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Number Play · Explore the Collatz process · 3:42

You'll learn: Understand what an unproved conjecture means

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You'll learn: Understand what an unproved conjecture means

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Explore the Collatz process

1

Two rules create a number journey
3:28
Two rules create a number journey
You'll learn: Apply half for even numbers and three times plus one for odd numbers

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Estimate quantities sensibly

2

Estimate using a small count
3:37
Estimate using a small count
You'll learn: Use representative groups to estimate a larger quantity
Choose a sensible scale for an estimate
3:33
Choose a sensible scale for an estimate
You'll learn: Check whether a result is plausible

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Explore games and winning strategies

2

Work backwards in a counting game
3:32
Work backwards in a counting game
You'll learn: Find useful target totals for adding one two or three
Change the rules and rethink the strategy
3:40
Change the rules and rethink the strategy
You'll learn: Adapt reasoning when the target or allowed move changes

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Turn a question into a small data collection

2

What do we need to find out
3:30
What do we need to find out
You'll learn: Turn a practical question into collectable responses
Collect data consistently
3:44
Collect data consistently
You'll learn: Record each response once in useful categories

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Organise observations with tally marks

2

Tallies help us keep count
3:30
Tallies help us keep count
You'll learn: Record observations in groups of five
Turn tallies into a frequency table
3:48
Turn tallies into a frequency table
You'll learn: Read category counts and verify totals

Next topic

Read a pictograph and its key

2

A picture can stand for several objects
3:28
A picture can stand for several objects
You'll learn: Use a key to interpret a pictograph
Half a symbol has a meaning too
3:24
Half a symbol has a meaning too
You'll learn: Read a partial symbol when the key permits it

Next topic

Construct a pictograph

2

Choose a useful pictograph key
3:38
Choose a useful pictograph key
You'll learn: Balance space and accurate representation
Build and check the picture display
3:38
Build and check the picture display
You'll learn: Convert counts into a titled labelled pictograph

Next topic

Choose and read a bar graph scale

2

A bar height represents a count
3:47
A bar height represents a count
You'll learn: Read categories and values from the axes
The scale determines the reading
3:36
The scale determines the reading
You'll learn: Interpret equally spaced marks with different numerical steps