Alberta Big Ideas4
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Transcript Alberta Big Ideas4
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©Marian Small, 2011
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7. Throw computer out©Marian
the window
(haha
kidding!!)
Small,
2011
Professional Development Resource
Developed by ERLC/ARPDC as a
result of a grant from Alberta
Education to support implementation
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Overview of Elluminate
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Introductions
A = microphone
B = chat box
C = pass
Please tell us ….
1. Which math courses/grades you are
teaching
2. What brought you here today.
3. Whether or not you’ve participated in
an Elluminate
meeting
before.
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Small, 2011
Big Ideas 4 - 6
Session 1
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Alike and different
• Which pair of numbers are most alike?
• Vote for A, B or C. I’ll ask some of you to
explain your thinking.
A: 30 and 40
B: 55 and 155
C: 98 and 102
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A big idea
• Classifying numbers helps us gain more
insight into those numbers.
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Big ideas are meant to…
• Help you as a teacher see what you are
really going for.
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Big ideas are meant to…
• Help you as a teacher see what you are
really going for.
• Provide you with a teaching framework- to
see how outcomes are connected.
©Marian Small, 2011
Big ideas are meant to…
• Help you as a teacher see what you are
really going for.
• Provide you with a teaching framework- to
see how outcomes are connected.
• Give purpose to the activities you do
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Big ideas are meant to…
• Help students build connections
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Big ideas are meant to…
• Help students build connections
• Help students see the forest for the trees
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The four sessions
• Session 1– A focus on number
• Session 2 – A focus on operations
• Session 3 – A focus on patterns and
relations and statistics and
probability
• Session 4 – A focus on shape and space
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Let’s go back to ..
• The big idea about classifying in number.
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Or maybe
• Which number doesn’t belong? Vote.
• I will ask some of you to explain your
thinking.
A: 6
B: 18
C: 27
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D: 90
Try this
• You are going to write a number the
“regular” way, e.g. 34 or 2 or 619, etc.
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Try this
• You are going to write a number the
“regular” way, e.g. 34 or 2 or 619, etc.
• When you read the number, some of the
words you say are: hundred, three, fifty,
twenty, thousand, six
• What could the number be?
• Write some possibilities on the next screen.
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hundred, three, fifty, twenty,
thousand, six
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Possible answers
• 26 350
• 53 621
• 121 653
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What’s the big idea?
• What ideas did you see being brought out in
that question?
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What’s the big idea?
• What ideas did you see being brought out in
that question?
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Or try this (same big idea)
• You can use exactly 15 base ten blocks to
represent a number.
• What could the number be? How do you
know?
• List some possibilities on the next screen.
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15 blocks
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Maybe
•
•
•
•
276
555
924
771
15
150
240
402
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• Which of these would you find easier to
count? Why? Vote for A or B.
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A
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B
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B
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Related
• How does this big idea relate to using tally
marks?
• Raise your hand for me to call on you.
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• How could you represent 175 to show that:
It is 7 groups of 25?
• Respond by drawing on the next slide.
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• 175 as 7 groups of 25
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• The big idea is===
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• How could you represent 175 to show that:
It is 25 short of 200? Draw on next slide.
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• 175 is 25 short of 200.
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• I could ask: How could you represent 175 to
show that it is 17 tens and 5 more?
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How does thinking of 138 and 173 in terms of
150 help you decide which is greater?
Raise your hands to respond.
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How does thinking of 138 and 173 in terms of
150 help you decide which is greater?
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A newspaper reports that about 150 people
attended a meeting.
Exactly how many people do you think that
might be?
Write a possible number on the next slide.
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A newspaper reports that about 150 people
attended a meeting.
Exactly how many people do you think that
might be?
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Or
List your two numbers on the next slide.
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|
0
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What fractions are modelled
here?
List some
possibilities
on the next
slide.
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Fractions
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So how come…
• 2/3 of a set means the same thing as 2/3 of
a whole?
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So how come…
• 2/3 of a set means 2 ÷ 3
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So how come…
• 2/3 of a set means 2 ÷ 3
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So…
• Which is more: 2/3 or 3/5?
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So…
• Which is more: 2/3 or 3/5?
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Or…
• What fraction does the green pattern block
represent?
• Raise your hand.
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Or…
• What fraction does the green pattern block
represent?
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Could it be…?
• 1/6?
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Could it be…?
• 1/3?
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Could it be…?
• 1/2?
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Could it be…?
• 4/5?
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Could it be…?
• 4/5?
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More and less
• A fraction is slightly less than 1/2. What
might it be? How do you know?
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More and less
• A fraction is slightly less than 1/2. What
might it be? How do you know?
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When…
• When might you change 0.25 to a fraction
to multiply with it?
• Raise your hand to answer.
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When…
• When would you definitely leave it as a
decimal to multiply?
• Raise your hand to answer.
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Which way?
• We know that decimals can all be written as
fractions.
• When might it be useful to write fractions
as decimals?
• When might it not be?
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Big Idea
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Comparing decimals
• Which is greater? How do you know?
• Is it 0.4 or 0.19?
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Comparing decimals
• Which is greater? How do you know?
• Is it 0.4 or 0.19?
• Raise your hand to explain how you know.
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Comparing decimals
• Which is greater? How do you know?
• Is it 0.4 or 0.19?
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I am hoping that :
• you will try out one of the questions we
discussed or, even better, your own question
to bring out a big idea in number.
• We’ll talk about the results next time.
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Survey Link
• You will be taken to the survey when you
exit this session
• If you are unable to complete the survey at
this time, please copy the survey link and
you can complete the survey at your
convenience. Thanks!
©Marian Small, 2011