Number and Operations in Base Ten

Generalize place value understanding for multi-digit whole numbers.

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This 75-page pdf document demonstrates the connections between the CCSS content standards and the mathematical practice standards. It is a compilation of research, standards from several states, instructional strategies, common misconceptions, and examples for each standard at the grade 4 level. It is intended to help teachers understand what each standard means in terms of what students must know and be able to do. Additional flip books are cataloged separately for grades K-3 and 5. | Instructional Strategy, Reference Materials Grade Level: 4 | |

This page provides examples of 4th Grade Number (Operations and Algebraic Thinking, Number and Operations in Base Ten, and Number Operations-Fractions) activities aligned with the Common Core State Standards. A CCSS standard is stated and the possible activities are listed below and linked. All activities are suitable for use in Math Centers, small group or whole class settings and are designed to elicit a range of responses and provide opportunities for students to communicate their reasoning and mathematical thinking. Instructions for each task are typed in large print and written in child-friendly language to enable students to work on activities independently after a brief introduction to the task. All files for the 4th Grade Number Activities listed are in PDF format. | Activity, Game Grade Level: 4 | |

This question and answer service for math students and their teachers offers a searchable archive all about numbers and number sense at the elementary level. | Reference Materials, Community Grade Level: 3, 4, 5, 6+ | |

This question and answer service for math students and their teachers offers a searchable archive all about place value at the elementary level. Topics addressed include rounding, estimating, significant digits, and scientific notation. | Community Grade Level: 3, 4, 5, 6+ | |

This interactive Flash applet helps students explore place value and develop number sense within whole numbers, integers and decimals. It allows a child or teacher to select an interval in the given number line and show that interval divided into ten equal parts but on a larger scale, which can then be repeated. Users may choose the size of the interval between markers on the first number line and the starting number of that line, as well as whether to hide or show individual number lines and the numbers on them. This applet lends itself well for use on an interactive white board. A pdf guide to this collection of teaching applets is cataloged separately. | Activity, Interactive Media Grade Level: 1, 2, 3, 4, 5 | |

This interactivity presents estimation challenges in over two dozen math content areas, including counting, whole and decimal operations, measurements, and fraction/decimal equivalents. Rather than needing exact answers, students earn zero to 5 points based on the closeness of each of their estimates completed in a fixed time period. A link to a brief tutorial introduction is provided (cataloged separately). | Activity, Interactive Media Grade Level: K, 1, 2, 3, 4, 5, 6+ | |

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+ | |

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 | |

The authors of this website have identified 8 common misconceptions that lead to errors in mathematics (and promise to add more as time permits). Topics include: Rounding Numbers, Multiplication can Increase or Decrease a Number, Multiplying Decimals, Decimals and their Equivalent Fractions, Dividing Whole Numbers by Fractions, Adding with Negative Numbers, Calculations with Negative Numbers, and Calculations with Hundreds and Thousands. Each misconception is described in a pdf document which explains how the misconception arises, the rationale for the correct concept, and exercises aimed at reinforcing the correction. | Problem Set, Tutorial Grade Level: 4, 5, 6+ | |

This 5-minute video makes effective use of color coding to explain how to round a given 7-digit number to six different levels of precision. | Demonstration, Video Grade Level: 4, 5 |