Which ones are you using?

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Presentation transcript:

Which ones are you using? Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Which ones are you using? Enterprise Skills LESSON OBJECTIVES We are learning to: Enhance our Mathematical learning skills. (Which Enterprise skills?) Accurately reflect objects in different mirror lines. (Levels 4-6) Always aim high! Where are we in our journey? Real life cross/curricular links? AUTHOR www.mistrymaths.co.uk

Creative Entrepreneur Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker LEARNING JOURNEY Enterprise Skills Which ones are you using? 2

Creative Entrepreneur Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker BRAIN IN GEAR Enterprise Skills Which ones are you using? EXAMPLE DITDIONA can be rearranged to make ADDITION TASK Work out the following Mathematical anagrams: NQTUIEDISTA BTEOCJ GEIMA Equidistant Object Image EXTENSION Develop your own Mathematical anagrams as above as a creative entrepreneur. 3

Creative Entrepreneur Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker STARTER Enterprise Skills Which ones are you using? TASK EXTENSION 1) Simplify: 6b - 8c – 2b + 5c 1) Work out without a calculator: 6.4 x 8.7 = 4b - 3c 2) = 8.4 (a) Round 8.42 to 1d.p Round 17.367 to 2d.p = 17.37 (b) 6 4 x 3) Value of 7d - 5 when d = -2 = 7 x -2 - 5 = -14 - 5 = -19 Replace d with -2 8 2 1 4 3 4) 3 . 2 6 + 1 4 . 9 5) 3 2 . 6 - 1 5 . 7 3 1 1 5 1 5 2 1 8 1 2 4 7 1 8 . 1 6 1 6 . 8 7 5 2 8 6) 1 5 2 Answer = 1052 6 8 7 7 3 6 4 3 1 7) Expand and simplify: 7(y - 3) - 2 = 7y - 21 - 2 ANSWER = 55.68 = 7y - 23 4

Creative Entrepreneur Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Enterprise Skills REFLECTIONS Which ones are you using? EXAMPLES 1) 2) x x x x Object x x Object Image x x x x x x x x Image x x Reflect the shape in the mirror line. Reflect the shape in the mirror line. 5

Creative Entrepreneur Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Enterprise Skills REFLECTIONS Which ones are you using? TASK 1 (LEVEL 4) Reflect the shapes in the mirror lines given below: 6

Creative Entrepreneur Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Enterprise Skills REFLECTIONS Which ones are you using? TASK 2 (LEVEL 4) Reflect the shapes in the mirror lines given below: 7

Creative Entrepreneur Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Enterprise Skills REFLECTIONS Which ones are you using? TASK 3 (LEVEL 4) Reflect the shapes in the mirror lines given below: 8

Creative Entrepreneur Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Enterprise Skills REFLECTIONS Which ones are you using? TASK 4 (LEVEL 4) Reflect the shapes in the mirror lines given below: 9

Creative Entrepreneur Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Enterprise Skills REFLECTIONS Which ones are you using? TASK 5 (LEVEL 4) Reflect the shapes in the mirror lines given below: 10

Creative Entrepreneur Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Enterprise Skills REFLECTIONS Which ones are you using? TASK 6 (LEVEL 4) 11

Creative Entrepreneur Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Enterprise Skills REFLECTIONS Which ones are you using? EXTENSION 1 (LEVEL 5) Reflect the shapes in the mirror lines given below: \ \ 12

Creative Entrepreneur Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Enterprise Skills REFLECTIONS Which ones are you using? EXAMPLES y = 2 x = -1 3) y 4) x x y x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x Reflect the shape in the line x = -1 Reflect the shape in the line y = 2 13

Creative Entrepreneur Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Enterprise Skills REFLECTIONS Which ones are you using? y = 1 TASK 7 (LEVEL 5) 1) x = -1 y 2) y x x Reflect in the line x = -1 Reflect in the line y = 1 y = -1 x = 2 3) y 4) y x x Reflect in the line x = 2 Reflect in the line y = -1 14

Creative Entrepreneur Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Enterprise Skills REFLECTIONS Which ones are you using? y = 0 TASK 8 (LEVEL 5) 1) y x = 0 y 2) x x y = x Reflect in the line y = 0 y = -x Reflect in the line x = 0 3) y 4) y x x Reflect in the line y = x Reflect in the line y = -x 15

Creative Entrepreneur Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Enterprise Skills REFLECTIONS Which ones are you using? EXTENSION 2 (LEVEL 5) 1) 2) Reflect the shape made by the co-ordinates (1,-1), (4,0), (4,-4) in the x-axis. Reflect the shape made by the co-ordinates (-3,-5), (-4,0), (-2,-1), (0,-4) in y = -1. x-axis y y y = -1 x x x x x x x x x 16

Creative Entrepreneur Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Enterprise Skills REFLECTIONS Which ones are you using? EXTENSION 2 (LEVEL 5) 3) 4) Reflect the shape made by the co-ordinates (2,2), (2,5), (3,2) in the line x = 3. Reflect the shape made by the co-ordinates (-3,-1), (-3,2), (-1,3), (1,1) in the line x = -1. y y x = 3 x = -1 x x x x x x x x x 17

Creative Entrepreneur Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Enterprise Skills REFLECTIONS Which ones are you using? y = 3 EXAMPLES 5) y 6) y y = x A A B x x B Describe the transformation that maps A to B Describe the transformation that maps A to B A reflection in the line y = 3 A reflection in the line y = x 18

REFLECTIONS Enterprise Skills Which ones are you using? Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Enterprise Skills REFLECTIONS Which ones are you using? TASK 9 (LEVEL 6) y = 2 1) y y x = 1 2) Describe the transformation Describe the transformation x x Reflection in the line x = 1 Reflection in the line y = 2 y = x y = -x 3) y 4) y Describe the transformation Describe the transformation x x Reflection in the line y = x Reflection in the line y = -x 19

Creative Entrepreneur Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Enterprise Skills REFLECTIONS Which ones are you using? EXTENSION 3 (LEVEL 5) 1) Draw a grid running from -6 to +6 in the y direction, and -10 to 10 in the x direction. Plot the following shapes on your grid, joining up the points in order to spell a word.   Shape A: (0,1), (0,3), (0,2), (1,2), (1,3), (1,1) Shape B: (3,1), (2,1), (2,2), (3,2), (2,2), (2,3), (3,3) Shape C: (4,3), (4,1), (5,1) Shape D: (6,3), (6,1), (7,1) Shape E: (8,1), (8,3), (9,3), (9,1), (8,1) Draw a line from (0, -1) to (10, -1). Use this as a mirror line and reflect all of the message. What do you notice about the letters? Draw a line from (0,-6) to (0,6). Use this as a mirror line to reflect both the messages again. What do you notice about the letters? Plot your name on a set of axis and reflect it using the same lines as above. What happens if you reflect your name in the same line twice? 20

Creative Entrepreneur MINI-PLENARY – ASSESSING UNDERSTANDING Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Enterprise Skills REFLECTIONS Which ones are you using? MINI-PLENARY – ASSESSING UNDERSTANDING A student has reflected the patterns as shown below. Are the reflections correct and what advice would you give them to help them? 21

Creative Entrepreneur Positive Thinker Creative Entrepreneur DISCOVERY Independent Learner Reflective Learner Responsible Citizen Team Worker Enterprise Skills Which ones are you using? LINK BACK TO OBJECTIVES Accurately reflect objects in different mirror lines. What level are we working at? 22

Creative Entrepreneur Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Enterprise Skills REFLECTIONS Which ones are you using? PLENARY ACTIVITY Which letters of these road signs have lines of symmetry? 23

Where are we in our journey? What level are we working at? What have you learnt? Draw your brain In your brain, write or draw everything you can remember about reflecting objects in different mirror lines. 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?

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

Creative Entrepreneur Positive Thinker Creative Entrepreneur SELF ASSESSMENT Independent Learner Reflective Learner Responsible Citizen Team Worker 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

Creative Entrepreneur Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Enterprise Skills REFLECTIONS Which ones are you using? TASK 1 (LEVEL 4) Reflect the shapes in the mirror lines given below: 27

Creative Entrepreneur Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Enterprise Skills REFLECTIONS Which ones are you using? TASK 2 (LEVEL 4) Reflect the shapes in the mirror lines given below: 28

Creative Entrepreneur Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Enterprise Skills REFLECTIONS Which ones are you using? TASK 3 (LEVEL 4) Reflect the shapes in the mirror lines given below: 29

Creative Entrepreneur Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Enterprise Skills REFLECTIONS Which ones are you using? TASK 4 (LEVEL 4) Reflect the shapes in the mirror lines given below: 30

Creative Entrepreneur Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Enterprise Skills REFLECTIONS Which ones are you using? TASK 5 (LEVEL 4) Reflect the shapes in the mirror lines given below: 31

Creative Entrepreneur Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Enterprise Skills REFLECTIONS Which ones are you using? TASK 6 (LEVEL 4) 32

Creative Entrepreneur Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Enterprise Skills REFLECTIONS Which ones are you using? TASK 7 (LEVEL 5) 1) y 2) y x x Reflect in the line x = -1 Reflect in the line y = 1 3) y 4) y x x Reflect in the line x = 2 Reflect in the line y = -1 33

Creative Entrepreneur Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Enterprise Skills REFLECTIONS Which ones are you using? TASK 8 (LEVEL 5) 1) y y 2) x x Reflect in the line y = 0 Reflect in the line x = 0 3) y 4) y x x Reflect in the line y = x Reflect in the line y = -x 34

Creative Entrepreneur Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Enterprise Skills REFLECTIONS Which ones are you using? EXTENSION 1 (LEVEL 5) Reflect the shapes in the mirror lines given below: 35