Creative Thinker Effective Participator Independent Enquirer Reflective Learner

Creative Thinker Effective Participator Independent Enquirer Reflective Learner PLT Skills LESSON OBJECTIVES Self Manager Team Worker Which ones are you using? 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) Where are we in our journey? AUTHOR www. mistrymaths. co. uk Real life cross/curricular links?

Creative Thinker Effective Participator PLT Skills Independent Enquirer Reflective Learner BRAIN IN GEAR Self Manager Team Worker Which ones are you using? EXAMPLE DITDIONA can be rearranged to make ADDITION TASK Work out the following Mathematical anagrams: DEEPS Speed RATGIEND Gradient VEERAAG Average EXTENSION Develop your own Mathematical anagrams as above as a creative thinker.

Creative Thinker Effective Participator Independent Enquirer STARTER PLT Skills TASK 1) Distance = 130 miles Speed = ? mph Time = 2 hours Speed = 130 miles 2 hours = 65 mph 3) Distance = 48 m 2) Reflective Learner Self Manager Which ones are you using? Distance = ? kilometres Speed = 13 km/h Time = 3 hours Distance = 13 km/h x 3 hours = 39 km Speed = 4 m/s Time = ? seconds 48 m 4 m/s Time = = 12 seconds EXTENSION 1) Distance = 60 miles Speed = ? mph Time = 30 minutes Speed = 60 miles 0. 5 hour = 120 mph 2) Distance = 20 km Speed = ? km/h Time = 15 minutes 20 km Team Worker Speed = 0. 25 hour = 80 km/h

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

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

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

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

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

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

Creative Thinker Effective Participator Independent Enquirer Reflective Learner PLT Skills. DISTANCE-TIME GRAPHS EXAMPLE Self Manager Team Worker Which ones are you using? 15 km The distance–time graph below represents a car journey from Barnsley to Nottingham, a distance of 50 km, and back again. 20 mins 19 km 50 km D-E Represents a stop for 20 minutes 20 mins 16 km 10 mins 60 mins 20 mins (c) Work out the average speed for each of the five stages of the journey. A-B B-C E-F C-D x 3 20 mins = 16 km 60 mins = 48 km/h x 3 x 6 10 mins = 19 km 60 mins =114 km/h x 6 x 3 20 mins = 15 km 60 mins = 45 km/h x 3 60 mins = 50 km/h

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

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

Creative Thinker Effective Participator Independent Enquirer Reflective Learner PLT DISTANCE-TIME GRAPHS Skills EXTENSION (GRADE D) Self Manager Team Worker Which ones are you using? 1) A walker sets off at 9. 00 am from point P to walk 2) Three school friends all set off from school at the 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. same time, 3. 45 pm. They all lived 12 km away from the school. The distance–time graph below illustrates their journeys. At what time did the cyclist overtake the walker? You may use a graph to help you solve this question. 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. Stopped several times ii) Who went by car? Ravinder 3. 55 pm Michael 4. 35 pm (b) At what time did each friend get home? Sue 4. 20 pm (c) i) When the bus was moving, it covered 2 kilometres in 5 minutes. What is this speed in kilometres per hour? 24 km/h ii) Overall, the bus covered 12 kilometres in 35 minutes. What is this speed in kilometres per hour? 20. 6 km/h iii) How many stops did the bus make before Sue got home? 5

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

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

PLENARY ACTIVITY EXAM QUESTION (GRADE D) The graph shows Amy’s progress on a sponsored walk. Stop 19 km Stop (a) How many times does Amy stop during her walk? 2 times Answer. . . . . (1 mark) (b) Between which times does Amy walk the fastest? Explain your answer. 11: 30 – 12: 30 Answer. . . . This is where the line is steepest 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? 20 p x 19 = £ 3. 80. . . . . . . . . . . . 30 p x 19 = £ 5. 70. . . . . . . . . . . . 9. 50. . . . . . . . . Answer £. . . . . (3 marks)

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. Where are we in our journey? What grade are we working at?

Positive Thinker Creative Entrepreneur Independent Learner Reflective Learner Responsible Citizen Team Worker Which ones are you Enterprise Skills. SELF ASSESSMENT Plenary using? 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 Enterprise Skills. SELF ASSESSMENT 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 Responsible Citizen Team Worker Which ones are you using?