Properties of Translations Math Games

3 games

In this series of games, your students will learn that lines are taken to lines, and line segments to line segments of the same length. The Properties of Translations learning objective — based on CCSS and state standards — delivers improved student engagement and academic performance in your classroom, as demonstrated by research. This learning objective directly references 8.G.A.1.a as written in the common core national math standards.

Scroll down for a preview of this learning objective’s games and the concepts.

Concepts Covered

Two figures are considered the same if one can be superimposed on the other. Reflections, rotations, and translations, and compositions of these, are called rigid motions. Rigid motions preserve the lengths of line segments. Terminology for transformations (image, pre-image, and preserve) is used to describe the effects of rigid motions and other transformations.

Experiment with translations (sliding a figure in a particular direction for a particular distance), rotations (rotate around a particular point called the center of rotation), and reflections (flipping a point or figure over a particular line called the line of reflection). Use transparencies to experiment with rigid motions. Use all transformations in experimentation with lines and line segments of the same length to see that they do not change in length.

A preview of each game in the learning objective is found below.

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Image for Terrific Transformations
Terrific Transformations Estimated Duration: 11 minutes When dealing with a line or section, you can slide them one direction to translate them on a map; you’ll learn about it in this rap. With length, coordinates, and slope, there's nothing past your scope. So come rotate, translate, reflect, and boost your students' intellect!
Image for Properties of Rigid Motion Transformations
Properties of Rigid Motion Transformations Estimated Duration: 3 minutes In this lesson, students will explore transformations called rigid motions, which move a figure without changing its size or shape. They will learn about three types of rigid motions: translations (sliding), reflections (flipping), and rotations (turning). These transformations create new figures, called images, that are congruent to the original figures, meaning their size and shape remain identical. Through examples, students will see how rigid motions preserve the length and angles of figures, ensuring that the image is the same as the pre-image, regardless of how it is moved around.
Image for Projections
Projections Estimated Duration: 8 minutes Learn how rigid motions (translations, rotations and reflections) work, applied to real world shapes and images! It's like you are solving a puzzle, determining the correct actions to be performed in order to get the correct final image, perfectly overlapping the given target.
Image for Newton Pool
Newton Pool Estimated Duration: 15 minutes The game consists of hand-crafted levels where the player controls a white ball. The goal of each level is to get the white ball to the end of the level in as few moves as possible, while racking up points by bumping golden balls into obstacles on the way! The game does not have any instructional math content, it simply has math review questions spread throughout.
Image for Galaxy Escape
Galaxy Escape Estimated Duration: 20 minutes 10 Bright Monsters have been captured in space and they need your help to cross the galaxy jumping between platforms, finding them, and releasing them by correctly answering each question. Each monster that you release and unlock will be available to play with in the next level, in the search for the next monster. In your journey, you’ll be able to find power-ups, like ‘Double points’ and ‘Slow down’, which can be activated by finding gems, and their duration can be extended by correctly answering a question. Unlock and release the 10 different monsters and a spaceship along 10 different levels, while you make the most possible points.
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