ITU: San Dieguito Academy

Theme: Intangible Destinations
Context: Geometry and Literature
Overview: every action has an impact, a vector, a force, a unique timeline.


Our idea started with the book Flatland which is a novel about shapes and living in different dimensions, which represents both subjects of English and Mathematics. We went from there to think of a fun and creative way to get students involved, where we thought about incorporating parallel dimensions and time travel. We thought this would be a good pool to pull ideas and lessons for geometry and English classes.

Essential Questions:
What is Flatland? How is it different from the world that we live in? What are the difficulties about living there?
What is important about our society and these "intangible destinations"?
Why is it important that we understand regular polygons? What types of patterns do they create? Why were they highlighted in Flatland?

Mathematics: (Geometry)
3.0 Students construct and judge the validity of a logical argument and give counterexamples to disprove a statement.
7.0 Students prove and use theorems involving the properties of parallel lines cut by a transversal, the properties of quadrilaterals, and the properties of circle.
12.0 Students find and use measures of sides and of interior and exterior angles of triangles and polygons to classify figures and solve problems.
13.0 Students prove relationships between angles in polygons by using properties of complementary, supplementary, vertical, and exterior angles

English: (Reading)
Structural Features of Informational Materials
2.1 Analyze the structure and format of functional workplace documents, including the graphics and headers, and explain how authors use the features to achieve their purposes.
Comprehension and Analysis of Grade-Level-Appropriate Text
2.3 Generate relevant questions about readings on issues that can be researched.

English: (Writing)
Organization and Focus
1.1 Establish a controlling impression or coherent thesis that conveys a clear and distinctive perspective on the subject and maintain a consistent tone and focus throughout the piece of writing.
1.2 Use precise language, action verbs, sensory details, appropriate modifiers, and the active rather than the passive voice.
2.2 Write responses to literature:
a. Demonstrate a comprehensive grasp of the significant ideas of literary works.
b. Support important ideas and viewpoints through accurate and detailed references to the text or to other works.
c. Demonstrate awareness of the author’s use of stylistic devices and an appreciation of the effects created.
d. Identify and assess the impact of perceived ambiguities, nuances, and complexities within the text.

English Learner: (Early Advanced +1)
Word Analysis:
Advanced: Apply knowledge of sound/symbol relationships and basic word-formation rules to derive meaning from written text (e.g., basic syllabication rules, regular and irregular plurals, and basic phonics).

Read and orally respond to familiar stories and other texts by answering factual comprehension questions about cause-and-effect relation-ships.

Oral Presentation:
Negotiate and initiate social conversations by questioning, restating, soliciting information, and paraphrasing the communication of Communication others.

Subject Matter and Unit Objectives
  1. After reading Flatland, students will be able to understand and be aware of different dimensions and intangible places that are in their life, by writing about their experiences and reactions.
  2. After experimenting with the understanding of the 2nd dimension, students will be able to identify the qualities of the 2nd dimension and how it differs from the 3rd by writing a short reflection about it.
  3. After reading through the first section of part 1 of Flatland, students will be able to create questions from the text in which create curiosities or concerns, which can be seen through prediction and reflection free writes.
Language Objectives
  1. While reading Flatland, Students will be able to decode and understand words from context in order to better understand the story.
  2. While reading Flatland, students will be able to understand and comprehend the book and will demonstrate this knowledge by comparing and contrasting the 3 different lands or dimensions discussed.
  3. At the end of the unit and after exploring the intangible destinations, students will be able to present their understanding of the ethics and use of the internet to parents and guardians attending the service learning project.