Operations and Algebraic Thinking

Write and interpret numerical expressions.

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This lesson plan provides the teacher with an activity for introducing the game Krypto, which helps to develop number sense, computational skill, and an understanding of the order of operations. Players are given five number cards. They combine them, using the standard arithmetic operations, to create a target number. As students investigate the game, they develop strategies for finding solutions efficiently. The plan includes learning objectives, materials needed, questions to ask students, assessment options, extensions, teacher self-reflection questions, and a link to the online version, Primary Krypto, (catalogued separately). | Activity, Game, Lesson Plans Grade Level: 3, 4, 5, 6+ | |

This interactive game promotes understanding of the order of operations through practice. The challenge is to pick operators, as quickly as possible so each expression equals the target number in red. Levels of difficulty are determined by the number of numbers in the expression, the number/type of operators and whether or not parentheses are included. | Game, Interactive Media Grade Level: 3, 4, 5 | |

This interactive Flash game provides an opportunity for a player to make decisions and develop strategic thinking by analyzing the uncovered number choices on a game board that includes the integers from -5 to 12. Each player rolls the dice, chooses which number to begin with and whether to add or subtract the other number to produce either a negative or positive result shown on the board. The goal is to be first player to complete a row of three counters either horizontally, vertically or diagonally on the game board. The Teachers' Notes page offers suggestions for implementation, discussion questions, ideas for support, printable instructions and game board, and a link to a more advanced version of the game (Connect Three, cataloged separately). | Activity, Game, Interactive Media Grade Level: 4, 5, 6+ | |

This interactive flash applet supports student development of the concept of functions through the use of an input/output or function table. Students select from among three activities: "What is the Output?”, "What is the Input?" and "Find the Function!" For each activity, the user clicks on the empty box and fills in the missing answer. Feedback is provided with a check answer button and if the response is incorrect, a hint is displayed to help when the student tries again. | Activity, Interactive Media Grade Level: 3, 4, 5 | |

This interactive Java learning tool allows a teacher to demonstrate and explore with students multiple equivalent expressions for two growing patterns: tiling around an n by n pool, or four arms of length x growing out from a central unit. Sliders provide selection choices among the five different solutions which correspond to different color-coded patterns. Check boxes provide options for displaying the expressions in terms of n (0-4), and an explanation for each expression. | Demonstration, Interactive Media Grade Level: 4, 5, 6+ | |

This card game provides practice in saying and writing the function rule, given an input/output table. One student has the rule which the other student has to guess. The guesser records an input number in the table and the rule person must apply the rule and tell the output number. Student pairs repeat this until the guesser correctly identifies the rule by saying and writing it. Students then switch places and repeat the activity. There are three different levels of rules for play: simple addition & subtraction, multiplication or two-step rules. | Game Grade Level: 4, 5 | |

This interactive Java learning tool, which was constructed using the cross-platform open educational resource GeoGebra, allows a teacher to demonstrate and explore addition and subtraction of integers from -10 to 10 with a number line model with students. Users can change the values of the first and second term using sliders. Another option models subtraction of the first term, for example, - (-4) + (-5). Check boxes allow users to show each expression, model, and answer individually. | Activity, Interactive Media Grade Level: 5, 6+ | |

This mathematics task is an example of how students might engage in the Mathematical Practice Standards through a problem solving task. Included in this resource are the targeted standards, teacher reflection questions, a mathematical overview, and student materials. | Activity, Lesson Plans Grade Level: 4, 5, 6+ | |

This blog entry from the AIMS Puzzle Corner presents an activity that challenges students to find the reasoning or rule behind the pricing for wooden letters when given a number of examples. The learners are then asked to apply it to a new name and their own last names. Included on the page is a link to information about Martin Gardener, a leader in recreational math. | Activity, Community Grade Level: 5, 6+ | |

This document provides descriptions and examples of what each Mathematics Common Core standard means a Grade Five 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: 5 |