Instructions for January 22 and January 25: you are going to research the Internal Assessment for this class, called the Math Exploration. Go to this website to find examples of the Math Exploration. Click on a specific paper and you will find three options: 1) the paper, 2) the paper with teacher annotations and 3) the score. Pick any three of the sample explorations and read all three documents for each. When you are done, prepare a 1 to 2 page reflection discussing ideas and tips that you have taken away from these examples and send me your reflection no later than the end of school on Monday. Use my email address: d.smith@pasb.com.br

When you are done, scroll to the bottom of this page and read the grading criteria for the Math Exploration.

When you are done, scroll to the bottom of this page and read the grading criteria for the Math Exploration.

The exploration is a significant part of the course. It is useful to think of it as a developing piece of work, which requires particular skills and strategies. As a general rule, it is unrealistic to expect all students to have these specific skills and to follow particular strategies before commencing the course.

Many of the skills and strategies identified below can be integrated into the course of study by applying them to a variety of different situations both inside and outside the classroom. In this way, students can practise certain skills and learn to follow appropriate strategies in a more structured environment before moving on to working independently on their explorations.

Choosing a topic

A) Communication- 4 points. The exploration is coherent, well organized, concise and complete.

Many of the skills and strategies identified below can be integrated into the course of study by applying them to a variety of different situations both inside and outside the classroom. In this way, students can practise certain skills and learn to follow appropriate strategies in a more structured environment before moving on to working independently on their explorations.

Choosing a topic

- Identifying an appropriate topic
- Developing a topic
- Devising a focus that is well defined and appropriate
- Ensuring that the topic lends itself to a concise exploration

A) Communication- 4 points. The exploration is coherent, well organized, concise and complete.

- Expressing ideas clearly
- Identifying a clear aim for the exploration
- Focusing on the aim and avoiding irrelevance
- Structuring ideas in a logical manner
- Including graphs, tables and diagrams at appropriate places
- Editing the exploration so that it is easy to follow
- Citing references where appropriate

- Using appropriate mathematical language and representation
- Defining key terms, where required
- Selecting appropriate mathematical tools (including information and communication technology)
- Expressing results to an appropriate degree of accuracy

- Working independently
- Asking questions, making conjectures and investigating mathematical ideas
- Reading about mathematics and researching areas of interest
- Looking for and creating mathematical models for real-world situations
- Considering historical and global perspectives
- Exploring unfamiliar mathematics

- Discussing the implications of results
- Considering the significance of the exploration
- Looking at possible limitations and/or extensions
- Making links to different fields and/or areas of mathematics

- Demonstrating knowledge and understanding
- Applying mathematics in different contexts
- Applying problem-solving techniques
- Recognizing and explaining patterns, where appropriate
- Generalizing and justifying conclusions

Below is the assessment rubric for the Math Exploration.

math_hl_exploration_rubric.pdf | |

File Size: | 148 kb |

File Type: |

**Below are suggestions for generating ideas for the math exploration.**

generating_ideas_for_the_math_exploration.docx | |

File Size: | 91 kb |

File Type: | docx |

**Below are ideas for the HL math exploration.**

ideas_for_the_hl_math_exploration.docx | |

File Size: | 35 kb |

File Type: | docx |

**Follow this link for examples of HL explorations, and how they were graded.**