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Which ones are you using?

Creative Entrepreneur. Independent Learner. Reflective Learner. Responsible Citizen. Positive Thinker. Team Worker. Real life cross/curricular links?. Where are we in our journey?. Which ones are you using?. Enterprise Skills. LESSON OBJECTIVES. Always aim high!. We are learning to:

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Which ones are you using?

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  1. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker Real life cross/curricular links? Where are we in our journey? 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 interpret and draw real life graphs. (Level 6) AUTHOR www.mistrymaths.co.uk

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

  3. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker 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: Gradient Horizontal Vertical EXTENSION Develop your own Mathematical anagrams as above as a creative entrepreneur.

  4. Team Worker Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen STARTER Enterprise Skills Which ones are you using? TASK EXTENSION 1) Simplify: 7a - 5b – 9a + 8b 1) Work out the volume and surface area of the cuboid below: x - 18 4 4 9 3 2 2 -2a = + 3b 8 35 4 35 32 8 16 35 5 7 6 X 5 X 7 2) (b) (a) + ÷ X 7 X 5 14 10 1cm = = = 4cm = = 6cm 3) Fill in the blanks below: Volume of a cuboid = l x w x h 4.5 Volume of a cuboid = 6 x 4 x 1 1 gallon ≈ …… litres 2.5 1 inch ≈ …… cm 2) Expand and simplify: 3 Volume of a cuboid = 24cm 1.6 1 mile ≈ …… km 3 6 8(y - 6) - 3 2.2 1 kilogram ≈ …… pounds = 8y - 48 - 3 4) 8y - 51 = Value of 9e - 6 when e = 5 = 39 = 9 x 5 - 6 Replace e with 5

  5. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker REAL LIFE GRAPHS Enterprise Skills Which ones are you using? INTRODUCTION What does this graph show? Distance Stationary (not moving) Time

  6. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker REAL LIFE GRAPHS Enterprise Skills Which ones are you using? INTRODUCTION What does this graph show? Steady speed Distance Time

  7. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker REAL LIFE GRAPHS Enterprise Skills Which ones are you using? INTRODUCTION Compare the other two graphs to the first one. Fast speed Steady speed Distance Slow speed Time

  8. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker REAL LIFE GRAPHS Enterprise Skills Which ones are you using? INTRODUCTION What does this graph show? Acceleration Distance Time

  9. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker REAL LIFE GRAPHS Enterprise Skills Which ones are you using? INTRODUCTION What does this graph show? Steady speed moving further away Distance Steady speed moving away Stationary Time

  10. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker REAL LIFE GRAPHS Enterprise Skills Which ones are you using? INTRODUCTION What does this graph show? Distance Steady speed moving away Steady speed coming back Stationary Time

  11. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker REAL LIFE GRAPHS Enterprise Skills Which ones are you using? INTRODUCTION What does this graph show? Slower steady speed moving away Distance Steady speed moving away Stationary Time

  12. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker REAL LIFE GRAPHS Enterprise Skills Which ones are you using? TASK 1 (LEVEL 6) Match each graph with it’s statement. Graph C Graph B Graph A Graph E Graph D Graph F

  13. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker REAL LIFE GRAPHS Enterprise Skills Which ones are you using? EXTENSION 1(a) (LEVEL 6) Match each graph with it’s statement. Graph B Graph A Graph D Graph C

  14. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker REAL LIFE GRAPHS Enterprise Skills Which ones are you using? EXTENSION 1(b) (LEVEL 6) Match each graph with it’s statement.

  15. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker REAL LIFE GRAPHS Enterprise Skills Which ones are you using? EXTENSION 1(c) (LEVEL 6) – CARD SORT

  16. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker REAL LIFE GRAPHS Enterprise Skills Which ones are you using? EXAMPLE The graph below shows the variation in the depth of water as Earnest takes his early morning bath. Match the different parts of the graph to the statements shown. (e) (f) (d) (b) (c) (g) (a) Gets into bath Relaxes in bath Gets out of bath Cold tap turned off, gets undressed Hot and cold taps turned on Pulls the plug Turns off hot tap

  17. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker REAL LIFE GRAPHS Enterprise Skills Which ones are you using? TASK 2 (LEVEL 6) A test tube containing a chemical liquid is used in an experiment. During the experiment the depth d of the liquid changes with time t. Match the different parts of the graph to the statements below. (b) (a) (e) (d) (c) Some liquid is poured out quickly The test tube is emptied The level of the liquid remains constant Liquid is added slowly to the test tube Some liquid is poured in quite quickly

  18. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker REAL LIFE GRAPHS Enterprise Skills Which ones are you using? TASK 3 (LEVEL 6) 1) Write a story explaining the journey from London to Paris and back.

  19. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker REAL LIFE GRAPHS Enterprise Skills Which ones are you using? TASK 3 (LEVEL 6) 2) In pairs, create a story about this graph to explain what is happening.

  20. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker REAL LIFE GRAPHS Enterprise Skills Which ones are you using? TASK 4 (LEVEL 6) 1) 2) 15g 60m 9.5 secs 6g 110m 10 seconds Not being eaten No distance covered in 0 secs

  21. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker REAL LIFE GRAPHS Enterprise Skills Which ones are you using? EXTENSION 2 (LEVEL 6) 1) Create your own real life graph by labelling each part and the axes. 2) Write a commentary about what your graph shows. 3) How would you calculate the average speed from your graph?

  22. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker d d d d t t t t REAL LIFE GRAPHS Enterprise Skills Which ones are you using? MINI-PLENARY – ASSESSING UNDERSTANDING Water is poured into each of the containers below at a constant rate. The graphs show how the depth (d) of the water varies with time (t). Match the containers to their corresponding graphs.

  23. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker • LINK BACK TO OBJECTIVES • Accurately interpret and draw real life graphs. What level are we working at? DISCOVERY Enterprise Skills Which ones are you using?

  24. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker REAL LIFE GRAPHS Enterprise Skills Which ones are you using? PLENARY ACTIVITY 1 - MATCHING Match the graphs with their respective descriptions.

  25. Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Positive Thinker Team Worker REAL LIFE GRAPHS Enterprise Skills Which ones are you using? PLENARY ACTIVITY 2 I set off from home to pick up a dog from the vet. I travelled for 1.5 hours at an average speed of 60km/h. It took me 30 minutes to get the dog settled into my car. I then travelled back home at an average speed of 40km/h as I did not want to jolt the dog. Draw a distance-time graph of the journey. 90km ÷ 40km/h = 2.25hours 100 80 Distance from home (km) 60 40 20 Time (hours) 0 4 1 2 5 3

  26. What level 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 drawing real life graphs. It can be a skill or a reflection, or something else that might be prominent in your brain.

  27. 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

  28. 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

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