Chapter 1: Exploring Numeracy
* Understanding number systems and operations (e.g., converting between different bases, rounding numbers)
* Real-world example: Calculating the cost of groceries after a discount, considering different quantities and prices
Chapter 2: Shape and Measurement
* Properties of geometric shapes (e.g., area, volume, similarity)
* Real-world example: Designing a rectangular garden with specific dimensions and calculating the amount of fertilizer needed
Chapter 3: Managing Information
* Collecting and organizing data (e.g., surveys, tables)
* Real-world example: Conducting a survey on students' preferred extracurricular activities and presenting the results in a bar chart
Chapter 4: Expressions and Equations
* Solving algebraic equations (e.g., linear, quadratic)
* Real-world example: Calculating the number of hours needed to complete a job based on the efficiency of two workers
Chapter 5: Functions
* Understanding graphs and their properties (e.g., intercepts, gradients)
* Real-world example: Graphing the relationship between the temperature of a cup of tea and the time since it was poured
Chapter 6: Vectors
* Representing and manipulating vectors (e.g., addition, subtraction)
* Real-world example: Calculating the resultant force on an object from two applied forces
Chapter 7: Dynamics and Motion
* Laws of motion and energy (e.g., Newton's laws, mechanical energy)
* Real-world example: Determining the distance a car travels before stopping, considering its initial velocity and braking distance
Chapter 8: Statistics
* Measures of central tendency (e.g., mean, median, mode)
* Real-world example: Calculating the average attendance at a series of events
Chapter 9: Financial Mathematics
* Percentages, interest, and compound interest
* Real-world example: Calculating the total amount of interest paid on a loan over a certain time period
Chapter 10: Probability
* Conditional probability, Bayes' theorem
* Real-world example: Determining the probability of a specific card being drawn from a deck, considering previous draws
