Grade 08 Mathematics - EC: M08.A-N.1.1.1
Grade 08 Mathematics - EC: M08.A-N.1.1.1
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
Activities
- Define rational numbers.
- Identify two examples of irrational numbers.
- Classify each of the numbers below as rational or irrational:
- -5.3232…
- 0.14527…
- 4.252627
- Convert each of the following rational numbers into a decimal and organize them into the appropriate category: repeating or terminating decimals.
- Your friend, Brian, is having trouble classifying numbers as rational or irrational. Write a letter to Brian explaining what they are and how he can identify each. Use specific examples.
- Is it possible for a fraction to have a decimal equivalent that does not repeat and does not terminate? Explain.
Answer Key/Rubric
- Rational numbers are real numbers that can be written in the form a/b, where
. In decimal form, rational numbers are either terminating or repeating. - Examples include, but are not limited to:
- Answers are as follows:
- Rational – repeating decimal
- Rational –
= 8 - Irrational – neither a terminating nor repeating decimal
- Rational – all fractions are rational
- Rational – terminating decimal
- Irrational – 50 is not a perfect square
- Rational – repeating decimal
- Rational – all fractions are rational
- Answers are as follows:
= 0.4; terminating
= 
; repeating
= 0.125; terminating
= 
; repeating
= 
; repeating
= 0.75; terminating
- Acceptable responses might include, but are not limited to:
- Rational numbers are all numbers in the form a/b; where b does not equal 0
- All fractions are rational
- All repeating and terminating decimals are rational
- The square root of any perfect square is rational
- Irrational numbers, when written as a decimal, will not repeat or stop (terminate)
- Specific examples must be included
- No, it is not possible.
Acceptable explanations might include, but are not limited to:
- All fractions are rational numbers
- Rational numbers must be either terminating or repeating decimals
- All decimals that do not terminate or repeat are irrational and cannot be written in the form a/b
