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problem
Factors and Multiples Graphs
16 to 18
Explore creating 'factors and multiples' graphs such that no lines joining the numbers cross
problem
Chance of That
16 to 18
What's the chance of a pair of lists of numbers having sample correlation exactly equal to zero?
problem
Trig-Trig
16 to 18
Explore the properties of combinations of trig functions in this open investigation.
problem
A Different Differential Equation
16 to 18
Explore the properties of this different sort of differential
equation.
problem
Few and Far Between?
16 to 18
Can you find some Pythagorean Triples where the two smaller numbers differ by 1?
article
Problem Solving: Opening Up Problems
All types of mathematical problems serve a useful purpose in mathematics teaching, but different types of problem will achieve different learning objectives. In generalmore open-ended problems have greater potential.
problem
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What's the Weather Like?
11 to 14
With access to weather station data, what interesting questions can you investigate?
problem
Calendar Patterns
7 to 11
In this section from a calendar, put a square box around the 1st,
2nd, 8th and 9th. Add all the pairs of numbers. What do you notice
about the answers?