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Integrated Mathematics

Study all three modules through original worked solutions, numbered method diagrams, and Caribbean datasets. Every objective carries guided practice and eight mastery variants built from the mathematics the lessons actually teach.

2346 minestimated study time ENcourse language

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Unit 1

Foundations, Statistics and Calculus

Work from algebraic and functional foundations through statistical reasoning to the calculus of change and accumulation.
1

Foundations of Mathematics

Free

Build the algebraic, functional, and numerical foundation the rest of the unit depends on, from functions and logarithms through progressions, trigonometry, matrices, and complex numbers.

886 min · 37 published activities
  1. Foundations of Mathematics readiness 12 min
  2. Classifying a function 22 min
  3. Finding domain and range 24 min
  4. Restricting to invert 26 min
  5. Determining an inverse 22 min
  6. Composing functions 24 min
  7. Solving inequalities 26 min
  8. Applying functions and inequalities 22 min
  9. Properties of exponentials and logarithms 24 min
  10. Converting between forms 26 min
  11. Applying the laws of indices 22 min
  12. Applying the laws of logarithms 24 min
  13. Modelling with exponents and logarithms 26 min
  14. Using the remainder theorem 22 min
  15. Using the factor theorem 24 min
  16. Solving polynomial problems 26 min
  17. Distinguishing sequences and series 22 min
  18. Using the general term 24 min
  19. The nth term of an arithmetic progression 26 min
  20. Summing an arithmetic progression 22 min
  21. Working with geometric progressions 24 min
  22. Sum to infinity 26 min
  23. Applying sequences and series 22 min
  24. Evaluating trigonometric ratios 24 min
  25. Solving trigonometric equations 26 min
  26. Sketching trigonometric graphs 22 min
  27. Interpreting trigonometric models 24 min
  28. Performing matrix operations 26 min
  29. Representing a system as a matrix equation 22 min
  30. Evaluating a determinant 24 min
  31. Solving a linear system 26 min
  32. Applying matrices 22 min
  33. Complex roots of a quadratic 24 min
  34. Operating on complex numbers 26 min
  35. Representing complex numbers 22 min
  36. Applying complex numbers 24 min
  37. Foundations of Mathematics review 36 min
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2

Statistics

Subscription required · from XCD 25.00 / month, all courses

Collect, organise, summarise, and reason from data, then quantify uncertainty with counting techniques, probability models, and regression.

742 min · 31 published activities
  1. Statistics readiness 12 min
  2. Classifying data 22 min
  3. Distinguishing population and sample 24 min
  4. Choosing a sampling method 26 min
  5. Constructing a frequency table 22 min
  6. Using cumulative frequency 24 min
  7. Presenting data appropriately 26 min
  8. Identifying the shape of a distribution 22 min
  9. Estimating measures of location 24 min
  10. Choosing a measure of location 26 min
  11. Determining measures of spread 22 min
  12. Applying location and spread 24 min
  13. Calculating permutations 26 min
  14. Calculating combinations 22 min
  15. Applying counting techniques 24 min
  16. Distinguishing probability terms 26 min
  17. Applying the rules of probability 22 min
  18. Using a probability tree 24 min
  19. Distinguishing discrete and continuous 26 min
  20. Calculating from a distribution 22 min
  21. Justifying a binomial model 24 min
  22. Calculating binomial probabilities 26 min
  23. Describing the normal model 22 min
  24. Finding normal probabilities 24 min
  25. Applying probability 26 min
  26. Explaining correlation 22 min
  27. Interpreting a correlation coefficient 24 min
  28. Drawing a regression line 26 min
  29. Interpreting a regression equation 22 min
  30. Solving problems with statistics 24 min
  31. Statistics review 36 min
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3

Calculus

Subscription required · from XCD 25.00 / month, all courses

Move from limiting behaviour to differentiation and integration, and use them to describe rates, optimise, and accumulate.

718 min · 30 published activities
  1. Calculus readiness 12 min
  2. Describing limiting behaviour 22 min
  3. One-sided limits 24 min
  4. Applying limit theorems 26 min
  5. Resolving indeterminate forms 22 min
  6. Identifying discontinuities 24 min
  7. Applying limits and continuity 26 min
  8. Relating derivative and gradient 22 min
  9. Differentiating from first principles 24 min
  10. Differentiating polynomials 26 min
  11. Differentiating trigonometric expressions 22 min
  12. Reading the sign of the derivative 24 min
  13. Sketching from the derivative 26 min
  14. Applying the chain rule 22 min
  15. Applying product and quotient rules 24 min
  16. Differentiating exponentials and logarithms 26 min
  17. Differentiating composite exponentials 22 min
  18. Determining stationary points 24 min
  19. Classifying stationary points 26 min
  20. Optimising with calculus 22 min
  21. Finding a partial derivative 24 min
  22. Recognising integration as reversal 26 min
  23. Computing indefinite integrals 22 min
  24. Integrating by substitution 24 min
  25. Computing definite integrals 26 min
  26. Determining area 22 min
  27. Formulating a differential equation 24 min
  28. Solving a differential equation 26 min
  29. Applying integration 22 min
  30. Calculus review 36 min
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