This is a lesson plan created to assist in teaching integers and absolute value. Here is an overview of this lesson: (1) Hook: number line game to introduce absolute value.. (2) Teach: student notes, practice, and video to build knowledge. (3) Apply/Assess: game using a deck a cards per partnership with teach observation. Absolute Value of Integers © 2022 by Laura Zwahlen is licensed under CC BY-NC-SA 4.0
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).
This article is an account of how negative numbers became part of the "vocabulary" of mathematicians and of some of the earliest appearances of negative numbers in calculations of the ancient civilizations of China, India and Greece. Although negative numbers were used in calculations, negative answers to mathematical problems were considered meaningless or impossible. The troubled history of negative numbers presented in this article shows how the simple mathematical principles taken for granted today have taken thousands of years to develop.
This lesson discusses how to identify sets of numbers as natural numbers, whole numbers, integers, rational numbers, irrational numbers, and real numbers.
This activity promotes students to explore and analyze the number of different ways of achieving each of the specific outcomes when adding and subtracting positive and negative integers while playing the game, "Connect Three." By answering key questions, the players work out a strategy for improving their chances of winning the game. The Teachers' Notes page offers suggestions for implementation, discussion questions, ideas for support, extension and answers to questions are provided. A pdf of the game board and a spreadsheet to simulate tossing the dice are linked.
This article is devoted to the mathematical topic of negative numbers and provides a series of primary resources designed to familiarize children with the notion of counting on either side of a central point. The article presents that the activities listed should be played sequentially to build precursory ideas in understanding negative numbers. All the games discussed in the article are linked on the page and have been cataloged separately: Incy Wincy Spider, Tug of War, Swimming Pool, Tug Harder, First Connect Three and lastly Sea Level.
This problem provides an opportunity to increase familiarity with negative and positive numbers on a number line. The vertical number line is presented as black markings every one meter all the way up a lighthouse and on the underwater support going down to the sea bed, with sea level being "0". In answering the nine questions, children begin to calculate with negative numbers in the context of the distances between the sea creatures. The Teachers' Notes page offers suggestions for implementation, discussion questions, ideas for extension and support, and a link to a related resource, Swimming Pool (cataloged separately).
This problem provides an opportunity for introducing and raising children's awareness of negative numbers. The first part of the problem is moving up and down a ladder or steps into a swimming pool. Students are counting along a number line, but in this case it is vertical rather than the more usual horizontal orientation. The final part of the activity encourages children to be creative and invent their own way of numbering the steps below the water level. The Teachers' Notes page offers suggestions for implementation and discussion as well as ideas for extension and support.
This Flash-based game of chance helps children learn about the relationship between the positive and negative integers. Two players, one Positive, moving left to right, and one Negative, moving right to left, take turns rolling and adding two dice and moving a counter in their respective directions on the number line, with the goal of reaching their end of the number line (13 or -13). The game can be played with the applet or on paper (printable pdf included). A variation involving the choice of adding, subtracting, multiplying or dividing the two dice introduces strategic thinking. The Teacher' Notes page suggests strategies for introducing the game, questions to facilitate students' thinking, and a link to a simpler version of the game, Tug of War, cataloged separately.