Which ones are you using?

Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager Real life cross/curricular links? Where are we in our journey? Which ones are you using? PLT Skills LESSON OBJECTIVES Always aim high! We are learning to: • Finding connections between different words. (Which PLT skills?) • Accurately find missing sides in right-angled triangles using Pythagoras’ Theorem. (Grade C) AUTHOR www.mistrymaths.co.uk

Which ones are you using? BRAIN IN GEAR Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills EXAMPLE DITDIONA can be rearranged to make ADDITION TASK Work out the following Mathematical anagrams: Hypotenuse Squared Length EXTENSION Develop your own Mathematical anagrams as above as a creative thinker.

Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager STARTER PLT Skills TASK 2) 3) Value of: 4) Value of: 1) 5) 6) Value of: Value of: Value of: Value of: 2 3 2 4 2 5 3 2 2 3 2 12 2 8 2 6 3 7 9 2 5 2 2 x 2 x 2 8 and -8 7 x 7 12 x 12 4 and -4 11 and -11 = = = = = = 8 49 144 = = = 10) 11) Value of: Value of: 9) Value of: 7) 8) Value of: Value of: - - 0.2 x 0.3 + + . 0 2 x = = = 6 x 6 - 2 x 2 x 2 x 2 8 x 8 - 2 x 2 x 2 x 2 x 2 = = 5 x 5 + 2 x 2 x 2 9 x 9 + 3 x 3 x 3 0 0 0 . 0 0 64 - 32 36 - 16 = 25 + 8 81 + 27 = 3 0 = = 0 0 0 6 . 0 6 32 20 = 33 108 = = = EXTENSION 1) Explain your answer No negative number has a real square root. Imaginary numbers are used when working with negative square roots. =

Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager 25 169 5 9 3 13 4 25 5 16 12 144 PLT Skills PYTHAGORAS’ THEOREM INTRODUCTION What connections can you find above?

Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager Gravestone Inscription PLT Skills PYTHAGORAS’ THEOREM PERIGAL’S DISSECTION Henry Perigal (1801 – 1898)

Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills PYTHAGORAS’ THEOREM Hypotenuse Longest side (opposite the right angle) Shorter side Longest side 1) Square sides 2) Add them 3) Square root Hypotenuse 1) Square sides, 2) Subtract them 3) Square root EXAMPLES ONLY WORKS FOR RIGHT ANGLED TRIANGLES Right angle 1) 2) 25m Hypotenuse Hypotenuse 11cm 7cm 13m Working out the longest side Working out the shorter side

Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills PYTHAGORAS’ THEOREM TASK (GRADE C) 10.8cm (1d.p.) 25.2m (1d.p.) 9.4cm (1d.p.) 5) 1) 2) 3) 4) 43m 21cm 5cm 15cm 19cm 72m 19m 15m 8cm 7cm 4cm 21m 21m 12cm 6cm 18.6m (1d.p.) 8cm 5cm 3cm 11m 14m 9cm 10) 6) 7) 8) 9) 17.2cm (1d.p.) 12.7cm (1d.p.) 68.9m (1d.p.) 38.6m (1d.p.) 17.7cm (1d.p.) EXTENSION (GRADE C) A 5 metre ladder is positioned 3.2 metres away from a vertical building wall. Will the ladder reach a window which is 4 metres from the ground? Show your working.

Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills PYTHAGORAS’ THEOREM MINI-PLENARY 8m 15m Calculate the length of the diagonal in the rectangle above

Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager • LINK BACK TO OBJECTIVES • Accurately find missing sides in right-angled triangles using Pythagoras’ Theorem. What grade are we working at? DISCOVERY PLT Skills

PLENARY ACTIVITY EXAM STYLE QUESTION Area of a triangle = x base x vertical height Area of a triangle = x 24 x 5 13m 5m vertical height 24m base 12m Calculate the area of the triangle above 2 Area of a triangle = 60m

What grade are we working at? Where are we in our journey? What have you learnt? Draw your brain In your brain, write or draw everything you can remember about finding missing sides in right-angled triangles using Pythagoras’ Theorem. It can be a skill or a reflection, or something else that might be prominent in your brain.

Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen SELF ASSESSMENT Enterprise Skills Which ones are you using? Plenary Activity How well do you understand the task? . I fully understand I don’t understand I nearly understand www.mistrymaths.co.uk

Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen SELF ASSESSMENT Enterprise Skills Which ones are you using? Plenary Activity WWW (What Went Well) EBI (Even Better If) On your post it notes… Think about how you can improve your work. www.mistrymaths.co.uk

Which ones are you using?