Developing+Concepts+of+Exponents,+Integers,+and+Real+Numbers

= Online Resources = **Color Chips – Addition (NLVM)** Use color chips to illustrate addition of integers. **Color Chips – Subtraction (NLVM)** Use color chips to illustrate subtraction of integers. **The Evolution of the Real Numbers** This is an interesting description of many topics related to the real number system. Although mostly text, the pages are filled with interactive questions. **Exponential Growth (Otherwise)** If a population has a constant birth rate through time and is never limited by food or disease, it has what is known as exponential growth. Click the button to run the applet to simulate exponential growth of fish. **Integer Arithmetic (eNLVM)** This investigation uses number lines, color chips, and a variety of scenarios to help students understand what an integer is and how to do signed addition, subtraction and multiplication. **National Library of Virtual Manipulatives (NLVM)** Among the many applets on this site are “Color Chips—Addition,” “Color Chips Subtraction,” “Rectangle Multiplication of Integers,” and “Integer Arithmetic.” These applets focus on using models for integer computation. **The Next Billion (NCTM)** In 1999 the world population passed 6 billion. In this lesson, students predict when it will reach 7 billion. Students discuss their predictions, past trends in population growth, and social factors—a good interdisciplinary opportunity. **Rectangle Multiplication of Integers (NLVM)** Practice multiplying integers using an area model. **Tic-Tac-Go Negative Numbers (Freudenthal Institute)** In this game, students pick addition, subtraction, or multiplication and find the equation to match an answer, trying to get three in a row. **Volt Meter (NCTM)** Click and drag batteries with negative and positive voltage to explore integer addition and subtraction.

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