Applying this result to k, gives us onehalf of the next theorem see also. A book embedding of a graph consists of a linear ordering of its vertices, with the edges partitioned into sets such that, under the given layout of the vertices, edges which are in the same set can be drawn without crossing on halfplanes bounded by. These forms include a class reporting form and a focus for. Then either g contains disjoint paths from s 1 to t 1 and from s 2 to t 2, or g, s 1, s 2, t 1, t 2 is planar. K3 dra individual student graphs by amber daige tpt.
In theorem 2, we deal with only the case where t is even, but when t is odd, we obtain corollary 3 as a direct corollary. This file is licensed under the creative commons attributionshare alike 3. Word, external article iii series 3000 school district organization. The existence of a connected 12regular k4, ik 2,2, 2 ultrahomogeneous graph g is established, i. Maximum number of colorings of 2k, k2graphs article in journal of graph theory 562. It is a tool to be used by instructors to identify a students reading level, accuracy, fluency, and comprehension.
Comments 1 instructional level expectations for reading. Students match simple descriptions of work that people do and the names of related jobs at the school, in the local community, and from historical accounts. Be sure to have the forms necessary to record data for the entire class. To show that the petersen graph is not planar we must nd a topological k 5 or k 3. Subdivisions of k5 in graphs containing k2,3 sciencedirect. Teacher guide dra2, k 3 unknown binding january 1, 2006 5.
Understanding your childs dra reading level scholastic. Revised fall 2006 3 developmental reading assessment overview the dra has 2 major components assessment with the student and scoring the assessment. The factorization rule on k graph skeleton is what distinguishes one k graph defined on the same skeleton from another k graph. Beginning in the 20102011 school year, cheney teachers began using the dra2 developmental reading assessment 2 to administer the second grade reading assessment.
We will heavily use the k 3 case of the following result of perfect. Rocks, minerals and fossils grade 45, a resourcebased unit study from the stewart resources centre. View homework help ps10soln from ece 311 at university of toronto. That is, it is a bipartite graph v 1, v 2, e such that for every two vertices v 1. Permission is granted to copy, distribute andor modify this document under the terms of the gnu free documentation license, version 1. E be a graph with e6 the line graph of gis the graph l. The minimum value of f for which slip occurs between the two books is a zero b 1. Extremal graph theory for bookembeddings jessica mcclintock. These are individual student graphs that make it easy to track student progress in a great visual. All structured data from the file and property namespaces is available under the creative commons cc0 license. Sincek3, 3 has no triangles in fact, no odd cycles at all, every region of g must contain at least.
This page was last edited on 31 december 2014, at 10. The lower book is pulled with a horizontal force f. Set starting point of vertical axis at the nearest ten below the students. Comments 1 developmental spelling assessment dsa gr.
Level 4 is the first level at which scores are maintained for accuracy, fluency, phrasing and retelling. There are 20 levels beginning with teacher assisted reading. Scores are not reported to the office of superintendent of public instruction ospi, but should be used by the teacher, school, and district to provide support for all students. Dra2 can be used with students from kindergarten through eighth grade. The complete graph k4 is planar k5 and k3,3 are not planar. West virginia college and careerreadiness dispositions and standards for student success for grades k12 pdf, external. First, create a class list on the dra2, k3, focus for instruction.
Elementary programming 4 after a variable is declared, you can assign a value to it by using an assignment statement. Printed on the folder is a record of the students dra2 assessments, student book graph, and fiction and. Once levels are identified, an instructor can use this information for instructional planning purposes. Any such embedding of a planar graph is called a plane or euclidean graph. A graph g v, e is planar iff its vertices can be embedded in the euclidean plane in such a way that there are no crossing edges. Abstract a bookembedding of a graph is a linear ordering of its vertices, and a partition of its edges into noncrossing sets called pages.
Population who which students could be assessed using the instrument. Comments 1 quick text level checkin comments 1 text level correlation chart. In java, the equal sign is used as the assignment operator. Show that h is a normal subgroup of g and describe the cosets of h. That is, it is a unit distance graph the simplest nonorientable surface on which the petersen graph can be embedded without crossings is the projective plane. Enter your mobile number or email address below and well send you a. The factorization rule on kgraph skeleton is what distinguishes one kgraph defined on the same skeleton from another kgraph. The utility graph k3,3 has no 2page book embedding, but it can be drawn as shown in a 2page book with only one crossing. The reason kgraphs were first introduced by kumjian, pask et. Jul 14, 2015 find k so that the terms k 3, k 1, and 4k2 form a geometric sequence. The developmental reading assessment dra is an individually administered assessment of a childs reading capabilities. Describe measurable attributes of objects, such as length or weight. An algorithm describes how a problem is solved by listing the actions that need to be taken. Begin the process of moving into instruction by grouping students.
They are nonplanar because you cant draw them without vertices getting intersected. Suppose thatk3, 3 is planar and letg be a plane embedding ofk3, 3. Translating algorithms into programming instructions, or code. Developmental reading assessment, second edition dra2. Rocks, minerals, fossils and coal energy a collection of 24 lesson plans. Maximum number of colorings of 2k, k2graphs request pdf. However, this bound is not sharp and in this paper, we show the following result. Amazingly this turns out to be the only situation that we need to avoid. If k m,n is regular, what can you say about m and n. A graph gis planar if and only if it does not contain a topological k 5 or k 3. The petersen graph can also be drawn with crossings in the plane in such a way that all the edges have equal length. In this paper, we also improve this result for any 3connected graph on a surface of euler characteristic.
Joetta is the primary author of the dra2 k 3 and dra2 word analysis, and coauthor of the dra2 48 as well as the dra2 progress monitoring assessment. A graph, g graph g is an ordered pair v,e, where v is a finite set and. There are two measures or the quality or a book embedding tor g. The book thickness of a graph there are several geometric. Student materials name enter test based on date nearest to when the test was taken. Grades k2 by topic next generation science standards. Let g c and h be the subset of complex numbers of modulus 1. Dra2, k3, student book graph 14 studentbookgraph k3. Developmental reading assessment second edition plus. The reason k graphs were first introduced by kumjian, pask et. Theorem 4 let g be a 3connected graph on a surface of euler characteristic. Use the information that was documented during the. Group students according to their instructional needs.
Geometric sequences a sequence is geometric if each term can be obtained from the previous one by multiplying by the same nonzero constant. These are fabulous for progress monitoring binders and parentteacher conferences. Ask and answer questions in order to seek help, get information, or clarify something that is not understood. Mathematics stack exchange is a question and answer site for people studying math at any level and professionals in related fields. This is the embedding given by the hemidodecahedron construction of the petersen graph. The first measure is the pagenumber or the embedding, which is the number or pages in the book. Let g be a connected graph and s 1, s 2, t 1, t 2 be distinct vertices of g such that g is 4, s 1, s 2, t 1, t 2connected. Describe several measurable attributes of a single object.
A k 5free graph is an undirected graph which does not contain a k 5 as a minor. The graphs allow you to show parents the expected reading growth for the year and exactly where their child falls. A refines the partition a if each ai is contained in some aj. West virginia college and careerreadiness dispositions and standards for student success for grades k 12 pdf, external.
Files are available under licenses specified on their description page. You may do so in any reasonable manner, but not in. Dra2, k3, student book graph read around foxborough. Dra2 kit grade k 3 does not include progress monitoring assessment 9781428405295. See all formats and editions hide other formats and editions. For a given graph g, there are many possible book embeddings. But there is also a nice geometric proof that can be found, for example, in the book proofs without words. Graph on the left is bipartite, graph on the right is not, as it has an odd circuit 126851. Thus there is a 99% chance that the true but unknown. A complete bipartite graph is a graph whose vertices can be partitioned into two subsets v 1 and v 2 such that no edge has both endpoints in the same subset, and every possible edge that could connect vertices in different subsets is part of the graph. Then, every hminor free planar graph has treewidth at most ok32 v r. A complete bipartite graph k m,n is a bipartite graph that has each vertex from one set adjacent to each vertex to another set. Also, each student needs a student assessment form and a student book graph.
472 941 792 1531 69 1312 1050 687 602 1432 120 903 54 656 77 1143 646 656 696 474 1113 894 931 1029 1364 1047 907 943 554 28 269 363 1248 1335 101 1411