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How to learn Diploma Programme: Mathematics

IB Diploma Programme: Mathematics, Diploma Programme

0 of 8 concepts ready to learn · Markdown, for your AI

1. Topic 4: Statistics and probability · Use of Venn diagrams, tree diagrams, sample space diagrams and tables of outcomes to calculate probabilities.

  1. Tree diagrams: Generate theoretical sample spaces for single and combined events using listing, tables, and tree diagrams, and calculate theoretical probabilities as the number of favourable outcomes divided by the total number of equally likely outcomes

2. Topic 3: Geometry and trigonometry · The Pythagorean identity cos2 θ + sin2 θ = 1. Double angle identities for sine and cosine.

  1. Trigonometry basics: Use the trigonometric ratios sin, cos, and tan in right-angled triangles to find unknown sides and angles, including setting up the correct ratio for a given problem

3. Functions · Solving equations, both graphically and analytically.

  1. Estimating answers (age 13+): Use graphs of linear and quadratic functions to estimate output values for given inputs, find approximate solutions to equations, and interpret graphical information in real-world contexts

4. Functions · The graph of a function; its equation y = f(x).

  1. Linear Function Graphs: Recognise that a linear function produces a straight-line graph, understand the relationship between an equation of the form y = mx + c and its graphical representation, and interpret gradient and y-intercept in context

5. Number and algebra

  1. Generating Sequences: Generate terms of a sequence from a term-to-term rule (e.g., 'add 3 each time') or a position-to-term rule (e.g., '2n + 1'), and identify whether a sequence is arithmetic, geometric, or neither
  2. Nth-Term Rules: Find the nth-term expression for an arithmetic sequence by identifying the common difference and the zero-term, and use it to determine any term in the sequence or test whether a given number belongs to the sequence

6. Statistics and Probability · SL 4.4 (Linear Regressions)

  1. Scatter Graphs: Plot bivariate data on a scatter graph with correctly labelled axes and appropriate scales; describe the correlation (positive, negative, none) and draw an estimated line of best fit where appropriate

7. Number and Algebra · SL 1.1 (Standard Form)

  1. Powers of Ten Notation: Interpret and compare numbers in standard form A × 10ⁿ where 1 ≤ A < 10 and n is an integer; convert between ordinary numbers and standard form