Are two angles enough? Given two triangles, the class determines through the definition of similarity and transformations whether the two triangles are similar. Provided with pairs of triangles and measurements, small groups find out...

Scale up the dilation factor. Using a dynamic geometry software program, classmates discover the relationship between a pre-image and its image after performing a dilation. Individuals create their own dilations and fellow class members...

Geometry is full of shapes, figures, and corresponding things here and there. The guide shares all of the key pieces of geometric information in a nicely color-coded and labeled sheet. 

Working in pairs, geometry students will construct a dilation and consider the properties associated with the similar figures that are created to verify the properties of dilation. This activity can be done using dot or graph paper and...

Math whizzes work with angle sums and exterior angles to figure out the measure of other angles. This particular publication provides comprehensive support in the form of an anticipatory activity, questions designed to prompt discussion,...

New ReviewTwelve chapters cover a multitude of math concepts found in the Common Core standards for sixth grade. Each title provides a brief explanation of what you will find inside the chapter—concepts from which you can click on and learn more...

New ReviewPairs or small groups work together to determine the height of a tree using similar triangles. Learners make a judgement which direction to let a tree fall to avoid hitting any structures. They then write letters to the principal...

Take a similar approach to three dimensions. Pupils develop the relationship between areas of similar objects and see how they relate to the ratio of the sides. Building upon area formulas, small groups put together volume formulas for...

Create a world of similar models. The geometry and measurement unit uses real-world scenarios to create models of familiar buildings and rooms. Scholars work with blueprints and scale models to compare areas and volumes between the...

Create a similar blueprint. The differentiated lesson has pupils work in teams to create a brochure, scale model, or blueprint of a selected house with some minor changes. Once finished, team members present their final projects to the...

Sometimes the solution is all a matter of perspective. The short assessment task presents a problem to pupils that requires them to make sense of a diagram. Once learners see two similar triangles, the rest of the solution is solving a...

Similar shapes are all about the scale. Given seven problems, pupils use scale factors to determine measurements within similar shapes. While solving the problem, scholars also determine whether two figures are similar and use area and...

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...

More power to you if you can calculate volumes. Viewers of an informative YouTube video learn about the volumes of similar three-dimensional figures. They see how figures with sides that have a scale factor of n have volumes with a scale...

Scale up a lesson on similarity. Young mathematicians watch a video that investigates the sides of similar figures. They see how to calculate missing sides from the given measures using scale factors.

Develop an understanding of the scale of similarity. Starting with the concept of congruency, the resource introduces the idea of similarity between two figures. As part of a larger playlist on geometry, it defines similarity and uses...

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...

Are all the measurements scalable? Pupils work in groups or alone to determine whether figures are similar and find any missing side lengths. Then, they calculate the perimeters and areas of the figures. Finally, using the measurements,...

How do you measure a distance where the measurement tool will not reach? Pupils use the concept of similar triangles to perform indirect measurements. The lesson asks teachers to demonstrate the method and lead the class through a set of...

Just how similar are dilations to isometries? The lesson plan builds upon pupils' knowledge of transformations and introduces the concept of dilations to obtain similar figures. Learners find out how to dilate a figure without the...

What does every circle have in common? Learners explore this question as they prove all circles are similar. A series of activities leads them to this conclusion by identifying transformations.

Dilated pupils, the way to prove circles are similar. Using the knowledge of dilations of polygons, class members learn how to dilate a circle to show that it is similar to any other circle. The teacher guides the class through a proof...

Show similarity with a similar approach to congruence. The assessment provides learners with two figures on a coordinate plane. Pupils use the coordinates of the figures and similarity transformations to describe how to show the two...