It’s Angular (2) Right Angled Triangle This is the second in a series of activities to relate the theory of geometric shape to the design of BLOODHOUND SSC to pupils to pupils aged 9-14. When designing BLOODHOUND SSC every line, curve and shape has a job to do in order for this incredible machine to break the World land Speed record and attain 1,000 mph. Learning Objectives To understand that right angled triangles when used in construction design, form strong, aerodynamic, directional shapes Programme of Study at Key Stage 2 This is a Mathematics activity including strong links to English, Science and D&T to view click here Differentiation All children to be able to draw a right angled triangle Most children to be able to draw a right-angled triangle and to recount the rules governing such triangles Some children will be able to draw a right-angled triangle and describe its special qualities, regular shape and the application of Pythagoras’ Theorem.. Resources 300 m ruler Sharp pencil Protractor Thick card Scissors Paper glue Sticky tape Internal Angle Vertex External Angle Vocabulary Right Angle Sides Hypotenuse Click on hyperlinks to view added information, film, content and returns Apex Degrees It’s Angular (2) Right Angled Triangle Geometric Discussion 1. 2. 3. 4. 5. A right-angled triangle has three sides of variable length. The sum of the internal angles of a triangle equal 180°. The angle opposite the hypotenuse is 90° The hypotenuse is the side opposite the right angle of the triangle. A right-angled triangle has one vertex from the mid of the right angle to the centre of the hypotenuse. 6. Try drawing a right angled triangle using a ruler and a protractor. Remember that the angle B, marked in blue is a right angle. 7. Label the side that forms the hypotenuse. 8. Two and a half thousand years ago a very clever man with a long beard named Pythagoras developed his theory about right angled triangles. Click on hyperlinks to view added information, film, content and returns It’s Angular (2) Right Angled Triangle 9. He stated that if you draw, using our example, a square on the sides A-B and B-C you will be able to work out the length of side A-C. Clever? You try it! 10. So what is the length, X of Side A-C? Well 60 x 60 = 3,600 and 40 X 40 = 1,600. Add them together and you get 5,200 mm2. 11. This means that the square on hypotenuse A-C is 5,200 mm2. The length X is therefore the square root of 5,200 mm2 ( ) 12. The answer is ... well work it out in your head or with a calculator. Using my seven times table I know that the answer will be roughly 70. How did I do that? Why not discuss this as a class? Now what does this have to do with BLOODHOUND SSC? Well, Ron Ayers and his team of designers have used a right angle shape for the tail fin of the car. Why? Look at the front edge of the tail. Click on hyperlinks to view added information, film, content and returns It’s Angular (2) Right Angled Triangle 13. The front edge of the tail is the hypotenuse of a right angled triangle. 14. In fact if you extend the hypotenuse A-C you will find that it bisects the centre of the car approximately one third along the length of the car. The reasons for this are complex, but enough to say that this is the most stable arrangement. What Went Well? Did you find drawing the triangle easy? Did you have the right tools to do the job? Did you find it easy to work out length X? Do you understand the way that triangles can be used to design machines? Would you like to make a BLOODHOUND SSC tailfin? Click here Click on hyperlinks to view added information, film, content and returns It’s Angular (2) Right Angled Triangle BLOODHOUND SSC Tailfin Template Cut out and glue together Cut out and glue together Cut out and glue together To return to Geometric Discussion click here Click on hyperlinks to view added information, film, content and returns It’s Angular (2) Right Angled Triangle Discovery sheet Aim: To construct BLOODHOUND S.S.C. Tailfin. Two sheets of 160g-1m card Paper glue, Pritt Stick type. 300mm ruler BLOODHOUND SSC Tailfin Template What you plan to do: What did you find easy to do and what was difficult to do? What would you change if you repeated the construction of the tailfin? Conclusion Explain what happened and say What Went Well in making your BLOODHOUND SSC Tailfin Click on hyperlinks to view added information, film, content and returns It’s Angular (2) Right Angled Triangle Programme of study at Key Stage 2 D&T Developing planning and communicating ideas Working with tools, equipment, materials and components to make quality products Evaluating processes and products Knowledge and understanding of materials & components Breadth of Study Mathematics Using and applying shape, space and measures Communication Reason Properties of shapes Measures Science Sc1 2a, 2b, 2c, 2d, 2e, 2f 3a, 3b, 3c 4a, 4b, 4c 5a, 5b, 5c 1a, 1b, 1c, 1d 1e, 1f, 1g 1h 2a, 2b, 2c, 2d 4a, 4b, 4c Ideas and Evidence in Science Investigative Skills Obtaining & Presenting Evidence Considering Evidence Forces & Motion Knowledge, skills and understanding Communication Ideas and Evidence in Science Investigative Skills Obtaining & Presenting Evidence Considering Evidence 1a, 1b. 2a, 2b, 2c, 2d 2e, 2f, 2g, 2h. 2i, 2j, 2k, 2l, 2m. 2a, 2b, 2c, 2d, 2e. 1a, 1b, 1c, 1d. 2a, 2b. 1a, 1b. 2a, 2b, 2c, 2d 2e, 2f, 2g, 2h. 2i, 2j, 2k, 2l, 2m. En1 Speaking & Listening 1a, 1b, 1d En3 Composition 1a, 1e Sc4 Breadth of Study Sc1 English 1a, 1b, 1c, To return to Differentiation click here Click on hyperlinks to view added information, film, content and returns
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