Substitution inquiry
Inquiry Maths
Link to the Inquiry Maths website
Inquiry prompt
Inquiry Maths
What question can you ask about the prompt?
What do you notice?
What do you wonder?
Inquiry prompt
Inquiry Maths
Inquiry Maths
Link to the Regulatory Cards
Inquiry Maths
Preliminary task
Inquiry Maths
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Exploration
Inquiry Maths
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Inquiry Maths
Is it possible to find negative numbers, fractions or decimals that satisfy the inequality?
Inquiry Maths
Inquiry Maths
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Inquiry Maths
Inquiry Maths
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Inquiry Maths
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Inquiry Maths
Line of inquiry 2
Change the prompt
Inquiry Maths
Examples
Inquiry Maths
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Change the expressions in the prompt.
Inquiry Maths
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Change the prompt by using three or more variables.
Inquiry Maths
List all the different inequalities you can make.
Line of inquiry 3
Permutations
Inquiry Maths
Inquiry Maths
See the solutions for challenge 1 (slide 24) for an example.
Students can extend the inquiry even further by using more than two variables (see slide 27), by making up their own expressions or by using more than three expressions.
In the last case, they could aim to find values for a and b that satisfy the 24 permutations of the expressions in the original prompt.
Teacher’s notes
Expression 1 | Expression 2 | Expression 3 |
lowest | middle | highest |
lowest | highest | middle |
middle | lowest | highest |
middle | highest | lowest |
highest | lowest | middle |
highest | middle | lowest |
| | | | | Inequality |
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Inquiry Maths
| | | | | Inequality |
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Inquiry Maths
| | | | | Inequality |
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Inquiry Maths
| | | | | Inequality |
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Inquiry Maths
| | | | | | Inequality |
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Inquiry Maths
Line of inquiry 4
A special inequality
Inquiry Maths
Inquiry Maths
Inquiry Maths