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Millennium Bridge Maths lesson Plan B |
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Year / Class : Y5/6 |
Rotation around a fixed point |
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Mental / Oral Teaching Objectives |
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Resources |
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Mental / Oral Activities Revisit facts about angles around a point or angles on a straight line Start with two angles on a straight line give one angle ask for the other Quickly move on to three angles Give two and ask for the third Use angle flash card to demonstrate more complex combinations from 3 angles. Give one angle; Then say the other two angles are equal One angle is double the other One angle is three times the other angle Less Able Keep to multiples of 10 or close to 10 then adjust. |
Key Vocabulary Angles around a point Degrees Angles on a straight line Estimate Multiply |
Key Questions Estimate what angle x is? Say why. What is the value of x if the other angle is 75 degrees? Angle x is 90 degrees y is double that of z what must angle z be? |
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Main Teaching Objectives Rotate a shape about one of its vertices and use a protractor to measure and draw acute angles to the nearest degree. Read and plot co ordinates in all 4 quadrants |
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Resources Side elevation view of bridge photographs protractors 40 degree template 4 quad acetate sheet template |
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Main Activities Explain that Millennium Bridge rotates through 40 degrees when opening and that the angle between the deck and the arch is fixed at 90 degrees. Using acetate, show that the origin of rotation is 0,0 Plot A at -6,6 and B at 6,6 Join A and B to point of origin: this is your bridge. Rotate line A clockwise 40 degrees and plot new co ordinate. (Use nearest vertices if not exact) Call this A1 and record new co ordinate in prepared grid. Repeat task for A2, A3 and so on until you have returned to original co ordinate Repeat task with B compare the co ordinates what is the pattern? Will this work with a rotation of 80 degrees? Investigate. Encourage individual ideas (anticlockwise, 50 degrees, Change the length of plotted lines) |
Key Questions Can you explain the pattern between A and B? Where do you think A will be after turning 40 degrees? Check Carry out your own investigation, do you have to work out every rotation to find a pattern? |
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Key Vocabulary Rotation Fixed point Vertices Origin Clockwise Co ordinate Anti clockwise |
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Less Able Use 40 degree template |
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Plenary How many rotations of 40 degrees did you make? Is there a pattern between the number of rotations and a complete turn? What would you expect to happen with a repeated rotation of 30 degrees…. 90 degrees etc…..complete chart. |