This is a task from the Illustrative Mathematics website that is one part of a complete illustration of the standard to which it is aligned. Each task has at least one solution and some commentary that addresses important asects of the task and its potential use. Here are the first few lines of the commentary for this task: The point in the $x$-$y$ plane with coordinates $(1000,2012)$ is reflected across the line $y=2000$. What are the coordinates of the reflected point?...

This 8th grade Math parent guide explains the content in straightforward terms so they can support their children’s learning at home and will encourage caretaker engagement with lessons.

Our Teacher Guides are meant to support the use of our online course and unit content. Please use these to accompany the use of our content and for ideas to support struggling learners, those needing extension and for additional resources.

In this lesson, students know that dilations map circles to circles and ellipses to ellipses with the same shape. Students know that to shrink or magnify a dilated figure back to its original size from center O with scale factor r you must dilate the figure by a scale factor of 1/r.

In this lesson, students experimentally verify the properties related to the Fundamental Theorem of Similarity (FTS).

This resource is a review activity for Geometric Transformations.  There is a thinglink web tool that can be used to review the rules for transformations and an activity that can be done individually or in groups.  Cover page Photo by Samuel Zeller on Unsplash

Students will review coordinate plane concepts, practice map skills, review shapes, transform geometric figures, and calculate the area and perimeter of figures.

In this lesson, students design a simple coordinate graph picture.and reflect, translate and rotate the picture according to specific directions. A resource can be found at: http://www.beaconlearningcenter.com/documents/812_01.pdf

Students will learn about dilation and similarity and apply that knowledge to a proof of the Pythagorean Theorem based on the Angle-Angle criterion for similar triangles.

The goal of this task is to give students an opportunity to experiment with reflections of triangles on a coordinate grid. Students are not prompted in the question to list the coordinates of the different triangle vertices but this is a natural extension of the task.

Students will learn that some transformations, such as reflections and rotations, do not change the figure itself, only its position or orientation.

This lesson unit is intended to help teachers assess how well students are able to: recognize and visualize transformations of 2D shapes; and translate, reflect and rotate shapes, and combine these transformations. It also aims to encourage discussion on some common misconceptions about transformations.

This course was created by the Rethink Education Content Development Team in partnership with the North Carolina Virtual Public Schools. This course is aligned to the NC Standards for 8th Grade Math. 

This course was created by the Rethink Education Content Development Team in partnership with the North Carolina Virtual Public Schools. This course is aligned to the NC Standards for 8th Grade Math. 

This course was created by the Rethink Education Content Development Team in partnership with the North Carolina Virtual Public Schools. This course is aligned to the NC Standards for 8th Grade Math. 

In this lesson, students learn the definition of dilation and why "same shape" is not good enough to say two figures are similar. Students know that dilations magnify and shrink figures.