Standards for Mathematical Practice

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Resource | Resource Type Grade Level | Rating |
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This interactive Java applet helps users develop place value concepts involving addition of numbers with 1, 2, 3, or 4 digits. The virtual blocks are manipulated to model regrouping in order to solve addition problems posed by the applet. Users also may create and solve their own problems with whole numbers or up to 3 decimal places. The default of base 10 may be changed to any of the bases 2, 3, 4, or 5. | Activity, Interactive Media Grade Level: 1, 2, 3, 4, 5, 6+ | |

This interactive Java applet helps users develop place value concepts involving subtraction of numbers with 1, 2, 3, or 4 digits. The virtual blocks are manipulated to model regrouping in order to solve whole number subtraction problems posed by the applet. Users also may create and solve their own problems with whole numbers or with up to 3 decimal places. When creating problems a user may change the default of base 10 to any of the bases 2, 3, 4, or 5. | Activity, Interactive Media Grade Level: 1, 2, 3, 4, 5, 6+ | |

In this Flash game students estimate the location of fractions, whole numbers, and decimals on a number line. The game requires students to place a target on the estimated position of the ship from the value given. Students choose fractions, whole numbers, decimals, or a mixture and after passing the first level are prompted to choose their next level of play. | Game Grade Level: 3, 4, 5 | |

In this three lesson series students explore and create bar graphs, line plots, and stem-and-leaf plots. Students collect and display data from activities completed in class. The data representations are then analyzed to make predictions and/or determine median, mode, and range. In addition to the three lesson plans there are nine student resource sheets provided. | Assessment, Activity, Lesson Plans, Graph Grade Level: 4, 5 | |

This page links to an interactive Flash abacus that helps develop and reinforce pupils' understanding of place value. [Click "Start the Activity" to begin.] The abacus has three pegs (representing units, tens and hundreds) onto which users drop beads. The activity has two areas: a "free" (unstructured) area where pupils can represent 3-digit numbers, and a "computer questions" area that presents six challenging tasks to carry out. The page includes notes for teachers and pupils. | Activity, Interactive Media Grade Level: 1, 2 Resource is part of a PD collection | |

In this formative assessment lesson students identify patterns (both linear and exponential) in a realistic context. They may solve this problem through a variety of strategies, providing opportunities for groups of students to share and critique various problem solving approaches. | Activity, Lesson Plans Grade Level: 4, 5, 6+ | |

In this 8-minute video kindergarten teacher Karen Lassiter models a lesson designed to help children understand place value with the numbers 11-19. She explains her use of a 10-frame in developing understanding of counting on, addition, and notation. The resource includes reflection questions for viewers, a transcript of the video (doc), and a lesson plan (pdf). | Instructional Strategy, Video Grade Level: K, 1 | |

This problems is an opportunity to explore triangular numbers in the familiar context of decorating a birthday cake with a number of candles corresponding to a child's age. The problem lends itself to systematic strategies and multiple representations. The Teachers' Notes page offers rationale, suggestions for implementation, discussion questions, and ideas for extension and support. | Activity Grade Level: 1, 2, 3 | |

This interactive applet introduces students to the topic of combinations, a basic concept in probability. Users create combinations of shirts and pants to determine the total number of possible outfits. They may simply explore by placing the clothes on Bobbie, or make a guess and then test it. The number of shirt and pants choices is customizable. An optional voice provides prompts and feedback. | Activity, Interactive Media Grade Level: 3, 4, 5 | |

In this activity, learners decipher a page from the Dresden Codex, one of the few Mayan books still in existence. By thinking like an archaeologist, students combine their mathematical abilities with some basic logic and trial-and-error investigation to figure out what the codex means. In the course of this explorations, participants discover: How archaeologists have figured out what Mayan documents mean. How the Mayan system of counting is like ours, and how it is different. How Mayan beliefs were tied to their understanding of mathematics. | Activity, Instructor Guide/Manual, Project, Reference Materials, Article Grade Level: 4, 5, 6+ |