Bearings & Calculating Angles

All | Maths | 11-16

Learning Objectives

To be able to solve problems involving bearings and use bearing notation:

  • Know what a three-figure bearing is.
  • Accurately draw a point using three-figure bearing and distance data.
  • Work out the bearing of one point from another.
 

Lesson Description

In order to achieve the sub-two-hour marathon, in a challenge which many thought impossible, there could be no stone left unturned in the meticulous planning and preparation by the INEOS 1:59 Challenge team. One of the major decisions that needed to be made was about the course.  What makes a good route and how do you adapt, measure and plot the best course?

On 12th October 2019 Eliud Kipchoge, with support from the INEOS 1:59 Performance team, broke the last great barrier in modern athletics, the two-hour marathon. In doing so he inspired others to believe that they can overcome their own personal barriers. He believes that #NoHumanIsLimited.

This series of 3 exciting STEM challenges for students covers key aspects of the challenge Eliud and his team faced; pacemakers, nutrition and course selection. Students will put themselves into the roles of the 1:59 team and will investigate what it takes to run a sub-two-hour marathon by carrying out hands-on practical work in physics, biology and maths.

All lessons are fully linked to the National Curriculum.

Video: Why was Vienna chosen for the INEOS 1:59 Challenge?

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For immediate access to all of our free Key stage 3 and 4 STEM teaching resources.

1.1:59 STEM Challenge workbook Use this workbook to organise your students work to form a coherent finished project. The workbook can be used for each individual module in isolation or for all 3 modules as a finished STEM cross-curricular project.
2.Course selection challenge presentation Editable presentation using the context of the INEOS 1:59 Challenge to cover bearings.
3.Bearings worksheet 1 Students will practice calculating missing angles.
4.Bearings worksheet 2 - route planning Using their knowledge of bearings, students will plan a route using the map provided.
5.Bearings worksheet 3 Students will practice measuring bearings on diagrams as well as on the real-life context map of the 1:59 course.

England

Nutrition and digestion

  • content of a healthy human diet: carbohydrates, lipids (fats and oils), proteins, vitamins, minerals, dietary fibre and water, and why each is needed
  • calculations of energy requirements in a healthy daily diet
  • the consequences of imbalances in the diet, including obesity, starvation and deficiency diseases

Energy Calculation of fuel uses and costs in the domestic context

  • comparing energy values of different foods (from labels) (kJ)
  • comparing amounts of energy transferred (J, kJ, kW hour)

Forces

  • forces as pushes or pulls, arising from the interaction between two objects
  • using force arrows in diagrams, adding forces in one dimension, balanced and unbalanced forces
  • forces: associated with deforming objects; stretching and squashing – springs; with rubbing and friction between surfaces, with pushing things out of the way; resistance to motion of air and water

Working scientifically

Through the content across all three disciplines, pupils should be taught to:

Scientific attitudes

  • pay attention to objectivity and concern for accuracy, precision, repeatability and reproducibility
  • understand that scientific methods and theories develop as earlier explanations are modified to take account of new evidence and ideas, together with the importance of publishing results and peer review
  • evaluate risks.

Experimental skills and investigations

  • ask questions and develop a line of enquiry based on observations of the real world, alongside prior knowledge and experience
  • make predictions using scientific knowledge and understanding
  • select, plan and carry out the most appropriate types of scientific enquiries to test predictions, including identifying independent, dependent and control variables, where appropriate
  • use appropriate techniques, apparatus, and materials during fieldwork and laboratory work, paying attention to health and safety
  • make and record observations and measurements using a range of methods for different investigations; and evaluate the reliability of methods and suggest possible improvements
  • apply sampling techniques. Analysis and evaluation
  • apply mathematical concepts and calculate results
  • present observations and data using appropriate methods, including tables and graphs
  • interpret observations and data, including identifying patterns and using observations, measurements and data to draw conclusions
  • present reasoned explanations, including explaining data in relation to predictions and hypotheses
  • evaluate data, showing awareness of potential sources of random and systematic error
  • identify further questions arising from their results.

Measurement

  • use and derive simple equations and carry out appropriate calculations.
  • undertake basic data analysis including simple statistical techniques.

Scotland

CfE

Forces

  • By investigating how friction, including air resistance, affects motion, I can suggest ways to improve efficiency in moving objects.
  • By contributing to investigations of energy loss due to friction, I can suggest ways of improving the efficiency of moving systems.
  • I can use appropriate methods to measure, calculate and display graphically the speed of an object, and show how these methods can be used in a selected application.

Body systems and cells

  • By investigating some body systems and potential problems which they may develop, I can make informed decisions to help me to maintain my health and wellbeing.
  • I have explored the structure and function of organs and organ systems and can relate this to the basic biological processes required to sustain life.

Angle, symmetry and transformation

  • Having investigated navigation in the world, I can apply my understanding of bearings and scale to interpret maps and plans and create accurate plans, and scale drawings of routes and journeys.
  • I can apply my understanding of scale when enlarging or reducing pictures and shapes, using different methods, including technology
  • I can name angles and find their sizes using my knowledge of the properties of a range of 2D shapes and the angle properties associated with intersecting and parallel lines.

Wales

  • how food is used by the body as fuel during respiration and why the components of a balanced diet are needed for good health
  • the conservation of energy and ways in which energy can be stored
  • the forces in devices and their relationship to work done and power

 

Subject

All, Maths

Key Stage

11-16

Resource For

Students, Teachers

Type

Film, Practical Investigation, Student workbook, Teacher Presentation, Teachers' notes, Worksheets
 
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