Level Three | NZ Maths

Solve addition and subtraction problems using decomposition, leading to a written algorithm.

Solve subtraction problems by using reversing.

Solve addition and subtraction problems by compensating with tidy numbers (including equal additions).

Solve addition problems by looking for compatible numbers.

Solve addition and subtraction problems by using place value.

Solve addition and subtraction problems by going back through tens.

S3-3: Investigate simple situations that involve elements of chance by comparing experimental results with expectations from models of all the outcomes, acknowledging that samples vary.

This means students will understand that probability is about the chance of outcomes occurring. At Level Three students should recognise that it is not possible to know the exact probability of something occurring in most everyday situations, for example the chance of a day in March being fine. They should understand that trialling must be used to gain information about the situation and that the results of trial samples vary, for example March 2008 is likely to be different from March 2009.

S3-2: Evaluate the effectiveness of different displays in representing the findings of a statistical investigation or probability activity undertaken by others.

This means students will learn to become critical consumers of statistically based information. This involves critically analysing the choice of display other people have made to convey statistical information. At Level Three students should be able to gain information from all of the displays mentioned in Statistical Investigation, and be aware of the type of data each display is appropriate for and the kind of pattern or relationship that the display is best at communicating.

S3-1: Conduct investigations using the statistical enquiry cycle: gathering, sorting, and displaying multivariate category and wholenumber data and simple time-series data to answer questions; identifying patterns and trends in context, within and between data sets;communicating findings, using data displays.

The statistical enquiry cycle has five phases that relate to each other. Some enquiries follow these phases in sequence but often new considerations mean that a statistician must go back to previous phases and rethink. The phases are:

stats cycle.

GM3-6: Describe the transformations (reflection, rotation, translation, or enlargement) that have mapped one object onto another.

This means students will explore and describe transformations. “Transformation” is a generic term used to describe actions on shapes that result in some form of pattern, usually symmetric. A reflection is the image of a shape as seen through a mirror line either inside or outside the shape, sometimes called a “flip”. A rotation is the image of the shape turned about a point either inside or outside the shape. A translation is the image of a shift of the shape along a line, and an enlargement is the image of the shape made bigger or smaller by some scale factor.