View Resource
  • 72
  • 13
  • 3

Repeating Decimals

View Resource


This lesson unit is intended to help teachers assess how well students are able to: translate between decimal and fraction notation, particularly when the decimals are repeating; create and solve simple linear equations to find the fractional equivalent of a repeating decimal; and understand the effect of multiplying a decimal by a power of 10.
Lower Primary, Upper Primary, Middle School, High School
Kindergarten, Grade 1, Grade 2, Grade 3, Grade 4, Grade 5, Grade 6, Grade 7, Grade 8, Grade 9, Grade 10, Grade 11, Grade 12
Material Type:
Assessment, Lesson Plan
Shell Center for Mathematical Education, U.C. Berkeley
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
Creative Commons Attribution Non-Commercial No Derivatives Creative Commons Attribution Non-Commercial No Derivatives
Media Format:
Downloadable docs, Text/HTML


Kristen Frankie
on Nov 03, 12:08pm Evaluation

Math: Key Shifts in the CCSS: Superior (3)

There are no real world applications, but there are many opportunities for students to problem solve independently as well as together. There are lots of areas for discussion with focus on using terminology and explaining thinking.

Kristen Frankie
on Nov 03, 12:08pm Evaluation

Math: Overall Rating for the Lesson/Unit: Superior (3)

I teach 8th grade math for two periods. I used this with both of my classes. I used it more with my lower group of students. We had already done introductory work so I jumped in with the Repeating Decimals pre-assessment as a full-class activity and teaching resource.

This particular worksheet was very helpful when a parent had their child do the work different. I was able to clarify the reasoning and directions and help both the student and parent.

This lesson was very well written with clear directions for students and plenty of opportunities to problem solve and work with each other. The students had to be able to explain their choices on the fraction/decimal/percentage chart and be able to argue their choices. I did not use every piece of the provided work because I had already started this work with my students, but it was very helpful in solidifying their understanding.

Lehua HIDOE on Aug 24, 08:32pm

This is a lesson/assessment unit. There are many resources for teachers to implement the lesson; Detailed lesson plans, ppt, student worksheets, follow up worksheets, and card sets for in-class investigations. It addresses CCSS 8.NS.1 - rational numbers have decimal expansions that terminate in 0s or eventually repeat. This is a good lesson to have students learn how to write repeating decimals as a fraction.



Achieve OER

Average Score (3 Points Possible)
Degree of Alignment3 (1 user)
Quality of Explanation of the Subject Matter3 (1 user)
Utility of Materials Designed to Support Teaching3 (1 user)
Quality of AssessmentsN/A
Quality of Technological InteractivityN/A
Quality of Instructional and Practice ExercisesN/A
Opportunities for Deeper LearningN/A

EQuIP Rubric

Average Score (3 Points Possible)
ELA Math
Alignment to the Rigor of the CCSS N/A
Key Shifts in the CCSS N/A
Instructional Supports N/A
Assessment N/A
Overall Rating for the Lesson/Unit N
Alignment to the Rigor of the CCSS 3 (1 user)
Key Shifts in the CCSS 3 (1 user)
Instructional Supports 3 (1 user)
Assessment 3 (1 user)
Overall Rating for the Lesson/Unit E (1 user)

Tags (12)