Algebra 1 Common Core Student Edition, Grade 8-9

Co m m o n Co r e Pe r f o r m a n c e T a sk

Marbles in Water

Have you noticed th a t d ropping objects into a glass of w ater raises th e w ater level?
The diagram an d table below show w h at h ap p e n s to th e height of th e w ater in a
certain glass w hen different n u m b ers of identical m arbles are d ro p p e d into it.

15 cm

6.9 cm

(^3) 6.9
5 7.5
98 .7
(^14) 10.2
(^17) 11.1
23 12.9
Task D escr i p t i o n
Predict the n u m b e r of m arbles you n ee d to drop in th e glass to raise the w ater
level to the top of th e glass.
Connecting the Task to the Math Practices
As you com plete th e task, y o u ’ll apply several S tandards for M athem atical
Practice.

• You'll analyze th e d ata in th e table to d eterm in e th e type of relationship
  betw een th e n u m b e r of m arbles in the glass a n d th e w ater height. (MP 1)


• You'll m odel th e d ata in th e table w ith a function. (MP 2, MP 4)

MATHEMATICAL

PRA CTI CES

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