Number and Operations in Base Ten

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

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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 web page provides links to resources aligned to the CCSS that guide and support fourth grade mathematics teaching and learning. Tasks developed by the Mathematics Assessment Resource Service (MARS) for the Noyce Foundation, Problems of the Month, (POM home page is cataloged separately) and videos of public lessons and number talks developed by the Noyce Foundation are also included. The performance tasks were originally designed to measure students' ability to solve non-routine problems and then to explain and justify their solutions. The task scoring rubric, student responses, and discussion of student understanding and misconceptions are provided to improve instruction. Resources are listed for specific grade 4 standards and are also organized by progression for an alternate search route. | Activity, Instructional Strategy, Problem Set, Reference Materials, Video 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 web site contains information and interactive applets related to our Hindu-Arabic number system. Users learn the history and structure of the system as well as how to count and write numbers. Users can learn and practice various algorithms for whole number computation and explore fractions, decimals and percents in our number system. The site explains various sets of numbers and how they relate to operations. | Activity, Interactive Media, Tutorial, Reference Materials Grade Level: 1, 2, 3, 4, 5 | |

This interactive Java game, similar to Connect Four, helps students develop game strategy and fluency with number facts. Two players each try to connect four game pieces in a row (vertically, horizontally or diagonally) before the opponent does by correctly answering problems. For each game players can choose whole numbers and/or integers as well as the operation(s) – addition, subtraction, multiplication, division. They can also select the difficulty level and the time limit for each problem. | Activity, Game, Interactive Media Grade Level: 1, 2, 3, 4, 5, 6+ | |

This interactive Java applet develops logical reasoning skills and fluency with two-digit addition. The game board consists of a ring of seven overlapping circles, each with 3 regions. Numbers are provided in five regions. The player drags 9 other numbers to the empty regions so that the sum of the numbers within each circle is 99. | Activity, Game, Interactive Media Grade Level: 2, 3, 4, 5 | |

This Flash card game helps users develop mental computation skills by finding sums of 3 or 4 numbers. A student and the opponent, Okta the octopus take turns selecting cards. The first one to reach the target sum with 3 cards (in the 9‑card game) or 4 cards (in the 16‑card game) wins the game. You can choose how many cards are presented (9 or 16), what types of numbers they display (small integers through tricky decimals), and Okta's level of strategy. The game is not timed but depends on strategic planning in order to defend against Okta's moves while trying to collect a winning group of cards. | Game Grade Level: 2, 3, 4, 5, 6+ | |

This Android app for the Illuminations online game Deep Sea Duel card game helps users develop mental computation skills by finding sums of 3 or 4 numbers. A student and the opponent, Okta the octopus take turns selecting cards. The first one to reach the target sum with 3 cards (in the 9-card game) or 4 cards (in the 16-card game) wins the game. You can choose how many cards are presented (9 or 16), what types of numbers they display (small integers through tricky decimals), and Okta's level of strategy. The game is not timed but depends on strategic planning in order to defend against Okta's moves while trying to collect a winning group of cards. | Activity, Game, Mobile App Grade Level: 2, 3, 4, 5, 6+ | |

This iOS app for the Illuminations online card game Deep Sea Duel (cataloged separately) helps users develop mental computation skills by finding sums of 3 or 4 numbers. A student and the opponent, Okta the octopus take turns selecting cards. The first one to reach the target sum with 3 cards (in the 9-card game) or 4 cards (in the 16-card game) wins the game. You can choose how many cards are presented (9 or 16), what types of numbers they display (small integers through tricky decimals), and Okta's level of strategy. The game is not timed but depends on strategic planning in order to defend against Okta's moves while trying to collect a winning group of cards. | Activity, Game, Mobile App Grade Level: 2, 3, 4, 5, 6+ | |

This collection of 6 games develops place value, operation sense and fluency, estimation, and strategic thinking. It is played on paper with a 6- or 9-sided die (printable pdf game sheets included). Players choose a game grid with empty cells representing the digits of a computation (addition, subtraction, multiplication, or division). They take turns rolling a die and placing the resulting number in a cell on their own grids. The goal is to create a sum/difference/product/quotient that is closest to a target number. Variations include using a decimal point and scoring options. Teachers' Notes include suggestions for introducing the game, discussion questions, support suggestions, and a link to a more challenging extension (Countdown, cataloged separately). | Activity, Game Grade Level: 2, 3, 4, 5, 6+ |