Repeating Decimals Lesson: Rational Numbers by Long Division, Grades 7-8

Why does 7/12 give 0.58333... and never stop? This lesson answers by letting students watch the long division. Key words cover terminating decimal, repeating decimal, repeat bar and remainder. Example 1 divides 7 by 12 one step per slide: when the remainder 4 comes back, the 3 repeats forever, so 7/12 = 0.583 with the bar over the 3 only.

What's inside

• 17 slides, with speaker notes on all 17
• Lesson plan, 2 pages: standards, materials, objective, a teacher-guided sequence keyed to slide numbers, a "Watch For" note and a 25-minute version
• Scaffolded notes, 1 page, fill-in-the-blank to match the slides
• Practice worksheet, 2 pages: 18 practice items (10 converting or classifying; 5 in context; 3 find-the-error or explain)
• Exit ticket, 3 questions, two per sheet
• Answer key, 3 pages, with every step worked
• Print-all PDF, 9 pages: the lesson plan, the student pages and the answer key in one file

Answer key included

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