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http://www.directoryofchoice.co.uk/ Last update: 2011
Lesson plan based on experience of how the 'Isosceles triangles' problem develops in the classroom. This format might be useful to give a feel for the sequence of the learning.
The National Strategies Last update: 2011
Description of problem using the nine-pin circular geoboard. Pupils are asked to find all the 'unique' isosceles triangles with a vertex at the centre of the circle and calculate their angles. Links to teaching notes and worksheet from http://nrich.maths.org.
The National Strategies Last update: 2011
Mathematics problem: Isosceles triangles.
The National Strategies Last update: 2011
Overview of problem in which pupils are given the start of a triangle of terms. Each fraction in the triangle is equal to the sum of the two fractions below it. Pupils are asked to extend the triangle, notice patterns and justify their continuation. Actual problem and teaching notes available at nrich.maths.org.
The National Strategies Last update: 2011
Tabular lesson plan set against each of the mathematical processes for the 'Isosceles triangles' problem. This format is useful to help teachers take specific actions to help pupils focus on a particular sub-strand of the mathematical processes.
The National Strategies Last update: 2011
Overview of problem involving experimenting with an interactivity that shows regular polygons 'rolling' along a horizontal surface and plots graphs related to the motion of a red dot. The aim is to explore and explain how the speed varies when a dot is placed in different positions on the regular polygon: at the centre; on the edge; on a vertex. A card-sorting activity is also available and the idea of using cards and working away from the computer could be…
The National Strategies Last update: 2011
Overview of problem that involves looking for, describing and explaining patterns and relationships in a pyramid of numbers where each of the four cells at the bottom of the pyramid are related by a simple rule to numbers in subsequent rows. What is the number at the vertex of pyramids built in this way and how does it relate to the 'starter' number? Can you explain why you only get multiples of 4 at the top when you start with…
The National Strategies Last update: 2011
This mathematical problem allows learners to draw on their knowledge of a range of mathematics – including area, coordinates and symmetry – to develop key processes and applications. Find out what the problem involves, the benefits of using it in the classroom and the processes it can help learners to develop.
http://www.directoryofchoice.co.uk/ Last update: 2011
Overview of problem about the number of squares in a given size of rectangle. For example, a 2 by 3 rectangle contains eight squares and a 3 by 4 rectangle contains 20 squares. What size rectangles, or rectangle, contain exactly 100 squares? Is there more than one answer? Actual problem and teaching notes available at nrich.maths.org.
The National Strategies Last update: 2011
