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Transcript 
Flowing Numbers Task
Original
Task
Extension
Ideas
Task 1
Task 2
Task 3
Task 4
Task 5
Task 6
Task 7
Task 8
NC Level 4 to 8+
Flowing Numbers Original Task
Divide by 2
Answer A
Choose an
even number
Answer B
Multiply by 4
1.
Calculate:
2.
What do you notice?
Home
Answer B – Answer A
Flowing Numbers
Easier Start
Replace Multiply by 4 with x 3 [ or x 5, x 7, …]
Variations
Change the rules for example
+3 and -2
+5 and -4
x2 and +3
x3+2 and -1
+1 x 3 and -2 etc…
Extension
Find pairs of rules that result in the result B–A being the same as the start number
Or double the start number …
Home
Flowing Numbers 1
Subtract 1
Answer A
Choose an
odd number
Answer B
Multiply by 2
1.
Calculate:
2.
What do you notice?
Home
Answer B – Answer A
Change to Subtract 3, 5, 7, …
Try an even number
Flowing Numbers 2
Divide by 2
Answer A
Choose an
even number
Answer B
Multiply by 3
1.
Calculate:
2.
What do you notice?
Home
Answer B – Answer A
Change to Multiply by 4, 5, 6, …
Try an odd number
Flowing Numbers 3
Divide by 2
Answer A
Choose an
even number
Answer B
Multiply by 3
1.
Calculate:
2.
What do you notice?
Home
Answer B – Answer A
Change to Subtract 3 or 5
Flowing Numbers 4
+4
Answer A
Choose a
number
Answer B
x3
What number must you choose to get
Answer B = Answer A?
Home
Try different similar functions
Answer A = twice Answer B?
Flowing Numbers 5
x2
Answer A
Choose a
number
Answer B
x3-5
What number must you choose to get
Answer B = Answer A?
Home
Try different similar functions
Answer A = twice Answer B?
Flowing Numbers 6
x2+1
Answer A
Choose a
number
Answer B
x3-5
What number must you choose to get
Answer B = Answer A?
Home
Try different similar functions
Answer A = twice Answer B?
Flowing Numbers 7
+ 1 then / 3
Answer A
Choose a
number
Answer B
x3-5
What number must you choose to get
Answer B = Answer A?
Home
Try different similar functions
Answer A = twice Answer B?
Flowing Numbers 8
+ 1 then / 2
Answer A
Choose a
number
Answer B
x 3+4 then /3
What number must you choose to get
Answer B = Answer A?
Home
Try different similar functions
Answer A = twice Answer B?
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