• The basic pattern for each unit is as follows:

HD1 6h Autumn Term Key L.O's: 1. Probability Scale 2. Probabilities of equally likely outcomes

N2 (FDPRP) is a pre-requisite to HD1 in order to provide fractional (or decimal or %) notation for probability values. Both Key L.O.s relate to P and this is a new topic for Y7 pupils. An informal experience-based introduction to everyday probability is linked to the precise and quantitative fractional approach, via the P number line. Because the first Key L.O. relates to linguistic communication skills ('fair', 'likely')& the second to mathematical communication skills ('P = 3/4'), there are likely to be two main teaching challenges in this unit. The first is the facilitation of pupils' 'connection' between the two (eg; using probability line and everyday examples). The second challenge may be the confident use of fraction notation by pupils.

One main data handling L.O .involves the 3 averages (mean, mode, median) & range, although a more sensitive insight into their most appropriate use is now postponed until Y8. The second main L.O. requires data interpretation from graphs shapes in addition to average / range calculations. Because graphical interpretation was a key Y5/6 L.O., the emphasis here is probably expected to be consolidation and extension to pie charts & the new link to average & range calculations. Pupils need to feel relatively confident about these in preparation for HD2.

HD2 5h Spring Term Key L.O's: 1. Word problems / investigations - handling data

The problem-solving Key L.O. is in line with the previous statement re confident interpretative data handling skills. The L.O.s in HD2 provide pupils with a clear pathway through an enquiry, from choosing data sources, to planning collection & recording methods, displaying, interpreting & drawing conclusions. Interpretation is from graph shapes rather than from statistical calculations. This further supports pupils' spatial & intuitive insight, and opposes too early an emphasis on numerical, quantitative methods (postponed until HD3). This philosophy is also visible in the SSM strands (see SSM notes). Therefore, HD2 is the 'Big Picture' unit for Data Handling.
There are no probability L.O.s in HD2.

As noted above, the overall aim of the Summer Term unit, HD3, - and of the entire strand - is to bring pupils to a point where they are able to integrate their learning of data and of probability. The 2 related contexts are: those requiring an estimation of Probability values from experiments, and those requiring a comparison between experimental & theoretical probabilities. There is a considerable overlap with the L.O.s from HD1, therefore allowing consolidation and development of the probability objectives.

There is also a significant overlap with the long list of HD2 enquiry-based L.O.s, although it may be less obvious because HD3 refers more succinctly to the production of an enquiry report and to the comparison of 2 distributions. Therefore, the enquiry pattern laid out for pupils in HD2, neatly encapsulated within these 2 L.Os., is accessed again in HD3.

Experimental probabilities are used in this unit to estimate theoretical probabilities and the 2 are compared in simple contexts. However, this is developed further in Y8 where the aims are to understand experimental probability (eg: different outcomes occur in repeated experiments; the more the repeats, the better the estimate).