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GM5-8: Interpret points and lines on co-ordinate planes, including scales and bearings on maps.

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Elaboration on this Achievement Objective

This means that students will use co-ordinate axes including positive and negative integers and decimals. Straight lines will be described using equations or co-ordinate pairs, for example y = x + 4, or “the line that passes through (-4, 0.5) and (2, 1.5)”.

Students will interpret points and lines on a map by calculating distances using map scales and directions using compass bearings for example 210o. At Level Five students should be using multiplicative and proportional strategies to interpret scales, and interpreting compass bearings involving angles. For example they should be able to identify the approximate location of a person on a map given two bearings to that person from given landmarks.

 

Teaching resources for this Achievement Objective
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High and Dry

Level Five
Geometry and Measurement
Figure It Out activities
This is a level 5 geometry activity from the Figure It Out theme series. A PDF of the student activity is included.

interpret a contour map

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Making Tracks

Level Five
Geometry and Measurement
Figure It Out activities
This is a level 5 geometry strand activity from the Figure It Out series. A PDF of the student activity is included.

interpret location,  direction and distance on a scale map

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Making Waves on the Whanganui

Level Five
Geometry and Measurement
Figure It Out activities
This is a level 5 geometry activity from the Figure It Out theme series.

draw vectors

add vectors

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Never get lost

Level Five
Geometry and Measurement
This extended, cross curricular unit supports students to learn and apply theories around scale, bearings and compass directions in a context that enhances their engagement and produces an authentic and useful outcome.
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Oil Spill

Level Five
Geometry and Measurement
Figure It Out activities
This is a level 5 geometry activity from the Figure It Out theme series. A PDF of the student activity is included.

draw pathways using vectors

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Steep Streets

Level Five
Geometry and Measurement
The purpose of this unit is to engage students in applying their knowledge and skills of measurement to investigate gradients, angles, elevation in a range of practical situations.
  • apply measurement sense
  • use problem solving methods to find unknown lengths and angles
  • find angles of elevation and apply these to problem solving
  • find gradients and apply these to problem solving
  • find and apply angles of elevation
  • compare and use gradients to find unknown lengths
  • use maps, measuring300
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Walk the line

Level Five
Geometry and Measurement
Rich learning activities
The purpose of this multi-level task is to engage students in using grid references as co-ordinates on a plane along with scales and bearings to solve a problem.