Write your homework in your planners Mymaths: lines and quadrilaterals Due: 16 th April

Triangles in circles  How many different triangles can you make which consist of the centre point and two points on the circumference?  Explain how you know for sure you’ve found all the triangles?  Find the interior angles of all your triangles.  Explain your method. Was it the same for each triangle? Were there any patterns to your answers? If so, what were they and why?  Explain how you started the problem  What were your thought processes?  Use words, diagrams and examples to help you explain  Make sure you have answered the questions below in your write up

Isosceles Triangles on a n-pin Board What if I have a different number of pins in my circle? - How many different triangles can you make now? - What would the angles inside the triangles be?  Start by thinking about a 12-pin circle and answer the questions above.  Now try to generalise, think about different numbers of pin circles. How many isosceles triangles would you be able to draw? Collect your results together in a table. What is the rule?  What about finding the angles inside the isosceles triangles. Think about your methods for the 9-pin and 12-pin circles – what did you do each time? Try to generalise, what would you do for other numbers of pins? Can you write down your method and illustrate it with an example? Can you use the letter n to stand for the number of pins and write down a general method?

Level 4Level 5Level 6Level 7 Develop a strategy for finding the number of triangles that can be made Pick out the important information that will help you solve the problem – for example, the maths you used to work out the interior angles… Break each problem down into smaller steps in order to solve them – for example finding the number of triangles, Explore connections in mathematics across a range of contexts: number, algebra, shape, space and measures, and handling data. Extend the mathematics used to generate more detailed solutions. Search for a solution by trying out different ideas of your own. [Has tried out different ideas with some success] Use words and diagrams to explain the problem and show understanding of what needs to be done Interpret the problem, discuss how to solve it and combine together all the information that you used. Justify generalisations, arguments or solutions. [has presented what they have found clearly – but not necessarily any explanation] Draw a conclusion and give an explanation of your reason Present a concise (to the point), reasoned argument for your answers and how you got to them, using symbols and diagrams to help explain Give reasons for choice of presentation, explaining why you have presented certain parts where they are. Reasoning shows insight into the problems structure. Also use the Literacy Levels in your planners