Standards for Mathematical Practice

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Resource | Resource Type Grade Level | Rating |
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In this lesson students see how data collection and analysis can aid in decision making. Learners are introduced to the concepts of range, mean, median, and mode. The lesson is supported with curriculum and standards alignments, a 3.5 minute video, a handout, and assessment materials (rtf format), accessible prior to viewing the video. | Activity, Lesson Plans, Video Grade Level: 5, 6+ | |

This interactive applet gives students six problems to solve involving rectangular floor spaces and the connections between area and perimeter. Students allocate two-dimensional space based on the area and perimeter specifications of various party activities. (Note: all four corners of the rectangles are draggable). | Activity, Interactive Media Grade Level: 3, 4, 5 | |

This 3-lesson unit focuses students on the interplay of the measurements perimeter and area. Lesson 1 gives examples of perimeter for a general polygon. Lesson 2 emphasizes the independence of each measure, and Lesson 3 has students layout a bedroom, calculating the measures overall and of the components. The unit includes six student resource sheets, including a summative assessment, and answer keys. | Assessment, Activity, Lesson Plans, Unit of Instruction Grade Level: 3, 4, 5 | |

This tutorial provides students with experience using three types of distance scales on regional maps of North America. An introduction shows how to make use of the bar scale, the statement of equivalence, and the representative fraction (ratio) to determine distance between two locations. Printable instructions and two sets of interactive exercises are provided. | Activity, Interactive Media, Tutorial Grade Level: 5, 6+ | |

This interactive Java learning tool allows a teacher to demonstrate and explore the distributive property with expressions in the factored form (a + b) (c + d) using a matrix multiplication method with students. Sliders determine the number values from 20 to -20 with increments of one-tenth. Check boxes show or hide the factored form, starting matrix values, matrix, products in the matrix, and solution. | Demonstration, Interactive Media Grade Level: 3, 4, 5, 6+ | |

In this 6-lesson unit, students use dominoes to explore four models of addition: counting, number line, sets, and balanced equations. They learn about the commutative property, the relation between addition and subtraction, the result of adding 0, and the concept of doubles. Students write story problems which involve the operation of addition and begin to memorize the addition facts. They represent addition in pictures. The various models of addition help students develop a rich conceptual schema for addition. Included are a Bibliography of Counting Books, student materials, questions for student and teacher reflection, assessment and extension ideas. [Suggestion: Use the alternate applet, Pan Balance - Numbers, listed as a Related Resource, rather than Pan Balance - Shapes, in Lesson 4.] | Activity, Game, Lesson Plans, Unit of Instruction Grade Level: K, 1, 2 | |

This problem asks students to solve for and compare the dimensions and perimeters of rectangles of equal area. Students are shown two rectangular formations made from nine congruent tiles. The activity includes links to a solution hint, the solution, related math questions, and additional resources. | Activity Grade Level: 3, 4, 5, 6+ | |

This classic 30-minute animation shows many connections and applications of mathematics. Included are topics in music, art, architecture, the natural world, and recreational games. | Video Grade Level: 5, 6+ | |

This collection of 5 video "snap shots" features Dr. Doug Clements speaking on mathematics in early childhood. Topics include Learning Trajectories, Intentional Play-Based Learning, Intentional Instruction, Integrated Concrete Concepts, and Early Math Learning. He addresses content knowledge necessary for teaching and the development of children's mathematical understanding. Each video is between 2 and 9 minutes long and may be viewed online or downloaded. | Video Grade Level: Pre-K, K, 1 | |

This narrative document describes the progression of Counting and Cardinality and Operations and Algebraic Thinking 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 students that of understanding and using numbers. The focus is on the basic operations—the kinds of quantitative relationships they model and consequently the kinds of problems they can be used to solve as well as their mathematical properties and relationships. | Reference Materials, Article Grade Level: K, 1, 2, 3, 4, 5 |