3 hours Year 9 Core Spring Term Unit 12 Probability; Fractions, decimals, percentages, ratio and proportion

NNS 66–69, 276–283

Autumn Term

Spring Term

Summer Term

Support (from Y8 teaching programme)
• Know that if the probability of an event occurring is p , then the probability of it not occurring is 1 – p ; find and record all possible mutually exclusive outcomes for single events and two successive events in a systematic way, using diagrams and tables.
• Understand that (a) if an experiment is repeated there may be, and usually will be, different outcomes (b) increasing the number of times an experiment is repeated generally leads to better estimates of probability.

Core (from Y9 teaching programme)
• Use the vocabulary of probability in interpreting results involving uncertainty and prediction
• Use efficient methods to add and subtract fractions
• Identify all the mutually exclusive outcomes of an experiment; know that the sum of probabilities of all mutually exclusive outcomes is 1 and use this when solving problems .
• Estimate probabilities from experimental data
• Compare experimental and theoretical probabilities in a range of contexts; appreciate the difference between mathematical explanation and experimental evidence.

Extension (from Y9 objectives for able pupils)
• Understand relative frequency as an estimate of probability and use this to compare outcomes of experiments

Starters

Main

ICT

Scaffolding

Key Questions

Notes

KS3
~ T5 Snapper 15: Fairground games (probability)

KS3
~ Y9 PR minipack: About / Higher/ lower / Calculator quick

SUMMUS
~ 24 game Fractions

 

CORNWALL / Framework
~ HD4

 

MAP

~ Relative Frequency

KS3
~ L3-L5 9D2.1 Probability L5
~ T5 Add-on 12: Handling data: probability Stinger 15: Fair games (probability) Top Ten Z3 and Z4

KS3 T5
~ Add-on 3: Percentages and fractions
~ 6 Adding, ordering and equivalent fractions

SMILE
~ Fractions to decimals match L6

MEDIAN
~ Single dice / two dice – a fair game L6
~ Two dice times L6

WORCS
~ Unbeatable dice L7

BOTM
~ Y9 Probability
~ Y9 Fractions

HORN, Cornwall
~ How many times? 3

~ Number line
~ Spider diagram
~ Probability recording sheets
~ Possibility space diagrams
~ Tree diagrams

Give me examples of mutually exclusive events.

Selection (say 10) of different coloured counters in a bag. Pick and replace several times. At each pick, what do you think the colours of the 10 counters are? How can we be even more sure?


How can you make a game fair?

A coin is flipped 10 times and you get 2H and 8T, is this coin biased?

 

MAP - Level Ladders

~ Probability
~ Fractions