Operations and Algebraic Thinking

Represent and solve problems involving multiplication and division.

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Resource | Resource Type Grade Level | Rating |
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This FAQ from the Teacher2Teacher service at The Math Forum @ Drexel contains many suggestions for learning multiplication facts. It includes ideas contributed by T2T Associates and teacher participants. There are links to Ask Dr. Math resources, children's literature connections, and outside websites with related recources. | Instructional Strategy, Reference Materials, Community Grade Level: 2, 3, 4, 5 Resource is part of a PD collection | |

This document provides descriptions and examples of what each Mathematics Common Core standard means a Grade Three 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: 3 | |

This interactive Flash game develops the skills of finding missing parts of addition, subtraction, multiplication and division equations with systematic practice. Players can choose the operation, the strategy and the level of difficulty. Each game has 5 problems. The objective is to solve them as quickly as possible. | Game, Interactive Media Grade Level: 1, 2, 3, 4, 5 | |

In this lesson, students learn about modular arithmetic and how to apply it in real world situations involving remainders. Students are introduced to modular notation (# mod #) and learn how to perform modular arithmetic. Lists of prerequisites, suggested lesson outlines and links to individual activities and to worksheets and discussions are included. | Activity, Interactive Media, Lesson Plans Grade Level: 3, 4, 5 | |

This 7-minute video highlights patterns in the multiplication table and offers strategies for learning multiplication facts. The presenter makes effective use of color on a multiplication grid. | Lecture/Presentation, Video Grade Level: 3, 4, 5 | |

This interactive application helps students to learn visually about numbers from their possible arrangements and how those arrangements relate to division, multiplication, and factors. The web applet divides numbers and displays calculation to show the remainder as a number, fraction, or decimal value and allows demonstration of types of numbers such as prime, square, and triangular. The number explorer has automated tests for divisibility, factor pairs, or prime factors. Three different shapes can be used, the original fish swim around and obediently arrange themselves to show number properties. However balls or cards cards can be used instead, these animate faster and are better for displaying numbers. | Activity, Demonstration, Interactive Media, Video Grade Level: 3, 4, 5 | |

This Flash applet generates number fact questions for the game of Bingo. Each of the six levels focuses on a different range of number facts (addition, subtraction, and multiplication), which are displayed one at a time in a variety of question formats. The applet is intended for use in a class/group setting with a projector or interactive whiteboard. Downloadable cards for each level are available from the menu page. At any time in a game the "number facts so far" feature will reveal all the questions presented in the current round to facilitate review or verification of a winning board. | Activity, Game, Interactive Media Grade Level: 2, 3, 4, 5 | |

This applet demonstrates operations with whole numbers on a number line. The student selects an operation and the applet represents an example. It helps students understand the commutativity of multiplication, remainders in division, inverse operations, and the relationships between operations. | Activity, Interactive Media Grade Level: K, 1, 2, 3 | |

Teachers and students can use this interactive Java applet to model and carry out arithmetic operations on the number line. Users manipulate the size, position, and direction of color bars to represent addition, subtraction, multiplication and division with whole numbers, integers and fractions. Options include the ability to zoom in and out, change the colors of the bars, and adjust the step size of the bars and number line increments. | Activity, Interactive Media Grade Level: 1, 2, 3, 4, 5, 6+ | |

This site provides a detailed instructional plan designed to lead students to explore the number patterns and fractal properties of Pascal's Triangle. Included are links to two interactive activities: "Coloring Multiples" and "Coloring Remainders" each catalogued separately, three guided discussions on" Multiples and Integer Multiplication", "Remainders and Euclidean Division", and "Pascal's Triangle", exploration questions and support material (worksheets). | Activity, Interactive Media, Lesson Plans Grade Level: 3, 4, 5 |