# Navigating Early Essay

* Summary:
* After his mother’s death the young Jack Baker is uprooted from his home in Kansas and is placed in a boarding school in Maine. At the boarding school he feels lost and out of place. While trying to impress the boys and find a place in his school, he can’t help but be drawn to one of the misfits, Early Auden. Early is one of the strangest of boys, who reads the number pi as a story and collects clippings about the sightings of a great black bear in the nearby mountains. When Early decides to set out to find Pi and the black bear in his brother’s boat, the legendary “Fish”, Jack decides to join him. Through the course of their journey the boys begin to realize that Early’s story for Pi is starting to become reality as they come in contact with characters like pirates searching for treasure, a Norwegian still pining for his first love, and a 100 year old women still waiting for her son to come home. The irony of the story is that all 3 boys, Jack, Early and Pi, lost their direction in life and through their journeys they find a way to navigate their way back.

Why this book is a good choice for math?
* The number PI is one of the most common constants in all of mathematics. It is an irrational number, which means that its value cannot be expressed exactly as a fraction (when the numerator and denominator are integers). Nobody knows its exact value, because no matter how many digits you calculate it to, the number never ends. In math it’s obvious that we use PI in calculations for finding the circumference of a circle and finding areas of circles, cylinders, cones, and spheres. What most people don’t know is that PI is also used to calculate numbers that are used in different jobs: for example electrical engineers used pi to solve problems for electrical applications, statisticians use pi to track population dynamics and biochemists see pi when trying to understand the structure/function of DNA. * In the novel, Navigating Early, Clare Vanderpool introduces the mystery of PI in a fun creative way that has the reader egger to find the answer of PI. In the beginning, she has a Math teacher, Mr Blane, introduce his course by explaining the number PI as the Holy Grail of mathematics, in other words it is the mysterious number that has entranced mathematicians for milenia.

“Why do I mention this today? Because this year, we are going to embark on a quest of our own to expand our minds, to challenge what we think we know, and push the boundaries of mathematics. If pi, the most venerable number, can be proven to end, what else are we blindly believing that might be put to the test?”

The way Mr. Blane introduces Pi in the start of his class is a great way to have students use their critical thinking skills as to what Pi really is and get them prepared to what they will encounter in the course. The book, Navigating Early is a great tool for any lesson to get the students excited to learn formulas that incorporate PI. It also teaches the students, to always keep going even when you feel like you want to give up.

Inquiry Circle Design
The book will be divided up into 6 sections.
Section 1-3 students will use the role sheets. Each student will switch roles within each group every week. * Section 1: Pages 1-50
* Section 2:Pages 51-109
* Section 3:Pages 110-150
Section 4-6 Students will use the organizers.
* Section 4:Pages 151-198
* Section 5:Pages 199-253
* Section 6:Pages 254-295
1 section per week, Meet once a week for 20 minutes.
Monday| Tuesday| Wednesday| Thursday| Friday|
| | | | Section 1|
| | | | Section 2|
| | | | Section 3|
| | | | Section 4|
| | | | Section 5|
| | | | Section 6|

What will occur in the meetings:
* Go over role sheets
* Discuss essential questions
Materials:
* Book
* Role sheets

For Early, creating a story about the character Pi with the numbers of Pi helped him remember the numbers of Pi. For this assignment you are asked to create your own story to remember the first 15 digits of Pi. 1. You should first brainstorm ideas for your story. The best way to do this is to create a web of ideas. Start with your character, Pi, in the middle of your web and clockwise write ideas for your plot. Make sure you include the numbers of Pi for each idea. You can use either single digits or multiple digits. (NO MORE THAN 2 DIGITS GROUPED TOGETHER!!!)

For example:
There once was a boy named Pi who had 3 older sisters, Alpha, Beta, and Omega. They all lived under 1 house and split the bills by 4’s. They were always happy living with each other until 1 day at school 5 boys we’re making fun of Pi. They bullied Pi saying because he didn’t have a father and lived with all girls he will never grow up to become a man. One boy piped up and said he killed and skinned 9 deer’s and 2 raccoons in the same night. “I’ll show you!” says Pi and leave that night to go into the woods. Pi has never hunted before but with a knife at hand he was willing to try. 6 birds overhead gave warning calls to the rest of the wildlife throughout the woods. Then behind a nearby tree 5 black bear cubs crawled to Pi. Pi laughed and played with the little cubs until suddenly 3 momma bears ran to attack Pi. Pi thought he was a goner until 5 grey adult wolves came and save Pi’s life. When Pi arrived home, he was bombarded by 9 of his friends and family asking about his journey in the woods. Pi has learned that being a man doesn’t mean going off and killing animals, It means having ethical principles and sticking by them, and protect your family. * The fifteen digits of Pi:3.1415 9265359

Organizer

Summarizer
Name _____________________________ Circle _____________________________ Meeting Date _______________________ Reading Assignment ________________ Book ___________________________________________________________________ Summarizer: Your job is to prepare a brief summary of today’s reading. Your group discussion will start with your 1-2 minute statement that covers the key points, main highlights, and general idea of today’s reading assignment. Summary:

________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________________ Key Points:

1.________________________________________________________________ 2.________________________________________________________________ 3.________________________________________________________________ 4.________________________________________________________________ 5.________________________________________________________________ Connections: Did today’s reading remind you of anything? Explain. ____________________________________________________________ ____________________________________________________________ ____________________________________________________________ ____________________________________________________________ ____________________________________________________________ ————————————————-

____________________________________________________________ Literature Circle Role Sheet
Questioner/Discussion Director
Name _____________________________ Circle _____________________________

1.__________________________________________________________________ 2.__________________________________________________________________ 3.__________________________________________________________________ 4.__________________________________________________________________ 5.__________________________________________________________________ Tips: Consider

A discussion of a work’s characters: are they realistic, symbolic, historically-based? •
What motivates the characters or leads them to make the choices they do? •
An in-depth discussion of the work’s events

A discussion of any confusing passage or event

Literature Circle Roles
Connector
Name _____________________________ Circle _____________________________ Meeting Date _______________________ Reading Assignment ________________ Book ___________________________________________________________________ Connector: Your job is to find connections between the book and you, and between the book and the wider world. Consider the list below when you make your connections. •

Happenings at school or in the community

Stories in the news

Similar events at other times and places

Other people or problems that you are reminded of

Between this book and other writings on the same topic or by the same author Some connections I made between this reading and my own experiences, the wider world, and other texts or authors:

Literature Circle Roles
Illustrator

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