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**Standard(s): **
[MA2019] REG-7 (7) 4 :

4. Apply and extend knowledge of operations of whole numbers, fractions, and decimals to add, subtract, multiply, and divide rational numbers including integers, signed fractions, and decimals.

a. Identify and explain situations where the sum of opposite quantities is 0 and opposite quantities are defined as additive inverses.

b. Interpret the sum of two or more rational numbers, by using a number line and in real-world contexts.

c. Explain subtraction of rational numbers as addition of additive inverses.

d. Use a number line to demonstrate that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.

e. Extend strategies of multiplication to rational numbers to develop rules for multiplying signed numbers, showing that the properties of the operations are preserved.

f. Divide integers and explain that division by zero is undefined. Interpret the quotient of integers (with a non-zero divisor) as a rational number.

g. Convert a rational number to a decimal using long division, explaining that the decimal form of a rational number terminates or eventually repeats.

[DLIT] (7) 12 : 6) Create and organize algorithms in order to automate a process efficiently.

Example: Set of recipes (algorithms) for preparing a complete meal.

In this introductory activity, students will use two-color counters to explore adding integers. Students will also develop a working definition of the additive inverse. Using online two-color counters, students will discover algorithms for adding integers. Finally, students will develop addition integer rules based on the solutions to the mathematical sentences modeled using the two-color counters.

Adding Integers Using Two-Color Counters Student Response Page