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 Back to Home Page  |  Recommend a Site  |  Settings   |  Sign In Education Web 1 Ha 3 Data 0 3D 19 Arizona 1 2 Pages | Viewing 1-10 of 11 total results GRADE 5 GRADE 5 9 9 16 16 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 5 Arizona Department of Education: Standards and Assessment Division 16 Approved 6.24.08 St... 1 0 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 5 Arizona Department of Education: Standards and Assessment Division 16 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 5, students continue to develop their 9 0 http://www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade5.pdf#page=9 www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade... 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 16 0 http://www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade5.pdf#page=16 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 5 Arizona Department of Education: Standards and Assessment Division 16 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 5, students continue to develop their www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade... Average Rating (0 votes) GRADE CWR GRADE CWR 6 6 14 14 15 15 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,... 1 0 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... Average Rating (0 votes) GRADE HS GRADE HS 6 6 18 18 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, N... 1 0 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... Average Rating (0 votes) GRADE 7 GRADE 7 10 10 18 18 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... 1 0 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... Average Rating (0 votes) GRADE 3 GRADE 3 15 15 19 19 previously solved problems, and identify possible strategies for solving the problem. M03-S5C2-08. Make and test conjectures based on data (or information) collected from explorations and experiments. Examples: • County map of Arizona • Map of United States... 1 0 previously solved problems, and identify possible strategies for solving the problem. M03-S5C2-08. Make and test conjectures based on data (or information) collected from explorations and experiments. Examples: • County map of Arizona • Map of United States PO 2. Investigate properties of vertex- edge graphs • circuits in a graph, • weights on edges, and • shortest path between two vertices. Connections: M03-S1C1-02, M03-S1C2- 01, M03-S1C2-02, SS3-S4C1-03 M03-S5C2-02. Identify relevant 15 0 http://www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade3.pdf#page=15 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 19 0 http://www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade3.pdf#page=19 www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade... previously solved problems, and identify possible strategies for solving the problem. M03-S5C2-08. Make and test conjectures based on data (or information) collected from explorations and experiments. Examples: • County map of Arizona • Map of United States PO 2. Investigate properties of vertex- edge graphs • circuits in a graph, • weights on edges, and • shortest path between two vertices. Connections: M03-S1C1-02, M03-S1C2- 01, M03-S1C2-02, SS3-S4C1-03 M03-S5C2-02. Identify relevant www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade... Average Rating (0 votes) GRADE 2 GRADE 2 15 15 17 17 colored using the same color. Many students believe a point is considered an edge. Realizing that a point is not an edge does not happen without exploration and discussion. Students should have multiple opportunities to color a variety of simple pictures and maps. The goal is ... 1 0 colored using the same color. Many students believe a point is considered an edge. Realizing that a point is not an edge does not happen without exploration and discussion. Students should have multiple opportunities to color a variety of simple pictures and maps. The goal is for students to use the fewest number of colors; some possible strategies that young children may use include a guess-and-check strategy, use many colors and try to eliminate one color at a time; or use few colors and insert 15 0 http://www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade2.pdf#page=15 www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade... colored using the same color. Many students believe a point is considered an edge. Realizing that a point is not an edge does not happen without exploration and discussion. Students should have multiple opportunities to color a variety of simple pictures and maps. The goal is for students to use the fewest number of colors; some possible strategies that young children may use include a guess-and-check strategy, use many colors and try to eliminate one color at a time; or use few colors and insert 17 0 http://www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade2.pdf#page=17 www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade... Explanations and Examples Students are expected to: PO 2. Build vertex-edge graphs using concrete materials and explore simple properties of vertex-edge graphs • number of vertices and edges, • neighboring vertices, and • paths in a graph. Connections: M02-S2C4-03 A vertex-edge graph is a collection of vertices and edges. A vertex is a point/dot that represents an object or location. An edge connects two vertices and represents some relationship between them. The vertex-edge graph below has 4 www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade... Average Rating (0 votes) GRADE 1 GRADE 1 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, a... 1 0 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 paths 8 0 http://www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade1.pdf#page=8 www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade... 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 paths www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade... Average Rating (0 votes) GRADE K GRADE K 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 K Arizona Department of Education: Standards and Assessment Division 7 Approved 6.24.08 S... 1 0 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 K Arizona Department of Education: Standards and Assessment Division 7 Approved 6.24.08 Strand 2: Data Analysis, Probability, and Discrete 7 0 http://www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGradeK.pdf#page=7 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 K Arizona Department of Education: Standards and Assessment Division 7 Approved 6.24.08 Strand 2: Data Analysis, Probability, and Discrete www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade... Average Rating (0 votes) GRADE 4 GRADE 4 11 11 18 18 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 4 Arizona Department of Education: Standards and Assessment Division 18 Approved 6.24.08 St... 1 0 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 4 Arizona Department of Education: Standards and Assessment Division 18 Approved 6.24.08 Strand 2: Data Analysis 11 0 http://www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade4.pdf#page=11 www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade... Probability, and 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 18 0 http://www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade4.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 4 Arizona Department of Education: Standards and Assessment Division 18 Approved 6.24.08 Strand 2: Data Analysis www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade... Average Rating (0 votes) GRADE 8 GRADE 8 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 s... 1 0 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 collection 7 0 http://www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade8.pdf#page=7 www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade... 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 collection www.ade.state.az.us/standards/math/Articulated08/Gradeleveldocs/MathGrade... Average Rating (0 votes) 1 2 Pages | © Copyright Vantage Labs LLC All rights reserved.    About iSEEK Education  |  Privacy Policy  |  Contact Us  |  FAQ Total time to process: 10971ms - Cache load: 0ms.