GEOMETRY: IDENTIFYING KEY FEATURES OF SHAPE AND SPACE SCITT Day 6 2017 GEOMETRY: IDENTIFYING KEY FEATURES OF SHAPE AND SPACE Resources Shapes 2d 3d Card scissors glue Squared paper Mathematical equipment Articulate cards Mastery booklets OS maps Tarsia jigsaw

Today we will… Associated issues for teaching Explore aspects of position and movement using ICT. Consider the role of a plenary within any lesson structure What do success criteria look like in mathematics? Be aware of the key ideas underpinning the two strands of geometry in EYFS, KS1 and KS2; Explore challenging practical tasks for applying knowledge in shape and space; Look at coordinate representation and use of angle; Be able to teach further aspects of 2D shape, including transformations (translation, rotation, reflection and scaling)

Maths Assignment

Teaching Point “What pupils need most of all for learning about shape and space is lots of practical experience of colouring shapes, cutting them out, folding them, turning them over, rotating them, looking at them in mirrors, fitting them together, making patterns, matching them, sorting them and classifying them. The approach here can be much less structured than in other aspects of the mathematics curriculum.” [Haylock “Maths Explained…” page 274]

You will need:

Interactive Teaching Programs (ITPs)

Polygons Poly comes from the Greek word meaning ‘many’; gon comes from the Greek word for ‘angles’. A polygon is, therefore, 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’)

How do we compare to www.amathsdictionaryforkids.com ? Glossary Definitions Triangle, square, rectangle, oblong, quadrilateral, pentagon, hexagon, octagon, circle, semicircle, cube, cuboid, pyramid, cone, cylinder, prism, sphere, hemisphere, face, edge, vertex/vertices, surface, solid, side, straight, curved, diagram, right-angled, symmetrical, 2-D shape, two-dimensional, 3-D shape, three-dimensional, describe, property What's the same, what's different? How would you define these quadrilaterals: Parallelogram Rhombus Rectangle Square Oblong Kite and inverted kite (delta) Trapezium How do we compare to www.amathsdictionaryforkids.com ?

Sorting What different properties of shape are expected? Use Venn and Carroll Diagrams to sort the shapes on your table…

Triangles A 3-sided polygon is called a triangle. Can you sketch them all? Right angled Isoceles Equilateral Scalene Are there any others…? Congruent Shapes which are exactly the same size and shape Similar Shapes that are proportionally equivalent

Starter - 2 piece tangram Start with a square. Draw a straight line from one corner of the shape to bisect one of the opposite sides. Use this 2-piece tangram to investigate what different 2D shapes you can make by joining the pieces ‘full side’-to- ‘full side’. (No overlapping) How many different shapes can you make? Can you identify their properties?

National Curriculum ‘Geometry’ Two aspects: Properties of shape Position and direction TASK 1 Track progression from [EYFS] Y1 to Y6 Is progression clear? Are there any gaps? Task 2 Focus on the expectations for your year group…? Clear learning points?

How might you assess what your learners already know?

Mastery Read the ‘Big Ideas’ for your year group… What understandings are identified? Do they meet your expectations?

Mastery Consider the examples in your year group. Choose an example to use in a plenary or HOT/ COLD task, how might you scaffold the learning within the lesson to enable success?

Geometry – D Haylock Two aspects: Moving or changing shapes Classifying shapes Fundamental concepts: Transformation Equivalence We ask learners: How are they the same? How are they different? Copy this shape onto a whiteboard… How is your shape compared to mine?

Tetrominoes What different shapes can you make using four squares joined ‘full-side’ to ‘full-side’? Can you sketch them? How many are there? Convince me!

The same but different How are these shapes the same? C D How are these shapes the same? How are they different? A ‘transformation’ that changes a shape into a congruent shape is called a ‘congruence’. That is; a translation, a reflection, a rotation.

Example The shaded triangle is a reflection of the white triangle in the mirror line. Write the coordinates of point A and point B.

Real Life Ordnance Survey Maps e.g. 042 123 14 13 12 11 10 Real Life Ordnance Survey Maps Locate ‘interesting features’… give 6fig coordinates for others to find them. e.g. 042 123 Means X: 04 and 2 ‘tenths’ Y: 12 and 3 ‘tenths’ 04 05 06 07 08

Estimating Angle Makers Draw round a CD twice. Cut out the circles. Find the centre point of each circle by folding. Cut along a radius of each circle. Intersect the circles.

Using a Protractor Can you create Success Criteria to “use a protractor to measure an angle”? (Expectations: to nearest 10° or 5° or 1°) What are the main teaching points? How might you model this? Woodlands Junior – “What’s My Angle?” http://resources.woodlands-junior.kent.sch.uk/maths/shapes/angles.html

MSWLogo Create a set of commands to draw a: fd 100 bk 100 Square rt 90 Rectangle Other regular shapes Block letter of the alphabet A spirograph fd 100 bk 100 rt 90 lt 90 cs seth 0 Repeat ? [fd 30 rt 90] pu / pd (pen up/down) pe / ppt (en erase/paint)

Research: ‘Tangrams’/ ‘Tesselations’/ ‘MC Escher’/ ‘Origami’/ ‘Transformations’/ ‘Platonic Solids’ 2D challenges Tarsia Jigsaw 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? Use the mathematical equipment to accurately draw: equilateral triangle, square, isosceles triangle, hexagon, pentagon…. 3D challenges The 12 Pentominoes – Which make the net of an ‘open cube’? Nets Challenge – choose any 3d shape. Create its net to ‘tightly wrap’ it Nrich - Properties of shape Activities - ‘airnets’; ‘transformations on a pegbd’; ‘a shapely network’; ‘property chart’; ‘making tangrams’ Google – ‘Soma Cube’; ‘Spiral in a square’ Create a glossary that names and defines the properties of 2d/ 3d shapes Online links: http://www.theguardian.com/science/alexs-adventures-in-numberland/2015/aug/10/attack-on-the-pentagon-results-in-discovery-of-new-mathematical-tile You will feedback!

MATHS TASK 5 Prepare 15 maths questions with explanation, working at your own level. This will give an indication of your progress with the subject knowledge audit. Throughout, identify websites and reference materials used In your reflection note key learning points and any areas for future study.