Number
Algebra
Shape, Space & Measure

Data Picking Game

This game requires an understanding of frequency tables for the organisation of data as well as the various charts, which are offered for interpretation. Level 1 shows simple pie charts, Level 2 a selection of line graphs, histograms and pie charts and Level 3 simple scatter charts.

Level 1
Ten students offer information about their families, pets and favourite sports. The pie charts are identified by shapes, which match the frequencies in the frequency chart. Comparisons are based on ideas such as: there are three the same; there is one very small frequency; one has zero frequency; etc (National Curriculum Handling Data Level 4).

Level 2
The same ten students now offer information about the CDs they own, pocket money or shoe-size. The data is grouped so histograms and line charts are offered as well as pie charts. A match is sought between the frequency chart and the drawings in a similar way to that of Level 1 (National Curriculum Handling Data Level 4 to 5).

Level 3
The same ten students offer data pairs, which are shown on scatter charts. A match is sought on the basis of: positive correlation for data pairs which are both low or both high; negative correlation for data pairs which are opposites (one low when the other is high); or no correlation for data pairs with neither of the tendencies described above (National Curriculum Handling Data Level 5 to 7).

Words, Words, Words Print Offs
The sheets investigate different aspects of the English language. Level 1 explores the usage of the letters in a piece of writing, Level 2 the number of words in samples of sentences and Level 3 the proportion of vowels in a mathematical vocabulary list. Each investigation has a structure which can be extended to further work.

Level 1
A passage of text and a frequency chart are supplied and one suitable concluding statement is given which can be used to end the investigation (National Curriculum Handling Data Level 3).

Level 2
Samples of newsprint from 2 papers are needed for this Level. One comparison of style is made and more are suggested (National Curriculum Handling Data Level 4 to 5).

Level 3
A list of words is examined for the proportion of vowels. The data is the percentage of vowels in each word and is grouped. A histogram is required as part of the analysis and a suitable concluding sentence is offered (National Curriculum Handling Data Level 5 to 6).

Fish Tank Game
Throughout the game it is assumed that catching red or yellow fish are equally likely outcomes. This game requires an understanding of probability and fractions. At Level 1, a number of fish are seen in a tank and the instruction is to express the probability of catching a red fish as a fraction. At Level 2 and 3 the required probability is given as a fraction and fish are placed in the tank to produce this probability.

Level 1
The number of red fish is placed as the numerator and the total number of fish as the denominator of a fraction. It is not necessary to write the fraction in its lowest terms (National Curriculum Handling Data Level 5, Number and Algebra Level 4).

Level 2
A required probability is achieved by expressing the given fraction in various equivalent forms until it is possible to achieve one of these by adding red or yellow fish to the tank. No more than 3 of either type of fish can be added to the tank. If a fish is added in error, it can be removed. Fractions are restricted to multiples of 1/3 1/4 and 1/5 (National Curriculum Handling Data Level 5, Number and Algebra Level 5).

Level 3
This is the same game as Level 2 but a wider range of fractions are used. Fractions are multiples of 1/6, 1/7, 1/8, 1/9. Decimals are also used, including multiples of 0.25 and 0.1 (National Curriculum Handling Data Level 5, Number and Algebra Level 6).

Probability Print Offs

A selection of shapes or numbers are offered and decisions about probabilities of equally likely outcomes are required. At Level 1 shapes are used. At Levels 2 and 3 knowledge of factors, multiples, prime numbers, squares, cubes and triangle are required to identify the numbers.

Level 1
The student is expected to count the shapes and write a fraction to represent the probability of a particular outcome (National Curriculum Handling Data Level 4 to 5).

Level 2
The student should know multiplication facts up to 10 x 10 and be able to use these to find multiples and factors of numbers. The identification of prime numbers, square numbers and triangle number is essential for success at this level (National Curriculum Handling Data Level 4-5, Number and Algebra Level 4).

Level 3
A larger selection of numbers is given for this level. The tasks involved are the same as those at Level 2 (National Curriculum Handling Data Level 4 to 5, Number and Algebra Level 4).

Train Race Game
This game can be used to extend a basic understanding of the median, mean and range. Data about particular trains is given from which estimates of the arrival time are calculated. The reliability of a particular train is assessed by the size of its range: a train is judged to be more reliable than another if it has a smaller range.

Level 1
The departure times are on the hour and the journey times are in whole numbers of hours (National Curriculum Handling Data Level 4, Shape and Space Level 4).

Level 2
The departure times are on the half-hours or quarter-hours and the calculated means involve multiples of 12 minutes (National Curriculum Handling Data Level 4, Shape and Space Level 4 to 5).

Level 3
The departure times are written as hours and minutes. The journey times are whole number of minutes (National Curriculum Handling Data Level 4, Shape and Space Level 5).

School Sports Day Print Offs
Four teams take part in various field and track events. Competitors are selected using either the median or mean of three past performances together with the range of these results. The reliability of a particular competitor is assessed using the range: a competitor is judged to be more reliable than another if s/he has a smaller range in performance.

Level 1
The sheet has four field events with two students per team. A choice is made between the pairs based on the median and range of three past performances. The results are all in metres and have no more than 2 decimal places (National Curriculum Handling Data Level 4, Shape and Space Level 4).

Level 2
There are three field events with two students per team. A choice is made between the pairs based on the mean and range of three past performances. The results are all in seconds and have no more than 2 decimal places (National Curriculum Handling Data Level 4, Shape and Space Level 4 to 5).

Level 3
There are three field events with two students per team. A choice is made between the pairs based on the mean and range of three past performances. The times are given in minutes and seconds and an understanding of false means would assist the calculation of mean times (National Curriculum Handling Data Level 5, Shape and Space Level 4 to 5).

 Data Handling - National Curriculum Curriculum Tier 3 4 5 6 7 8 Data Picking Level 1 Level 2 Level 1 Level 2 Level 3 Level 3 Words, Words, Words Level 1 Level 2 Level 2 Level 3 Level 3 Fish Tank Level 1 Level 2 Level 2 Level 3 Level 3 Probability Level 1 Level 2 Level 3 Train Race Level 1 Level 2 Level 3 Level 3 School Sports Day Level 1 Level 2 Level 2 Level 3