Description
Engage students with this high-interest Snowboarding Halfpipe Performance Task designed to deepen understanding of radical functions, quadratic functions, and real-world modeling.
In this real-world application activity, students investigate how algebra models both the structure of a snowboard halfpipe and the trajectory of a snowboarder’s jump. This standards-aligned modeling activity blends graphing, reasoning, interpretation, and mathematical explanation into one cohesive lesson or project.
Perfect for Algebra 1, Algebra 2, or Honors classes studying radical functions, quadratic functions, or projectile motion.
★Performance Task Overview
- Part A: Structural Modeling (Radical Function)
Students analyze the shape of a snowboard halfpipe using a radical function derived from a circle equation. They solve for the function, graph key features, interpret restrictions, and connect the algebra to the physical structure of the halfpipe.
- Part B: Motion Modeling (Quadratic Function)
Students model a snowboarder’s jump using a quadratic function to represent projectile motion. They graph the function, interpret the vertex and intercepts, and explain what the key features represent in context.
- Part C: Model Comparison & Justification
Students compare the two models and justify why different function types are appropriate for modeling structure versus motion.
Students experience how algebra shapes the slopes by modeling both the halfpipe structure and the snowboarder’s jump in this engaging real-world performance task!
💡 Teacher Tip for Engagement
Play a few short halfpipe snowboarding clips before or during the activity so students can visualize both the structure of the pipe and the motion of the jump. It makes the modeling more concrete — and much more engaging.
This is one of my favorite activities to teach because students immediately connect the math to something exciting and real!
Looking for some other performance tasks? Check out my others:
Real–World Performance Task | Radical & Quadratic Modeling | Grades 10 – 12
Highlights
Description
Engage students with this high-interest Snowboarding Halfpipe Performance Task designed to deepen understanding of radical functions, quadratic functions, and real-world modeling.
In this real-world application activity, students investigate how algebra models both the structure of a snowboard halfpipe and the trajectory of a snowboarder’s jump. This standards-aligned modeling activity blends graphing, reasoning, interpretation, and mathematical explanation into one cohesive lesson or project.
Perfect for Algebra 1, Algebra 2, or Honors classes studying radical functions, quadratic functions, or projectile motion.
★Performance Task Overview
- Part A: Structural Modeling (Radical Function)
Students analyze the shape of a snowboard halfpipe using a radical function derived from a circle equation. They solve for the function, graph key features, interpret restrictions, and connect the algebra to the physical structure of the halfpipe.
- Part B: Motion Modeling (Quadratic Function)
Students model a snowboarder’s jump using a quadratic function to represent projectile motion. They graph the function, interpret the vertex and intercepts, and explain what the key features represent in context.
- Part C: Model Comparison & Justification
Students compare the two models and justify why different function types are appropriate for modeling structure versus motion.
Students experience how algebra shapes the slopes by modeling both the halfpipe structure and the snowboarder’s jump in this engaging real-world performance task!
💡 Teacher Tip for Engagement
Play a few short halfpipe snowboarding clips before or during the activity so students can visualize both the structure of the pipe and the motion of the jump. It makes the modeling more concrete — and much more engaging.
This is one of my favorite activities to teach because students immediately connect the math to something exciting and real!
Looking for some other performance tasks? Check out my others:




