In this section, students make sense of adding and subtracting signed numbers. They begin by considering how changes in temperature and elevation can be represented with tables, number line diagrams, expressions, and equations. Then they use these examples to generalize rules for adding signed numbers. They apply the rules to signed numbers that represent money contexts, including deposits, withdrawals, and...

In this section, students make sense of multiplying and dividing signed numbers. They begin by exploring constant velocity. This builds on their previous work with constant speed but uses signed numbers to represent positions and movement in opposite directions from a reference point. Students calculate the resulting position for a given velocity and time. Then they use these examples to...

In this final section, students have the opportunity to apply their thinking from throughout the unit. As this is a short section followed by an End-of-Unit Assessment, there are no section goals or checkpoint questions.

In this section, students solve problems involving the four operations with rational numbers. First, they evaluate algebraic expressions involving signed numbers. They extend their understanding of algebraic notation to include negative numbers, by using “next to” notation (that is, numbers or variables placed next to each other, either with or without parentheses) to represent multiplication and the fraction bar to...