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 aspects of the task and its potential use.

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 aspects of the task and its potential 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.

Students draw the dilation of a rectangle and observe changes in the length and width of the dilated imaged.

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

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.

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.

In this lesson, students know the definition of similar and why dilation alone is not enough to determine similarity. Given two similar figures, students describe the sequence of a dilation and a congruence that would map one figure onto the other.

Students will learn about the reflective behaviors of light, and the wave and particle nature of light. Students will also recognize congruency of angles.

In this lesson, students use properties of similar triangles to solve real-world problems.

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'.

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 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 extend their use of dilation to explore similar triangles. Students will be led through an activity using Geometer's Sketchpad, and using their prerequisite knowledge of dilated figures to explore "similar triangles", as will as properties of similar triangles