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Number properties and transformations of shape

Number properties and transformations of shape. SCITT Jan 2015. Objectives (students will):. gain a better understanding of the structure and special properties of the number system; be able to teach aspects of 2d shape, including transformations;

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Number properties and transformations of shape

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  1. Number properties and transformations of shape SCITT Jan 2015

  2. Objectives (students will): • gain a better understanding of the structure and special properties of the number system; • be able to teach aspects of 2d shape, including transformations; • understand the relationship between 2d nets and associated 3d solids; • continue work on the mathematics subject audit.

  3. Associated issues for teaching • Developing understanding of the complete number line. • Using number properties to set challenging problems.

  4. Provide an example for each… palindromic Square number factor integer digit consecutive Triangular number fraction decimal real multiple odd irrational even complex imaginary Fibonacci recurring decimal whole rational prime natural square root root digit (or digital root) Mixed number

  5. Note please! • The following words are for your developing subject knowledge… • Not all are appropriate for primary pupils

  6. Complex i Real π Rational 0.5 Integer -2 Whole 0 Natural 3

  7. A Number ‘Schematic’ complex imaginary real irrational rational integer fraction whole integer natural

  8. NC2014 • What are the age-related expectations for your learners for Number? • What ‘number properties’ are mentioned explicitly? • Are any implied?

  9. Properties of Number • Choose a number between 20-100 (inclusive) • Talk about what ‘families’ it belongs to… • What makes it ‘special’?

  10. Prime Numbers • Which numbers between 1 and 30 are prime numbers? • ‘Number Grid ITP’

  11. Prime factors - Year 6 “Find all the prime factors of any number to 100” e.g. the prime factors of 60 are 2,2,3 and 5 because: 60 6 10 3 2 2 5

  12. A Happy Number A happy number… follows the rule: “Add the square of each digit” …creating a number chain that ends in ‘1’

  13. Shape • be able to teach aspects of 2d shape, including transformations; • understand the relationship between 2d nets and associated 3d solids;

  14. Polygons • Poly comes from the Greek word meaning ‘many’; • gon comes from the Greek word for ‘angles’. • A polygon is a flat shape with ‘many angles’. • When we talk about polygons we are talking about shapes with 3 or more straight sides. (Polyhedrons: a solid shape with ‘many faces’)

  15. Triangles • A 3-sided polygon is called a triangle. • Can you sketch them all? • Right angled • Isoceles • Equilateral • Scalene Congruent – shapes which are exactly the same size and shape are called congruent.

  16. Area of a triangle… • ½ b x h 4cm 6cm 5cm 8cm

  17. Glossary Definitions • What vocabulary would you use to define these quadrilaterals: • Parallelogram • Rhombus • Rectangle • Square • Oblong • Kite and inverted kite (delta) • Trapezium How do we compare to www.amathsdictionaryforkids.com ?

  18. 2D challenges Tarsia Jigsaw ITT website: Keith Ws ‘Cutting up quadrilaterals’ Investigate ITP's - Isogrid, Polygon, Area, Coordinates What different shapes can you make by folding A4 paper? Isogrid ‘Dot to Dot’ - use a triangular array of 15 dots to draw different triangles. How many are there? 3D challenges The 12 Pentominoes – Which make the net of an open cube? Nets... what are the minimum number of 'flaps‘ required to secure a cube? Nets Challenge - What 3D closed shapes can you construct using up to 6 squares and 8 equilateral triangles? Building Nets from card – cube, tetrahedron, others… Research: ‘Tangrams’/ ‘Tesselations’/ ‘MC Escher’/ ‘Origami’/ ‘Transformations’/ ‘Platonic Solids’ You will feedback!

  19. Task 3 given out on Day 6 Prepare 15 maths questions with explanation, working at your own level. This will give an indication of your progress with the subject knowledge audit. In your reflection – identify any areas for future study. • WILF OUTCOMES: Access materials to revise/ revisit some identified aspects of subject knowledge, show evidence of research in identified areas

  20. Objectives: Did we…? • gain a better understanding of the structure and special properties of the number system; • be able to teach aspects of 2d shape, including transformations; • understand the relationship between 2d nets and associated 3d solids.

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