1. Themes MDPT

2. mathematical content of the MDPT Organised within four mathematical themes: – infinities; – uncertainties; – structures; – spaces. By organising in themes, rather than naming the subsections in the range and content in the national Curriculum Programme of Study, we will be emphasising connections between different topics in the secondary school mathematics curriculum.

3. Theme 1: Infinities Gaining an understanding of how procedures and techniques used in school mathematics are underpinned by notions of infinity. Understanding some of the history of how rigour needed to be established in order to develop processes such as convergence. Improving competence in calculus techniques and developing fluency in number work, particularly in areas which involve infinite processes.

4. Why might you locate the ideas needed for these questions in ‘Infinities’? Find the difference between 4.61538462 and 4

5. Theme 2: Uncertainties Gaining an understanding of different probability models, with opportunities to use ICT and simulations to model real world phenomena. Contextualising the use of these theories in society’s endeavours to conceptualise and measure risk. Understanding that a set of data that can be represented in various ways.

6. Jasmine is dealing cards from a full pack of cards. She deals four cards to Peter first of all. What is the probability that she deals him two picture cards? In an A level German class the examination marks at the end of term are: 35 52 55 61 96 63 50 58 58 49 61 The value of 96 was thought to be significantly greater than the other values. Would you agree and why?

7. Theme 3: Structures Recognising and using similarities and differences across mathematical topic boundaries. Understanding how knowledge about one area of mathematics may be applied to support learning and problem solving within another area of mathematics. Improving confidence and competence in mathematical reasoning.

9. Theme 4: Spaces Representing and visualising two and three- dimensional situations in a variety of ways. Euclidean geometry of the plane. Modelling in three dimensions, for example, movement or stability of physical structures. Improving competence in calculating with techniques, for example, coordinates, Pythagoras, transformations, measures of 2D and 3D shapes (e.g., trapezia, circles, cones, pyramids and spheres, parallelepipeds).

11. Where does this question fit? Find the equation of the line which is perpendicular to y=2x+8 and goes through the point (2,3). Explain how you found your answer. Which of the themes is this question connected with? Infinities Uncertainties Structures Spaces