The Common Core State Standards (CCSS) videos are designed to support states, schools, and teachers in the implementation of selected math standards. Each video is an audiovisual resource that focuses on one or more specific standards through examples and illustrations geared to enhancing understanding. The intent of each content-focused video is to clarify the meaning of the individual standard rather than to be a guide on how to teach each standard, although the examples can be adapted for instructional use.

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 the definition of congruence and related notation. Students know that to prove two figures are congruent there must be a sequence of rigid motions that maps one figure onto the other. Students know the basic properties of congruence are similar to the properties for all three rigid motions (translations, rotations, and reflections).

In this Khan Academy activity, students will find different types of measures using rigid transformations.

Students will learn about translations, reflections, and rotations in the plane and, more importantly, how to use them to precisely define the concept of congruence.

In this Khan Academy activity, students will identify which transformation was performed between two images.

In this lesson, students know the definition of reflection and perform reflections across a line using a transparency. Students show that reflections share some of the same fundamental properties with translations (e.g., lines map to lines, angle and distance preserving motion, etc.). Students know that reflections map parallel lines to parallel lines. Students know that for the reflection across a line L, then every point P, not on L, L is the bisector of the segment joining P to its reflected image P'.

In this lesson, students learn that the reflection is its own inverse transformation. Students understand that a sequence of a reflection followed by a translation is not equal to a translation followed by a reflection.

In this lesson, students learn that the reflection is its own inverse transformation. Students understand that a sequence of a reflection followed by a translation is not equal to a translation followed by a reflection.

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 are introduced to vocabulary and notation related to rigid motions (e.g., transformation, image, and map). Students are introduced to transformations of the plane and learn that a rigid motion is a transformation that is distance preserving. Students use transparencies to imitate a rigid motion that moves or maps one figure to another figure in the plane.

In this Khan Academy activity, students will determine which properties are preserved after a rigid transformation.

In this lesson, students know how to rotate a figure a given degree around a given center. Students know that rotations move lines to lines, rays to rays, segments to segments, and angles to angles. Students know that rotations preserve lengths of segments and degrees of measures angles. Students know that rotations move parallel lines to parallel lines.

In this lesson, students learn that a rotation of 180 degrees moves a point on the coordinate plane (a, b), to (-a, -b). Students learn that a rotation of 180 degrees around a point, not on the line, produces a line parallel to the given line.

In this lesson, students describe a sequence of rigid motions to map one figure onto another.

In this lesson, students learn about the sequence of transformations (one move on the plane followed by another) and that a sequence of translations enjoy the same properties as a single translation with respect to lengths of segments and degrees of angles. Students learn that a translation along a vector followed by another translation along the same vector in the opposite direction can move all points of a plane back to its original position.