# GM4-7: Communicate and interpret locations and directions, using compass directions, distances, and grid references.

This means students will apply their understanding of the measurement system, particularly of length and angle. This involves converting the scale on a map to actual measurements and describing direction given the orientation of North.

- Give or interpret the location of a feature on a map using grid references, distances and direction from a landmark, for example AA 24 (Street map), 536 721 (topographical map), 160m South-East of the library, Latitude 12
^{o}South, 77^{o}East (World map), 2047km South-West of Los Angeles. - Follow instructions given by others using compass directions, distances and grid references by interpreting a scale map, for example travel from New Plymouth to Tauranga.

## X Marks the Spot

- Units of Work
- Geometry and Measurement
- Level Four

This unit uses games and puzzles to explore co-ordinate systems and their uses. The students are given the opportunity to invent their own systems by locating counters on a sheet of paper and by finding the dead centre of a set of objects. The Cartesian and polar co-ordinate systems are used to locate position on maps. The polar co-ordinates are also useful to describe certain loci.

## Map it

- Units of Work
- Geometry and Measurement
- Level Four

This unit uses explores the mathematics of maps, including scale, grid references and bearings.

## Red October

- Units of Work
- Geometry and Measurement
- Level Four

In the film The Hunt For Red October, at one point the escaping Russian submarine has to navigate a complicated underwater trench. This unit is built around that idea and brings in the measurement of angle and distance. It is expected at this stage that the students will know how to use protractors.

## Robots

- Problem solving activities
- Geometry and Measurement
- Level Four

## Number in Geometry

- Secondary activities
- Number and Algebra
- Level Three

These exercises, activities and games are designed for students to use independently or in small groups to practise number properties. Some involve investigation (see Related Resources) and may become longer and more involved tasks with subsequent recording/reporting. Typically an exercise is a 10 to 15 minute activity.

## Ringing the Road

- Figure It Out activities
- Geometry and Measurement
- Level Four

This is a level 4 geometry strand activity from the Figure It Out series.

## Ball Paths

- Figure It Out activities
- Geometry and Measurement
- Level Four

This is a level 4 geometry strand activity from the Figure It Out series.

## Treasure Island

- Figure It Out activities
- Geometry and Measurement
- Level Four

This is a level 4 geometry strand activity from the Figure It Out series.

## Blasting Bugs

- Figure It Out activities
- Geometry and Measurement
- Level Four

This is a level 4 geometry strand activity from the Figure It Out series.

## Finding a Way

- Figure It Out activities
- Number and Algebra
- Level Four

These are level 4 number, and geometry problems from the Figure It Out series.

A PDF of the student activity is included.

## Planning the Tramp

- Figure It Out activities
- Geometry and Measurement
- Level Four

This is a level 4 geometry and measurement activity from the Figure It Out theme series.

A PDF of the student activity is included.

## Hangin' Out

- Figure It Out activities
- Geometry and Measurement
- Level Four

This is a level 4 geometry and number activity from the Figure It Out theme series.

## Which Way Now?

- Figure It Out activities
- Geometry and Measurement
- Level Four

This is a level 4 probability activity from the Figure It Out theme series.

## Holiday Drop-Offs

- Figure It Out activities
- Geometry and Measurement
- Level Four

This is a level 4 geometry and level 3 number activity from the Figure It Out theme series.

## Day Trippers

- Figure It Out activities
- Geometry and Measurement
- Level Four

This is a level 4 measurement, geometry, statistics and level 5 number activity from the Figure It Out theme series.

## A Near Miss

- Figure It Out activities
- Geometry and Measurement
- Level Four

This is a level 4 geometry activity from the Figure It Out theme series.

## Fire Alarm!

- Figure It Out activities
- Geometry and Measurement
- Level Four

This is a level 4 geometry activity from the Figure It Out theme series.

## Direction and Position

- Units of Work
- Geometry and Measurement
- Level Four

This unit of work is based on the Māori medium unit * Te Ahunga me te Taunga*, and investigates the main compass directions, degree measures of direction and the use of a grid system to define locations on a map.

## Where on Earth?

- Figure It Out activities
- Geometry and Measurement
- Level Four

This is a level 4 activity from the Figure It Out series.

A PDF of the student activity is included.

## Going Global

- Figure It Out activities
- Geometry and Measurement
- Level Four

This is a level 4 activity from the Figure It Out series.

A PDF of the student activity is included.

## Penguin Properties

- Figure It Out activities
- Geometry and Measurement
- Level Four

This is a level 4 activity from the Figure It Out series.

A PDF of the student activity is included.

## Safe Landings

- Rich learning activities
- Geometry and Measurement
- Level Four

The purpose of this activity is to engage students in finding locations from descriptions given and using these to solve a problem.

## Where's the WiFi?

- Rich learning activities
- Geometry and Measurement
- Level Four

The purpose of this activity is to engage students in using compass directions and compass constructions to solve a location problem.

## Matariki - Level 4

- Units of Work
- Geometry and Measurement
- Level Four

This unit explores a variety of mathematics ideas in the context of Matariki. Matariki is a significant event in the New Zealand calendar and the Māori New Year is celebrated in many schools. Matariki is an opportunity to engage in activities such as storytelling, astronomy, song, dance, and visual arts that have potential to enrich students’ mathematical experiences in meaningful contexts. New Year is also a chance to honour our ancestors, show care for our natural environment, and celebrate our bi-cultural and multi-cultural heritage.