Tes Maths: Top investigation ideas

Get secondary students thinking differently about maths with these creative investigations, ideal as an end-of-term or end-of-topic treat

Craig Barton

Maths Investigations,tes Maths,maths,secondary Maths,ks3,ks4,ks5,year 7,year 8,year 9,year 10,year 11,year 12,year 13

Engaging investigation ideas to inspire creative thinking in your classroom

Since the abolition of maths coursework, there is no formal requirement to carry out investigations with your students. However, it is only through investigative work that students of all ages and abilities can start to appreciate the true beauty of the subject. They can hypothesise, be creative, challenge themselves, work with other students and potentially discover things that have never been discovered before.

At our school, we do an investigation with each year group every half term. They may last 20 minutes or five lessons. Here is a selection of the best investigations that the Tes Maths community has to offer.

I really hope you and your students find them useful, enjoyable and stimulating.

Craig Barton, Tes Maths adviser

Creativity in Maths
DaveGale

Creativity in Maths

(29)
For all teachers of maths, this is a guide in booklet form about how you can view Creativity in Maths. What does it mean to be creative and how can you provide opportunities for creativity? There are five puzzles/tasks included in a ready to print format.
Maths Investigations
tafkam

Maths Investigations

(85)
Based on the Science tasks produced in East Sussex, these investigation starter sheets give an introduction to a topic for investigation, with levelled guidance for progressing the investigation and to allow self- and peer-assessment. Targetted at Y7, these may be suitable for several year groups in...
Maths Investigations : Chess Board, Happy Numbers
davecavill

Maths Investigations : Chess Board, Happy Numbers

(58)
A range of mathematical investigathions for KS3 (11-14) Year olds including How many Squares on a Chess board, Happy Numbers, Largest and Smallest Answers, Deciimal Multiplications, Mystic Rose, Vedic Square, Bacteria, Staircases, Types of Number and Tetrahedron Tower
100 Maths Investigations Ideas - 90 page pdf!
andrewchambers

100 Maths Investigations Ideas - 90 page pdf!

(35)
Maths investigations for gifted and talented GCSE and sixth form students. Everything from code breaking to Goldbach's Conjecture, the Riemann Hypothesis, Faster than light time travel, Modelling diseases, Predator-prey models, Game theory, visualising the 4th dimension, war maths, Benford&'s l...
Rich Maths Task 20 - Diagonals of Rectangles
MrBartonMaths

Rich Maths Task 20 - Diagonals of Rectangles

(4)
Have a play around with this task, and please share any questions, extensions, simplifications, modifications, or lines of inquiry in the comment box below. The idea is to collect loads of suggestions that can then be used for effective differentiation. The full set of these tasks, along with additi...
Investigating Circle Theorems with Geogebra
Laura Rees-Hughes

Investigating Circle Theorems with Geogebra

(13)
KS4 Maths activity, using ICT A set of dynamic web-pages and accompanying workbook to guide pupils through the various circle theorems. They can see and manipulate the visualisations and use them to deduce the theorems for themselves. They can then test their understanding on some of the problems. I...
Prison Cells: Number and logic maths investigation
daniquinn

Prison Cells: Number and logic maths investigation

(11)
Group activity. Maths investigation. Pupils work in 4s to get the most points. They can 'buy' a laptop (10 points) to use the interactivity (http://bit.ly/qYd7Ih), a calculator for 5, ask a question for 2 points or have an emergency envelope (with a clue/question) for 1 point.
Pentominoes. Lesson plan, investigation.
NGfLCymru

Pentominoes. Lesson plan, investigation.

(9)
This unit is made up of a number of mini activities. After finding the 12 pentominoes pupils use the shapes in the following activities: Find the symmetry and rotational symmetry of the shapes Investigate which pentominoes will tessellate without being rotated, then which will tessellate when rotate...
Mathemagic. Games. Investigation. KS3 Ages 11-14
maths126

Mathemagic. Games. Investigation. KS3 Ages 11-14

(35)
NEW!! Excel Spreadsheets for the effect Total Disbelief. A collection of mathematical magic tricks for teachers. Particularly suitable for KS3 but also popular with older children. Each trick gives an anecdotal account of the effect being used in the classroom, followed by the explanation and teach...
Holiday Planning Maths Investigation
tafkam

Holiday Planning Maths Investigation

(48)
A good extended structured problem-solving activity based on booking a holiday for a family of four. Includes a resource booklet containing flight, accommodation, car hire and passport prices, and a task sheet setting students task. Suitable for able KS2 pupils and above. Includes differentiation b...