The focus of this activity is for students demonstrate a systematic approach to trialing and recording possible solutions. Students are encouraged to explain the method they used, compare solutions and prove they have found all the possible solutions.

##### Purpose

- Identify the qualities of a good mathematician
- Demonstrate the qualities of a good mathematician
- Explain and record thinking using a systematic approach
- Identify and explain horizontal, vertical and diagonal lines
- Use location words to describe directions
- Recognise and explain shape transformations

##### Curriculum Connections: NSW SYLLABUS

##### STAGE 3

- Investigate combinations of translations, reflections and rotations, with and without the use of digital technologies (ACMMG142)

##### At the end of this lesson students should be able to answer the following questions

- What is vertical/horizontal/diagonal?
- Do you think there is more than one method?
- How can you record your thinking?
- Is your strategy systematic?
- Can you prove that you have found all the methods?
- Can you describe the path you created?
- Can you explain how different pathways are related, i.e. using knowledge of shape transformations?

*For more information, please download the attached lesson plan*.

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