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Rigor, Relevance & Relationships February 27, 2009 Dr. Willard R. Daggett International Center for Leadership in Education Application Model 1. 2. 3. 4. Knowledge in one discipline Application within discipline Application across disciplines Application to real-world predictable situations 5. Application to real-world unpredictable situations Rigor/Relevance For All Students Knowledge Taxonomy 1. 2. 3. 4. 5. 6. Awareness Comprehension Application Analysis Synthesis Evaluation Application Model 1. 2. 3. 4. Knowledge in one discipline Application within discipline Application across disciplines Application to real-world predictable situations 5. Application to real-world unpredictable situations Levels Bloom’s 6 5 4 3 2 1 C D A B 1 2 3 4 5 Application Rigor/Relevance Framework 6 5 4 3 2 1 • • • • Analyze the graphs of the perimeters and areas of squares having different-length sides. Determine the largest rectangular area for a fixed perimeter. Identify coordinates for ordered pairs that satisfy an algebraic relation or function. Determine and justify the similarity or congruence for two geometric shapes. C • Express probabilities as fractions, percents, or decimals. • Classify triangles according to angle size and/or length of sides. • Calculate volume of simple threedimensional shapes. • Given the coordinates of a quadrilateral, plot the quadrilateral on a grid. A 1 2 • • • • Obtain historical data about local weather to predict the chance of snow, rain, or sun during year. Test consumer products and illustrate the data graphically. Plan a large school event and calculate resources (food, decorations, etc.) you need to organize and hold this event. Make a scale drawing of the classroom on grid paper, each group using a different scale. D • Calculate percentages of advertising in a newspaper. • Tour the school building and identify examples of parallel and perpendicular lines, planes, and angles. • Determine the median and mode of real data displayed in a histogram • Organize and display collected data, using appropriate tables, charts, or graphs. B 3 4 5 Rigor/Relevance Framework 6 5 4 3 2 1 • • • • Analyze the graphs of the perimeters and areas of squares having different-length sides. Determine the largest rectangular area for a fixed perimeter. Identify coordinates for ordered pairs that satisfy an algebraic relation or function. Determine and justify the similarity or congruence for two geometric shapes. • Obtain historical data about local weather to predict the chance of snow, rain, or sun during year. Test consumer products and illustrate the data graphically. Plan a large school event and calculate resources (food, decorations, etc.) you need to organize and hold this event. Make a scale drawing of the classroom on grid paper, each group using a different scale. • Express probabilities as fractions, • percents, or decimals. • • Classify triangles according to angle size and/or length of sides. • simple three• Calculate volume of dimensional shapes. • Given the coordinates of a • Calculate percentages of advertising in quadrilateral, plot thea newspaper. quadrilateral on • Tour the school building and identify a grid. examples of parallel and perpendicular C B A 1 D lines, planes, and angles. • Determine the median and mode of real data displayed in a histogram • Organize and display collected data, using appropriate tables, charts, or graphs. 2 3 4 5 Rigor/Relevance Framework 6 5 4 • • • • 3 • 2 • • 1 • Obtain historical data about local weather to predict the chance of snow, rain, or sun during year. Test consumer products and illustrate the data graphically. Plan a large school event and calculate resources (food, decorations, etc.) you need to organize and hold this event. Make a scale drawing of the classroom on grid paper, each group using a different scale. • Calculate percentages of advertising in a newspaper. • • Tour the school building and • identify examples of parallel and perpendicular lines, planes, and • angles. • Determine the median and mode of real data displayed in a histogram. Express probabilities as fractions, percents, or decimals. and display collected • Organize Classify triangles according to data, appropriate tables, angle size and/orusing length of sides. Calculate volume of simple threecharts, or graphs. dimensional shapes. Analyze the graphs of the perimeters and areas of squares having different-length sides. Determine the largest rectangular area for a fixed perimeter. Identify coordinates for ordered pairs that satisfy an algebraic relation or function. Determine and justify the similarity or congruence for two geometric shapes. C D B A • Given the coordinates of a quadrilateral, plot the quadrilateral on a grid. 1 2 3 4 5 Levels Bloom’s 6 5 4 3 2 1 C D A B 1 2 3 4 5 Application C D A B 3 2 1 • Calculate with numbers, including decimals, ratios, percents, and fractions. • Understand two-dimensional motion and trajectories by separating the motion of an object into x and y components. 1 2 3 4 5 C D A B 3 2 1 • Calculate with numbers, including decimals, ratios, percents, and fractions. • Understand two-dimensional motion and trajectories by separating the motion of an object into x and y components. 1 2 3 4 5 D C 3 2 B A • Know the characteristics and phenomena of sound waves and light waves. • Understand the effect of sounds, words, and imagery on a listening audience. 1 1 2 3 4 5 Lexile Framework® for Reading Study Summary of Text Lexile Measures Interquartile Ranges Shown (25% - 75%) Text Lexile Measure (L) 1600 1400 1200 1000 800 600 High School Literature College Literature * Source of National Test Data: MetaMetrics College High School Textbooks Textbooks Military Personal Entry-Level Use Occupations SAT 1, ACT, AP* 16 Career Clusters Department of Education Agriculture and Natural Resources Arts, Audiovisual Technology, and Communications Business and Administration Architecture and Construction Education and Training Finance Health Science Hospitality and Tourism Human Services Information Technology Law and Public Safety Manufacturing Government and Public Administration Retail, Wholesale, and Service Scientific Research and Engineering Transportation, Distribution, and Logistics Reading Requirements Findings Entry-level Highest in 6/16 Second Highest in 7/16 Consistent Across Country Advanced Lexile Reading Level Range: 850-930 Intermediate Lexile Reading Level Range: 940-1090 Entry Level Human Services Lexile Reading Level Range: 1000-1140 Advanced Lexile Reading Level Range: 1310-1390 Intermediate Lexile Reading Level Range: 1250-1340 Entry Level Construction Lexile Reading Level Range: 1310-1350 Advanced Lexile Reading Level Range: 1310-1440 Intermediate Lexile Reading Level Range: 1280-1310 Entry Level Manufacturing Lexile Reading Level Range: 1280-1330 Proficiency Grade 4 Reading Proficient Wisconsin Texas Iowa Florida Massachusetts California South Carolina 83 % 81 % 77 % 71 % 48 % 48 % 35 % Required NAEP Score Proficiency Grade 4 Reading Wisconsin Texas Iowa Florida Massachusetts California South Carolina Proficient Required NAEP Score 83 % 81 % 77 % 71 % 48 % 48 % 189 190 197 202 234 210 35 % 228 Proficiency Grade 8 Reading Proficient North Carolina Wisconsin Iowa Florida California South Carolina 88 % 86 % 72 % 44 % 39 % 30 % Required NAEP Score Proficiency Grade 8 Reading North Carolina Wisconsin Iowa Florida California South Carolina Proficient Required NAEP Score 88 % 86 % 72 % 44 % 39 % 217 229 250 265 262 30 % 276 Proficiency Grade 4 Mathematics Proficient North Carolina Texas Wisconsin Michigan Florida California South Carolina Massachusetts 91 % 82 % 74 % 73 % 63 % 51 % 39 % 39 % Required NAEP Score Proficiency Grade 4 Mathematics North Carolina Texas Wisconsin Michigan Florida California South Carolina Massachusetts Proficient Required NAEP Score 91 % 82 % 74 % 73 % 63 % 51 % 39 % 203 219 225 222 230 231 246 39 % 255 Proficiency Grade 8 Mathematics Proficient North Carolina Iowa Wisconsin Michigan Florida Massachusetts South Carolina 84 % 76 % 75 % 61 % 58 % 42 % 24 % Required NAEP Score Proficiency Grade 8 Mathematics North Carolina Iowa Wisconsin Michigan Florida Massachusetts South Carolina Proficient Required NAEP Score 84 % 76 % 75 % 61 % 58 % 42 % 247 262 263 269 269 301 24 % 305 Application Model 1. 2. 3. 4. Knowledge in one discipline Application within discipline Application across disciplines Application to real-world predictable situations 5. Application to real-world unpredictable situations International Center for Leadership in Education, Inc. 1587 Route 146 Rexford, NY 12148 Phone (518) 399-2776 Fax (518) 399-7607 [email protected] www.LeaderEd.com