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Rational Functions Problem Trail
Rational Functions Problem Trail
Rational Functions Problem Trail
Rational Functions Problem Trail
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Description

Turn rational function review into an interactive adventure! In this Problem Trail activity, students choose one of twelve problems to begin and follow a path determined by their answers. Each correct solution leads to the next problem, creating a continuous loop that keeps students engaged and accountable for their work. If a mistake is made, students will eventually find themselves back where they started β€” encouraging them to revisit their steps and correct errors independently.

This activity is perfect for reinforcing multiple strategies for working with rational functions while promoting perseverance and critical thinking.

βœ… Skills Covered:

  • Simplify rational expressions and identify excluded values
  • Add, subtract, multiply and divide rational expressions
  • Solve equations with rational expressions
  • Identify horizontal and vertical asymptotes of a function from its equation
  • Identify holes in a rational function from its equation
  • Match the equation of a rational function to its graph


πŸ“Œ What’s Included:

  • 12 interconnected rational function problems that form a student-driven trail
  • A Show-Your-Work recording page to promote organization and mathematical reasoning
  • A teacher answer key for quick and easy grading

⭐ Why Teachers Love It:

  • Self-checking structure reduces β€œIs this right?” questions
  • Encourages independence and persistence
  • Great alternative to traditional review worksheets
  • Supports a variety of solving methods in one activity
  • Keeps students actively engaged
  • Low prep β€” just print and go!

πŸ“š Perfect For:

  • Algebra and Algebra 2 review
  • End-of-unit practice
  • Test prep
  • Math stations or partner work
  • Sub plans
  • Early finishers

Make rational functions review and practice more dynamic with this problem trail that challenges students to think, solve, and stay on the right path!

Report this resource to TPT
Reported resources will be reviewed by our team. Report this resource to let us know if this resource violates TPT's content guidelines.

Rational Functions Problem Trail

Math Authority
14 Followers
$3.00

Highlights

Digital downloads
Grades icon
Grades
9th - 12th
Standards icon
Standards
Pages
18
Answer Key
Included
Teaching Duration
50 minutes

Description

Turn rational function review into an interactive adventure! In this Problem Trail activity, students choose one of twelve problems to begin and follow a path determined by their answers. Each correct solution leads to the next problem, creating a continuous loop that keeps students engaged and accountable for their work. If a mistake is made, students will eventually find themselves back where they started β€” encouraging them to revisit their steps and correct errors independently.

This activity is perfect for reinforcing multiple strategies for working with rational functions while promoting perseverance and critical thinking.

βœ… Skills Covered:

  • Simplify rational expressions and identify excluded values
  • Add, subtract, multiply and divide rational expressions
  • Solve equations with rational expressions
  • Identify horizontal and vertical asymptotes of a function from its equation
  • Identify holes in a rational function from its equation
  • Match the equation of a rational function to its graph


πŸ“Œ What’s Included:

  • 12 interconnected rational function problems that form a student-driven trail
  • A Show-Your-Work recording page to promote organization and mathematical reasoning
  • A teacher answer key for quick and easy grading

⭐ Why Teachers Love It:

  • Self-checking structure reduces β€œIs this right?” questions
  • Encourages independence and persistence
  • Great alternative to traditional review worksheets
  • Supports a variety of solving methods in one activity
  • Keeps students actively engaged
  • Low prep β€” just print and go!

πŸ“š Perfect For:

  • Algebra and Algebra 2 review
  • End-of-unit practice
  • Test prep
  • Math stations or partner work
  • Sub plans
  • Early finishers

Make rational functions review and practice more dynamic with this problem trail that challenges students to think, solve, and stay on the right path!

Report this resource to TPT
Reported resources will be reviewed by our team. Report this resource to let us know if this resource violates TPT's content guidelines.

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Questions & Answers

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Standards

to see state-specific standards (only available in the US).
Understand that polynomials form a system analogous to the integers, namely, they are closed under the operations of addition, subtraction, and multiplication; add, subtract, and multiply polynomials.
Rewrite simple rational expressions in different forms; write 𝘒(𝘹)/𝘣(𝘹) in the form 𝘲(𝘹) + 𝘳(𝘹)/𝘣(𝘹), where 𝘒(𝘹), 𝘣(𝘹), 𝘲(𝘹), and 𝘳(𝘹) are polynomials with the degree of 𝘳(𝘹) less than the degree of 𝘣(𝘹), using inspection, long division, or, for the more complicated examples, a computer algebra system.
Solve simple rational and radical equations in one variable, and give examples showing how extraneous solutions may arise.
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