Number and Operations in Base Ten

Use place value understanding and properties of operations to add and subtract.

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This 51-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 2 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-1 and 3-5. | Instructional Strategy, Reference Materials Grade Level: 2 | |

This web page provides links to resources aligned to the CCSS that guide and support second grade mathematics teaching and learning. Tasks developed by the Mathematics Assessment Resource Service (MARS), Problems of the Month, (POM home page is cataloged separately) and videos of public lessons and number talks developed by the Noyce Foundation are included. The tasks were designed to measure students’ ability to solve non-routine problems, explain and justify their solutions, and promote high level thinking skills. They include the scoring rubric, student responses, and discussion of student understanding and misconceptions. Resources are listed for specific grade 2 standards and are also organized by progression for an alternate search route. | Assessment, Instructional Strategy, Problem Set, Reference Materials, Video Grade Level: 2 | |

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 helps students understand place value and regrouping. Base 10 is the default, but users may choose to work in base 2 or 5. A user places (or removes) chips of three colors in three columns to represent numbers of up to three digits. When the number of chips in any column equals the base number, the user can exchange them for a chip in the next column. Similarly a chip of a higher value can be exchanged for the base number of chips of the lower value. The applet can be used to model addition and subtraction with regrouping. | Activity, 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 Tetris-like interactive game develops estimation fluency with addition and subtraction. Users choose either operation, or a combination of both, and a difficulty range (0-20, 0-200, 0-2000). Sums and/or differences drop from the top of the field, and players use arrow keys to indicate whether they belong below or above the center of the range, or exactly on it. Created in The Netherlands, the applet contains a few Dutch words, but students will quickly figure out their meanings. | Activity, Game, Interactive Media Grade Level: 1, 2, 3, 4, 5 |