Prism or Pyramid? Which nets make pyramids? Find out. RBKC SMILE 2001

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3 Prism or Pyramid? Which nets make pyramids? Find out. A B D C RBKC SMILE 2001

4 Carefully cut out the following shapes. Angle Fit 20 d a c b The following angle facts might help: Angles on a straight line add up to 180 Angles in a complete turn add up to 360 d = RBKC SMILE 2001 c = b = a = 2. Calculate angles a, b, c and d By looking at the size of the angles, fit them in this rectangle.

5 Silver Earrings A large part of the cost of making jewellery is the metal itself. If this square of sheet silver costs 1 how much would these cost? You may like to invent some more......give the cost of each one. RBKC SMILE 2001

6 Rotational and line symmetry review An activity for two. You will both need a copy of this worksheet. Some shapes have line symmetry Some shapes have rotational symmetry Some shapes have both 1. On your own: Cut out the shapes below. Arrange them in the correct regions on the Venn diagram. 2. Together: Compare your answers. When you have agreed, stick them down. shapes with line symmetry Some shapes have neither 3. Challenge: Draw 4 shapes of your own, one to go in each region. shapes with rotational symmetry RBKC SMILE 2001

7 Cartoon Coordinates Joining the coordinates listed on the left hand side will give the drawing of a bear. Joining the coordinates on the right hand side will give the drawing of a landscape. Bear Draw a grid which goes across to 20 and up to Landscape Draw a grid which goes across to 32 and up to Plot the points and join them with a ruler as you go. Stop at the end of each section. (3, 17) (3, 5) (19, 5) (19, 17) (3, 11) (2, 13) (2, 19) (3, 21) (5, 26) (6, 28) (10, 30) (12, 30) (16, 28) (17, 26) (19, 21) (20, 19) (20, 13) (19, 11) (3, 12) (5, 12) (5, 7) (3, 7) (19, 12) (17, 12) (17, 7) (19, 7) (7, 20) (7, 21) (6, 21) (6, 19) (7, 19) (7, 20) (15, 20) (15, 21) (16, 21) (16, 19) (15, 19) (15, 20) (7, 15) (7, 16) (6, 16) (6, 14) (7, 14) (7, 15) (15, 15) (15, 16) (16, 16) (16, 14) (15, 14) (15, 15) (7, 10) (7, 11) (6, 11) (6, 9) (7, 9) (7, 10) (15, 10) (15, 11) (16, 11) (16, 9) (15, 9) (15, 10) (10, 25) (12, 25) (11, 24) (10, 25) (3, 21) (6, 24) (10, 26) (12, 26) (16, 24) (19, 21) (6, 24) (8, 23) (11, 22.5) (14, 23) (16, 24) (4, 29) (12, 31) (10, 31) (18, 29) Two small circles centred at (9, 25) and (13, 25) (11, 2) (8, 3) (6, 3) (5, 2) (5, 1) (17, 1) (17, 2) (16, 3) (14, 3) (11, 2) (11, 5) (11, 1) (15, 5) (15, 3) (7, 5) (7, 3) (1, 8) (13, 8) (13, 10) (14, 10) (14, 8) (22, 8) (2, 10) (10, 19) (18, 10) (25, 19) (27, 21) (29, 19) (13, 16) (18, 20) (29, 10) (23, 17) (28, 19) (32, 16) (20, 18) (23, 21) (26, 18) (6, 30) (4, 28) (4, 26) (6, 24) (8, 24) (10, 26) (10, 28) (8, 30) (6, 30) (12, 26) (10, 26) (6, 32) (6, 30) (12, 28) (10, 28) (2, 28) (4, 28) (8, 32) (8, 30) (6, 22) (6, 24) (2, 26) (4, 26) (8, 22) (8, 24) (27, 4) (27, 3) (28, 4) (27, 4) (26, 3) (24, 5) (23, 5) (22, 5) (21, 6) (20, 6) (19, 5) (18, 5) (17, 7) (16, 7) (15, 6) (14, 6) (14, 5) (15, 5) (16, 3) (17, 2) (17, 0) (18, 0) (18, 2) (22, 2) (22, 0) (23, 0) (23, 2) (24, 2) (24, 3) (23, 5) You may like to design a cartoon coordinate of your own. RBKC SMILE 2001

8 Changing Grids Example RBKC SMILE 2001

9 Fishing A fishing boat starts at the port (0, 0) and wants to navigate safely to the fishing grounds at (15, 0). The boat must always be more than one square away from any dangerous rock and it must stay on the grid lines. marks the position of dangerous rocks 1. Find the boat s route. 2. Write your answer using co-ordinates (0, 0) (0, 6) (, ) Port Fishing grounds RBKC SMILE 2001

10 page 1 of 2 Pentagons Copy the patterns and continue them. turn over

11 Make a design of your own or copy one of these. RBKC SMILE 2001

12 Straight Lines 1. Find 3 points in a straight line...they must be exactly in line. 2. How many straight lines can you find with exactly 3 points? 3. Make a similar puzzle for a friend. RBKC SMILE 2001

13 80 60 Matching Pairs Some of the scales below have the same readings. Find 4 pairs B 80 C A D E F G H J K The 4 matching pairs are: RBKC SMILE 2001

14 Two Cuts Investigation You will need colour pencils. A square with two cuts make: 2 quadrilaterals and 2 triangles 1 hexagon and 2 right-angled triangles 1. Colour the triangles in green. 2. Colour the quadrilaterals in blue. 3. Colour the hexagon in red. 4. Using two cuts on a square, investigate what shapes you can make. Use different colours to highlight your shapes. A mathematical dictionary will be useful. RBKC SMILE 2001

15 Symmetrical Triangles Four small triangles are shaded line of symmetry to give a symmetrical shape. line of symmetry line of symmetry Create symmetrical triangles by shading four smaller triangles. Draw in the line of symmetry each time. RBKC SMILE 2001

16 Symmetry The dotted lines are lines of symmetry. Use reflection to complete the pictures. page 1 of 2 turn over

17 9 x 2009? RBKC SMILE 2001

18 page 1 of 4 Tangram Arrows Little is known of the origin of the tangram. It is probably very old, but the first mention of it in recorded history was in Chinese books printed about The original Chinese tangram has 7 pieces which fit together to make a square. If two large triangles are taken away the remaining 5 pieces will also form a square. Here is a 5-piece tangram. Cut out the 5 pieces. On the following 3 pages fit the tangram pieces onto the shapes. Draw lines to show how they fit in. Make some tangram shapes of your own. turn over

19 Tangram Arrows A Tangram Arrows Fit your pieces on the shapes. Draw lines to show how they fit.

20 Tangram Arrows B Tangram Arrows Fit your pieces on the shapes. Draw lines to show how they fit. turn over

21 Tangram Arrows C Tangram Arrows Fit your pieces on the shapes. Draw lines to show how they fit. RBKC SMILE 2001

22 Economical Weaving Colour this pattern so that the same colour never crosses itself. Try to use as few colours as possible. Can you do it using only 4 colours? page 1 of 2 turn over

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24 How many colours? You will need coloured pencils. Colour in the shapes below after reading the rules. Rules (a) You may not use the same colour for 2 areas which are next to each other. (b) Use as few colours as possible. This pattern needs only 2 colours. 2 colours How many colours do you need to shade each of these shapes? 1) 2) 3) colours colours colours 4) 5) colours colours 6) 7) colours colours RBKC SMILE 2001

25 How Many Routes? 1) Complete the matrix table for this network. A B C D A B From A to A there are 0 routes. A B From A to D there are 2 routes. D C C D From B to C there is 1 route. 2) Complete the matrix table for this network. 3) Complete the matrix table for this network. D C A B C D E A B C D E A B A B C D A A B B C C D D E Information: From A to A? There are 2 routes. 4) Complete the matrix table for this network. 5) Complete the matrix table for this network. A B C D W X Y Z B D A X W W A C B C Y Z X Y D Z 6) What did you notice about the matrix tables for questions 4 and 5? Explain why. RBKC SMILE 2001