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Compound Inequalities

Compound Inequalities. Audra Rehbaum 12/17/09. Background. Placement School: Saint Benedict School Placement District: Amherst School District Cooperating Teacher: Jennifer Pilger. The Students. Grade Level: 8 th grade Mathematics

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Compound Inequalities

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  1. Compound Inequalities Audra Rehbaum 12/17/09

  2. Background • Placement School:Saint Benedict School • Placement District:Amherst School District • Cooperating Teacher:Jennifer Pilger Appeared in LE on page 2

  3. The Students • Grade Level:8th grade Mathematics • Ability Level:Advanced math class-Integrated Algebra (9th grade mathematics) • Number of Students:14 Appeared in LE on page 3

  4. Time Frame • Implementation of Learning Experience: 4 days Appeared in LE on page 9, 10, 11

  5. New York State Standard • Mathematics: Standard 3:Students will understand the concepts of and become proficient with the skills of mathematics; communicate and reason mathematically; become problem solvers by using appropriate tools and strategies; through the integrated study of number sense and operations, algebra, geometry, measurement, and statistics and probability. Appeared in LE on page 2

  6. Performance Indicator A.A.24 - Solve linear inequalities in one variable Appeared in LE on page 2

  7. Purpose/Rationale of LE • Students to be able to solve compound inequalities and graph them on a number line. • Students to develop skills for solving and representing real life problems involving compound inequalities. Appeared in LE on page 3

  8. Objectives • Students will be able to: • solve any one variable, linear compound inequality. • translate information from a given word problem in to a linear compound inequality. • graph linear compound inequalities on a number line. Appeared in LE on page 4, 5

  9. Essential Question(s) • What is one method that we can use to represent a range of data? • What is an example of how we use or solve compound inequalities in the world? Appeared in LE on page 3

  10. Enduring Understanding • Evaluate and solve any compound inequality. • Recognize and understand the language given in a word problem and be able to represent the information in a linear compound inequality. • Represent compound inequalities on a number line. Appeared in LE on page 3

  11. Guiding Questions • What is a compound inequality? • What is the difference between an AND statement and an OR statement? • How and when do you combine two inequalities? • How do you represent a compound inequality on a number line? • What does inclusive mean? Appeared in LE on page 3

  12. Students’ Tasks • Mid-chapter Quiz (used as pre-assessment) • Notes on Compound Inequalities • Homework assignment from textbook • Solving Compound Inequalities (worksheet) • Chapter test (LE was a portion of test) Appeared in LE on page 6

  13. Assessments • Mid-Chapter Quiz - Diagnostic Assessment • “Solving Compound Inequalities” Worksheet- Formative Assessment (class-work grade) • Chapter Test – Summative Assessment Appeared in LE on page 6

  14. Solving Compound Inequalities: (Abridged Rubric) Appeared in LE on page 7

  15. Teacher Exemplar Appeared in LE (attachment 5a)

  16. Teacher Exemplar Appeared in LE (attachment 5a)

  17. Distinguished Student Work Appeared in LE (attachment 6ai)

  18. Distinguished Student Work Appeared in LE (attachment 6ai)

  19. Proficient Student Work Appeared in LE (attachment 6bi)

  20. Proficient Student Work Appeared in LE (attachment 6bi)

  21. Developing Student Work Appeared in LE (attachment 6ci)

  22. Developing Student Work Appeared in LE (attachment 6ci)

  23. Modification Table Appeared in LE on page 12, 13

  24. Reflections • The peer review session was extremely useful to me in creating my final learning experience. • I learned how I could: • Engage my students more. • Improve my rubric. • Assess my students at a higher level of thinking. Appeared in LE on page 15

  25. Thank you! I would truly like to thank my peer review group for their support and their warm and cool comments! Special thanks to: Laura, Michelle, Christine, Clay, Mike, as well as Mr. Arnold and Kim Charmatz! Appeared in LE on page 15

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