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...

Looking at numerous examples of triangles, each with different properties, geometers develop their understanding of congruency. They use the notation of a counter-example to disprove certain conjectures and prove geometric theorems and...

Where does the reflection come from? The vivdeo starts with a quick review of the form of the equation of horizontal and vertical lines and diagonals passing through the origin. Using a pre-image and an image of a reflected figure, the...

Slide into vector transformations. Column vectors define the translation of figures by defining the number of units to move horizontally and vertically on the coordinate graph. Pupils develop an understanding of how to read the...

Develop the basics of turns. A helpful video discusses the information required to perform a rotation. Afterward, the narrator shows pupils how to perform a rotation by using a piece of tracing paper to determine where the image will be...

Problem solve across the content standards. The presentation slides provide 19 sample items from the Smarter Balanced high school assessment. Items illustrate Claim 2, problem solving, of the test and are drawn from all the high school...

Which is the best reflection of them all? Given four diagrams, pupils determine which one shows the most accurate reflection of a quadrilateral. Two images provide the distances of each vertex from the line of reflection, as well as the...

Use geometry to improve your pool game! Learners analyze the front half of a pool shot to determine its resulting path. By measuring the angle of incidence, they are able to predict the path of the ball. 

Change places by pivoting the figure. The section of a geometry playlist introduces rotations by making the connection to rotational symmetry. The presentation provides formulas to use with the coordinates when rotating a figure around...

Looking into a mirror is not the same on a coordinate plane. A portion of an extensive playlist on basic geometry provides the rules to find the coordinates of points after a reflection over one of the axis. Using the rules, the video...

Develop a prime example of sliding about the coordinate plane. Using figures on the coordinate plane, a segment of an extensive geometry playlist introduces the transformation of translations. The presentation uses coordinate notation to...

Introducing ... the Transmographer. Young mathematicians investigate translations, reflections, and rotations. The applet lets users perform transformations on triangles, squares, and parallelograms.

How many moves does it take to land an out-of-this-world aircraft? Given a spaceship and a landing pad, pupils work together to determine the sequence of transformations needed to land it. Individuals show they can perform...

Flip, turn, and slide to get there. With the aid of hands-on materials, pairs transform a figure from one place on the coordinate plane to another. They determine a sequence that will move one figure to another and present different...

Quadrilaterals beget quadrilaterals. Scholars apply transformations to figures on a coordinate plane drawn on a floor and on graph paper. As hinted in the title, the resource focuses solely on transformations of quadrilaterals.

Two transformations for the price of one. Using patty paper, young mathematicians extend their understanding of transformations. They consider sequences of two or more transformations.

Take a quadrilateral out for a spin. The assessment checks class members' understanding of rotations. Provided with a quadrilateral on a grid, pupils draw the image resulting from rotating the figure about a point. 

To locate the vertices, look no further than the radius. The assessment provides the pupils with a circle. Learners construct an inscribed regular hexagon in the circle using a straightedge and compass.

Kids will flip over semicircles! Given a line of reflection, pupils reflect a semicircle on a grid. They then draw and label the image of the figure on the grid.

Transform algebra to represent geometric movements. The lesson plan provides guidance to introduce your scholars to the application of the precise definitions of rigid transformations. Pupils work through several transformations to...

An assessment presents two triangles on a grid along with assumptions of the locations of the vertices. Pupils describe a sequence of transformations that will transform one triangle onto the other. 

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...

Learn about constructing figures, proofs, and transformations. The seventh unit in a course of nine makes the connections between geometric constructions, congruence, and proofs. Scholars learn to construct special quadrilaterals,...

Investigate the attributes of polygons. A thorough set of lessons presents problem scenarios for elementary through high school classes. The first lessons focus on basic characteristics of polygons, including the line of symmetry. As the...