Curriculum for Excellence Maths and Numeracy Experiences and Outcomes Third Level MTH 3-17b 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. Links to current 5-14 Planners E10.4 F3.6 F10.2 F10.3 F10.4

Key Learning Intentions

Learners’ Experiences / Possible Contexts Consider: collaborative learning, creativity, problem solving/investigative approaches, use of ICT, links across the curriculum etc.

Navigation is the science Key Vocabulary: of locating the position Navigation, 3-figure bearing, clockwise, north, angle, scale, scale and plotting the course drawing. of a journey. There are many pieces of technology which help us navigate. A 3-figure bearing tells us the angle measured clockwise from North. We use 3-figure bearings: • to give an accurate measure of direction, • as a consistent system of measuring direction, • to avoid errors in communicating direction eg 035˚ for 35˚.

• • • •

Pupils study large scale maps of the local area and devise a set of questions for their classmates to answer, e.g. How far, as the crow flies, is it from your school to the police station? Calculate distances on maps of different scales Plan an interesting journey of approximately 100km, starting and finishing at your school. Work out distances and bearings from home to holiday destinations.

I can give examples of the role of navigation in everyday life. I can give an example of technology used in navigation. Given a 3-figure bearing I can draw a representation of it.

I can discuss the benefits of using 3http://www.bbc.co.uk/history/british/empire_seapower/launch_ani_n figure bearings to avigation.shtml describe direction. (an animation showing the history of navigation)

I can measure the size of a 3-figure bearing.

When measuring the angle for our 3-figure Angle, Symmetry and Transformation

Success Criteria

1

City of Edinburgh Council

Evaluation and Next Steps

Curriculum for Excellence Maths and Numeracy Experiences and Outcomes bearing we measure clockwise from the north direction. If an angle is less than 100˚, we begin our 3figure bearing with 0 eg an angle of 72˚ gives a 3-figure bearing of 072˚.

I can state/write a 3figure bearing using the correct notation eg 090˚ for 90˚ (E).

We use scale: • to fit a drawing of a route or journey onto one page, • to create a drawing which is proportionately the same as the original.

I can give examples of when we should use scale drawings.

When creating plans and scale drawings we can use scale in the following forms: • 1cm to 10m (which means that 1cm on the plan represents 10m in real life) • 1:1000 (which means that 1cm/m/… on the plan represents 1cm/m/… in real

I can use a given scale to create a plan or scale drawing: • in the form 1cm to 10km • in the form 1:10000

Angle, Symmetry and Transformation

I can use a scale I have chosen to create a plan or scale drawing.

2

City of Edinburgh Council

Curriculum for Excellence Maths and Numeracy Experiences and Outcomes life) It is important to choose an appropriate scale when creating a plan or scale drawing.

I can choose an appropriate scale when creating a plan or scale drawing.

We use scales and bearings to create plans and scale drawings of routes and journeys.

I can use scales and bearings to create plans and scale drawings of routes and journeys.

We use our knowledge of scales and bearings to interpret maps and plans, including: • how far is it from … to …? • what is the bearing of … from …? • how far has … travelled in total? • how far away from the start is … now?

I can use my knowledge of scales and bearings to interpret maps and plans.

Angle, Symmetry and Transformation

3

City of Edinburgh Council

Angle, Symmetry and Transformation MTH 3-17b

Learners’ Experiences / Possible Contexts Consider: collaborative learning, creativity, problem solving/investigative approaches, use of ICT...

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