Operations and Algebraic Thinking

Use the four operations with whole numbers to solve problems.

Showing 1-10 of 43 results | Sort by: |

Resource | Resource Type Grade Level | Rating |
---|---|---|

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 problem reinforces the telling of time on a digital clock, and it requires students to work systematically. The number of 'times' the digit 5 appears in a 24-hour period is a matter of a solver's assumptions. Ideas for implementation, extension and support are included along with a printable poster. A link to an interactive Class Clock (cataloged separately) is provided. | Activity Grade Level: 3, 4, 5 | |

In this problem learners practice addition, subtraction and multiplication while developing logical reasoning. Solvers apply the given clues along with their understanding of the domino numbering system to determine which dominoes are missing from a set. The Teachers' Notes page includes suggestions for implementation, discussion questions, ideas for extension and support, printable sheets of dominoes (pdf), and a link to an interactive Dominoes Environment (cataloged separately). | Activity Grade Level: 3, 4, 5 | |

This NCTM resource presents a problem involving distance, rate and time. The challenge asks students to determine the number of days it would take a tern to migrate from the Arctic to the Antarctic given a constant rate of speed. Hints and prompts for students and additional "Try These" challenges about distance and speed are also included. Students may also check their answer and see steps to solve the problem. PDF files of the challenges are linked from the site for printing. | Activity Grade Level: 4, 5, 6+ | |

In this Science NetLinks lesson plan, students learn to see numerical relationships and how to solve complex problems by manipulating objects (beans) and solving equations. Working with a partner, students pack 8 bean bags (sandwich bags) by reading each rule and figuring out how many beans of each kind (red, lima and black) go in each bag; learners record answers in a table. For some bags there is only one possible solution, while for others there are several correct answers. Students can develop confidence in their answers even when they differ from those of their classmates. | Activity, Lesson Plans Grade Level: 3, 4, 5 | |

This interactive applet helps students develop fluency and flexibility with numbers. At each of 6 difficulty levels the user is presented with 8 target numbers and a partial set of keys on a basic calculator (does not follow order of operations). The goal is to use the given keys to make as many of the target numbers as possible within the 3-minute time limit. Some levels include memory keys. | Activity, 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 operations in base ten standards. In this interactive single task students must solve a multi-step problem by finding combinations of vehicles each of which hold a different number of passengers to transport all the students from three classes on their field trip. 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 sample constructed response problem for grade 3-5 students provides an opportunity to analyze patterns and develop algebraic thinking in the context of a telephone chain. It includes suggestions for adjusting the challenge level and a task-specific rubric with annotated samples of student work at each level. Free registration allows users to download a 9-page print-friendly version (pdf). | Assessment, Activity Grade Level: 3, 4, 5 Resource is part of a PD collection |