This unit expands students' repertoire of fractions, decimals, and percents to include multiples of: 10% or 1/10, 1% or 1/100, 1/8, and 1/3 while maintaining the focus on fractions as representations of part/whole relationships and as models of the portion of an amount.
Students hone their rational number mental math skills as they puzzle over situations involving:
- Newspaper statistics
- Space allocations
- Material purchases
- Nutrition labels
The emphasis on mental math strategies allows students to reason about ways to combine and break apart amounts. For instance, they can regard 42% as the combination of four 10% amounts and two 1% amounts, or reason about 3/8 as 1/2 (50%) less 1/8 (12.5%), arriving at 37.5%.
Continued use of diagrams, manipulatives, and other visual models works to support reasoning. Students:
- Determine portions and determine the whole given a part
- Calculate the percent of increase or decrease of whole numbers
- Compare fraction, decimal, and percent amounts to benchmarks
- Consider which form—fraction, decimal, or percent—seems best to use when solving problems
In Split It Up, students learn these skills in ways that continue to serve them well in the world beyond the classroom. They come to rely on reasoning, not memorization, when solving mathematical problems that involve fractions, decimals, and percents.
The Teacher Book is an essential component of the EMPower program. It is designed to be used in conjunction with the Student Book. The Teacher Book includes:
- Suggestions for facilitating class discussions
- Open-ended questions designed to keep the math on track
- Math Background sections to help teachers deepen their understanding of a concept
- Lesson in Action sections with examples of student work and comments that illuminate the underlying mathematics
- Examples from the authors' and pilot teachers' classroom experiences