NRICH Projects: Number Rules, Functions and Graphs - March 2010, Stage 4&5

This month's NRICH site looks a little different - instead of starting the month with problems, we are offering starting points for projects.

Working on these projects gives learners opportunities to work together, discuss ideas, develop conjectures of their own, and suggest new lines of enquiry.

During the month we will add problems based on the questions and conjectures posted by learners.

Problems

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Exploring Quadratic Mappings

Stage: 4 Challenge Level: Challenge Level:1

Explore the relationship between quadratic functions and their graphs.

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Geometric Parabola

Stage: 4 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Explore what happens when you draw graphs of quadratic equations with coefficients based on a geometric sequence.

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Inverting Rational Functions

Stage: 5 Challenge Level: Challenge Level:2 Challenge Level:2

Consider these questions concerning inverting rational functions

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Rational Request

Stage: 5 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Can you make a curve to match my friend's requirements?


Projects

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Alison's Mapping

Stage: 4 Challenge Level: Challenge Level:1

Alison has created two mappings. Can you figure out what they do? What questions do they prompt you to ask?

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Steve's Mapping

Stage: 5 Challenge Level: Challenge Level:1

Steve has created two mappings. Can you figure out what they do? What questions do they prompt you to ask?