# 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.

mark a pathway using scale maps and compass bearings

draw loci

give directions using grid references

interpret information from a timetable

interpret information from a chart

find average speeds

interpret a scale map and draw a route

calculate percentages of money amounts

show percentages on a pie chart

use addition, multiplication and systematic approach to solve problems (Problem 1)

interpret distance and direction information on a road map (Problem 2)

find fractions of whole number to solve problems (Problem 3)

use simple ratios to solve problems (Problem 4)

interpret a contour map

draw a three dimensional modle

build a scale model

interpret the scale of a map to calculate distances

calculate travel costs using a range of mental strategies

interpret a map to find the shortest route

use mental strategies to add kilometres distances

make a distance map using a scale

- Identify the location of a point on a four-quadrant number plane using coordinates.
- Average the x and y values of a set of coordinates to locate the centroid of the points.
- Use scale or Pythagoras’ Theorem to find the distance between points on a number plane.
- Measure the bearing (angle300

- Draw a scale map of the classroom
- Find the location of an object using Cartesian coordinates or bearings

use a range of mental strategies to add to 90, 180, 270, 360.

find factors of 90, 180, and 360

use additive strategies to balance equations

use multiplicative strategies to balance equations

fold paper to show an angle

interpret the scale of a map

use speeds and times to construct a timetable

- Follow directions given in bearings.
- Invent their own maps using bearings.
- Use a protractor to produce maps.

apply compass directions and scale

use compass directions and scale drawings

follow compass directions

read scale maps

write instructions using compass directions and map distances

- Use Cartesian and polar co-ordinates to describe the position of an object.
- Find the location of an object using Cartesian or polar co-ordinates.