# Geometry prompts

# Shapes and angles

**Mathematical inquiry processes: **Explore and test cases; find rules; generalise. **Conceptual field of inquiry: **Measurement of angles; interior angles of polygons; inscribed shapes inside circles.

**Mathematical inquiry processes: **Interpret; explore; find rules; generalise.** ****Conceptual field of inquiry: **Measurement of angles; angle properties of regular pentagons and rhombuses; interior and exterior angles of polygons.

**Mathematical inquiry processes: **Test and classify cases; counter-example; draw conclusions; reason. **Conceptual field of inquiry: **Types of quadrilaterals; midpoints; coordinates and vectors.

**Mathematical inquiry processes:** Interpret; explore; find rules; generalise. **Conceptual field of inquiry: **Angle properties of equilateral triangles; tessellation.

**Mathematical inquiry processes: **Interpret; explore; generate other examples; find rules. **Conceptual field of inquiry: **Angle properties of straight and parallel lines; independent and dependent angles.

**Mathematical inquiry processes:**** **Test cases; reason; generalise to other cases; prove. **Conceptual field of inquiry: **Tessellation; rotation and translation.

**Mathematical inquiry processes: **Explore; generate and classify more examples. **Conceptual field of inquiry: **Area; describe shapes; fractions and percentages.

# Area and perimeter

**Mathematical inquiry processes: **Generate examples; analyse structure; reason. **Conceptual field of inquiry: **Area and perimeter; formulae; pi (*π*).

**Mathematical inquiry processes: **Explore; test particular cases; change the condition; reason. **Conceptual field of inquiry: **Area; formulae; √2.

**Mathematical inquiry processes: **Interpret conditions; analyse structure; reason. **Conceptual field of inquiry: **Area; compound areas; Pythagoras' Theorem; fractions and percentages.

**Mathematical inquiry processes: **Interpret; analyse structure; reason. **Conceptual field of inquiry: **Area; Pythagoras' Theorem and trigonometry; fractions and percentages.

**Mathematical inquiry processes: **Interpret; define parameters; explore. **Conceptual field of inquiry: **Area and perimeter; formulae.

# Volume and surface area

**Mathematical inquiry processes: **Explore; test particular cases; reason. **Conceptual field of inquiry: **Surface area; volume; geometrical solids.

**Mathematical inquiry processes:** Set conditions; generate examples; test particular cases; represent; reason. **Conceptual field of inquiry: **Volume of geometrical solids; formulae; graphs and turning points.

# Transformations

**Mathematical inquiry processes:** Generate examples; test particular cases; analyse structure. **Conceptual field of inquiry: **Reflections, rotations and translations; combined transformations.

**Mathematical inquiry processes:** Generate examples; test particular cases; analyse structure. **Conceptual field of inquiry: **Reflections and other transformations; coordinates.

# Enlargement and scale factor

**Mathematical inquiry processes:** Interpret; generate more examples. **Conceptual field of inquiry:** Enlargements (positive and negative); other transformations.

**Mathematical inquiry processes:** Verify; test particular cases; analyse structure; reason. **Conceptual field of inquiry: **Surface area and volume; Length, area and volume scale factors of enlargement.

# Pythagoras' Theorem and trigonometry

**Mathematical inquiry processes: **Generate more examples; conjecture; create and test particular cases. **Conceptual field of inquiry: **Pythagoras' Theorem; trigonometry; sequences; algebraic expressions for the *n*th term of a sequence; expanding double brackets; area.

**Mathematical inquiry processes: **Generate more examples; conjecture; create and test particular cases. **Conceptual field of inquiry: **Sine and cosine rules; sequences; algebraic expressions for the nth term of a sequence.

**Mathematical inquiry processes: **Explore; test particular cases; analyse structure; reason. **Conceptual field of inquiry: **Area of a triangle using the sine of an angle.

# Miscellaneous

**Mathematical inquiry processes: **Interpret; explore; test particular cases. **Conceptual field of inquiry: **Volume of a pyramid; circumference and perimeter.

**Mathematical inquiry processes: **Identify properties; generate more examples; analyse structure. **Conceptual field of inquiry:** Area; fractions; ratio.