Contributor Illustrative Mathematics

Update
01-01-2017
Content Type
Activity
Grade Level
Ninth grade, Tenth grade, Eleventh grade, Twelfth grade
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Website
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This task a could be used as an introduction to writing and graphing linear inequalities. Part (a) includes significant scaffolding to support the introduction of the ideas. First, a chart is used as a means for considering the possible combination of tablets and folate in Sara’s diet.

Students next construct a system of inequalities, and this provides an opportunity to show how solutions recorded in a chart can be used to develop algebraic notation, and how such notation can then be used to find solutions. Part (b) demonstrates that, in some situations, writing down all possible combinations is not feasible. Then, students are asked to use algebraic notation and create inequalities in order to find the solution set and graph it.