iSEEK - Education

target for reading on own: Sixth grade, 750,000 words annually. increase word knowl- edge through systematic vocabulary development; determine the meaning of new words by apply- ing knowledge of word origins, word relation- ships, and context clues; verify the meaning of new words; and use those new words accurately across the subject areas . Find, understand, and use specific information in a variety of texts across the subject areas to perform a task . informAtionAL text: DemonstrAte generAL

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target for reading on own: Sixth grade, 750,000 words annually. increase word knowl- edge through systematic vocabulary development; determine the meaning of new words by apply- ing knowledge of word origins, word relation- ships, and context clues; verify the meaning of new words; and use those new words accurately across the subject areas . Find, understand, and use specific information in a variety of texts across the subject areas to perform a task . informAtionAL text: DemonstrAte generAL

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Speaking Standard 3

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slate of officers from a class (e.g., if there are 23 students and 3 officers, the number is 23 x 22 x 21) 3. List the possible combinations of two elements chosen from a given set (e.g., forming a committee of two from a group of 12 students, finding how many handshakes there will be among ten people if everyone shakes each other person’s hand once). 4.4.6 D. Discrete Mathematics—Vertex-Edge Graphs and Algorithms 1. Devise strategies for winning simple games (e.g., start with two piles of objects

18 0 http://www.nj.gov/education/cccs/2004/s4_math.pdf#page=18 www.nj.gov/education/cccs/2004/s4_math.pdf#page=18

dimensional shapes. • Vertex, edge, face, side • 3D figures – cube, rectangular prism, sphere, cone, cylinder, and pyramid • 2D figures – square, rectangle, circle, triangle • Relationships between three- and two-dimensional shapes (i.e., the face of a 3D shape is a 2D shape) 3. Describe, identify and create instances of line symmetry. 4. Recognize, describe, extend and create designs and patterns with geometric objects of different shapes and colors. 4.2.2 B. Transforming Shapes 1. Use simple shapes to

36 0 http://www.nj.gov/education/cccs/2004/s4_math.pdf#page=36 www.nj.gov/education/cccs/2004/s4_math.pdf#page=36

mathematical perspectives on everyday phenomena and with important examples of how mathematics is used in the modern world. Two important areas of discrete mathematics are addressed in this standard; a third area, iteration and recursion, is addressed in Standard 4.3 (Patterns and Algebra). Data Analysis (or Statistics). In today’s information-based world, students need to be able to read, understand, and interpret data in order to make informed decisions. In the early grades, students should be involved in

38 0 http://www.nj.gov/education/cccs/2004/s4_math.pdf#page=38 www.nj.gov/education/cccs/2004/s4_math.pdf#page=38

describe practical sets of directions (e.g., to add two 2-digit numbers). 2. Explore vertex-edge graphs • Vertex, edge • Path 3. Find the smallest number of colors needed to color a map. Building upon knowledge and skills gained in preceding grades, by the end of Grade 4, students will: 4.4.4 A. Data Analysis 1. Collect, generate, organize, and display data in response to questions, claims, or curiosity. • Data collected from the school environment 2. Read, interpret, construct, analyze

39 0 http://www.nj.gov/education/cccs/2004/s4_math.pdf#page=39 www.nj.gov/education/cccs/2004/s4_math.pdf#page=39

as shape or color, and relationships. • Venn diagrams • Numerical and alphabetical order 2. Represent all possibilities for a simple counting situation in an organized way and draw conclusions from this representation. • Organized lists, charts, tree diagrams • Dividing into categories (e.g., to find the total number of rectangles in a grid, find the number of rectangles of each size and add the results) 4.4.4 D. Discrete Mathematics—Vertex-Edge Graphs and Algorithms 1. Follow, devise, and

40 0 http://www.nj.gov/education/cccs/2004/s4_math.pdf#page=40 www.nj.gov/education/cccs/2004/s4_math.pdf#page=40

shirts and 4 skirts). 4.4.5 D. Discrete Mathematics—Vertex-Edge Graphs and Algorithms 1. Devise strategies for winning simple games (e.g., start with two piles of objects, each of two players in turn removes any number of objects from a single pile, and the person to take the last group of objects wins) and express those strategies as sets of directions. Building upon knowledge and skills gained in preceding grades, by the end of Grade 6, students will: 4.4.6 A. Data Analysis 1. Collect

41 0 http://www.nj.gov/education/cccs/2004/s4_math.pdf#page=41 www.nj.gov/education/cccs/2004/s4_math.pdf#page=41

slate of officers from a class (e.g., if there are 23 students and 3 officers, the number is 23 x 22 x 21) 3. List the possible combinations of two elements chosen from a given set (e.g., forming a committee of two from a group of 12 students, finding how many handshakes there will be among ten people if everyone shakes each other person’s hand once). 4.4.6 D. Discrete Mathematics—Vertex-Edge Graphs and Algorithms 1. Devise strategies for winning simple games (e.g., start with two piles of objects

42 0 http://www.nj.gov/education/cccs/2004/s4_math.pdf#page=42 www.nj.gov/education/cccs/2004/s4_math.pdf#page=42

shortest network connecting specified sites • Finding the shortest route on a map from one site to another • Finding the shortest circuit on a map that makes a tour of specified sites Building upon knowledge and skills gained in preceding grades, by the end of Grade 8, students will: 4.4.8 A. Data Analysis 1. Select and use appropriate representations for sets of data, and measures of central tendency (mean, median, and mode). • Type of display most appropriate for given data • Box-and-whisker plot

44 0 http://www.nj.gov/education/cccs/2004/s4_math.pdf#page=44 www.nj.gov/education/cccs/2004/s4_math.pdf#page=44

represent and solve practical problems. • Circuits that include every edge in a graph • Circuits that include every vertex in a graph • Scheduling problems (e.g., when project meetings should be scheduled to avoid conflicts) using graph coloring • Applications to science (e.g., who-eats-whom graphs, genetic trees, molecular structures) 2. Explore strategies for making fair decisions. • Combining individual preferences into a group decision (e.g., determining winner of an election or selection process

www.nj.gov/education/cccs/2004/s4_math.pdf#page=41

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accountability for grades 3 to 8 and HS standards began in 2005-06 . Grade 3 Grade 3 Reading analyze words, recognize words, and learn to read grade-level text fluently across the subject areas . DeCoDing AnD worD reCognition EL.03.RE.01 read regular words with several syllables. EL.03.RE.02 use letter-sound correspondence knowledge and structural analysis to decode words. EL.03.RE.03 Know and use more complex word patterns when reading (e.g., -ight) to decode unfamiliar words. EL.03.RE.04 read aloud grade-level

1 0 http://www.ode.state.or.us/teachlearn/real/documents/el03.pdf#page=1 www.ode.state.or.us/teachlearn/real/documents/el03.pdf#page=1

accountability for grades 3 to 8 and HS standards began in 2005-06 . Grade 3 Grade 3 Reading analyze words, recognize words, and learn to read grade-level text fluently across the subject areas . DeCoDing AnD worD reCognition EL.03.RE.01 read regular words with several syllables. EL.03.RE.02 use letter-sound correspondence knowledge and structural analysis to decode words. EL.03.RE.03 Know and use more complex word patterns when reading (e.g., -ight) to decode unfamiliar words. EL.03.RE.04 read aloud grade-level

www.ode.state.or.us/teachlearn/real/documents/el03.pdf#page=1

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GRADE CWR

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Concept 4: Vertex-Edge Graphs Understand and apply vertex-edge graphs. In Grades 11 and 12, students extend their understanding of networks to devise, analyze, and apply algorithms for solving problems related to circuits, shortest paths, minimum weight spanning trees, and adjacency matrices. Performance Objectives Process Integration Explanations and Examples Students are expected to: PO 1. Study the following topics related to vertex-edge graphs: Euler circuits, Hamilton circuits, the

6 0 http://www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGradeCWR.pdf#page=6 www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade...

This strand requires students to use data collection, data analysis, statistics, probability, systematic listing and counting, and the study of graphs. This prepares students for the study of discrete functions as well as to make valid inferences, decisions, and arguments. Discrete mathematics is a branch of mathematics that is widely used in business and industry. Combinatorics is the mathematics of systematic counting. Vertex-edge graphs are used to model and solve problems involving paths, networks, and

14 0 http://www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGradeCWR.pdf#page=14 www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade...

Concept 4: Vertex-Edge Graphs Understand and apply vertex-edge graphs. In Grades 11 and 12, students extend their understanding of networks to devise, analyze, and apply algorithms for solving problems related to circuits, shortest paths, minimum weight spanning trees, and adjacency matrices. Performance Objectives Process Integration Explanations and Examples Students are expected to: PO 1. Study the following topics related to vertex-edge graphs: Euler circuits, Hamilton circuits, the

15 0 http://www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGradeCWR.pdf#page=15 www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade...

and Examples Students are expected to: PO 2. Understand, analyze, and apply vertex-edge graphs to model and solve problems related to paths, circuits, networks, and relationships among a finite number of elements, in real-world and abstract settings. Connections: MCWR-S2C4-01, MCWR- S2C4-03, MCWR-S2C4-04, SSHS-S4C1- 03 MCWR-S5C2-01. Analyze a problem situation, determine the question(s) to be answered, organize given information, determine how to represent the problem, and identify

www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade...

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Microsoft Word - SocialStudiesGLEs.doc

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evaluate how history shapes the present and future. Component 4.1: Understands historical chronology. Component 4.2: Understands and analyzes causal factors that have shaped major events in history. Component 4.3: Understands that there are multiple perspectives and interpretations of historical events. Component 4.4: Uses history to understand the present and plan for the future. Social Studies EALR 5: SOCIAL STUDIES SKILLS - The student understands and applies reasoning skills to conduct research

5 0 http://www.k12.wa.us/SocialStudies/pubdocs/SocialStudiesGLEs.pdf#page=5 www.k12.wa.us/SocialStudies/pubdocs/SocialStudiesGLEs.pdf#page=5

evaluate how history shapes the present and future. Component 4.1: Understands historical chronology. Component 4.2: Understands and analyzes causal factors that have shaped major events in history. Component 4.3: Understands that there are multiple perspectives and interpretations of historical events. Component 4.4: Uses history to understand the present and plan for the future. Social Studies EALR 5: SOCIAL STUDIES SKILLS - The student understands and applies reasoning skills to conduct research

31 0 http://www.k12.wa.us/SocialStudies/pubdocs/SocialStudiesGLEs.pdf#page=31 www.k12.wa.us/SocialStudies/pubdocs/SocialStudiesGLEs.pdf#page=31

societies face. GLE K 1 2 3 4 5 2.4.1 Recommended Scope & Sequence E C ONOMI C ISS U E S Understands how geography, natural resources, climate, and available labor contribute to the sustainability of the economy of regions in Washington State. Examples: − Explains that available labor resources determine economic opportunities for the agricultural industry. − Draws conclusions about how the economy in each region of Washington State could change as a result of the

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included within regular classroom assessment but which are not assessed at the State level. Skills to Support Standards - common across grade levels. Oregon Standards Newspaper — 2009–2010 School Year — Oregon Department of Education Page 29B High School High School Reading analyze words, recognize words, and learn to read grade-level text fluently across the subject areas . DeCoDing AnD worD reCognition EL.HS.RE.01 Read at an independent and instructional reading level appropriate to grade level

1 0 http://www.ode.state.or.us/teachlearn/real/documents/elcm.pdf#page=1 www.ode.state.or.us/teachlearn/real/documents/elcm.pdf#page=1

included within regular classroom assessment but which are not assessed at the State level. Skills to Support Standards - common across grade levels. Oregon Standards Newspaper — 2009–2010 School Year — Oregon Department of Education Page 29B High School High School Reading analyze words, recognize words, and learn to read grade-level text fluently across the subject areas . DeCoDing AnD worD reCognition EL.HS.RE.01 Read at an independent and instructional reading level appropriate to grade level

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8. Draw conclusions and inferences from texts. 9. Recognize first-person “I” point of view. 10. Compare and contrast story plots, characters, settings, and themes. 11. Participate in creative responses to texts (e.g., dramatizations, oral presentations). 12. Read regularly in materials appropriate for their independent reading level. 13. Read and comprehend both fiction and nonfiction that is appropriately designed for grade level. 14. Use information and reasoning to examine bases of hypotheses and

12 0 http://www.nj.gov/education/cccs/2004/s3_lal.pdf#page=12 www.nj.gov/education/cccs/2004/s3_lal.pdf#page=12

in silent independent reading for specific purposes. 3.1.1 H. Inquiry and Research 1. Ask and explore questions related to a topic of interest. 2. Draw conclusions from information and data gathered. 3. Be exposed to and read a variety of fiction and nonfiction, and produce evidence of reading. Building upon knowledge and skills gained in preceding grades, by the end of Grade 2, students will: 3.1.2 A. Concepts About Print/Text 1. Use titles, tables of contents, and chapter headings to locate information. 2

14 0 http://www.nj.gov/education/cccs/2004/s3_lal.pdf#page=14 www.nj.gov/education/cccs/2004/s3_lal.pdf#page=14

8. Draw conclusions and inferences from texts. 9. Recognize first-person “I” point of view. 10. Compare and contrast story plots, characters, settings, and themes. 11. Participate in creative responses to texts (e.g., dramatizations, oral presentations). 12. Read regularly in materials appropriate for their independent reading level. 13. Read and comprehend both fiction and nonfiction that is appropriately designed for grade level. 14. Use information and reasoning to examine bases of hypotheses and

18 0 http://www.nj.gov/education/cccs/2004/s3_lal.pdf#page=18 www.nj.gov/education/cccs/2004/s3_lal.pdf#page=18

features (e.g., paragraphs, topic, sentence, index, glossary, table of contents) and graphic features, (e.g., charts, maps, diagrams) to comprehend information. 2. Develop an understanding of the organizational structure of printed material (e.g. chronological, sequential, procedural text). 3.1.7 B. Phonological Awareness No additional indicators at this grade level. 3.1.7 C. Decoding and Word Recognition 1. Distinguish among the spellings of homophones (e.g. cite, site, sight). 2. Apply spelling rules and

www.nj.gov/education/cccs/2004/s3_lal.pdf#page=14

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GRADE HS

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find Hamilton paths, and discuss implications for ranking the players in the tournament. In grades 9 and 10, students can expand their initial methods of analysis to now include a matrix method to rank the players in the tournament. Grade 8 Example: • Four players (Dom, Nate, Ryan, & Zach) are playing in a round-robin tennis tournament, where every player plays every other player. Dom beats Nate and Ryan, Nate beats Zach, Ryan beats Nate and Zach, and Zach beats Dom. o Represent this

6 0 http://www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGradeHS.pdf#page=6 www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade...

Discrete Mathematics This strand requires students to use data collection, data analysis, statistics, probability, systematic listing and counting, and the study of graphs. This prepares students for the study of discrete functions as well as to make valid inferences, decisions, and arguments. Discrete mathematics is a branch of mathematics that is widely used in business and industry. Combinatorics is the mathematics of systematic counting. Vertex-edge graphs are used to model and solve problems involving

18 0 http://www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGradeHS.pdf#page=18 www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade...

find Hamilton paths, and discuss implications for ranking the players in the tournament. In grades 9 and 10, students can expand their initial methods of analysis to now include a matrix method to rank the players in the tournament. Grade 8 Example: • Four players (Dom, Nate, Ryan, & Zach) are playing in a round-robin tennis tournament, where every player plays every other player. Dom beats Nate and Ryan, Nate beats Zach, Ryan beats Nate and Zach, and Zach beats Dom. o Represent this

www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade...

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GRADE 7

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Arizona Mathematics Standard Articulated by Grade Level The bulleted items within a performance objective indicate the specific content to be taught. Explanations and Examples Updated 1.19.09 Grade 7 Arizona Department of Education: Standards and Assessment Division 18 Approved 6.24.08 Strand 2: Data Analysis, Probability, and Discrete Mathematics Concept 4: Vertex-Edge Graphs Understand and apply vertex-edge graphs. In Grade 7, students use vertex-edge

10 0 http://www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade7.pdf#page=10 www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade...

counting, and the study of graphs. This prepares students for the study of discrete functions as well as to make valid inferences, decisions, and arguments. Discrete mathematics is a branch of mathematics that is widely used in business and industry. Combinatorics is the mathematics of systematic counting. Vertex-edge graphs are used to model and solve problems involving paths, networks, and relationships among a finite number of objects. Concept 1: Data Analysis (Statistics) Understand and apply data

18 0 http://www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade7.pdf#page=18 www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade...

Arizona Mathematics Standard Articulated by Grade Level The bulleted items within a performance objective indicate the specific content to be taught. Explanations and Examples Updated 1.19.09 Grade 7 Arizona Department of Education: Standards and Assessment Division 18 Approved 6.24.08 Strand 2: Data Analysis, Probability, and Discrete Mathematics Concept 4: Vertex-Edge Graphs Understand and apply vertex-edge graphs. In Grade 7, students use vertex-edge

www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade...

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Microsoft Word - K-8 Mathematics Curriculum Framework.doc

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experiment Explicit A formula whose dependent variable is defined in terms of the independent variable Ex. y = 2x – 3 Exponential form A quantity expressed as a number raised to a power (In exponential form, 32 can be written as 2 5 .) Face A two-dimensional side of a three-dimensional figure Ex. The faces of a cube are squares. Factor One of two or more numbers that are multiplied together to get a product (13 and 4 are both factors of 52 because 13 • 4 = 52.) Flip (Reflection) (See

70 0 http://arkansased.org/teachers/pdf/k8_math_may05.pdf#page=70 arkansased.org/teachers/pdf/k8_math_may05.pdf#page=70

experiment Explicit A formula whose dependent variable is defined in terms of the independent variable Ex. y = 2x – 3 Exponential form A quantity expressed as a number raised to a power (In exponential form, 32 can be written as 2 5 .) Face A two-dimensional side of a three-dimensional figure Ex. The faces of a cube are squares. Factor One of two or more numbers that are multiplied together to get a product (13 and 4 are both factors of 52 because 13 • 4 = 52.) Flip (Reflection) (See

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