## Common Core State Standards for Mathematics

Grade(s) K-12 resources related to the following standard:
Standards for Mathematical Practice
Look for and express regularity in repeated reasoning.

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This applet provides students with tools to investigate the relationships among the measures of a circle. Students can resize a circle and record measurements to discover the circumference to diameter ratio, for example. A video clip, assignments, and a set of application problems is provided. For upper level students, lessons are provided for formally measuring and calculating circumference and area with pi.
Activity, Interactive Media
This Sketchpad activity, which opens on Geometer's Sketchpad and on iOS with Sketchbook Explorer (cataloged separately), allows players to learn about the use of symbols and variables as a way to represent numbers as students solve puzzles involving two unknowns using algebraic thinking. The sketch displays eight rows of symbols and each row presents a different combination of squares and circles. When students drag a row of symbols across the vertical divider line, the sketch displays the sum of the symbols. By dragging two or more rows, students gather information and determine the value of the circle and the square. Overview instructions and teacher notes are available as downloadable PDF.
Activity, Game, Interactive Media
In this blog entry Michelle Flaming describes what the implementation of MP 8 looks like in the classroom. She lists student actions, teacher actions, and open-ended questions that teachers can ask students to elicit the kind of reasoning called for in MP 8.
Reference Materials, Community
Grade Level: K, 1, 2, 3, 4, 5
Resource is part of a PD collection
This brief article relates the legend of young Gauss and the summing of consecutive numbers. Readers are asked to apply the method and they are shown a general solution. A link to a printable page is provided as well as links to related topics.
Reference Materials, Article
Grade Level: 3, 4, 5, 6+
This activity and Java applet allows a student to explore modular arithmetic. It is also a tool for finding remainders where all the possible numbers (the numbers less than the divisor) are put in a circle or clock. The learner uses the scroll bar to modify the size of the clock from 2 to 26 hours, sets a starting value and then moves the "clock" forward a number of specified hours to see the resulting sum. Support pages for the learner and the instructor are included.
Activity, Interactive Media
This interactive Java applet helps students analyze and extend patterns. The applet displays a pattern of beads and the user selects colors in the correct sequence to continue the pattern. The applet acknowledges each correct solution and encourages the user to fix any incorrect ones.
Activity, Interactive Media
This series of nine articles interprets and illustrates each of the eight Mathematical Practices of the Common Core State Standards as they might be exemplified in grades K-5. The final article sheds light on how curriculum needs to connect the Practices with the Content Standards.
Reference Materials, Article
Grade Level: K, 1, 2, 3, 4, 5
Resource is part of a PD collection