| "TRIGONOMETRY PROOFS" Math Teaching Tool Description:
This set of 20 magnetic foam pieces represent four separate "proofs" of trigonometry relations. The examples included are for a Pythagorean identity, a sum formula, a double-angle formula, and two sum-to-product formulas:
sin˛ u + cos˛ u >= 1
sin (u + v) = sin u cos v + sin v cos u
2cos˛ u = 1 + cos 2u
cos v – cos u = 2 sin ((u–v)/2) sin ((u+v)/2)
sin u – sin v = 2 sin ((u-v)/2) cos ((u+v)/2)
Demonstration of each relation is accomplished by physically rearranging the pieces to establish equality of areas or lengths. Although these are not rigorous mathematical proofs, they do show visual common-sense proofs of these equalities. Thus, they help make these abstract relationships real and believable.
By actually handling the pieces, students engage their minds to a great degree than they would be by merely looking at the proofs on paper.
The color instructions describe how each proof is demonstrated, and four reproducible worksheets reinforce the material.
Product Specifications:
Grades: 7-12
Product Size: Parts are packaged in baggies. The outside baggie is 11.5"x8".
Product Weight: 0.6 lbs
Product Contents:
20 Magnetic Foam Pieces
Instruction Manual
Product Warnings & Safety Information:
WARNING: CHOKING HAZARD - SMALL PARTS. This game contains small pieces and is not suitable for children under 3 years of age. |
