Transformations Using the Geometer's Sketchpad
Students discover rules for single transformations, rules for composition of transformations, when a figure has transformation symmetry, and if a transformation is congruent to its preimage.
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Discovering the Formula for the Area of a Triangle
Most high schoolers are very familiar with the area of the triangle being equal to 1/2 base times the height. Here, they will develop and test their formula for the area of a triangle when given two adjacent sides and the included angle....
9th - 11th Math CCSS: Designed
Proving Slope Criteria for Parallel & Perpendicular Lines
This lesson launches with learners graphing the fourth vertex of a given rectangle, and finding the length and slope of one of its sides; and ends with learners writing a summary sheet for parallel and perpendicular lines. In between,...
7th - 11th Math CCSS: Designed
New Review Transformations and Symmetry
Flip, turn, and slide about the coordinate plane. Pupils define the rigid motions and experiment with them before determining the relationships of the slopes of parallel and perpendicular lines. The sixth unit in a nine-part series...
9th - 10th Math CCSS: Designed
Definition of Translation and Three Basic Properties
Uncover the properties of translations through this exploratory lesson. Learners apply vectors to describe and verify transformations in the second installment of a series of 18. It provides multiple opportunities to practice this...
8th Math CCSS: Designed
Similarity through Transformations
Create the ultimate miniature golf course. The 93-page model curriculum unit from the Massachusetts Department of Elementary and Secondary Education contains nine lessons on understanding similarity in terms of both Euclidean geometry...
9th - 12th Math CCSS: Designed
Congruence, Proof, and Constructions
This amazingly extensive unit covers a wealth of geometric ground, ranging from constructions to angle properties, triangle theorems, rigid transformations, and fundamentals of formal proofs. Each of the almost-forty lessons is broken...
8th - 10th Math CCSS: Designed
Exploring Transformations with Geometer's Sketchpad
Clearly written, step-by-step guided practice in creating a figure and performing a transformation with the award-winning Geometer's Sketchpad software makes up the first three pages of this resource. Questions ask for explanations of...
9th - 12th Math