Navy Sail Design
By Tonya Adison, April 10, 2007
Grade Level
 High School
Category
 Product Design
Subject Area
 Mathematics
Lesson Time
Introduction
National Standards

recognize reasoning and proof as fundamental aspects of mathematics

make and investigate mathematical conjectures

compute fluently and make reasonable estimates

represent and analyze mathematical situations and structures using algebraic symbols

analyze characteristics and properties of two and threedimensional geometric shapes and develop mathematical arguments about geometric relationships

specify locations and describe spatial relationships using coordinate geometry and other representational systems

understand measurable attributes of objects and the units, systems, and processes of measurement

apply appropriate techniques, tools, and formulas to determine measurements

build new mathematical knowledge through problem solving

solve problems that arise in mathematics and in other contexts

apply and adapt a variety of appropriate strategies to solve problems

communicate their mathematical thinking coherently and clearly to peers, teachers, and others

recognize and use connections among mathematical ideas

understand how mathematical ideas interconnect and build on one another to produce a coherent whole

recognize and apply mathematics in contexts outside of mathematics
Common Core Standards
Anchors for Reading:
Key Ideas and Details:
CCSS.ELALITERACY.CCRA.R.1 Read closely to determine what the text says explicitly and to make logical inferences from it; cite specific textual evidence when writing or speaking to support conclusions drawn from the text.
CCSS.ELALITERACY.CCRA.R.2 Determine central ideas or themes of a text and analyze their development; summarize the key supporting details and ideas.
Craft and Structure:
CCSS.ELALITERACY.CCRA.R.4 Interpret words and phrases as they are used in a text, including determining technical, connotative, and figurative meanings, and analyze how specific word choices shape meaning or tone.
Integration of Knowledge and Ideas:
CCSS.ELALITERACY.CCRA.R.7 Integrate and evaluate content presented in diverse media and formats, including visually and quantitatively, as well as in words.
CCSS.ELALITERACY.CCRA.R.8 Delineate and evaluate the argument and specific claims in a text, including the validity of the reasoning as well as the relevance and sufficiency of the evidence.
Range of Reading and Level of Text Complexity:
CCSS.ELALITERACY.CCRA.R.10 Read and comprehend complex literary and informational texts independently and proficiently.
Anchor standards for Speaking and Listening:
Comprehension and Collaboration:
CCSS.ELALITERACY.CCRA.SL.1 Prepare for and participate effectively in a range of conversations and collaborations with diverse partners, building on others' ideas and expressing their own clearly and persuasively.
CCSS.ELALITERACY.CCRA.SL.2 Integrate and evaluate information presented in diverse media and formats, including visually, quantitatively, and orally.
CCSS.ELALITERACY.CCRA.SL.3 Evaluate a speaker's point of view, reasoning, and use of evidence and rhetoric.
Presentation of Knowledge and Ideas:
CCSS.ELALITERACY.CCRA.SL.4 Present information, findings, and supporting evidence such that listeners can follow the line of reasoning and the organization, development, and style are appropriate to task, purpose, and audience.
CCSS.ELALITERACY.CCRA.SL.6 Adapt speech to a variety of contexts and communicative tasks, demonstrating command of formal English when indicated or appropriate.
Anchor standards for Language:
Conventions of Standard English:
CCSS.ELALITERACY.CCRA.L.1 Demonstrate command of the conventions of standard English grammar and usage when writing or speaking.
Vocabulary Acquisition and Use:
CCSS.ELALITERACY.CCRA.L.4 Determine or clarify the meaning of unknown and multiplemeaning words and phrases by using context clues, analyzing meaningful word parts, and consulting general and specialized reference materials, as appropriate.
CCSS.ELALITERACY.CCRA.L.6 Acquire and use accurately a range of general academic and domainspecific words and phrases sufficient for reading, writing, speaking, and listening at the college and career readiness level; demonstrate independence in gathering vocabulary knowledge when encountering an unknown term important to comprehension or expression.
Objectives
 investigate the design of sailboat sails
 take accurate measurements using a ruler
 identify right triangles based on given measurements of sides
 find the missing side of right triangle
 solve word problems involving right triangles
 draw diagrams to show a visual representation of a written problem
 make connections to sailboat design
 make connections between the theorem and real world situations
Resources
 “How does a sailboat move upwind?” article located at https://www.physlink.com/Education/AskExperts/ae438.cfm
 https://www.regentsprep.org
 Pythagorean Theorem Handout (attached)
 Sailboat Handout (attached)
Materials
 rulers
 Postits
 calculators
 markers
 crayons
 colored Pencils
 push pins/thumb tacks or magnets
Diana Godines said on June 25, 2014
I teach the pythagorean theorem every year and have students draw the proof of the theorem. Even though I am in Texas and my students may be unfamiliar with sailboats, I REALLY like this lesson. I am throwing my old way out. 🙂 Reading measurements on a ruler is a concept that my students struggle with and need more practice in. Beginning the lesson with basic right triangle problems is still a necessity and I appreciate that this is done first. Student participation at the board is always best. I might give a day to create and work and then present their sailboats the following day. During the decorating of the sailboat, I will encourage students to design the sail with a specific topic in mind to have a theme. I can’t wait to use this.