Internal Assessment

In an IB Mathematics: Analysis and Approaches Internal Assessment, which of the following topics is most suitable for exploring calculus applications?

Which of the following is an essential criterion for a good Internal Assessment (IA) topic in IB Math AA?

If a student chooses to investigate the pattern of prime numbers using modular arithmetic in their IA, which branch of mathematics are they primarily exploring?

A student models the spread of COVID-19 cases in an Indian city using logistic growth functions in their IA. Which mathematical concept is primarily applied?

In an IA, a student derives the formula for the sum of the first n squares using mathematical induction. Which of the following is the correct formula they should prove?

A student investigates the convergence of the infinite series \( \sum_{n=1}^\infty \frac{1}{n^p} \) for different values of \( p \). For which values of \( p \) does the series converge?

In an IA exploring the properties of conic sections, a student derives the equation of a parabola with focus at \( (0,3) \) and directrix \( y = -3 \). What is the correct equation of this parabola?

A student investigates the function \( f(x) = x^3 - 6x^2 + 9x + 15 \) in their IA. They find critical points by setting \( f'(x) = 0 \). What are the critical points?

In an IA, a student uses the Indian festival of Diwali to model the decay of firecracker light intensity over time with an exponential decay function \( I(t) = I_0 e^{-kt} \). If the intensity halves every 2 seconds, what is the value of \( k \)?

A student explores the probability of getting exactly 3 heads in 5 tosses of a fair coin for their IA. What is the probability?