LO To assess your understanding of Pythagoras’ Theorem and Trigonometry RAG Key Words: Sine, Tangent, Cosine, Inverse27-Feb-16 Starter Activity Complete the ‘Heard the Word Grid.’ Are there any key words that you have learnt or have a better understanding of now than you did at the start of this unit of work?

Grade EDCBA/A* Pythagoras’ Theorem and Trigonometry I can solve problems involving square numbers, square roots and cube numbers giving reasons for my answers. I can find the length of the hypotenuse in a right angled triangle using Pythagoras Theorem. I can label the Opposite and Adjacent sides to any given angle. I can find the length of a shorter side in a right angled triangle using Pythagoras Theorem. I can choose which trig ratio to apply to a given problem (Sin, Cos, Tan). I can recognise the difference between problems involving right-angled triangles that require Pythagoras’ theorem, or Trigonometry, to be applied. I can find missing lengths and distances in shapes other than right angled triangles using Pythagoras Theorem. I can use trigonometry (Sin, Cos, Tan) to find a missing angle find one of the shorter sides find the hypotenuse. I can solve 3D Pythagoras problems. I can use Trigonometric Ratios in right- angled triangles to solve 3-D problems. I can calculate the area of a triangle using ½ ab sin C. I can use the sine and cosine rules to solve 2-D and 3-D problems.

Key Words / symbols Never heard before? Heard of but not sure what it means? Know what it means and can explain it in context Jot down your ideas here... Right Angled Triangle Hypotenuse Pythagoras Theorem Formula Trigonometric Ratio Opposite Side Adjacent Side

Grade EGrade D Grade E Explain why is less than 10. ……………………………………… Find the value of (i)the square root of (ii) 5 × (iii)

Grade D For each of the triangles below label the sides adjacent, opposite and hypotenuse. Grade C For each of the triangles above decide which of the Trigonometric Ratios you would use to find the missing side or angle. Grade C Describe the difference between a problem that can be solved using trigonometry and a problem that can be solved using Pythagoras’ Theorem.

Grade C

Grade B A and B are points on a centimetre grid. A is the point (3, 2). B is the point (7, 8). Calculate the distance AB. Give your answer correct to 3 significant figures.

Grade B

Grade A

Grade A/A* The depth, D metres, of the water at the end of a jetty in the afternoon can be modelled by this formula D = A sin 30(t – k)° where t hours is the number of hours after midday, A and k are constants. Yesterday the low tide was at 3 p.m. The depth of water at low tide was 3.5 m. Find the value of A and k.

Grade A/A*

Grade EDCBA Pythagoras’ Theorem and Trigonometry I can solve problems involving square numbers, square roots and cube numbers giving reasons for my answers. I can find the length of the hypotenuse in a right angled triangle using Pythagoras Theorem. I can label the Opposite and Adjacent sides to any given angle. I can find the length of a shorter side in a right angled triangle using Pythagoras Theorem. I can choose which trig ratio to apply to a given problem (Sin, Cos, Tan). I can recognise the difference between problems involving right-angled triangles that require Pythagoras’ theorem, or Trigonometry, to be applied. I can find missing lengths and distances in shapes other than right angled triangles using Pythagoras Theorem. I can use trigonometry (Sin, Cos, Tan) to find a missing angle find one of the shorter sides find the hypotenuse. I can solve 3D Pythagoras problems. I can use Trigonometric Ratios in right- angled triangles to solve 3-D problems. I can calculate the area of a triangle using ½ ab sin C. I can use the sine and cosine rules to solve 2-D and 3-D problems. Use the learning journey above to highlight the mathematical skills that you have now which you didn’t have at the start of the unit of work. How much progress have you made? What can you do to improve your skills as a learner in order to make even better progress?

My teachers probing questionMy answer What I will do to act upon my ‘Even Better If’’ comment StrategyTick the strategy you will use. Complete a mymaths lesson or booster pack Use a revision guide or text book Ask my teacher to explain during a lesson Ask a peer to explain during a lesson Ask someone at home to help Attend a revision session at school Attend homework club Something else (describe your strategy here)