Operations and Algebraic Thinking

Work with addition and subtraction equations.

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Resource | Resource Type Grade Level | Rating |
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In this 6-lesson unit students use pasta shapes to explore the take away model of subtraction in several different contexts (counting, sets, number line, balanced equations, and inverse of addition). They decompose numbers, explore the zero property, act out subtraction situations with objects and pictures, record differences with vertical and in horizontal notation, create fact families, find differences with a calculator, and compose and solve problems involving subtraction. The lessons include student activity sheets (pdf), questions for student discussion and teacher reflection, assessment options, and links to online applets. | Activity, Game, Lesson Plans, Unit of Instruction Grade Level: K, 1, 2 | |

In this lesson students find and record addends that sum to ten in three different activities, using ten frames, linking cubes, two-sided counters, and a concentration game. The lesson includes suggestions for assessment and extension, reflection questions for students and teachers, links to related resources, and printable materials (pdf). | Activity, Game, Interactive Media, Lesson Plans Grade Level: K, 1, 2 | |

This document provides descriptions and examples of what each Mathematics Common Core standard means a Grade One 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: 1 | |

This 3-page document (pdf) offers numerous strategies that children can use to perform addition, subtraction, and multiplication mentally. These strategies help develop fact fluency, number sense, operation sense, and use of patterns. | Instructional Strategy Grade Level: K, 1, 2, 3, 4 Resource is part of a PD collection | |

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 | |

This open-ended interactive Flash applet helps students develop operation and number sense, facility with number facts, and understanding of equations. Users designate single-digit whole numbers or integers and operations on both sides of an equation and test for balance. Users can enter numbers by using the keyboard or arrow buttons or by dragging number tiles. Each element can be hidden and a seesaw may be toggled on/off. Teachers may use this applet to lead instruction, or students may use it independently to perform specific investigations or explore freely. Supplementary documents include Objectives, containing teaching suggestions, and a student recording sheet. | Activity, Interactive Media Grade Level: 1, 2, 3, 4, 5, 6+ | |

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 | |

This interactive applet contains four puzzles which develop fluency with addition facts and foster logical reasoning. Each puzzle provides a shape with blanks along its sides and diagonals. The user must fill in the blanks with the numbers provided to reach the same target sum along each side/diagonal. | Activity, Game, Interactive Media Grade Level: 1, 2, 3, 4, 5 | |

This interactive game reinforces the importance of the order of operations within equations. Players enter the three numbers on the rocks in the correct box to make a true closed equation. A check answer button provides feedback and there are three levels of difficulty to provide challenge at the student's skill level. | Game, Interactive Media Grade Level: 1, 2, 3, 4, 5 |