NRICH Projects: Number Rules, Functions and Graphs - March 2010, Stage 3&4

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 Simple Mappings

Stage: 3 Challenge Level: Challenge Level:1

Explore the relationship between simple linear functions and their graphs.

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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.


Projects

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Charlie's Mapping

Stage: 3 Challenge Level: Challenge Level:1

Charlie has created a mapping. Can you figure out what it does? What questions does it prompt you to ask?

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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?