A slippery slope

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A successful ski lift relies on an understanding of distance, midpoints and gradients. This resource takes a mathematical look at finding these for any given interval.

An image of snow on a mountain.

Explore

Recall how to plot points1 on the xy-axis. This Geogebra applet2 allows you to visualise what different gradients look like and how to calculate the gradient of a line. To practice calculating gradient try this online quiz3. Why are roofs in snowy areas steep?

Your tasks

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Design a spreadsheet in this task to check on the mathematics of ski-lifts and then publish a safety flyer.

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Make your recommendations about a possible new ski-lift.

Task 3

Decide which street really is the steepest in the world. What is the steepest street in your area?

Syllabus links | Teaching notes (DOCX 79kB)

Links

  1. https://www.thatquiz.org/tq-7/?-j108-l5-mpnv600-p0
  2. https://www.geogebra.org/m/SJfBcKPE
  3. https://www.thatquiz.org/tq-7/?-j500-l5-mpnv600-p0