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Trig – So far we have... July 2011

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Subject Content = Covered

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We are working on applications Multistep and practical problems 3 Dimensional problems Setting out the steps in a logical and clear manner, which may include drawing triangles Remember: Similar triangles, angles in a triangle add to 180 degrees and SOH-CAH-TOA and Pythag is ONLY for RIGHT ANGLE triangles!

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Key Tips from studyit Check that your calculator is in "degree" mode at the start of the exam. If your calculator is in the wrong mode, you will get the wrong answers even if you do the correct working. If using a Graphics Calculator make sure you are in DEG mode. SETUP (SHIFT MENU) Scroll down to ‘Angle’ and check it says ‘Deg’. If not push F1 (Deg). Use appropriate rounding and units. Round lengths using significant figures, for example, 'The distance is 360 metres (2sf).' Round angle measurements to 1 decimal place unless told otherwise, for example, ‘The angle is 56.7 degrees (1dp).’ Do not round until the final step in your answer as this affects the accuracy of your answer. Check that your answer makes sense in the context of the question. If not, check your working and method. Show working to back up the steps you take to come to a solution. Ensure you know how to use measuring equipment such as a measuring tape, protractor, and clinometer. protractorclinometer

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Pythagoras c 2 = a 2 + b 2 where c is the hypotenuse = the longest side

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SOH-CAH-TOA We talked about similar triangles = same angles = scale factor

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3D Problems

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SOH-CAH-TOA

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Pythagoras c 2 = a 2 + b 2 so c = (a 2 + b 2 )^0.5 a 2 = c 2 - b 2 so a = (c 2 - b 2 )^0.5 b 2 = c 2 - a 2 so b = (c 2 - a 2 )^0.5

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How to label a triangle H = Hypotenuse, which is always opposite the right angle and always the longest side. It does not move, Pythag: H 2 = O 2 + A 2 O = opposite which is the side opposite the angle we are interested in. A = Adjacent which lies between the right angle and the angle we are interested in.

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Which formulae do I use? Pythag or SOH-CAH-TOA

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Which Formulae ?

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Practical measurement Using a Clinometer

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3D Problem Solving

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Today: Algebra recap solve for x ax 2 + bx + c = 0 Working on problems in the text book and work book. One group at a time measuring the classroom as per yesterday.

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solve for x ax 2 + bx + c = 0

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The Quadratic Formulae Proof

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Quad Formula from http://users.rcn.com/mwhitney.massed/quadratic_formula_proof.html Ms Allan’s Wiki: http://2011maths.wikispaces.com/ NCEA+Level+1+Trig http://users.rcn.com/mwhitney.massed/quadratic_formula_proof.html

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