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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:

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Which ones are you using?

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  1. 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 read and find the average speed from a distance-time graph. (Grade D) AUTHOR www.mistrymaths.co.uk

  2. 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: Speed Gradient Average EXTENSION Develop your own Mathematical anagrams as above as a creative thinker.

  3. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills STARTER TASK Distance = ? kilometres Speed = 13 km/h Time = 3 hours Distance = 130 miles Speed = ? mph Time = 2 hours 1) 2) Distance = 13km/h x 3hours = 65mph = 39km Distance = 48 m Speed = 4m/s Time = ? seconds 3) 48m 60miles 130miles 20km Speed = Speed = Time = Speed = 4m/s 0.25hour 0.5hour 2hours = 12seconds EXTENSION Distance = 20 km Speed = ?km/h Time = 15 minutes Distance = 60 miles Speed = ?mph Time = 30 minutes 2) 1) = = 120mph 80km/h

  4. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills DISTANCE-TIME GRAPHS INTRODUCTION A What connections can you make? Distance B The steeper the line the faster it is C D Time E MATCH THE PICTURES WITH THEIR RESPECTIVE GRAPHS

  5. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills DISTANCE-TIME GRAPHS INTRODUCTION At this speed, how far would I travel in 1 hour? 30 miles At this speed, how far would I travel in 2 hours? 30 x 2 = 60 miles Two lots of 30 minutes in an hour Three lots of 20 minutes in an hour Six lots of 10 minutes in an hour 15 miles At this speed, how far would I travel in 20 minutes? 10 miles What connections can you make with the picture above and the real world? At this speed, how far would I travel in 10 minutes? 5 miles

  6. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills DISTANCE-TIME GRAPHS INTRODUCTION 1) 2) 60 70 If I travel 60 miles in 1 hour. What is my speed in mph? 4) 3) 48 42 If I travel 7 miles in 10 minutes. What is my speed in mph?

  7. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills DISTANCE-TIME GRAPHS INTRODUCTION Click to reveal Click to reveal Click to reveal 1) 2) 3)

  8. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills DISTANCE-TIME GRAPHS INTRODUCTION 45 minutes 8km Distance (km) His speed for the first hour? 10km How long did he stop for? 15mins 15mins How long did it take him to run 40km? 2hours 45mins 30mins 15mins 45mins Time (hours)

  9. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills DISTANCE-TIME GRAPHS EXAMPLE The distance–time graph below represents a car journey from Barnsley to Nottingham, a distance of 50 km, and back again. 20mins (a) What can you say about points B, C and D? (b) What can you say about the journey from D to F?

  10. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills DISTANCE-TIME GRAPHS EXAMPLE The distance–time graph below represents a car journey from Barnsley to Nottingham, a distance of 50 km, and back again. 15km 20mins D-E 50km Represents a stop for 20 minutes 19km 16km 20mins 60mins 20mins 10mins (c) Work out the average speed for each of the five stages of the journey. A-B B-C E-F C-D 20mins = 16km 10mins = 19km 20mins = 15km 60mins = 50km x3 x6 x3 x3 x3 x6 60mins = 48km 60mins = 114km 60mins = 45km 50km/h 48km/h 114km/h 45km/h

  11. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills DISTANCE-TIME GRAPHS TASK (GRADE D) 2) 1) A small bus set off from Leeds to pick up Mike and his family. It then went on to pick up Mike’s parents and grandparents. It then travelled further, dropping them all off at a hotel. The bus then went on a further 10 km to pick up another party and took them back to Leeds. This distance–time graph illustrates the journey. (a) How far from Leeds did Mike’s parents and grandparents live? (b) How far from Leeds is the hotel at which they all stayed? (c) What was the average speed of the bus on its way back to Leeds? Paul was travelling in his car to a meeting. This distance–time graph illustrates his journey. (a) How long after he set off did he i) stop for his break ii) set off after his break iii) get to his meeting place? (b) At what average speed was he travelling: i) over the first hour ii) over the second hour iii) for the last part of his journey? (c) The meeting was scheduled to start at 10.30 am. What is the latest time he should have left home? 2 hours 3 hours 5 hours 30km 40km/h 120km/h 40km 40km/h 100km/h 5.30am

  12. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills DISTANCE-TIME GRAPHS TASK (GRADE D) 4) 3) Azam and Jafar were having a race. The distance–time graph below illustrates the distances covered. Write a commentary to describe the race. James was travelling to Cornwall on his holidays. This distance–time graph illustrates his journey. (a) His greatest speed was on the motorway. i) How far did he travel along the motorway? ii) What was his average speed on the motorway? (b) i) When did he travel most slowly? ii) What was his lowest average speed? 125km 125km/h Between 2-3pm 25km/h

  13. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills DISTANCE-TIME GRAPHS EXTENSION (GRADE D) 1) 2) A walker sets off at 9.00 am from point P to walk along a trail at a steady pace of 6 km per hour. 90 minutes later, a cyclist sets off from P on the same trail at a steady pace of 15 km per hour. At what time did the cyclist overtake the walker? You may use a graph to help you solve this question. Three school friends all set off from school at the same time, 3.45 pm. They all lived 12 km away from the school. The distance–time graph below illustrates their journeys. One of them went by bus, one cycled and one was taken by car. (a) i) Explain how you know that Sue used the bus. ii) Who went by car? (b) At what time did each friend get home? (c) i) When the bus was moving, it covered 2 kilometres in 5 minutes. What is this speed in kilometres per hour? ii) Overall, the bus covered 12 kilometres in 35 minutes. What is this speed in kilometres per hour? iii) How many stops did the bus make before Sue got home? Stopped several times Ravinder Ravinder 3.55pm Michael 4.35pm Sue 4.20pm 24km/h 20.6km/h 5

  14. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager PLT Skills DISTANCE-TIME GRAPHS MINI-PLENARY Click to reveal Click to reveal Click to reveal Write a description of the journey for each of the following graphs below:

  15. Which ones are you using? Team Worker Creative Thinker Effective Participator Independent Enquirer Reflective Learner Self Manager • LINK BACK TO OBJECTIVES • Accurately read and find the average speed from a distance-time graph. What grade are we working at? DISCOVERY PLT Skills

  16. PLENARY ACTIVITY EXAM QUESTION (GRADE D) The graph shows Amy’s progress on a sponsored walk. Stop 19km Stop (a) How many times does Amy stop during her walk? Answer .......................................................................... (1 mark) (b) Between which times does Amy walk the fastest? Explain your answer. Answer ............................................................... Explanation .......................................................................................................................... ................................................................................................................ (2 marks) (c) Bill sponsors Amy for 20 pence per kilometre. Kate sponsors Amy for 30 pence per kilometre. How much should Amy collect altogether from Bill and Kate after her walk? .................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................................... Answer £ ...................... (3 marks) 2 times 11:30 – 12:30 This is where the line is steepest 20p x 19 = £3.80 30p x 19 = £5.70 9.50

  17. 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 reading and finding the average speed from a distance-time graph. It can be a skill or a reflection, or something else that might be prominent in your brain.

  18. 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

  19. 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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