6-8, 9-12
In this lesson, students will develop an understanding of the Fibonacci Sequence (and its connection to Golden Rectangles), Golden Ratio, Golden Rectangle, and the term
ratio (as it applies to rectangles). Students will use tools and construction techniques to demonstrate geometry prowess and be able to observe the Golden Rectangle in nature and in the classroom.
6-8
Photographs, blueprints, models, and computer renderings may
serve as virtual representations of real cities. But how accurately do they
represent their real counterparts? In this lesson, students examine a computer
representation of a city and compare the sizes of its features with the sizes
of analogous features in a real city.
6-8, 9-12
This lesson is based upon a story from Virgil's
Aeneid. Students work in groups to
investigate maximizing area with a fixed length of rope. They investigate which
figure results in the greatest area by real-life experimentation as well
algebraically. Students gain an understanding of quadratic functions, the
isoperimetric principle, and parabolas.
3-5, 6-8
Using inversions — words that can be read in more than one way — as the context, students will be introduced to various types of symmetry. After exploring the symmetries that exist with letters of the alphabet, they will make inversions of their own name.
6-8, 9-12
In this lesson, students learn to use a compass and a straight edge to
construct rectangles of leg ratios 1:1; 1:√2; 1:√3; 1:2; and 1:√5. The
lesson culminates with the class constructing a full size façade of a
house using the proportions of the Ancient Maya.
6-8
Students explore drawing a mat plan when given a three dimensional figure built from cubes. Students also explore building a three dimensional figure when given the mat plan.
3-5, 6-8
This lesson provides students an opportunity to assess their understanding of mathematical vocabulary as they relate to key concepts from the five content areas. Through the use of a familiar game format, Bingo, students will identify numbers 0‑75 that correspond to mathematical descriptions from math vocabulary clue cards.
6-8
This mathematics excursion is based on the Paper Pool Project from the
Comparing and Scaling unit of the Connected Mathematics Project, G. Lappan, J. Fey, W Fitzgerald, S. Friel and E. Phillips, Dale Seymour Publications, (1998), Paper Pool Project, pp.106-111.
6-8
Students further explore square roots using the diagonals of rectangles. Using measurement, students will discover a method for finding the diagonal of any rectangle when the length and width are known, which leads to the Pythagorean Theorem.
6-8
In this lesson, students construct the 12 pentomino figures then utilize them to explore area and perimeter. By the end of the lesson students will be able to identify those constructions that are pentominoes and those that aren't. Students will also be able to calculate area and perimeter of pentomino combinations.
