## Common Core State Standards for Mathematics

Grade(s) K-12 resources related to the following standard:
Standards for Mathematical Practice
Construct viable arguments and critique the reasoning of others.

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This post from the Teaching Channel presents teacher established routines and norms that support students in developing critical thinking skills. Each routine is discussed and a short video highlights the strategy being utilized in the classroom.
Instructional Strategy, Community, Video
Grade Level: K, 1, 2, 3, 4, 5, 6+
This problem builds on simple sorting skills and gives children the opportunity to use logical reasoning. Students describe the characteristics of ten marbles using their different color markings and then design a color scheme for marbles to show specific attributes. The Teachers' Notes page offers rationale, suggestions for implementation, discussion questions, ideas for extension and support.
Activity
With this interactive Java Sketchpad applet students use spatial reasoning and measurement skills to explore quadrilateral kites. The vertices can be manipulated as kite properties are maintained. Also included are tasks that focus the learner's manipulations.
Activity, Interactive Media
Grade Level: 3, 4, 5, 6+
This 13-minute video shows Becky Pittard's class of 5th graders reasoning about multiplying fractions. This lesson is based on a real world problem and incorporates correct and incorrect models in order to get students to determine what a part of a part should look like. Included with this resource is a transcript of the video, a copy of the lesson plan, and the student's worksheet all in PDF form.
Lesson Plans, Video
This problem asks students to visualize a square drawn on a clock face and estimate and calculate its area. The problem can be solved without use of the Pythagorean Theorem. Ideas for implementation, extension and support are included along with printable sheets of clock faces.
Activity
This 440-page report explores how students in pre-K through grade 8 learn mathematics, with a focus on number and operations, and recommends how teaching, curricula, and teacher education should change to improve mathematics learning. (A 39-page summary, Helping Children Learn Mathematics, is catalogued separately.) The authors identify five interdependent components of mathematical proficiency and describe how students develop this proficiency. The report presents a portrait of mathematics learning: research findings on what children know about numbers before they arrive in pre-K and the implications for instruction; details on the processes by which students acquire mathematical proficiency; what is known from research about teaching for mathematics proficiency and developing proficiency in teaching. Visitors to this website may read the full text online, download a copy (pdf), or purchase a hard copy.
Reference Materials
Grade Level: Pre-K, K, 1, 2, 3, 4, 5, 6+
This Web unit describes a project involving fifth grade students and the areas of the fifth and sixth grade classrooms. Included in the unit are measurement, graphing, computation, data analysis, and presentation of results. The lesson descriptions and extensions, student worksheets and charts, figures, and tables appeared as an article in the NCTM journal Teaching Children Mathematics.
Project, Unit of Instruction
This session, the first one in the Annenberg series "Patterns, Functions, and Algebra" enables the teacher to discover what it means to think algebraically, and to learn to use algebraic thinking skills to make sense of different situations. Topics covered include describing situations through pictures, charts, graphs, and words; interpreting and drawing conclusions from qualitative graphs; and creating graphs to match written descriptions of real-life situations. The session includes sequentially organized problems, video viewing, interactive activities, readings, and homework. The materials may be used on your own, in a study group, or as a facilitated online course for graduate credit, which is offered at a reasonable cost.
Course, Unit of Instruction
Grade Level: 3, 4, 5, 6+
Resource is part of a PD collection