# So, what if ... by Ian F Hailes

A collection of Mathematical Investigation & Inquiry Assessment Items and Modelling Activities. Expect great things from your students!

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A collection of Mathematical Investigation & Inquiry Assessment Items and Modelling Activities. Expect great things from your students!

#### Investigation: Vectors in Space.

A Mathematical Investigation Assessment Item for Yr 12 Mathematics Specialists (in WA MAS Units 3&amp;4) on 3D Vectors.

#### That we know of yet: Railway Track

Designed to assist both teachers and students with embracing mathematics at the next level. I find it most disparaging to hear teachers say - my students wouldn’t be able to do that. Expect great things from your students! Each activity has something for Year 6 through to 8 and could be explored in any style of engagement. I have attempted to embrace algorithmic thinking, Excel spread sheeting, Python coding, STE(A)M and AI. Mathematics has a rich tradition of exploring at the frontiers of our understanding.

#### Five Step Problem Solving: Less is more

This five step approach to problem solving provides detailed solutions.

#### Investigation: Addition and Subtraction Strategies

A Mathematical Assessment Item looking at Addition and Subtraction Strategies for calculating perimeter and area. Appropriate for Years 7-9.

#### Investigation: Boundary Encounters

A Mathematical Assessment Item for Years 7-9 looking at a variety of encounters at the boundary.

#### Investigation: DEs, Separation of Variables, Slope Fields, Exponential Model

A Mathematical Investigation Assessment Item for Mathematics Specialist students (in WA MAS Units 3&amp;4) looking at Differential Equations. It consists of a Take Home component and a Validation Test.

#### Investigation: Don't Rubbish the Bin

A Mathematical Investigation Assessment Item for Year 9 &amp; 10 students.

#### Investigation: Every square is a rhombus but not every rhombus is a square.

A Mathematical Investigation Assessment Item for Year 7 &amp; 8 students that explores the properties of rhombuses and squares, including reference to GeoGebra and Python.

#### Investigation: Formulate a DE to Solve an Equation

A Mathematical Investigation Assessment Item for Year 12 Mathematics Specialists (in WA MAS Units 3&amp;4) looking at Numerical Analysis including Newton-Raphson.

#### Investigation: Modelling for Sewer Lid (Cover) Safety.

A Mathematical Investigation Assessment Item for Year 9 &amp; 10. If I tell you what it’s about you’ll have nothing to investigate!

#### Investigation: Bezier Parametric Curves

A Mathematical Investigation Assessment Item for Mathematics Specialist (WA MAS Units 3&amp;4) looking at Bezier Parametric Equations and including Matrices. It consist of both a Take Home component and Validation Test.

#### Investigation: The Algorithmic Production of Knowledge.

A Mathematical Investigation Assessment Item for Year 8 &amp; 9 looking at algorithms with Excel and Python.

#### Investigation: The Continuity Principle can surprise us.

A Mathematical Investigation Assessment Item for Yr 10 Ext. - Yr 11 Mathematics Specialists (in WA MAS Units 1&amp;2). Enjoy the surprise!

#### Investigation: The most important curve in the world.

A Mathematical Investigation Assessment Item for Yr 12 Mathematics Specialist (in WA MAS Units 3&amp;4) looking at the logistic function, including the use of GeoGebra.

#### Investigation: Where's the Point?

A Mathematical Investigation Assessment Item for Yr 9 &amp; 10, including GeoGebra and Python.

#### Modelling: Eyes Up or Down

A Mathematical Modelling Activity for all ages.

#### Inquiry: But which Thousand Words?

A 15-minute Mathematical Inquiry Assessment Item for Junior and Middle Secondary.

#### STREAM Pasta Pizza Potato

A middle secondary mathematics activity to facilitate Science, Technology, Reading wRiting, Engineering, Arts, Mathematics (STREAM).

#### Investigation: A Borderline Case

A Mathematical Investigation Assessment Item for Years 9-11 looking at Nearest-Neighbour Iteration.

#### Investigation: Numerical Integration

A Mathematical Investigation Assessment Item for Year 12 Mathematics Specialists (in WA MAS Units 3&amp;4) looking at Numerical Integration and incorporating Desmos.