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High School (11–12) · Experimental Skills
You will write four functions for the optics experiments and the meters. They follow the lesson. The idea. For a real image, f = (uv)/(u + v). For a slab, n = ( i)/( r). For a prism at the least deviation, n = ((A + δ…
StemPy LabHigh School (11–12) · Principles Related to Practical Chemistry
You will finish a calculation of the percentage purity of a sample of Mohr's salt from a permanganate titration. The sample of 1.960 g was made up to 100.0 mL. A portion of 10.0 mL was titrated with permanganate of co…
High School (11–12) · Probability
You will write a small simulation toolkit. It has a function that estimates a probability. It has one experiment, two friends who may meet. It has a test of whether an estimate is within the usual error of the exact v…
High School (11–12) · Structural Organisation in Animals
You will count the eggs of a female cockroach, find the adults that you expect, and follow the length of a nymph through its moults. The idea. The eggs are the oothecae times the eggs in each. A nymph grows by a facto…
Fit a noisy sine Python Programming
High School (11–12), High School (9–10), Undergraduate, General · Trigonometry and Waves by Computer
You will fit a sine to 60 noisy readings of a swinging spring, with a first guess from the FFT. The idea. The FFT finds the main frequency to within one bar. curve_fit then refines the amplitude, the frequency and the…
High School (9–10), High School (11–12), Undergraduate, General · Learning from Samples, Probability and Chance
You will write a shuffling test for two groups and use it on made-up data. The idea. Under the null idea of no difference, the labels mean nothing. Pool the values, shuffle, split them again and record the difference…
High School (11–12) · Experimental Skills
You will write four functions for the metre bridge and the potentiometer. They follow the lesson. The idea. On a metre bridge, (R)/(S) = (l)/(100 - l). The percentage error in R from an error Δ l in the balance point…
High School (11–12) · Principles Related to Practical Chemistry
You will write three small functions that turn burette readings into a concentration. Readings are in millilitres. The idea. A titre is the final reading minus the initial reading. Two titres that agree within 0.10 mL…
High School (11–12) · Probability
You will write three small functions that count the ways to get a total with several dice: the number of ways for one total, the most likely total, and the chance of a total of at most some value. The checker uses two…
High School (11–12) · Structural Organisation in Animals
You will place the parts of the alimentary canal in their regions, add the times that food spends in the parts, and find the part where the food stays longest. The idea. The alimentary canal has a foregut, a midgut an…
A wave and its speed Python Programming
High School (11–12), High School (9–10), Undergraduate, General · Trigonometry and Waves by Computer
You will draw a wave of wavelength 3.0 m and frequency 4.0 Hz at two times, find its first crest each time, and work out its speed. The idea. The crest of y = A(kx - ω t) moves at the speed v = fλ. You find where the…
High School (9–10), High School (11–12), Undergraduate, General · Learning from Samples, Probability and Chance
You will test a coin both ways: by simulation and by exact counting. The idea. Under the null idea, the coin is fair. The p-value is the chance that a fair coin gives at least as many heads as the real one. Your tasks…
High School (11–12) · Experimental Skills
You will write four functions for the experiments on heat and sound. They follow the lesson. The idea. In the method of mixtures, the heat lost by the hot block equals the heat gained by the liquid and the calorimeter…
High School (11–12) · Principles Related to Practical Chemistry
You will finish a small program for the cation group scheme. A dictionary gives the group of each cation. A mixture is a list of cations. The idea. Each group reagent takes out the cations of one group. The cations th…
High School (11–12) · Probability
You will write three functions that find probabilities for draws from a group, using math.comb: the number of selections, the chance of exactly k special objects, and the chance of at least k. The checker compares the…
High School (11–12) · Structural Organisation in Animals
You will time an impulse along a nerve fibre, choose the speed for a kind of fibre, and compare two fibres. The idea. Time is distance divided by speed. A large myelinated fibre conducts at about 100 m/s, and an unmye…
An identity checker Python Programming
High School (11–12), High School (9–10), Undergraduate, General · Trigonometry and Waves by Computer
You will write three small functions that check a claimed identity on many angles: one finds the worst miss between the two sides, one says whether the identity holds, and one finds an angle where it fails. The idea.…
High School (9–10), High School (11–12), Undergraduate, General · Learning from Samples
You will simulate many surveys from a town where the true share is known, and count how often the 95% interval catches it. The idea. Each survey asks n people. Each person says yes when a random number is below the tr…
High School (11–12) · Experimental Skills
You will write four functions for Searle's experiment. They follow the lesson. The idea. For a wire of diameter d and length L, Y = (4MgL)/(π d^2 Δ L). A line through the origin fitted to the extension against the loa…
High School (11–12) · Principles Related to Practical Chemistry
You will write three functions that name an anion from what is seen. The observations are stored in a dictionary with three keys. The key "dilute" holds the gas with dilute sulphuric acid ("CO2", "H2S", "SO2", "NO2",…
High School (11–12) · Probability
You will write three small functions: one that finds a probability by counting outcomes, one that finds P(A B) with the addition theorem, and one that finds the probability of exactly one of two events. The checker us…
High School (11–12) · Structural Organisation in Animals
You will find the blood pumped in a minute, count the beats in some minutes, and name a muscle from its features. The idea. Cardiac output is the heart rate times the stroke volume. One litre is 1000 mL. Your tasks. F…
An angle toolkit Python Programming
High School (11–12), High School (9–10), Undergraduate, General · Trigonometry and Waves by Computer
You will write three small functions for angles: one that converts degrees to radians without math.radians, one that finds the quadrant of an angle, and one that returns the point of the unit circle at an angle. The i…
High School (9–10), High School (11–12), Undergraduate, General · Learning from Samples
You will write the 95% interval for a proportion, with a check of its conditions. The idea. The estimate is p = countn. The margin is 1.96√(( p(1 - p))/(n)). The formula is trusted only with at least 10 successes and…
High School (11–12) · Experimental Skills
You will write four functions for the pendulum and the straight-line graph. They follow the least-squares formulas of the lesson. The idea. The line y = mx + c through the points has the slope m = (nΣ xy - Σ xΣ y)/(nΣ…