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Students estimate an addition problem, share their methods, discuss the averaging method, and then do more problems using averaging.

Students estimate a multiplication problem, share their methods, discuss the rounding method, and then do more estimation problems using rounding.

Students estimate a multiplication problem, share their methods, discuss the front-end method, and then do more problems using front-end.

Students estimate an addition problem, share their methods, discuss the front-end method and then do more problems using front-end.

In this task students decide which people are estimating and which are not, and explain their reasoning.

Students estimate an addition problem, share their methods, discuss grouping nice numbers, and then do a problem using this method, then design a question showing how it uses the method.

This practical task involves students making best estimates of sets of items and clearly demonstrating their method(s) of estimation.

Students estimate and explain how they estimated their answer for two number problems: one involving multiplication; and the other division.

Students answer questions involving finding fractions in story problems about marbles and write their answer in its simplest form.

Students decide if a percentage statement is correct and explain their answer.

Students enlarge a shape made of cubes and explore the relationship between the scale factor and volume.

For this NEMP task students use a grid map of an island to locate positions and describe ways to move from one position to another.

The context for this task is a grid-referenced map of historical sites. Students locate items at three grid references then write the grid references for all the castles on the map.

Students identify the correct resultant vector of two component vectors, and also identify the correct diagram of a vector that is written in column form.

Students identify grid references on a movie theatre seating plan.

Students use grid references to locate places on a map of Auckland and give grid references of specified places.

In this practical task students design a net for a lidded cardboard cube to hold a tennis ball. They then cut out and construct the cube.

In this practical task students design a net for a lidded cardboard box to hold 3 "chocolate bars" represented by hundreds blocks. They then cut out and construct the box.

Students identify points on a circular grid using references that give distance and direction (expressed in clock bearings).

Students calculate the repair charges for two different washing machine repair companies, and compare and explain their results.

Students solve mathematical problems involving distance, and identify parts of an algebraic expression.

Students calculate the cost of hiring a search and rescue helicopter and compare this cost with another helicopter company's charges.

Students identify positions on a grid using grid references.

Students identify towns and cities on a map using compass points.

Students write short paragraphs using geometrical terms to describe two pictures. The terms equilateral, scalene, and isosceles are to be used to describe a castle. The words circumference, diameter, and radius are to be used to describe a bicycle.