Grade 08 Mathematics - EC: M08.C-G.1.1.4
Grade 08 Mathematics - EC: M08.C-G.1.1.4
Continuum of Activities
The list below represents a continuum of activities: resources categorized by Standard/Eligible Content that teachers may use to move students toward proficiency. Using LEA curriculum and available materials and resources, teachers can customize the activity statements/questions for classroom use.
This continuum of activities offers:
- Instructional activities designed to be integrated into planned lessons
- Questions/activities that grow in complexity
- Opportunities for differentiation for each student’s level of performance
Grade Levels
8th Grade
Course, Subject
Mathematics
Related Academic Standards / Eligible Content
Activities
- Define similar figures.
- Given trapezoid LMNP, will the resulting image be similar after a rotation of 90° clockwise followed by a dilation of ½? Will the image be larger or smaller? Why?
- You can transform
to 
by performing a dilation followed by a translation. Write the rule for the dilation and translation that was performed. Are the two triangles similar?
- Show and explain how triangle QRS is similar to triangle DES using a series of transformations.
- Create your own similarity problem to give to a partner using the guidelines below.
- Draw a polygon on a coordinate grid.
- Apply two transformations that will result in similar figures.
- Create a question with the original polygon and the final image after the two transformations and ask your partner to identify the transformations.
- Create an answer key showing and describing the original image, missing image, final image and the transformations that were done.
Answer Key/Rubric
- Acceptable responses may include, but are not limited to:
Similar figures are figures whose ratios of the lengths of their corresponding sides are equal; similar figures can be obtained by doing a series of transformations including translations, reflections, rotations, and/or dilations.
- Yes. The image will be smaller because the dilation is between 0 and 1.
- Dilation: scale factor of
Translation: (x, y) 
(x + 8, y + 6)
Yes, the two are similar because translations and dilations are similarity transformations.
- Acceptable answers may include, but are not limited to:
- Reflect
over the y-axis then do a dilation with scale factor of 3
- Dilate
by a scale factor of 3, than reflect it over the y-axis
- Reflections and dilations are similarity transformations
- Student created problems will vary.
Things to look for include, but are not limited to:
- Original shape is a polygon.
- Two transformations are performed that are reflections, rotations, translations or dilations.
- Transformations are performed and labeled accurately
- Answer key should include the original polygon, the final polygon, and the middle polygon along with the necessary steps and labels
