Length is a onedimensional concept related to the geometric concepts of direction and line. Put more simply length is usually thought of as the extent of line. Length measures need to be investigated in the many practical situations in which they occur, for example, as length, width, depth, height, thickness or closeness of objects. Most initial experiences relate to straight lines, but distances along curves or around plane shapes are also relevant. See the links in the "Learning Sequence" column for more detail on the steps in the sequence.
Level 1 Length
Achievement Objectives 
Learning Outcomes 
Unit title 
GM11

 compare lengths from the same starting point
 use materials to make a long or short construction
 use materials to compare large and small areas

Worms and more 
 compare the length of two objects
 select objects which are about the same length as a given object
 order three or more objects by length

Time capsule 
Gingerbread Man 
 compare a group of objects by length
 measure length with nonstandard units
 use measuring language to compare length, width, and height

Teddy Bears and Friends 
Taller, Wider, Longer 
Level 2 Length
Achievement Objectives 
Learning Outcomes 
Unit title 
GM21

 demonstrate a personal benchmark for 1 metre, 1/2 metre
 identify and use external benchmarks to carry out practical measuring tasks
 discuss the need for having and using standard measures of length
 make sensible estimates about the lengths of given objects


 recognise the need for a standard unit of length
 recognise a metre length
 estimate and measure to the nearest metre


 carry out practical measuring tasks using appropriate metric units.
 make measurement estimates using appropriate metric units
 pose measurement questions


 recognise the need for a standard unit of length
 recognise a centimetre length
 estimate and measure to the nearest centimetre


GM21 GM22 
 estimate using metres and centimetres
 measure to the nearest metre and centimetre


 find objects that they estimate to be a 1cm, 10cm, 50cm and one metre long
 measure lengths of approximately one metre to the nearest cm


Level 3 Length
Achievement Objectives 
Learning Outcomes 
Unit title 
GM31 
 make estimates of lengths between approximately 50cm and 1.5m
 measure lengths in metres and centimetres
 convert between metres and centimetres


 develop a concept of a km
 measure a distance of 1km and the time taken to cover it


 make estimates of lengths and areas
 measure using a variety of techniques to check their estimates


GM31 NA31 
 make appropriate measurements accurately using standard units
 perform addition calculations to find perimeters of objects


GM31 S31 
 measure accurately using centimetres and millimetres
 organise and record data, in tables and graphs
 interpret trends and identify number relationships
 apply mathematical knowledge to practical problem solving


 measure accurately using metres, centimetres and millimetres
 record data in tables
 use scatter plot graphs to identify relationships between variables


Level 4 Length
Achievement Objectives 
Learning Outcomes 
Unit title 
GM41 GM44 
 describe a method to measure the length of circular objects
 measure length using metres, centimeters and millimeters
 calculate the circumference of a circle from a measurement of diameter

How Long is a Slinky?

GM42
GM48

 follow instructions, in diagram form, to construct twodimensional mathematical shapes, e.g. triangles, quadrilaterals, pentagons and hexagons
 enlarge and reduce twodimensional mathematical shapes by a given scale factor
 identify invariant properties when enlarging and reducing twodimensional mathematical shapes
 convert between mm and cm measurement.
 multiply whole numbers by a decimal

Team Puzzles

GM42 GM44 NA41 
 calculate speed from measured distance and time
 solve multiplication problems using doubling and halving strategies
 use known multiplication facts to solve multiplication problems

How fast is fast?

Level 5 Length
Achievement Objectives 
Learning Outcomes 
Unit title 
GM51 GM54 
 draw a plan to scale, of an object based on a rectangle and two semicircles
 understand the relation of length on the plan to actual length
 find lengths and areas use these for costing purposes
 be able to link speed, distance and time (given two find the third)
 estimate distances and times
 calculate practical percentages


GM510 GM53 GM55 
 apply Pythagoras' theorem
 use their knowledge of the sum of interior angles of a polygon
 construct angles based on halving and combining 90° and other straightforward angles
 apply knowledge of length and area


GM510 GM54 NA54 
 use scale factors to investigate areas being enlarged
 use scale factors to investigate volumes being enlarged
 solve real life context problems involving scale factors
 measure the lengths of the sides of sets of similar right angled riangles and find the ratio of sides


GM54 
 measure the circumference of circles
 state the relationship between the circumference and diameter of a circle

