range10Lesson 3.2: Composite And Inverse Functions11Lesson 3.3: Sketching Standard Graphs12Lesson 3.4: Transformations Of Graphs

4. Topic 4(COLON) Indices, Exponentials and Logarithms

13Lesson 4.1: Exponential Functions14Lesson 4.2: Logarithms And The Laws Of Logs15Lesson 4.3: Solving Exponential And Logarithmic Equations16Lesson 4.4: Modelling Growth And Decay

5. Topic 5(COLON) Sequences, Series and Financial Mathematics

17Lesson 5.1: Sequences And Sigma Notation18Lesson 5.2: Arithmetic Series19Lesson 5.3: Geometric Series And The Sum To Infinity20Lesson 5.4: Financial Mathematics

6. Topic 6(COLON) Coordinate Geometry

21Lesson 6.3: The Circle22Lesson 6.4: Intersections And Applications

7. Topic 7(COLON) Introduction to Trigonometry

23Lesson 7.1: Right-angled Triangle Trigonometry24Lesson 7.2: The Sine And Cosine Rules25Lesson 7.3: Radian Measure And The Unit Circle26Lesson 7.4: Graphs Of Trigonometric Functions

8. Topic 8(COLON) Introduction to Differentiation

27Lesson 8.1: Rate Of Change And The Gradient Of A Curve28Lesson 8.2: Differentiating Polynomials29Lesson 8.4: Stationary Points And Simple Optimisation

9. Topic 9(COLON) Descriptive Statistics and Data Handling

30Lesson 9.1: Types Of Data And Data Collection31Lesson 9.2: Representing Data32Lesson 9.3: Measures Of Location And Spread33Lesson 9.4: Correlation And Interpreting Data

10. Topic 10(COLON) Introduction to Probability

34Lesson 10.1: Probability And Sample Spaces35Lesson 10.2: Combined Events And Set Notation36Lesson 10.3: Conditional Probability And Tree Diagrams37Lesson 10.4: Discrete Random Variables And Expectation