Station Rotation: Decimals, Fractions, and Number Sets

By Mr. L. · 0 Views, Adapted 0 times

A two-station math packet for 8th graders that builds PSSA-style skills in converting between decimals and fractions (including repeating decimals) and categorizing real numbers. Each station includes worked examples and a solution key, with a Station Rotation Worksheet for recording answers.

Math6-8

Originally requested as

“A PSSA-style math problem set on converting decimals to fractions, fractions to decimals and categorizing numbers. I want there to be 2 stations with worked examples and solution key. Converting can be one station and number categorization can be the other station.”

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Teacher Guide & Tips

Set up the two stations as a rotation, giving students roughly 20 minutes at each, so the full packet fits a 45-minute block or a longer math period.
Discussion question: Why does multiplying a repeating decimal by a power of 10 and subtracting eliminate the repeating part?
Scaffold for struggling readers: Have them work through the worked example step by step with a partner before attempting the practice problems independently.
Extension for advanced students: Ask them to explain why every repeating decimal is a rational number, and to find which categories a number like √2 belongs to.
Students should check their answers against the solution key only after completing each problem, so the key serves as feedback rather than a shortcut.

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Originally requested as

Teacher Guide & Tips

Set up the two stations as a rotation, giving students roughly 20 minutes at each, so the full packet fits a 45-minute block or a longer math period.
Discussion question: Why does multiplying a repeating decimal by a power of 10 and subtracting eliminate the repeating part?
Scaffold for struggling readers: Have them work through the worked example step by step with a partner before attempting the practice problems independently.
Extension for advanced students: Ask them to explain why every repeating decimal is a rational number, and to find which categories a number like √2 belongs to.
Students should check their answers against the solution key only after completing each problem, so the key serves as feedback rather than a shortcut.

Station Rotation: Decimals, Fractions, and Number Sets

By Mr. L. · 0 Views, Adapted 0 times

Math6-8

Customize for your classroom

Open in Diffit

Share with your colleagues

What is Diffit?

Teachers use Diffit to get quality materials for their unique classrooms. Adjust difficulty, add scaffolds, or change the topic to get started.

Try Diffit for free

Teacher Guide & Tips

Set up the two stations as a rotation, giving students roughly 20 minutes at each, so the full packet fits a 45-minute block or a longer math period.

Discussion question: Why does multiplying a repeating decimal by a power of 10 and subtracting eliminate the repeating part?

Scaffold for struggling readers: Have them work through the worked example step by step with a partner before attempting the practice problems independently.

Extension for advanced students: Ask them to explain why every repeating decimal is a rational number, and to find which categories a number like √2 belongs to.

Students should check their answers against the solution key only after completing each problem, so the key serves as feedback rather than a shortcut.

Teacher Guide & Tips

Set up the two stations as a rotation, giving students roughly 20 minutes at each, so the full packet fits a 45-minute block or a longer math period.

Discussion question: Why does multiplying a repeating decimal by a power of 10 and subtracting eliminate the repeating part?

Scaffold for struggling readers: Have them work through the worked example step by step with a partner before attempting the practice problems independently.

Extension for advanced students: Ask them to explain why every repeating decimal is a rational number, and to find which categories a number like √2 belongs to.

Students should check their answers against the solution key only after completing each problem, so the key serves as feedback rather than a shortcut.