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GM3-5: Use a co-ordinate system or the language of direction and distance to specify locations and describe paths.

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Elaboration on this Achievement Objective

This means students will use co-ordinate systems that are used on maps to specify location and direction (for example Greensborough Reserve is at D1, Ruakura Road runs West-East). The scale of a map indicates distance.

 map.

At Level Three students should be able to:

  1. Give the location of something using co-ordinate references, for example A3.
  2. Find the location of something given a co-ordinate reference, for example Find Daphne Street at E8.
  3. Use features of a map to describe movement that would get someone from one location to another, including distance and direction. This includes turns (right, left relative to orientation), main compass directions (N,W,S,E) and approximate distances in metres or kilometres.
  4. Follow a set of directions given in terms of turns and distances (as above) and show that path they walked on a map of the area.

 

 

Teaching resources for this Achievement Objective
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Around the School

Level Three
Geometry and Measurement
Figure It Out activities
This is a level 3 geometry strand activity from the Figure It Out series. A PDF of the student activity is included.

follow instructions using compass directions

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Banana Cake

Level Three
Geometry and Measurement
Rich learning activities
The purpose of this activity is to engage students in using grid references to solve a problem.
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Bean Bag Antics

Level Three
Geometry and Measurement
Figure It Out activities
This is a level 3 geometry activity from the Figure It Out theme series. A PDF of the student activity is included.

follow instructions on a seating plan

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Clara's Cowpats

Level Three
Geometry and Measurement
Figure It Out activities
This is a level 3 shape activity from the Figure It Out theme series. A PDF of the student activity is included.

interpret simple co-ordinate maps

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Crow Ks

Level Three
Geometry and Measurement
Figure It Out activities
This is a level 3 link geometry activity from the Figure It Out series. It relates to Stage 6 and 7 of the Number Framework.

use compass points and bearings to give instructions

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Fun Run

Level Three
Geometry and Measurement
Figure It Out activities
This is a Level 3 Geometry activity from the Figure It Out Series. A PDF of the student activity is included.
  • Interpreting simple scale maps.
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Going the Distance

Level Three
Geometry and Measurement
Figure It Out activities
This is a level 3 measurement and geometry strand activity from the Figure It Out series. A PDF of the student activity is included.

use scale maps to measure distances

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High Wire

Level Three
Integrated
Figure It Out activities
This is a level (2+ to 3+) mathematics in science contexts activity from the Figure It Out series. A PDF of the student activity is included.

Students will:

  • identify the relationship between the relative positions of weights, the centre of gravity of the system, and stability.

Students should discover that:

  • the turning force (moment around the fulcrum) produced by gravity is a function of weight x horizontal distance from the fulcrum.
  • as the300
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Land Rush!

Level Three
Geometry and Measurement
Figure It Out activities
This is a level 3 activity from the Figure It Out series. A PDF of the student activity is included.
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Location, Location

Level Three
Geometry and Measurement
Units of Work
In this unit we use scale drawings to locate ourselves, and other people and objects, in the classroom and in the local community. We also introduce the compass as an instrument that can tell us in which direction we are facing.
  • Draw and interpret simple scale maps.
  • Use maps or plans to propose actions.
  • Understand the use of a compass to specify and find directions.
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Map Mysteries

Level Three
Geometry and Measurement
Figure It Out activities
This is a level 3 link geometry activity from the Figure It Out series. It relates to Stage 6 of the Number Framework.

specify locations using grid references

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Pattern Teasers

Level Three
Integrated
Figure It Out activities
These are level 3 number and geometry problems from the Figure It Out series. A PDF of the student activity is included.

use place value knowledge and addition to solve problems (Problem 2)

follow instructions to interpret a co-ordinate system (Problem 3)

use a systematic approach and addition and multiplication to solve problems (Problem 4)

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Roar!

Level Three
Integrated
Figure It Out activities
This is a level 3 number, measurement and geometry activity from the Figure It Out theme series. A PDF of the student activity is included.

multiply by multiples of 10

estimate using scale factors

order weights

 calculate speeds

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Rocket Balloon

Level Three
Geometry and Measurement
Figure It Out activities
This is a level (2+ to 3+) mathematics in science contexts activity from the Figure It Out series. A PDF of the student activity is included.

Students will:

  • measure mass, angle, time, and pressure
  • record data in tables
  • find the function relationships between pressure, mass, distance, time, and angle for a rocket balloon.

Students should discover that:

  • force is proportional to mass (you need a bigger force to push a bigger mass the same300
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Rosetta's Room

Level Three
Geometry and Measurement
Figure It Out activities
This is a level 3 geometry activity from the Figure It Out theme series. A PDF of the student activity is included.

use co-ordinates to describe locations on a grid

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Skateboarding Theory

Level Three
Geometry and Measurement
Figure It Out activities
This is a level (2+ to 3+) mathematics in science contexts activity from the Figure It Out series. A PDF of the student activity is included.

Students will:

  • use the language of geometry to describe position, direction, and angle
  • relate angle of lean to radius.

Students should discover that:

  • turning circle is proportional to angle of lean
  • cone spacing is proportional to turning circle.
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Snail Trails

Level Three
Geometry and Measurement
Figure It Out activities
This is a Level 3 Geometry activity from the Figure It Out Series. A PDF of the student activity is included.
  • Describe two dimensional shapes.
  • Describe a pathway.
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Starting from Scratch

Level Three
Geometry and Measurement
Units of Work
In this unit students use a digital programming platform, Scratch, to learn about polygons, and use the language of direction and distance.
  1. Create a programme in Scratch for a Sprite to walk out a shape or figure, including:
    • Correct numbers of steps
    • Correct angles
    • Use of repetition
    • Use of blocks
    • Use of variables and operators
  2. Read a programme in Scratch and work out the path that the Sprite will take
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Street Maps

Level Three
Geometry and Measurement
Units of Work
In this unit students use street maps as the context to learn about coordinates and grid references, and for giving and following instructions involving directions and distances.
  • Find and describe the location of an object using coordinates and grid references.
  • Follow and give directions involving turns (left and right), compass directions (N, S, E, W).
  • Follow and give instructions involving distances by interpreting simple scales
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The treasure map

Level Three
Geometry and Measurement
Problem solving activities
This problem solving activity has a geometry focus.
  • Follow instructions using grid and compass references on a map.
  • Devise and use problem solving strategies to explore situations mathematically (guess and check, make a drawing, use equipment).
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They're Off

Level Three
Geometry and Measurement
Figure It Out activities
This is a level 3 geometry activity from the Figure It Out theme series. A PDF of the student activity is included.

use different views of a model to mark a locatin on the map

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Treasure Trove

Level Three
Geometry and Measurement
Figure It Out activities
This is a level 3 geometry activity from the Figure It Out theme series. A PDF of the student activity is included.

use co-ordinates to describe and locate positions

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Voyage from Hawaiki

Level Three
Geometry and Measurement
Figure It Out activities
This is a level 3 geometry activity from the Figure It Out theme series.

follow compass directions

interpret a scale map

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Walking Triangles

Level Three
Geometry and Measurement
Figure It Out activities
This is a Level 3 Geometry activity from the Figure It Out Series. A PDF of the student activity is included.
  • Drawing and interpreting directions and movement.
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Where is the epicentre?

Level Three
Geometry and Measurement
Rich learning activities
The purpose of this activity is to engage students in using mathematical constructions to locate a position on a topographical map.