Standards for Mathematical Practice

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Resource | Resource Type Grade Level | Rating |
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This is the second of a three-part E-Example from Principles and Standards for School Mathematics of the NCTM algebra standards and this applet is also used in an Illumination unit that highlights different aspects of students' understanding and use of patterns as they analyze relationships and make predictions. This example demonstrates with animation various ways students might interpret the same sequence of cubes. These differences illustrate the importance of discussing and analyzing patterns in the classroom. | Activity, Video Grade Level: K, 1, 2 | |

This problem demonstrates the power of the 100 square (Hundred Chart) in helping children to recognize number properties and in beginning to reason carefully and form conjectures. Students look at sums of numbers located in a certain configuration within squares of the grid. There is a link to a printable hundred chart. | Activity Grade Level: 3, 4, 5 | |

In this Sketchpad activity, which opens on Geometer's Sketchpad and on iOS with Sketchbook Explorer (cataloged separately), 5 dice are shown and the player must determine how many polar bears are around the ice holes. The participant tries to figure out the riddle (rules of the game) by studying the dice arrangements and the answers that correspond. In this game, players also determine the number of fish and plankton. | Activity, Interactive Media Grade Level: 4, 5, 6+ | |

This interactive Java applet provides students with practice in subtraction and pattern recognition. Starting with four numbers in the corners of an outside square, students find the differences (larger minus the smaller) between the pair of numbers on each side of the square. After correctly completing each square, they repeat the process for the next inner square, until all squares are complete. Students can explore the patterns that emerge as they work toward the center square. Users can choose to work with whole numbers, integers, fractions, decimals, or money. They may also create their own problems by selecting the four starting numbers for the outside square. | Activity, Game, Interactive Media Grade Level: 1, 2, 3, 4, 5 | |

This applet from the E-Examples of NCTM, which could be used as an interactive presentation tool, allows the student to link numerical patterns to a visual display as a number pattern is displayed on a calculator and on a hundred board simultaneously. The learner's task is to compare counting sequences on the calculator with the patterns they generate on the hundred board with the goal of helping students to see patterns and then make predictions. Instructions for using the applet are provided as well as background for the teacher. | Activity, Interactive Media Grade Level: 2, 3, 4, 5 | |

This narrative document describes the progression of Geometric Measurement across the K-5 grade band. It is informed both by research on children's cognitive development and by the logical structure of mathematics. The document discusses the most important goals for elementary geometric measurement. Among those are recognizing measurable attributes, comparing, connecting with number, estimating, and differentiating linear measurement from area and volume. | Reference Materials, Article Grade Level: K, 1, 2, 3, 4, 5 Resource is part of a PD collection | |

This narrative document describes the progression of Geometry across the K-6 grade band. It is informed both by research on children's cognitive development and by the logical structure of mathematics. The document discusses the most important goals for elementary geometry in three categories, namely, geometric shapes and their categories, composing and decomposing geometric shapes, and spatial relations and spatial structuring. | Reference Materials, Article Grade Level: K, 1, 2, 3, 4, 5, 6+ Resource is part of a PD collection | |

This Java applet lets students explore types of quadrilaterals and their diagonal properties by manipulating their vertices. The applet presents a fixed set of diagonals and asks which types of quadrilaterals are constructible, among parallelograms, kites, rhombuses, trapezoids, isosceles trapezoids, squares and rectangles. | Activity, Interactive Media Grade Level: 4, 5, 6+ | |

Beth Schaubroeck's lessons for 4th and 5th grade accelerated students aim to help students appreciate the breadth and diversity of mathematical thought. The 68 lessons (in both pdf and doc formats) are grouped into 11 different topical units and are designed to take 15-25 minutes each of student time. They are appropriate for independent or small group work. The author provides student worksheets, solutions, and teacher guides. Topics include: Ancient Mathematics (Egyptian and Mayan), Baseball Statistics, Fibonacci Numbers, Games of Skill, Graphs and Networks, Iteration, Pick’s Theorem, Mobius Bands, Polygonal numbers, Statistics in the library, and Tangrams. | Activity, Lesson Plans Grade Level: 4, 5, 6+ | |

This interactive Java learning tool, which was constructed using the cross-platform open educational resource GeoGebra, allows a teacher to demonstrate and explore the relationship between the expressions a(n) and a^n with students. Sliders can change the whole number values of a from one to four and n from one to six. Shows a visual model when n is less than 4. | Activity, Demonstration, Interactive Media Grade Level: 4, 5, 6+ |