K. Dyluniwch ddesg

Introduction
An activity to explore how to determine the dimensions of a piece of furniture. This is then linked to
personal measurements.
Usefulness of measurements rather than accuracy is emphasised. This allows all children to participate
at their level. They move from the range and median for a small group to those for the whole class, and relate their mathematical ideas to real life use.
This activity has two episodes. Each episode consists of an introduction, paired or group work
and whole class sharing. The session must finish with a whole class reflection phase,
regardless of how far the class has got.
Episode 1: Finding the maths in a familiar setting
Children list physical features of a desk they might like for themselves, and focus on the mathematical
feature of size. The size is then analysed into the three dimensions of length, width and height. These
dimensions are then linked to the extent of each child’s forward and sideways reach and to what is a
comfortable height for them.
Children measure and record their personal dimensions. They share the values and talk about a range of values and about some middle value.
Episode 2: Exploring the median as a representative value
Children see an example based on the values for a group of four children. Each group then lists either their
arm span, reach or height values in order of size and finds the median in their own way.
Children share their ways of finding the median and range. They find the median and range for the whole
class and may discuss other representative values such as the mean. They compare their data with the dimension of the tables they have in the school.
Reflection
Children review their thought processes in the two episodes. They express their views on the advantages
and disadvantages of this way of determining the best dimensions for a desk and speculate on other
situations for which this approach may or may not be suitable, for example, what about a door and the median?
BEFORE YOU TEACH
Ensure that children know how to use a tape measure correctly before the lesson and are able to
measure. Some prior work on rounding up and down to the nearest centimetre and half centimetre would also be useful.

License

Gwersi PCAME a Dewch i Feddwl Mathemateg (9 i 11 oed) Copyright © by Ann Longfield, David Johnson, Jean Hindshaw, Linda Harvey, Jeremy Hodgen, Michael Shayer, Mundher Adhami, Rosemary Hafeez, Matt Davidson, Sally Dubben, Lynda Maple, and Sarah Seleznyov. All Rights Reserved.

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