Class

Week

Time: 3 hrs Total of 6 hrs

(Part 1 of 2): 3 averages & range, handling data displays

Lesson No.
Mental Starters
Learning Outcomes
Key Vocabulary
Introductory Ideas
Main Activity
Plenary
Resources
L1

1 hr
Practise mental division of 2-digit numbers by 1-digit numbers,
- Calculate statistics for small sets of discrete data

- Find mode, median & range; and modal class for grouped data

- Calculate mean, including from a simple frequency table, using a calculator for a larger number of items

average
mode
modal class
modal group
median
mean
range

discrete data
grouped data
(frequency) table
tally

Use an introductory Q such as: 'What's the average height in this room?' to allow a discussion that includes the 3 types of average & range.
Define 3 averages & mean.
Activity Suggestions:

1) Complete 'average height' activity & compare 3 averages; (discuss which average is most & least representative & why); range
A5 plenary cards with mean, mode, median & range values for some hidden number lists. Whole class participation to work out the hidden number lists
Pp 256 - 260

16 x A5 plenary cards
L2

1 hr
'Show Me' Cards or number fans to find the mean of 3 or 4 lists of numbers;

OR

Sparks 23:Averages
Recap mean in context for longer list of numbers, & use to highlight need for a table.
Eg: 'how many brothers?' for 30 pupils.
1) Collect data from class on a variety of issues, (eg: how many coins does each pupil have?) Use to produce frequency table & calculate mean (& range).

2) Extension:: grouped data

OR

3) 'Your Nation' geographical data (wide range of statistics on over 100 countries)

OR

4) Data Handling Games
Recap method of calculating mean; compare mean result in 1 of the activities with mode & median.
Discuss usefulness of 3 different means
Pp 256 - 260

'Show Me' Cards

Number fans
Sparks 23: Averages
L3

1 hr
Show a bar chart / bar-line graph on OHP / board & ask for useful sentences about them.
- Interpret diagrams & graphs (including pie charts), and draw conclusions based on the shapes of graphs & simple statistics for a single distribution
frequency diagram
bar chart
bar-line graph
compound bar chart
pie charts
Show same bar chart / bar-line graph, but with different scales for discussion.
Link to previous work on frequency tables.
1) In pairs / groups: discuss & interpret a number of diagrams, to include:bar charts, compound bar charts, bar-line graphs

OR

2) 'Your Nation' geographical data (wide range of statistics on over 100 countries)
Allocate to each of 4 pupils

1) long list of nos,

2) related frequency table,

3) bar chart &

4) bar-line graph; rest of class to ask Qs such as 'most popular number?'; discuss which of 4 pupils found it easiest to answer & why.
Pp 268 - 270

Range of graphs & charts