Quadratic growth
Building blocks
Lucy's little brother, Joe, received a set 250 building blocks
for his fifth birthday. Lucy noticed that Joe
was interested in building structures like these:
She wondered what was the heighest such structure that could
be built with Joe's blocks.
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How does the number of blocks in the structure depend on its height?
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Use the From value table to change tool
to present the beginning of a value table that shows the
dependence of the number of blocks in the structure on its height.
Describe how the function changes.
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Use the
Quadratic growth
tool to represent a value table and graph describing the dependence
of the number of blocks in the structure on its height.
Use these representations to answer questions like:
- How many blocks are needed to build a structure with a height
of 10 blocks?
- What is the heighest structure you can build out of
Joe's 250 blocks?
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Construct a correspondence rule
for the function describing the dependence of the number
of blocks in a structure on its height.
Show how to use the correspondence rule
to answer questions about large structures.
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