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Student Teacher Candidate: Colby Howe Lesson Subject(s)/Title: Geometry center Lesson Date(s): Course & Grade(s): Math 4 INSTRUCTIONAL MATERIALS: 1. Magazines 2. Scissors 3. Glue 4. Poster board labeled with three types of lines 5. iPads 6. App: Grade 4 Math Common Core Standards 7. Markers Sensory Register STM LTM Attention Recognition Perception Focus Organization Rehearsal Visualization Connections Elaborations Meaning Facets of Understanding 1. 2. 3. 4. 5. 6. 1. 2. 3. Explanation Interpretation Application Perspective Empathy Self-Knowledge Multiple Intelligences Linguistic [words] Visual [pictures] Mathematical [numbers & reasoning] Kinesthetic [hands-on] Musical [music] Interpersonal [social] Intrapersonal [self] Naturalist [nature] ESSENTIAL QUESTIONS/ SUBSIDIARY QUESTIONS: How can geometric properties be used to describe, model, and analyze situations? Where are math figures in our real world? 4. 5. 6. 7. 8. PURPOSE: The purpose of this lesson will be for students to gain an understanding of angles as an abstract geometric figure that is in our real world Multiple Exposures [4 x 2] SPECIFIC LEARNING OBJECTIVES: (clear, observable) Following this lesson students will be able to identify parallel lines, perpendicular lines and intersecting lines with 95-100% accuracy 1. 2. STANDARDS: Subject Area: Measurement and Data 1. 2. 3. 4. 5. CCSSM 4.G.1 Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures. PA CCS 2.3.4.A.1 Draw lines and angles and identify these in two-dimensional figures. Eligible Content: PA Eligible Content M04.C-G.1.1.1 Draw points, lines, line segments, rays, angles (right, acute, obtuse), and perpendicular and parallel lines. Identify these in two-dimensional figures. 1. 2. 3. ANTICIPATORY SET: Students will be instructed to access the iPads provided. They will use the 4th grade common core app and will access the geometry skill section. This will have students reviewing types of angles and lines. (MM) {MR} – The teacher will provide students with a unique way to work with lines and other geometric figures by providing the app. Complex Interactions Discussion Argumentation Bloom’s Taxonomy Knowledge [Verbatim] Comprehension [Own Words] Application [Problem-Solving] Analysis [Identify components] Synthesis [Combine information] 6. Evaluation [Decisions] 1. 2. 3. 4. 5. 6. 1. 2. 3. DIFFERENTATION STRATEGIES: Partner setting and teacher’s hovering presence will eliminate a need for any differentiation strategy. However, if there is a student who truly cannot perform the task they will be given an animated street map and will be asked to do the same thing. Dramatization Visualization Verbal 4. 5. 6. 7. 8. 9. Aspects of the Topic Facts Compare Cause/Effect Characteristics Examples Relationships 9 Effective Strategies Similarities and Differences Summarization and Note Taking Reinforcing Effort and Providing Recognition Homework and Practice Nonlinguistic Representations Cooperative Learning Setting Objectives and Providing Feedback Generating and Testing Hypotheses Questions, Cues, and Advanced Organizers Ed. Department - Revised August 2012 Amy Nelson, Spring 2010 INPUT/ ACQUIRE NEW KNOWLEDGE: and/or APPLY/ DEEPEN NEW KNOWLEDGE: There will be 10-12 magazines at the center. Students will look through the magazines and will use markers to mark perpendicular, parallel and intersecting lines within the magazine. A poster will be nearby to remind students what the lines they’re looking for look like. Students will be working in pairs. Each pair will mark 3 of each type of line then will cut them out. (RA, AS) – The teacher will have children working with the abstract concept of geometric figures and will have them identifying real examples. Teacher will also have students categorizing the lines by category which will have them identifying and using structure. VOCABULARY: Perpendicular, parallel, intersecting 8 MATHEMATICS PRACTICES FOR STUDENTS Make sense of problems and persevere in solving them Reason abstractly and quantitatively Construct viable arguments and critique the reasoning of others Model with mathematics Use appropriate tools strategically Attend to precision Look for and make use of structure Look for and express regularity in repeated reasoning CLOSURE/ASSESSMENT: Once each pair has categorized their cutouts all of the groups at the table will share their cutouts and explain why each one meets the requirements. If groups disagree on any then they will engage in meaningful discourse. (VAC, AP) {FD} – The teacher will promote discourse by asking students to explain their reasoning and will promote discussion if there is disagreement. The teacher is attending to precision by having students describe their thinking. HOMEWORK: (Purpose- Preparation, Practice, Expansion) Students may use the app at home for further practice EVALUATION/ASSESSMENT OF STUDENTS: Will be based on the following rubric FORMATIVE ASSESSMENT Rubric Level I Ed. Department - Revised August 2012 Level II Level III Limited Performance Not Yet Proficient Proficient in Performance Student does one-two of the following: Can identify the figures with >80% accuracy Can explain accurately why the marked figures are in the category they are Use a variety of examples from the magazines Groups will not be able to identify the geometric figures in magazines INSTRUCTIONAL PROCEDURES: Time: The teacher will: 1. Introduce students to the center by briefly reviewing the typed directions in the center. 2. Directions will tell students to open the app and work through some review problems 3. The directions will tell students to use the magazines to find examples of three different geometric figures, mark them and cut them out 4. The directions will tell students to discuss between groups why you put each image into each category. Ed. Department - Revised August 2012 Can identify the figures with 90% accuracy Can explain with correct language why the marked figures are in the category they are Use a variety of examples from the magazines The students will: 1. Follow along with the teacher’s review of the center activities. 2. Students will work through some geometry problems in the math app 3. Follow the directions and then categorize the cutouts into perpendicular, intersecting and parallel 4. Engage in meaningful discussion about the grouping of the materials. They will explain using proper vocabulary what aspects of the cutout make it fit into the category. IDENTIFY WITHIN THE INSTRUCTIONAL PROCEDURES, THE 8 MATHEMATICS TEACHING PRACITCES AND THE 8 MATHEMATICS PRACTICES FOR STUDENTS 8 MATHEMATICS TEACHING PRACTICES • EG: Establish mathematics goals to focus learning • RP: Implement tasks that promote reasoning and problem solving • MR: Use and connect mathematical representations • FD: Facilitate meaningful mathematical discourse • PQ: Pose purposeful questions • FCU: Build procedural fluency from conceptual understanding • PS: Support productive struggle in learning mathematics • EE: Elicit and use evidence of student thinking 8 MATHEMATICS PRACTICES FOR STUDENTS • MSP: Make sense of problems and persevere in solving them • RA: Reason abstractly and quantitatively • VAC: Construct viable arguments and critique the reasoning of others. • MM: Model with mathematics • AT: Use appropriate tools strategically • AP: Attend to precision • US: Look for and make use of structure • RR: Look for and express regularity in repeated reasoning Ed. Department - Revised August 2012 Ed. Department - Revised August 2012