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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) 36 : 30) Apply the problem-solving process to solve real-world problems.

In this activity, students will compute real-world problems with rational numbers while using a digital number line. Students are provided a sample problem to work through to become familiar with the digital number line. Since problems can be solved using multiple methods, students are asked to provide a number sentence to represent their number line model as well as the solution to the problem. Through the online digital tool, students can also share a link to their work with their teacher or classmates. This provides a great opportunity for students to investigate how to solve problems using multiple methods.

Using Number Lines to Model Real-World Problems Student Response Page