
Geometry


Enlarge 
Sir Cumference and the Sword in the Cone Author: Cindy Neuschwander Illustrator: Wayne Geehan Publisher: Charlesbridge Publishing Copyright: 2003 ISBN: 1570916012 Number of Pages: 32 Ohio Standards Alignment: Grades 5–8
King Arthur has issued a challenge. The first knight to find the sword Edgecalibur will be the next king. Join Sir Cumference, Lady Di of Ameter, and their son, Radius, as they race to help their friend, Vertex, find the sword. With their aid, he cuts out 2dimensional shapes and folds them to make solid figures. He then makes a data table to explore the relationship between faces, vertices, and edges of polyhedra. The last two conditions in King Arthur's clue help Vertex unravel the mystery of the location of the sword.
Go to: How to Use This Book Highlights and Insights Related ORC Resources Ohio Standards


How to Use This Book

 Teachers could make their own "maps" (nets) on paper and have students construct the solid figures.
 Students can develop nets of various solids and quiz each other on the figure represented.
 Students should work with models of polyhedra to confirm Euler's formula (F + V = E + 2) for themselves.
 Teachers could make their own quest for students to find a prize in a figure described by geometric properties. Have students work in groups to go on the quest to find the prize.


Highlights and Insights

This book helps students understand what the map (net) of a figure is and how it is used. The mappings found on page 5 show many of the basic figures that students should know. See if they can visualize and describe each figure before folding it. The last page of the book goes into the history and mathematics detailed in the story. The only difficulty with the story is how long the sword was. Many students would not know what the length of a sword should be. 

Related ORC Resources

Geometric Solids and Their Properties Resource Type: Lessons Discipline: Mathematics Grades: Grades 5–7 Professional Commentary: In this interactive geometry investigation, students explore geometric solids and their properties. There are five parts to the investigation that include the rotation of shapes on the computer screen as well as plans for straw construction of solids and patterns for nets.... Resource Type: Lessons Discipline: Mathematics Grades: Grades 5–8 Professional Commentary: This lesson begins with an introductory spatial visualization puzzle, and includes several activities where students identify, construct, and sketch cubes and other prisms and identify parallel and perpendicular lines and planes. They analyze nets, including those classified as pentominoes.... Resource Type: Lessons Discipline: Mathematics Grades: Grades 6–8 Professional Commentary: This site challenges students to find all possible nets that can be folded into a cube (there are 11 of them) and to identify the properties that characterize those nets that can be folded into a cube versus those that cannot. The lesson can be taught using centimeter grid paper, NCTM developed applets, or handson mathematics... Plot Plans and Silhouettes Resource Type: Content Supports  Technologies Discipline: Mathematics Grades: Grades 6–8 Professional Commentary: This activity is all about visualizing 3dimensional objects from 2dimensional representations. Students are asked to figure out the structure of a building based on its silhouettes as seen from the front and side....


Ohio Standards

Geometry and Spatial Sense StandardBenchmarks (57) I. Identify and draw threedimensional objects from different views (top, side, front and perspective). Benchmarks (810) E. Draw and construct representations of two and threedimensional geometric objects using a variety of tools, such as straightedge, compass and technology. H. Establish the validity of conjectures about geometric objects, their properties and relationships by counterexample, inductive and deductive reasoning, and critiquing arguments made by others. Grade Level Indicators (5) 8. Predict what threedimensional object will result from folding a twodimensional net, then confirm the prediction by folding the net. Grade Level Indicators (7) 9. Draw representations of threedimensional geometric objects from different views. Grade Level Indicators (8) 1. Make and test conjectures about characteristics and properties (e.g., sides, angles, symmetry) of twodimensional figures and threedimensional objects. 6. Draw nets for a variety of prisms, pyramids, cylinders and cones. Data Analysis and Probability StandardBenchmarks (57) B. Interpret data by looking for patterns and relationships, draw and justify conclusions, and answer related questions. Grade Level Indicators (6) 6. Make logical inferences from statistical data. 

