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This bundle arrives just in time to help you celebrate Phi Day on November 23rd, so named for the date's relationship to the Fibonacci sequence: 1, 1, 2, 3, ... This bundle contains 3 sets of activities: The Golden Rectangle, The Fibonacci Sequence, and Spirals. But within those topics the students study Golden Ratio, art and architecture, Pascal's Triangle, are introduced to factorial notation, are introduced to the idea of limits, practice their geometry skills, and learn history about the c

This 3 page activity has the students investigate the relationship between the size of a basketball and the diameter of the rim of the basketball hoop. In addition, students will investigate air pressure inside a basketball and how that translates into force. Students will need formulas for area and circumference of a circle, as well as volume, and surface area of a sphere.

This is the third of the activities designed to help you celebrate Phi Day on November 23rd, so named for the date's relationship to the Fibonacci sequence: 1, 1, 2, 3, ... This third activity builds on the first two [Phi Day (1)--Golden Rectangles and Phi Day (2)--The Fibonacci Sequence], but this activity works well as a stand-alone, and does NOT require that activity to be completed first. Like the previous activities, this begins with some basic facts about the number phi. Students then e

The first (and primary) exploration in this activity has students use a ruler (marked in cm) and a protractor to draw triangles that meet various given conditions. The intent is to help students arrive on their own the possibilities presented when given two sides and a non-included angle. It is hoped when students *cannot* form a triangle, or *can* form two triangles, that they will construct an understanding that goes deeper than what can be generated in a lecture-style format. This activit

This 40 problem, nine page document (8 practice pages with 1 answer key page) is meant to help students review the material that will be necessary for their success in Trigonometry. Material is pulled from Algebra and Geometry and includes: -Simplifying complex fractions -Geometry of triangles -Using basic trigonometry to solve right triangles -Transformations of the plane -Rationalizing denominators -Finding inverses of functions (analytically) -Solving quadratic equations -Triangle inequalit

This is the second of the activities designed to help you celebrate Phi Day on November 23rd, so named for the date's relationship to the Fibonacci sequence: 1, 1, 2, 3, ... This second activity builds on the first [Phi Day (1)--Golden Rectangles], but this activity works well as a stand-alone, and does NOT require that activity to be completed first. In this activity the students first get a historical lesson on who Fibonacci was, and then read the problem that he posed that has led to the na

This is a perfect activity to do on or around November 23rd, known as Phi Day for its relation to the Fibonacci sequence: 1, 1, 2, 3, ... Students are given the instructions to construct Golden Rectangles. During the activity, they will construct and measure two of their own Golden Rectangles to calculate a rough estimate for phi. Background information about phi is provided. Students then look at several examples of Golden Rectangles from art and architecture and then use the process of cre

The "Minute 'Minders" series is designed to be a set of worksheets that can be used to review prerequisite concepts in a given class. They are meant to be used as quick warm-ups (each a single page) to refresh students' memories about concepts they are already familiar with, but in our teaching experience they may have forgotten. This Trigonometry Minute 'Minder has five worksheets on the following topics: -Using Special Right Triangles -Using Right Triangles to Evaluate Trigonometric Expressi