Download Statistics (Data) and Probability (Chance)

Statistics (Data) and Probability (Chance) 5_Guided and Independent Investigations
(Year 2) ACMSP047, ACMSP048, ACMSP049, ACMSP050 NSW MA1 17SP MA1 18SP
Describe likelihood using chance language.
sentences.
GUIDED INVESTIGATION
Children learn how to investigate the concept by following teacher’s instructions until they are
ready to investigate the concept independently.
Resources:
INDEPENDENT INVESTIGATION
Children investigate and explain independently over many lessons at their
current level of understanding informing both themselves and the teacher of their current
level of understanding
pencil, cards with events and chance words listed
What could we do?
What language could we use to
ask questions and explain?
 What event have we
selected?
Children:
1. sit in pairs
2. select a card with an event recorded as
guided by the teacher
3. describe likelihood of the event occurring
using chance language
 How could we describe
the chance that this
event will happen?
Children:
 My event is …
1. sit in pairs
 I could describe the chance
that this event will happen
as …
2. select a card with an event
recorded that is neither too easy
nor too challenging
3. describe likelihood of the event
occurring using chance language
4. select a chance word to describe the
likelihood
4. select a chance word to describe
the likelihood
REFLECTION Before, during and after lessons, children discuss then record
responses to reflection questions to inform themselves and the teacher of their current
level of understanding.
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Email: [email protected]
Twitter: @learn4teach
What language could we use to
explain?
What could we do?
What is chance?
What words can we use to describe chance?
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1
Events and Chance Words
(back)
It will rain today
You will eat some
fruit today
You will fly to the
moon today
pat a dog today
You will have a
sandwich for lunch
It will be sunny on
Saturday
It is your friend’s
birthday
You will read a book
today
You will travel in a
car today
Tuesday will come
before Wednesday
this week
Thursday will come
before Tuesday this
week
You will have
chicken for dinner
certain
uncertain
likely
unlikely
possible
impossible
more likely
less likely
Website: http://www.alearningplace.com.au
Email: [email protected]
Twitter: @learn4teach
YouTube: A Learning Place A Teaching Place
Facebook: A Learning Place
2
CONGRUENT INVESTIGATIONS
If you can’t explain it
simply, you don’t
understand it well enough.
These investigations allow children to investigate and explain the concept in new and varied situations, providing formative assessment
data for both the child and the teacher.
‘Doing’ mathematics is not enough and is not a good indicator of understanding.
Anyone who has
Investigation takes time as children develop both the capacity and meta-language to explain mathematical concepts
never made a
at their current level of understanding.
mistake has never
tried anything new.
As they investigate, allow children to experience confusion (problematic knowledge) and to make mistakes to develop
resilience and deep understanding,

In pairs, children take turns to select an event card. They discuss the likelihood of the event, then each select a chance word
to describe the likelihood. Children identify when they each chose the same chance word, and when they each chose a
different chance word. For example, one child may choose ‘likely’ for ‘You will travel in a car today’ while their friend may
choose ‘unlikely’.

In pairs, children take turns to suggest an event. They discuss the likelihood of the event, then each select a chance word to
describe the likelihood. Children identify when they each chose the same chance word, and when they each chose a different
chance word.

In pairs, children select 2 event cards. They discuss the likelihood of the event. Each child then selects either ‘more likely’ or
‘less likely’ to describe the likelihood. Children identify when they each chose the same chance word, and when they each
chose a different chance word.

In pairs, children list 5 events. They each record a chance word next to each event. At the end of the day, children review
their list, identifying which events happened and which didn’t. They identify if their chance words were correct.
Website: http://www.alearningplace.com.au
Email: [email protected]
Twitter: @learn4teach
YouTube: A Learning Place A Teaching Place
Facebook: A Learning Place
3
Investigating Describing Likelihood of Events using Chance Language
STATISTICS (DATA) AND PROBABILITY (CHANCE) 5 Describe likelihood of events using chance language
Sit with a friend.
Have cards listing familiar events, or make your own.
Select a card one at a time and describe the likelihood of the event occurring using
chance language
Select a chance word to describe the likelihood
Did you both choose the same chance word? Why?
http://www.alearningplace.com.au
Investigating Describing Likelihood of Events using Chance Language
STATISTICS (DATA) AND PROBABILITY (CHANCE) 5 Describe likelihood of events using chance language
Sit with a friend.
Select 2 event cards.
Discuss the likelihood of the event.
Each of you then selects either ‘more likely’ or ‘less likely’ to describe the likelihood.
Identify when you each chose the same chance word, and when you each chose a
different chance word.
http://www.alearningplace.com.au
Investigating Describing Likelihood of Events using Chance Language
STATISTICS (DATA) AND PROBABILITY (CHANCE) 5 Describe likelihood of events using chance language
Sit with a friend.
List 5 events that may happen today.
Record a chance word next to each event.
At the end of the day, review your list, identifying which events happened and which
didn’t.
Identify if your chance words were correct.
http://www.alearningplace.com.au
It will rain today
You will eat some
fruit today
You will fly to the
moon today
pat a dog today
You will have a
sandwich for lunch
It will be sunny on
Saturday
It is your friend’s
birthday
You will read a book
today
You will travel in a
car today
Tuesday will come
before Wednesday
this week
Thursday will come
before Tuesday this
week
You will have
chicken for dinner
certain
uncertain
likely
unlikely
possible
impossible
more likely
less likely
http://www.alearningplace.com.au