Class

Week

Time: 3 hrs Total of 6 hrs

(Part 2 of 2): handling data displays, probability

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

1 hr
Oral work reviewing shaded fractions of circles

OR

Oral work reviewing equivalence of fractions / decimals / %s
- Interpret diagrams & graphs (including pie charts), and draw conclusions based on the shapes of graphs & simple statistics for a single distribution

pie charts
angle
degree (°
)fraction

Use a large pie chart on OHP / board, with sectors of angles:
50%, 25%, 75% & use to discuss how to interpret relevant information from the angles;
Extend to other angles
Activity Suggestions:

In pairs / groups: discuss & interpret a number of pie-charts, interpreting angles as fractions, decimals or %s
Demo of a pie chart 'Population Age Groups'
Pp 268 - 270
L2

1 hr
Use a 0 - 1 no. line upon which to place 10 events, such as:
It will rain tomorrowI will live to be 100..
- Understand & use probability scale from 0 - 1; find & justify probabilities based on equally likely outcomes in simple contexts; (identify all the possible mutually exclusive outcomes of a single event)

- Collect data from a single experiment & record in a frequency table; estimate probabilities based on this data
certain, uncertain

chance, no chance, good
chance, poor chance, 50-50
chance, even chance

likely, unlikely
likelihood
doubt
possible, impossible
probability
probability scale
likelihood

riske
stimate
dice
spinner
'Higher or Lower' card game - (0 -9, display a card, class to predict next card). Discuss language used; place each event & their key word on probability scale.
Extend to dice throws / full card deck
In pairs:

1) Written activity placing different events on a probability scale, eg: I will have chips for tea ...

OR Interactive Likelihood Scale & Interactive Probability Scale

2) Written activity on mutually exclusive outcomes of an event, such as the throwing a dice eg: P(3)? P(factor of 6)?

3) Probability experiments, such as on page 280

Including :

- a prediction, where appropriate of probabilities
- a frequency table
- an estimate of probabilities based on results obtained (? Y9 'relative frequencies')
Review probability as a fraction, using variety of contexts, eg: cards, coloured counters ...arriving at a working rule for probability, eg: P = no. favourable outcomes Total no. of possible outcomes
pp 276 - 280

display a card numbered 0 -9
L3

1 hr
'Which is more likely...? throwing a square number on a dice? ...a multiple of 2? ... a prime numbers? ...a factor 0f 8?
Extend to deck of cards, in preparation for probability contexts
Ask a pupil to withdraw a cube from a bag containing 5 - 10 coloured cubes. Replace & repeat. Continue until pupils are able to estimate no. of each colour in the bag. Experimental P? Theoretical P? Why do these seem to be different?
'Unfair Games':
use a weighted spinner with class to collect some results. Discuss whether spinner is fair or unfair; linking expected P with obtained P results
P 280