Past Secondary Teacher Features
Starting the Year with Rich Tasks
These tasks, chosen from our 2023 summer challenges, are particularly suitable for the start of the school year, when you are getting to know your students.
Matrices
Are you ready to enter the matrix? In this feature you will discover how matrices can be multiplied, explore how they can be used to represent transformations, use them to model probability problems and explore four dimensional numbers.
Visualising Quadrilaterals
The problems and games in this feature will challenge students to visualise quadrilaterials and may help them gain a better understanding of their properties.
STEP on Up
In this feature there are 4 problems based on STEP questions, all of which involve number theory.
Trigonometry Feature
In this feature we are exploring and proving some results about tetrahedrons.
Christmas Conundrums 2022
In this feature we are presenting problems with a festive twist.
Place Value Challenges
These tasks offer an engaging way for students to deepen their understanding of place value.
A Quartet of Tetrahedra
In this feature we are exploring and proving some results about tetrahedrons.
Playing with Mathematical Sudokus
In this feature, we challenge you to solve our Mathdokus, a mathematical variation of the well-known Sudoku
Starting the Term with Rich Tasks
These tasks, chosen from our 2022 summer challenges, are particularly suitable for the start of term, when you are getting to know your students.
Symmetry, Substitutions and Surprises
In this feature you will be challenged to derive elegant and efficient solutions to problems which, at first sight, might seem very difficult.
Efficient and Elegant Algebra
We hope that students working on these problems will enjoy discovering that algebra can be a versatile tool for solving a range of problems.
Logically Speaking
Students are invited to explore a variety of problems and are then challenged to construct convincing arguments to explain what they have discovered.
Circular Logic
These problems offer students the chance to investigate geometrical properties, make conjectures and create convincing mathematical proofs.
Proof for All (st)ages
The problems in this feature offer students the chance to identify number patterns, make conjectures and create convincing mathematical proofs.
Climate Change, Carbon Footprints and Maths
The problems in this feature will encourage students to explore the impact that lifestyle choices have on the environment.
Networks and Graph Theory
This feature introduces students to the world of networks and graph theory and their applications.
Planning Strategically
The activities in this feature offer a variety of playful contexts in which students are required to plan ahead and analyse the outcomes.
Properties of Numbers
The problems in this feature will give students the chance to investigate the properties of numbers in a variety of contexts.
Modular Arithmetic
Enter the world of modular arithmetic and discover the secrets of public key cryptography.
Some Problems in Number Theory
Number theory is a rich source of interesting problems which can lead to surprising results.
Numerical Explorations
This feature offers students some interesting problems that introduce them to number theory, where they are able to apply some standard algebraic techniques and pictorial representations.
Exploring Graphs
A chance to consider the equations of straight line graphs before moving on to consider the properties of quadratics and cubics
Curve Sketching Feature
Curve sketching can be a very useful tool when you are solving equations or inequalities.
Chance and Probability
This feature is intended to help students understand how probability can help them make better choices.
Nurturing Successful Mathematicians
We share a model for reflecting on what makes a good mathematician
Flexible Approaches to Problem Solving
The problems in this feature challenge students to explore different ways of arriving at a solution.
Representing and Comparing Quantities
How do we write numbers in different forms?
Visualising with Cuisenaire
How can Cuisenaire rods be used to develop visualising and reasoning?
Low Threshold High Ceiling Tasks for Secondary Classrooms
From Exploration to Explanation
Problems designed to inspire students to explore and provoke a need to explain
Understanding Inverse Relationships
The problems in this feature encourage students to consider inverses and working backwards to solve problems.
Evaluating Methods, Improving Solutions
Encouraging students to reflect on their own and others' solutions
Multiple Representations
Using different representations helps students to think mathematically.
Introducing Mathematical Sudokus
In this feature, we introduce our Mathdokus, a mathematical variation of the well-known Sudoku
Resilience and the Growth Zone
Advice and problems to help your students become more resilient.
Mathematical Etudes and Purposeful Practice
Developing fluency, provoking reasoning.
Play, Persevere, Succeed
Invite your students to be playful with this selection of numerical tasks.
Areas of Interest
In this feature, we offer a selection of rich problems about area for use in all secondary classrooms.
Featuring Our Short Problems
Short problems ideal for revision and assessment
Seeing Is Believing
Some mathematical results can be proved beautifully with just a simple diagram...
Freedom and Constraints
There's more room to manoeuvre than you might initially imagine!
Number Patterns and Infinity
See some Number Patterns problems from Wild Maths and make your classroom more creative.
Teaching Probability - Episteme Resources
Try a selection of problems from Cambridge University's epiSTEMe project
Introducing CMEP
A selection of resources from the Cambridge Mathematics Education Project
Enriching the Secondary Curriculum
Using NRICH tasks to enrich your students' mathematical experience
Freedom and Constraints in the Classroom
Challenge your students to push the boundaries!
Dotty Grids - an Opportunity for Classroom Exploration
What maths can your students discover on dotty grids?
Statistical Investigations
A chance for students to use statistical skills to answer some interesting questions.
Place Value and Powers
These problems are designed to help students develop an appreciation for the importance of place value and powers.
Working with Directed Numbers
These tasks will support your students' understanding of positive and negative numbers.
Introducing Complex Numbers
These resources are designed to introduce students to complex numbers in an exploratory way.
Working with Mental Images
Challenge your students to develop their visualisation skills by working on these tasks
From Area Into Integration
This collection offers resources for teaching perimeter, area, volume, and finally integration.
Teaching to Reason with Numbers
These classroom resources aim to help students reason with numbers.
Teaching Geometrical Reasoning
These classroom resources aim to help students think about geometrical reasoning.
Data and Statistics
These problems are designed to help Stage 3, 4 and 5 students to handle data and work with statistics.
Exceptional Mathematics - a Research Project
Read about Steve Hewson's research project on exceptional mathematicians.
Patterns in Number Sequences
These problems introduce number sequences and representations, and summation of series.
Developing Systematic Approaches
Teacher resources on working systematically at secondary level