Students’ preparation for this unit is also connected to their extensive pattern work, beginning in Kindergarten with patterns in counting sequences (K.CC.4c) and extending through 4th grade work with generating and analyzing a number or shape pattern given its rule (4.OA.3). Then, in 4th Grade Math, students learned to add, subtract, and multiply fractions in simple cases using the number line as a representation, and they extended it to all cases, including in simple cases involving fraction division, throughout 5th grade (5.NF.1-7). For example, two fractions that were at the same point on a number line were equivalent, while a fraction that was further from 0 than another was greater. Then in 3rd Grade Math, students made number lines with fractional intervals, using them to understand the idea of equivalence and comparison of fractions, again connecting this to the idea of distance (3.NF.2). Students were introduced to number lines with whole-number intervals in 2nd grade and used them to solve addition and subtraction problems, helping to make the connection between quantity and distance (2.MD.5-6). Students have coordinated numbers and distance before, namely with number lines. In Unit 7, the final unit of the 5th grade course, students are introduced to the coordinate plane and use it to represent the location of objects in space, as well as to represent patterns and real-world situations.
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