Work in this section expands students’ understanding of the number system to include both positive and negative numbers. Students begin by examining situations involving temperature and elevation to understand the need for numbers less than 0. They work with both vertical and horizontal number lines to represent positive and negative values, observing the symmetry present in the number line. Students...

In this final section, students have the opportunity to apply their thinking from throughout the unit. The lesson in this section is optional because it offers additional opportunities to practice standards that are not a focus of the grade. 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 expand on their knowledge of factors and multiples and use the greatest common factor and the least common multiple of two whole numbers to solve problems. Students begin by finding factors of numbers in the context of splitting items up into groups. They relate the greatest common factor as the largest number of groups that can...

Work in this section introduces students to writing inequalities and representing solutions to inequalities on a number line. Students must consider reasonable solutions for situations in context. For each situation, they consider possible minimum and maximum values, whether boundary values should be included, whether negative numbers make sense, and whether solutions are discrete or continuous. They compare the different ways...

In this section, students explore ways to represent pairs of numbers that include negative values. They do so by extending the horizontal axis to the left of and the vertical axis below and plotting ordered pairs in all four quadrants of the coordinate plane. They reason about how to appropriately scale and label a set of axes in order to...