Number and Operations in Base Ten

Use place value understanding and properties of operations to perform multi-digit arithmetic.

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This interactive applet for two players helps develop estimation skills. As in the game Connect Four, each player tries to connect four game pieces in a row (horizontally, vertically, or diagonally) before the opponent does. Players earn game pieces by estimating the answers to displayed problems according to the user-set tolerance for accuracy. Users may choose the type of problems (addition, multiplication, and/or percentage) and the difficulty level. The game may be played with no time limit, or with a limit set by the users. | Activity, Game, Interactive Media Grade Level: 3, 4, 5, 6+ | |

Leonardo Fibonacci's multiplication algorithm arrays the digits of multiplicands along a rectangular lattice. Read an explanation of the technique, see a few worked examples, and watch the method in action with a Java applet. Clicking a little off-center of any digit of a multiplicand (left to increase, right to decrease) instantly changes resulting products and sums throughout the lattice. | Demonstration, Interactive Media Grade Level: 3, 4, 5 | |

This Java applet offers an interactive version of the standard "long" multiplication algorithm. Click any digit of either multiplicand slightly off-center (left to increase, right to decrease) and watch the corresponding products change accordingly. In addition to check-boxes to toggle the appearance of trailing zeros and other display choices, the applet also lets you change bases -- from base 3 to base 36. | Demonstration, Interactive Media Grade Level: 3, 4 | |

This document provides descriptions and examples of what each Mathematics Common Core standard means a Grade Four student will know, understand and be able to do. This "unpacking" of the standards provides instructional guidelines and was developed to assist North Carolina educators teach the Mathematics Common Core (Standard Course of Study). | Reference Materials Grade Level: 4 | |

This lesson helps students develop conceptual understanding of 2-digit multiplication. Students decompose 2-digit numbers, model area representations using the distributive property and partial product arrays, and carry out paper-and-pencil calculations from the arrays. Included are student activity sheets, a link to a supporting online applet, and extension suggestions. | Activity, Lesson Plans Grade Level: 3, 4, 5 Resource is part of a PD collection | |

This free iOS app uses virtual base-10 blocks to help students develop their understanding of place value and computation strategies with multi-digit numbers. Students use the number pieces to represent multi-digit numbers, regroup, add, subtract, multiply, and divide. | Interactive Media, Mobile App Grade Level: K, 1, 2, 3, 4, 5 | |

This interactive Java applet, based on the familiar game Connect Four, gives students practice in applying order of operations. Two players take turns evaluating expressions involving the four basic operations (addition, subtraction, multiplication and division). If correct, the player places a black or red checker on the board with the goal of connecting four in a row ( horizontally, vertically, or diagonally) before the opponent does. Players choose from four levels of difficulty; they can adjust the timing feature and whether to involve exponents and/or parentheses. | Activity, Game, Interactive Media Grade Level: 3, 4, 5, 6+ | |

This is a sample PARCC assessment task based on CCSS grade 4 operations and algebraic thinking standards as well as the number and operations in base ten standards. In this interactive single task students must solve a multi-step problem by completing an order receipt for orange juice. Included are the alignments to the CCSS, a scoring rubric and background on the task itself. | Assessment, Problem Set, Reference Materials Grade Level: 4 | |

This webpage contains customizable resources that promote evidence-based practices, such as Universal Design for Learning (UDL), and that make use of technology to support the Common Core State Standards (CCSS) for all learners. Resources include Math Instructional Strategy Guides that address effective practices as well as sample lessons and articles that provide strategies for implementing formative assessment, UDL, and technology. | Instructional Strategy, Lesson Plans Grade Level: K, 1, 2, 3, 4, 5, 6+ | |

This interactive Java applet use arrays and three different computational models (Grouping, Common, or Lattice) to help students visualize and understand the process of multiplication of whole numbers. In each method the user drags sliders to adjust the two factors and then observes the resulting changes in the rectangular array and in the respective algorithm and product. | Activity, Interactive Media Grade Level: 2, 3, 4, 5 Resource is part of a PD collection |