Lesson Plan: Converting Fractions to Recurring Decimals Mathematics • 7th Grade

This lesson plan includes the objectives, prerequisites, and exclusions of the lesson teaching students how to convert proper fractions into decimals, noting that the decimal expansion of a number either terminates or eventually repeats.


Students will be able to

  • convert proper fractions to terminating decimals by division,
  • recognize repeating and recurring decimals and write appropriate notation for them,
  • convert proper fractions to recurring or repeating decimals by division,
  • solve word problems involving converting proper fractions to terminating and recurring decimals.


Students should already be familiar with

  • fractions and decimals,
  • long and short division methods,
  • rounding,
  • converting fractions to decimals by rewriting the fraction to have a denominator of 10, 100, or 1,000 or by using multiples of unit fractions.


Students will not cover

  • converting improper fractions or mixed numbers to terminating or recurring decimals,
  • converting a terminating, repeating, or recurring decimal to a fraction,
  • calculations with fractions and decimals, for example, multiplication.

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