In this feature students will have the opportunity to explore the properties of consecutive numbers, use algebra to justify their findings, and exploit the symmetries of equations in order to find efficient and elegant strategies. We hope that students will enjoy discovering that algebra can be a versatile tool for solving a range of problems.
The last date for submitting solutions to the live problems is Monday 11th July.
You can watch a recording of the webinar in which we discussed the mathematical thinking which can be prompted by these activities.
Simultaneous equations Sudoku
Solve the equations to identify the clue numbers in this Sudoku problem.
A change in code
Symmetricality
Always two
Find all the triples of numbers a, b, c such that each one of them plus the product of the other two is always 2.
Mega quadratic equations
Agile algebra
Observe symmetries and engage the power of substitution to solve complicated equations.