Unit 3 – HD1 - Pearson Schools and FE Colleges

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Sacred Heart Mathematics Department : Connect 2B
Unit 3 – HD1 – Probability – 9 lessons
Extension Connect 2R
Les- Lesson title
son
Objectives
Use the language of probability when
interpreting the results of an experiment
Know that if the probability of an event
occurring is p, then the probability of it
not happening is 1 – p
Know that the sum of probabilities of
all mutually exclusive outcomes is 1
and use this when solving problems
Identify all the mutually exclusive
outcomes of an experiment
1
Find and record all possible outcomes for
two or more successive events in a
systematic way, using tree diagrams
3–4
Estimate probabilities from experimental
data
5
3.4 Estimating
probability
Estimate probabilities for experimental data
Compare the likelihood of events
Understand that if an experiment is
repeated there may be, and usually will
be, different outcomes
Increasing the number of times an
experiment is repeated generally leads to
better estimates of probability
Appreciate that random processes are
unpredictable
Compare experimental and theoretical
probabilities in a range of contexts
Appreciate the difference between
mathematical explanation and
experimental evidence
6
3.5 Better
estimates of
probability
Understand that if an experiment is repeated there may be, and usually
will be, different outcomes
Increasing the number of times an experiment is repeated generally
leads to better estimates of probability
Appreciate that random processes are unpredictable
2
3.1 Probability
Use the language of probability when interpreting results
Know that if the probability of an event occurring is p, then the
probability of it not happening is 1 – p
Starter FrameNo
work
20
3.2 Diagrams and Find and record all possible mutually exclusive outcomes for a single
tables
event in a systematic way, using diagrams and tables
5
7–8
9
3.3 Tree diagrams Find and record all possible outcomes for two successive events in a
systematic way, using tree diagrams
3.6 Comparing
probabilities
Compare experimental and theoretical probabilities
TESTING
End of unit test. Mental Arithmetic. Review Test
6
9
Support Connect 2G
Use the vocabulary of probability
Understand and use the probability
scale from 0 to 1
Find and justify probabilities based
on equally likely outcomes in simple
contexts
Find and record all possible mutually
exclusive outcomes for single events
and two successive events in a
systematic way, using diagrams and
tables
Collect data from a simple
experiment and record in a frequency
table
Estimate probabilities based on
experimental data
12
Compare experimental and theoretical
probabilities in simple contexts
19
Oral objectives:
Badger
Add and subtract several small numbers or several multiples of 10, e.g. 250 +
27
120–190
Use jottings to support addition and subtraction of whole numbers and
27
decimals
Calculate using knowledge of multiplication and division facts and place
2
value, e.g. 432  0.01, 37  0.01
5
Recall multiplication and division facts to 10  10
Key Words:
ICT/Additional
Resources
event, outcome, sample space, random, tree diagram, theoretical probability, estimated probability, unpredictable, reliable
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