Scholars use interactive resources to figure out how to mathematically draw a reflection of a geometric shape viewed in a mirror. To conclude the activity, class members are asked to deduce the result of multiple reflections across...

Flip, spin, and shift with this vocabulary-rich video on transformations. Learners watch different movements and see how to move an object without affecting its size. The video follows with a multiple choice assessment that...

Where is a geneticist's favorite place to swim? A gene pool. Young geneticists complete hands-on activities, experiments, and real-world problem solving throughout the unit. With extra focus on dominant and recessive genes, Punnett...

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...

Add some variety to your school or district's math curriculum with this comprehensive collection of materials. Offering over 900 pages of Saxon Math lessons, worksheets, and activities, this resource is a gold mine for any middle school...

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...

Transform the thinking of transformations with six sample items that illustrate the first four standards in the eighth grade geometry domain. Items use the coordinate plane to transform figures and analyze the relationship of the figures...

Look at dilations exponentially. Using a fractal from a museum exhibit, the installment from the Math at the Core: Ratios series introduces the term dilation. The presenter points out that dilations can make images either smaller or...

How will a scale factor affect a figure—negatively? Using a grid, the narrator of an engaging video performs a dilation with a negative scale factor. The presenter compares a positive scale factor with a negative scale factor to explain...

Figure out what to do when there is no grid to count. Using a ruler and a sharp pencil, the narrator shows how to perform a dilation when the figure is not on a grid. The ray method works by drawing a ray from the center of dilation...

Enlargements make it bigger, right? A video shows viewers how to perform a basic dilation with a fractional scale factor. They learn how to use the scale factor to find the location of the transformed vertex by multiplying the horizontal...

What caused that to happen? Using three aspects, a video demonstrates how to describe an enlargement or dilation. The presenter counts the lengths of the sides to determine the scale factor and a ruler to find the center of dilation.

Count on the scale to enlarge a figure. The video shows how to create an enlargement given a scale factor and a center of enlargement. The presenter multiplies the vertical and horizontal distance by the scale factor to find the new...

Examine an innovative approach to a large-scale model. Pupils across the state of Maine teamed up to create a model of the solar system that spans 40 miles. Put thinking skills to work within your classes as they make the calculations to...

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...

Multiply coordinates to either shrink or enlarge a figure. An informative segment of a geometry playlist introduces dilation on the coordinate plane. The dilations in the resource use the origin as the center of dilation, which makes...

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

How can you better explain the standards? A collection of resources gives teachers the resources needed to teach topics within the eighth grade curriculum. Lessons provide engaging activities to use within the classroom. 

Block letters can help with your understanding of geometry. Learners create three-letter words using letters that have either rotational or line symmetry. They write the words on a grid and apply rotations, reflections, and translations.

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...