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'What
Next & Why?' activity
- '1st no. is 5, what is next no.?' If pupil guesses
correctly, write inside circle on board / OHS.
Repeat until pupils find why (rule). |
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- Express simple
functions in words, and then using symbols; and
represent them in mappings
- Use letter symbols to represent
unknown numbers or variables
- Suggest extensions to problems by asking 'What
if ...?; and
- Begin to generalise and to understand the significance
of counter-egs |
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function
function machine
generate
input
output
mapping
relationship
sequence
term
predict
solve
solution
generalise
counter-examples |
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Develop 'What
Next? Why?' activity so describe in words
and using number machines;Extend to use with symbols.
Eg:
X x 2 + 8 Y
X = 5, Y?
Y = 30, X?
Table of inputs?
Y = X x 2 + 8 |
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Activity
Suggestions:
1) Use other 'What Next?
Why?' results to generate more number machines,
tables & equations.
2) Explore inverse operations: find input, given
output ? BODMAS).
3) Extend to number machines with more than 2 steps.
4) Mappings
& Number machines
Written / oral activities to write down more word
problems as equations
- using shape symbols, then letter symbols.
Apply in context of shape sequences. Eg: If 1 ?
is made from 3 matchsticks & 2 ?s are made from
5, what if there are 6 ?s? ... 10 ?s?
Repeat for expressions. |
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'What if number
machine in Introductory Idea were to be reversed
?'
OR
'These equations are all functions. What do they
all have in common?(properties of functions: p162) |
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Find the missing
number in equations such as:
? + 2 = 11
? - 2 = 8 |
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'I'm thinking of
a number and when I add 3, I get 7. Solution? How
do I write this down using mathematical shorthand?
Develop from use of symbols, eg; Starter, to use
of a letter |
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Give an equation
with shape or letter symbol & ask for original
word sentence, eg:
7 + x = 20 |
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