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Solving and Graphing Linear Inequalities - Summit School District

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<strong>Summit</strong> Middle <strong>and</strong> High <strong>School</strong>s<br />

Unit Title: <strong>Solving</strong> <strong>and</strong> <strong>Graphing</strong> <strong>Linear</strong> <strong>Inequalities</strong> Subject(s): Algebra I<br />

Grade Level: 8-9<br />

Enduring Underst<strong>and</strong>ing/Big Ideas: Students should be able to … Teacher(s): Math Department<br />

Graph one dimensional inequalities. Duration: 7 days<br />

Solve inequalities, noting the difference from the methods used for solving equations.<br />

Write <strong>and</strong> solve compound single dimensional inequalities by interpreting phrases than use “<strong>and</strong>” or “or.”<br />

Guiding Question: What does it mean to be infinitely big or infinitely small?<br />

Continuity: Where does this unit come from <strong>and</strong> where is it taking students next?<br />

Students are building upon their knowledge of graphing <strong>and</strong> solving equations by graphing <strong>and</strong> solving inequalities.<br />

Key Activities Day's Agenda/Timeline<br />

Day 1: Solve <strong>and</strong> graph one-step inequalities in one variable using addition, subtraction, multiplication or division.<br />

Day 2: Solve multi-step inequalities in one variable.<br />

Day 3: Solve <strong>and</strong> graph compound inequalities involving “<strong>and</strong>” <strong>and</strong> “or.”<br />

Day 4: Solve absolute value equations.<br />

Day 5: Graph linear inequalities in two variables.<br />

Day 6: Review.<br />

Day 7: <strong>Inequalities</strong> Assessment.<br />

Knowledge <strong>and</strong> Skills:<br />

Knowledge:<br />

• State <strong>and</strong> use symbols of inequalities.<br />

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MYP Content:<br />

Number<br />

• Number lines<br />

Algebra<br />

• <strong>Inequalities</strong><br />

Skills:<br />

• Solve multistep inequalities.<br />

• Solve compound inequalities.<br />

• Graph one dimensional inequalities.<br />

• Expressing the solution set of a linear inequality on the number line<br />

• <strong>Solving</strong> <strong>and</strong> graphing linear inequalities<br />

Assessment strategies: How will this activity support MYP assessment?<br />

What pre-assessment is being used?<br />

What is the criteria for ongoing assessment?<br />

What is the criteria for a final assessment? Demonstrating knowledge (mastery)? Underst<strong>and</strong>ing tasks (relate to underst<strong>and</strong>ing of the<br />

guiding question)? Authentic assessments (e.g., projects)?<br />

Differentiation Strategies<br />

ELL:<br />

Gifted <strong>and</strong> Talented/Honors:<br />

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Special Education:<br />

Areas of Interaction Homo Faber C&S H&S Environment ATL<br />

How will the AOI focus the learning?<br />

How will the AOI be presented to the students?<br />

Reflection: How effective was the unit? Include recommendations, if any, for change to the unit.<br />

P:\CURRICULUM_ADOPTION_PROCESS\2008-2009\Final Math 2009\Algebra_I_<strong>Inequalities</strong>.doc<br />

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