Senior VCAL Numeracy – Design Investigation 1 KITES
1 VCAL Senior Senior VCAL Numeracy – Design Investigation 1 3 DIMENSIONAL DRAWINGS 1. Redraw the following objects on the isometric dot grid. 2 VCAL Senior 3 Senior VCAL Numeracy – Design Investigation 1 VCAL Senior Senior VCAL Numeracy – Design Investigation 1 2. Draw the front, side and top views of the following objects. An example is given. 4 VCAL Senior Senior VCAL Numeracy – Design Investigation 1 3. The front, side and top views of several objects are shown below. Draw these objects on the isometric dot grid. 5 VCAL Senior Senior VCAL Numeracy – Design Investigation 1 DESIGNING LOGOS Points on the circumference of a circle can be used to make interesting logos. Example 1. Draw a circle. 2. Calculate the angle required to evenly space the construction points on the circumference of the circle. Remember: Degrees = 360 ÷ n (n = number of points) 3. Use a protractor to position the points on the circumference of the circle. 4. Use a ruler and light pencil to join the points on the circle. In this example every third point has been joined. 5. Darken the parts required for the logo. 6. Rub out any remaining construction lines. 6 VCAL Senior Senior VCAL Numeracy – Design Investigation 1 Questions: 1. Choose two of the following hexagonal constructions to make. 2. Choose two of the following octagonal constructions to make. 3. Look at the following logos and answer these two questions. a. How many points are required on the circumference of a circle to construct this logo? b. What regular polygon if formed from joining this number of points? 7 VCAL Senior Senior VCAL Numeracy – Design Investigation 1 4. For each logo in question 3, show all lines of symmetry. 5. For each logo in question 3, state its order of rotational symmetry if it exists. 6. Design your own personal or business logo. State the scale e.g. 1 : 2, etc. 7. Redraw your logo to real life size. KITE SHAPE 8. Using an A4 sheet of paper, make it into a ‘kite’ shape by using only 3 folds. Could you do this without teacher assistance? Explain why / why not. ☐ Teacher to tick when task completed 9. Make seven more kites from sheets of A4 paper. Work out the interior angle of the kite from the way they fit together. Explain how you did this. 10. Make a kite from an A5 sheet of paper (half an A4 sheet). How do the height and width, area and angles of the smaller kite compare the first kite you made? Show any working. 11. Create a design from a number of kites to make a symmetric design with 4 lines of symmetry and rotational symmetry of order 8. Was it possible? Paste the design on a piece of paper. 12. Research and then write at least a paragraph to explain the history of kites. Useful websites (there are many more but here is a start): http://globalkites.wikispaces.com/Kite+Resources http://classroom.kitingusa.com/resources.htm http://www.gombergkites.com/nkm/index 8 VCAL Senior Senior VCAL Numeracy – Design Investigation 1 KITES 13. The diagram shows a Korean fighter kite. a. Draw a scale diagram to work out the length of bamboo needed for one of the diagonals. b. The kite requires 5 pieces of bamboo. What length of bamboo is needed to make this fighter kite? c. What is the area of the kite? 14. Garth is going to make a traditional kite. He knows a kite with a height to width ratio of 6 : 5 is the easiest to fly. He decided to make the height 66 cm. a. What will be the width? b. For stability the kite requires a tail 7 times long as the height. How long will Garth make the tail? c. The bamboo width stick must be placed 3/11 of the distance down the height (distance a). Calculate a for Garth’s kite. d. Draw a scale diagram of the kite. e. What is the area of the kite? 9 VCAL Senior Senior VCAL Numeracy – Design Investigation 1 15. A delta kite flies ‘on top of the wind’. It will fly in a gentle wind. Two triangular surfaces at right angles to each other are used in the construction of a delta kite. This diagram shows a delta kite drawn to scale viewed from the ground. a. What scale has been used in this scale drawing? b. Measure the angles of the kite. c. What type of triangle is the delta kite? d. What is the area of the kite? e. The kite has a triangular keel extending below the main surface of the kite. The keel gives the kite stability. Scale drawing of the keel: Measure the size of the angle θ. f. The keel is attached to the main surface matching A to A’ and D to D’. Show where points B and C are on the main surface. 10 VCAL Senior Senior VCAL Numeracy – Design Investigation 1 16. The sled kite is a basic kite as illustrated. a. The template for the kite is shown below. Draw a scale drawing of the template. NB: Dimension A = 105mm Dimension B = 297mm b. Measure the angles marked. θ α ϕ ϖ c. What length bamboo sticks will be needed for the kite? d. What is the area of the kite? 11 VCAL Senior Senior VCAL Numeracy – Design Investigation 1 17. The box kite was invented by the Australian aviator, Lawrence Hargraves. This kite is in the shape of a square prism. The ideal dimensions of a square box kite are shown in the diagram. a. What is the length of this box kite? b. What is the surface area of the box kite? c. What is the volume of the box kite? To keep the kite rigid, the box on each end needs bracing with two pieces of bamboo, each 35cm long (see bracing diagram). d. To make a box kite, 4 pieces of bamboo are needed for the length. Additional bamboo is required for the bracing. Calculate the total amount of bamboo needed to make this kite. e. Draw a scale diagram of the kite. 12 VCAL Senior Senior VCAL Numeracy – Design Investigation 1 CONSTRUCTION AND FLYING KITES 18. You are to build four kites. You may use the ones listed or find alternative ones (refer to websites listed earlier). 19. You must draw a scale diagram for each kite including all measurements & relevant angles. 20. Once you have made the kites, copy and complete the table after each kite has been flown. 1. 2. 3. 4. type Moderate breeze Strong breeze on of kite difficulty TYPE OF KITE Easy Moderate Hard Horizontal Vertical On an angle 30° 45° 60° 90° Easy Moderate Difficult Comments Landing ground in air string and Angle between Orientati
Launch Wind Light breeze 13 VCAL Senior Senior VCAL Numeracy – Design Investigation 1 CONCLUSION o Which kites did you make? o Which kite flew the best? Explain why. o What did you learn in this investigation? Be specific. o Discuss any difficulties you encountered and how you overcame them. o Any improvements. EXTENSION v Semaphore Flags a. What are Semaphore Flags? Explain. b. Include a diagram to illustrate the flags. c. Make a set of Semaphore Flags. Compose an appropriate message. Practice it and then film the message. 14 VCAL Senior