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 calculate the values of expressions by algebraic substitution. (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: LAIERAVB METR REXIPONESS Variable Term Expression 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) Convert to an decimal and percentage: 1) Work out the volume and surface area of the cuboid below: = 0.85 = 85% 7 5 X 3 3 1 X 7 2) (a) - (b) 10 6 3 2 ÷ X 3 X 7 2cm 15 21 - 7 10 x 2 6 3 = = 4cm 21 8 = 18 20 10 9 7cm = = Volume of a cuboid = l x w x h Volume of a cuboid = 7 x 4 x 2 3) Work out the averages and range for: 1, 5, 5, 9, 10 Volume of a cuboid = 56cm 3 Surface Area = 2lw + 2hw + 2lh Mode = 5 Surface Area = 2 x 7 x 4 + 2 x 2 x 4 + 2 x 7 x 2 Median = 5 Surface Area = 56 + 16 + 28 Mean = = 6 Surface Area = 100cm 2 Range = 10 - 1 = 9 4

Creative Entrepreneur Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker ALGEBRAIC SUBSTITUTION Enterprise Skills Which ones are you using? EXAMPLES Menu Coffee (c) = 10 Tea (t) = 10 Muffin (m) = 4 Flapjack (f) = 2 Juice (j) = 5 Sandwich (s) = 20 Biscuits (b) = 3 Water (w) = 1 What is the value of the following expressions? s – 4 5c 5 + j + b 3m – 5 6t + f 5w + 6 + s + 2t 2( j + 7) 3(b – 1) = 20 - 4 = 16 = 5 x 10 = 50 = 5 + 5 + 3 = 13 = 3 x 4 - 5 = 7 = 6 x 10 + 2 = 62 = 5 x 1 + 6 + 20 + 2 x 10 = 51 = 2 x (5 + 7) = 24 = 3 x (3 – 1) = 6 5

Creative Entrepreneur Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker ALGEBRAIC SUBSTITUTION Enterprise Skills Which ones are you using? TASK 1 (LEVEL 4) – BOARD GAME EASIER 6

Creative Entrepreneur Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker ALGEBRAIC SUBSTITUTION Enterprise Skills Which ones are you using? TASK 2 (LEVEL 4) – BOARD GAME HARDER 7

Creative Entrepreneur Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker ALGEBRAIC SUBSTITUTION Enterprise Skills Which ones are you using? TASK 3 (LEVEL 4) – TOP TRUMPS 8

Creative Entrepreneur Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker ALGEBRAIC SUBSTITUTION Enterprise Skills Which ones are you using? TASK 3 (LEVEL 4) – TOP TRUMPS 9

Creative Entrepreneur Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker ALGEBRAIC SUBSTITUTION Enterprise Skills Which ones are you using? TASK 3 (LEVEL 4) – BOARD GAME HARDER 10

Creative Entrepreneur Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker ALGEBRAIC SUBSTITUTION Enterprise Skills Which ones are you using? TASK 4 (LEVEL 4) – TREASURE HUNT 11

Creative Entrepreneur Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker ALGEBRAIC SUBSTITUTION Enterprise Skills Which ones are you using? TASK 4 (LEVEL 4) – TREASURE HUNT 12

Creative Entrepreneur Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker ALGEBRAIC SUBSTITUTION Enterprise Skills Which ones are you using? TASK 4 (LEVEL 4) – TREASURE HUNT 13

Creative Entrepreneur Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker ALGEBRAIC SUBSTITUTION Enterprise Skills Which ones are you using? TASK 4 (LEVEL 4) – TREASURE HUNT 14

Creative Entrepreneur Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker ALGEBRAIC SUBSTITUTION Enterprise Skills Which ones are you using? TASK 4 (LEVEL 4) – TREASURE HUNT 15

Creative Entrepreneur Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker ALGEBRAIC SUBSTITUTION Enterprise Skills Which ones are you using? TASK 5 (LEVELS 4 - 5) - CODEBREAKER 16

Creative Entrepreneur Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker ALGEBRAIC SUBSTITUTION Enterprise Skills Which ones are you using? TASK 5 (LEVELS 4 - 5) - CODEBREAKER = 2 x 7 - 4 M H = -2 + 6 = 4 = -1 = 0 - 1 C S = 2 - 8 = -6 = 10 Y H = 1 + - 2 A = 16 = 4 x 4 S = 10 = -5 x -2 = -1 = 4 - 12 = -8 = -7 - - 3 = 2(1 – 4) M T C = 4 = -8 ÷ -2 = 9 - - 2 = 11 E = -4 = -6 A E R E = -8 = 8 - 16 = -2 x 2 = -4 = 9 = -3 x -3 = -1(2 x 2) = -4 T A I = 11 = -3 + 14 = -5 + -3 = -8 = 0 = 16 - 16 MY MATHS TEACHER IS ACE 17

Creative Entrepreneur Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker ALGEBRAIC SUBSTITUTION Enterprise Skills Which ones are you using? TASK 6 (LEVELS 4 - 5) - CROSSNUMBER 5 4 9 9 1 6 7 9 6 2 6 8 4 8 8 2 6 8 5 9 1 7 8 7 8 8 3 7 8 1 3 18

Creative Entrepreneur Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker ALGEBRAIC SUBSTITUTION Enterprise Skills Which ones are you using? TASK 7 (LEVELS 4 - 5) – DOT TO DOT = 16 = 28 = 21 Join each question number to its answer. The bold numbers are good starting points. Make sure you answer every question. Lines will only be horizontal or vertical. If you reach a dead end, stop. = 22 = 53 = 41 = 33 = 39 = 30 = 14 = 47 = 50 = 42 = 61 = 44 = 59 = 51 = 16 = 31 = 49 = 2 = 23 = 12 = 25 = 48 = 9 = 18 = 17 = 10 = 56 = 15 = 55 = 46 = 27 = 36 = 35 = 45 = 42 = 54 = 11 = 13 = 62 = 32 = 20 = 59 = 57 = 10 = 52 = 3 = 19 = 29 = 7 = 17 = 62 = 6 = 64 = 24 19

Creative Entrepreneur Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker ALGEBRAIC SUBSTITUTION Enterprise Skills Which ones are you using? TASK 7 (LEVELS 4 - 5) – DOT TO DOT 20

Creative Entrepreneur Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker ALGEBRAIC SUBSTITUTION Enterprise Skills Which ones are you using? EXTENSION (LEVEL 6) DOT TO DOT Use the formulae to work out the required values. Join the question number to its answer and start on 13. After jumps, you may find it helpful to circle your new starting point so you don’t get lost. = 38 = 32 = 20 = 3 = 39 = 43 = 42 = 25 = 5 = 33 = 48 = 23 = 45 = 31 = 36 = 9 = 7 = 46 = 44 = 22 = 40 = 27 = 49 = 11 = 1 = 16 = 24 = 18 = 14 = 34 = 19 = 28 = 30 = 29 = 21 = 1 = 15 = 2 = 26 = 35 21

Creative Entrepreneur Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker ALGEBRAIC SUBSTITUTION Enterprise Skills Which ones are you using? EXTENSION (LEVEL 6) DOT TO DOT 22

MINI-PLENARY - CATCHPHRASE a + c + e 6c e + d abc b - c 10a - c ad + e bd de a = 2 b = -3 40 + d ab + e ac + cd ac + 8 5a + c c = 5 d = -4 7e - e a - b 5b e = 1 c - a c + e - d de + a cd d + 4 23

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 calculate the values of expressions by algebraic substitution. What level are we working at? 24

Creative Entrepreneur Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker ALGEBRAIC SUBSTITUTION Enterprise Skills Which ones are you using? PLENARY ACTIVITY T H S E R M A U B 25

a = 5 b = 4 c = 3 d = 0 e = -2 A C E B D F H J G I K M O L N P R T Q S U W Y V X

a = 5 b = 4 c = 3 d = 0 e = -2 Find the value of: 2a 10

a = 5 b = 4 c = 3 d = 0 e = -2 Find the value of: 6c 18

a = 5 b = 4 c = 3 d = 0 e = -2 Find the value of: 9e -18

a = 5 b = 4 c = 3 d = 0 e = -2 Find the value of: 9d

a = 5 b = 4 c = 3 d = 0 e = -2 Find the value of: 10e -20

a = 5 b = 4 c = 3 d = 0 e = -2 Find the value of: a + b 9

a = 5 b = 4 c = 3 d = 0 e = -2 Find the value of: c + e 1

a = 5 b = 4 c = 3 d = 0 e = -2 Find the value of: c - a -2

a = 5 b = 4 c = 3 d = 0 e = -2 Find the value of: e + c 1

a = 5 b = 4 c = 3 d = 0 e = -2 Find the value of: e - b -6

a = 5 b = 4 c = 3 d = 0 e = -2 Find the value of: 2a + 3b 22

a = 5 b = 4 c = 3 d = 0 e = -2 Find the value of: 3c – 4d 9

a = 5 b = 4 c = 3 d = 0 e = -2 Find the value of: 4d – 2c -6

a = 5 b = 4 c = 3 d = 0 e = -2 Find the value of: 3e + 3a

a = 5 b = 4 c = 3 d = 0 e = -2 Find the value of: 4a – 2e 24

Find the value of: 2a + 3b - e c = 3 d = 0 e = -2 Find the value of: 2a + 3b - e 24

Find the value of: 3a + 5c – 9d b = 4 c = 3 d = 0 e = -2 Find the value of: 3a + 5c – 9d 30

Find the value of: 5c + 2e + b 15

Find the value of: 6a – 4b – 3c 5

Find the value of: e + e - b c = 3 d = 0 e = -2 Find the value of: e + e - b -8

a = 5 b = 4 c = 3 d = 0 e = -2 Find the value of: a 2 25

a = 5 b = 4 c = 3 d = 0 e = -2 Find the value of: c 2 9

a = 5 b = 4 c = 3 d = 0 e = -2 Find the value of: d 2

a = 5 b = 4 c = 3 d = 0 e = -2 Find the value of: b 2 16

a = 5 b = 4 c = 3 d = 0 e = -2 Find the value of: c 3 27

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 calculating the values of expressions by algebraic substitution. 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