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

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.

At Level Three students should be able to:

- Give the location of something using co-ordinate references, for example A3.
- Find the location of something given a co-ordinate reference, for example Find Daphne Street at E8.
- 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.
- 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

This is a level 3 geometry strand activity from the Figure It Out series.

follow instructions using compass directions

Figure It Out activities

Geometry and Measurement

Level Three

The purpose of this activity is to engage students in using grid references to solve a problem.

Geometry and Measurement

Level Three

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

Figure It Out activities

Geometry and Measurement

Level Three

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

Figure It Out activities

Geometry and Measurement

Level Three

The purpose of this unit is to develop an understanding of the time line of the growth in the population of New Zealand. Immigration, the locations of places of origin, and the directions of the different paths immigrants have taken to reach Aotearoa, are considered.

Order events on a timeline, giving consideration to scale. Describe early Polynesian migration routes using grid references and compass points. Write grid references and compass points to identify a specific location. Locate NZ places with Māori names on a map, using grid references and compass...

Units of Work

Geometry and Measurement

Level Three

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

Figure It Out activities

Geometry and Measurement

Level Three

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

Figure It Out activities

Geometry and Measurement

Level Three

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...

Figure It Out activities

Number and Algebra

Level Three

This unit seeks to connect learning outcomes, and provide problem solving opportunities across all five content strands, number, geometry, statistics, algebra, and measurement. The context of houses is used to develop concepts such as drawing and modelling 3-dimensional objects, using co-ordinate...

draw a diagram showing the top, side, front, and back of a solid figure make the net for a solid figure use co-ordinates on a map to identify the position of houses construct triangles and quadrilaterals by measuring appropriate lengths, and identify the properties of the shapes find all the...

Units of Work

Geometry and Measurement

Level Three

This unit is designed to engage your class for at least the first week of the school year. It provides you, their teacher, with opportunities for you to learn about their current level of achievement.

Use multiplication to solve rate problems, especially about units of time. Use and calculate with metric units for mass and standard units of time. Use scales to estimate distances and times.

Units of Work

Number and Algebra

Level Three

This is a level 3 activity from the Figure It Out series. A PDF of the student activity is included.

Figure It Out activities

Geometry and Measurement

Level Three

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

Units of Work

Geometry and Measurement

Level Three

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

Figure It Out activities

Geometry and Measurement

Level Three

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)

Figure It Out activities

Number and Algebra

Level Three

This is a level 3 number, measurement and geometry activity from the Figure It Out theme series.

multiply by multiples of 10 estimate using scale factors order weights calculate speeds

Figure It Out activities

Number and Algebra

Level Three

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 same...

Figure It Out activities

Geometry and Measurement

Level Three

This is a level 3 geometry activity from the Figure It Out theme series.

use co-ordinates to describe locations on a grid

Figure It Out activities

Geometry and Measurement

Level Three

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.

Figure It Out activities

Geometry and Measurement

Level Three

This is a Level 3 Geometry activity from the Figure It Out Series.

describe two dimensional shapes describe a pathway

Figure It Out activities

Geometry and Measurement

Level Three

In this unit students use a programming platform, Scratch, to learn mathematics through digital technology.

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 Read a programme in Scratch and work out the path that the Sprite will take

Geometry and Measurement

Level Three

In this unit students use street maps as the context to learn about grid references, and for giving and following instructions involving directions and distances. In this unit students use street maps as the context to learn about grid references, and for giving and following instructions involving...

Find and describe the location of an object using co-ordinates 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

Units of Work

Geometry and Measurement

Level Three

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).

Problem solving activities

Geometry and Measurement

Level Three

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

Figure It Out activities

Geometry and Measurement

Level Three

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

Figure It Out activities

Geometry and Measurement

Level Three

This is a level 3 geometry activity from the Figure It Out theme series.

follow compass directions interpret a scale map

Figure It Out activities

Geometry and Measurement

Level Three