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Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Which ones are you using? Enterprise Skills LESSON OBJECTIVES Always aim high! We are learning to: - Enhance our Mathematical learning skills. (Which Enterprise skills?) - Accurately construct angles bisectors and perpendicular bisectors. (Level 6) Where are we in our journey? AUTHOR www.mistrymaths.co.uk Real life cross/curricular links? Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Enterprise Skills LEARNING JOURNEY Which ones are you using? Positive Thinker Creative Entrepreneur Enterprise Skills Independent Learner Reflective Learner BRAIN IN GEAR Responsible Citizen Team Worker Which ones are you using? EXAMPLE DITDIONA can be rearranged to make ADDITION TASK Work out the following Mathematical anagrams: DEARPERPNICUL Perpendicular RISTEOBC Bisector SOEMSCPAS Compasses EXTENSION Develop your own Mathematical anagrams as above as a creative entrepreneur. Positive Thinker Creative Entrepreneur Enterprise Skills Independent Learner STARTER Reflective Learner TASK 1) Work out: 3 2 (c) (b) 2 (a) 4 = 4 x 4 = 2 x 2 x 2 = 6 and -6 = 16 =8 2)Circle the prime numbers below: 1, 2, 7, 9, 12, 15, 21, 23, 26, 29 Which ones are you using? EXTENSION 1) Write 90 as product of prime factors. 90 10 3)Find the nth term of the sequence: 1, 5, 9, 13, 17, ….. = 4n - 3 4) Work out: (a) 4 x -5 (b) -15 ÷ -3 (c) -5 - 3 = -8 =5 = -20 Team Worker Responsible Citizen 5 9 2 3 3 2 =2x3 x5 2) 42° Alternate angles Positive Thinker Creative Entrepreneur Enterprise Skills PERPENDICULAR BISECTOR Independent Learner Reflective Learner CONSTRUCTION Responsible Citizen Team Worker Which ones are you using? Positive Thinker Creative Entrepreneur Enterprise Skills ANGLE BISECTOR Independent Learner Reflective Learner CONSTRUCTION Responsible Citizen Team Worker Which ones are you using? Positive Thinker Creative Entrepreneur Enterprise Skills Independent Learner Reflective Learner CONSTRUCTION Responsible Citizen Team Worker Which ones are you using? THE PERPENDICULAR FROM A POINT TO A LINE Positive Thinker Creative Entrepreneur Enterprise Skills Independent Learner Reflective Learner Responsible Citizen Team Worker CONSTRUCTIONWhich ones are you using? THE PERPENDICULAR THROUGH A POINT ON A LINE Positive Thinker Creative Entrepreneur Enterprise Skills Independent Learner Reflective Learner CONSTRUCTION Responsible Citizen Team Worker Which ones are you using? TASK (LEVEL 6) 1) Draw a line AB 10cm in length. Using compasses, construct the perpendicular bisector. 2) Draw a line CD of any length. Using compasses, construct the perpendicular bisector of the line. 3) Using a protractor, draw an angle of 80°. Using compasses, construct the angle bisector of this angle. Measure the two angles formed to check they are both 40° 4) Using a protractor, draw and angle of 140°. Using compasses, construct the angle bisector of this angle. Measure the two angles formed to check that they are both 70°. Positive Thinker Creative Entrepreneur Enterprise Skills Independent Learner Reflective Learner CONSTRUCTION Responsible Citizen Which ones are you using? EXTENSION (LEVEL 6) 1)To construct the inscribed circle of a triangle Draw a triangle ABC with sides of any length. Construct the angle bisectors for each of the three angles. The three angle bisectors will meet at a point O in the centre of the triangle. Using O as the centre, draw a circle to touch the three sides of the triangle. Team Worker MINI-PLENARY ACTIVITY – EXAM QUESTION L equidistant from two fixed points. M Positive Thinker Creative Entrepreneur Enterprise Skills Independent Learner DISCOVERY Reflective Learner Responsible Citizen Team Worker Which ones are you using? LINK BACK TO OBJECTIVES - Accurately construct angles bisectors and perpendicular bisectors. What level are we working at? Positive Thinker Creative Entrepreneur Enterprise Skills Independent Learner Reflective Learner CONSTRUCTION Responsible Citizen Team Worker Which ones are you using? PLENARY ACTIVITY Using your enterprise skills, see if you can discover how to draw an equilateral triangle using a ruler and compasses. EQUILATERAL TRIANGLE What have you learnt? Draw your brain In your brain, write or draw everything you can remember about finding angle and perpendicular bisectors. It can be a skill or a reflection, or something else that might be prominent in your brain. Where are we in our journey? What level are we working at? Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Enterprise Skills SELF ASSESSMENT Which ones are you using? Plenary Activity How well do you understand the task? . I don’t understand I nearly understand www.mistrymaths.co.uk I fully understand Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Enterprise Skills SELF ASSESSMENT 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