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The representation and organisation of information allows us to identify connections between the experimental and theoretical fairness in games of chance.

Factual: What is the relationship between experimental probability and  theoretical probability?

Conceptual: Why is a game fair or unfair?

Debatable: Is there such a thing as luck?
Should you play an unfair game

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Personal and communal identities about students in Year 7 can be communicated through justified representation.

Factual:
How do we find the mean/median/mode/range?
How do we draw a bar chart/pie chart/pictogram?

Conceptual:
Why do we find measures of location/dispersion?
Why do we use alternative graphical representations of data?

Debatable:
Does the mean (etc) give a more appropriate measure of location than the median (etc)?
Does a bar chart show the information more effectively than a pie chart?

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SOI: Change in the form and/or measurement of a shape impacts on it’s orientation in space.

Factual: How do we measure the area of polygons? What units can we use for length and area? What is a net? What is the difference between area and perimeter? How can we represent size on paper?

Conceptual: What is area? How are the formulas for space inside a shape derived? Can size be represented on paper? How can you describe a shape? How can the form of a shape be represented on paper? Can different shapes have the same area? If the sides of a shape are doubled, does the area also double?

Debatable: Are regular shapes more aesthetically pleasing? Can everything be broken down into a few basic shapes?

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SOI: Relationship helps depict the change through modelling.

Factual:

What is the definition of model?

What is Quadratic Relationship？

What is difference between Quadratic Relationship and Linear Relationship?

How can we use a model to show change in a situation?

Conceptual:

How do the turning points take effect in a Quadratic relationship?

Debatable:

Can the Quadratic Relationship always be modelled correctly?

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Geometric art forms allows us to Represent Relationships in our Model

Factual
What is the difference between a linear and non linear relationship?

What happens when variables are changed in quadratic function?

Conceptual
45TY

Debatable
Does a  model give us the freedom for personal and cultural expression?

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SOI: Logic can be used to justify decisions through representing and processing data.

Factual:

What logical methods can be used to complete each stage of a statistical data investigation?

Conceptual:
How can we use the various representations of data and averages to justify decisions?

Debatable:
Do data provide answers to global problems? Can one person's decision make a difference?

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Spatial relationships in models may be used in architectural forms.
Factual:
How are the angle relationships affected when parallel lines are cut by a transversal?
Conceptual:
How can we model an architectural structure using angles?
Debatable:
Can someone build an architectural structure successfully without a knowledge of geometry?

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Discovering relationships through modelling to understand the impact of humankind to our world.

Factual: What does it mean to model a relationship?

Conceptual: How do we make connections of models to real life?
Debatable: Is it always useful to apply a model and why?