1 Compound Inequalities Audra Rehbaum 12/17/09

2 Appeared in LE on page 2 Background Saint Benedict SchoolPlacement School: Saint Benedict School Amherst School DistrictPlacement District: Amherst School District Jennifer PilgerCooperating Teacher: Jennifer Pilger

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

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

5 Appeared in LE on page 2 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.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.

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

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

8 Appeared in LE on page 4, 5 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.

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

10 Appeared in LE on page 3 Enduring Understanding Evaluate and solve any compound inequality.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.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.Represent compound inequalities on a number line.

11 Appeared in LE on page 3 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?

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

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

14 Appeared in LE on page 7 Solving Compound Inequalities: (Abridged Rubric) A.A Writing the linear compound inequality Writes the proper inequality to represent the information. Writes signs facing correct way, but incorrectly writes whether it is inclusive or not. Answer is not correct. Solving & graphing the linear compound inequality Solves and graphs the compound inequality correctly. One mistake in solving or graphing the compound inequality Two mistakes in solving or graphing the compound inequality Three mistakes in solving or graphing the compound inequality Answer is not correct.

15 Appeared in LE (attachment 5a) Teacher Exemplar

16 Appeared in LE (attachment 5a) Teacher Exemplar A.A Writing the linear compound inequality Writes the proper inequality to represent the information. Writes signs facing correct way, but incorrectly writes whether it is inclusive or not. Answer is not correct. Solving & graphing the linear compound inequality Solves and graphs the compound inequality correctly. One mistake in solving or graphing the compound inequality Two mistakes in solving or graphing the compound inequality Three mistakes in solving or graphing the compound inequality Answer is not correct.

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

18 Appeared in LE (attachment 6ai) Distinguished Student Work A.A Writing the linear compound inequality Writes the proper inequality to represent the information. Writes signs facing correct way, but incorrectly writes whether it is inclusive or not. Answer is not correct. Solving & graphing the linear compound inequality Solves and graphs the compound inequality correctly. One mistake in solving or graphing the compound inequality Two mistakes in solving or graphing the compound inequality Three mistakes in solving or graphing the compound inequality Answer is not correct.

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

20 Appeared in LE (attachment 6bi) Proficient Student Work A.A Writing the linear compound inequality Writes the proper inequality to represent the information. Writes signs facing correct way, but incorrectly writes whether it is inclusive or not. Answer is not correct. Solving & graphing the linear compound inequality Solves and graphs the compound inequality correctly. One mistake in solving or graphing the compound inequality Two mistakes in solving or graphing the compound inequality Three mistakes in solving or graphing the compound inequality Answer is not correct.

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

22 Appeared in LE (attachment 6ci) Developing Student Work A.A Writing the linear compound inequality Writes the proper inequality to represent the information. Writes signs facing correct way, but incorrectly writes whether it is inclusive or not. Answer is not correct. Solving & graphing the linear compound inequality Solves and graphs the compound inequality correctly. One mistake in solving or graphing the compound inequality Two mistakes in solving or graphing the compound inequality Three mistakes in solving or graphing the compound inequality Answer is not correct.

23 Appeared in LE on page 12, 13 Modification Table Instructional Modification RationaleBenefit The students will take notes in a packet that was given at the beginning of the chapter. They decrease the amount of writing that the students and teacher have to do. Allow the students to focus their time and energy on the actual math problems.

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

25 Appeared in LE on page 15 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!