In this Unit...
In this unit, students study skills and concepts related to place value, from reading, writing, and comparing decimals to rounding and examining the decimal patterns of multiplying and dividing numbers by 10. Students use their place value understandings to convert within a measurement system, and they use both whole number strategies and place value understanding to add and subtract decimals to hundredths. Division is the focus of Module 4, in which students model, solve, and pose long division problems.
Module 1 Whole Number & Decimal Place Value
This module focuses on place value, with an emphasis on decimal numbers. Problem strings and games help students develop strategies for adding and subtracting with decimals to the hundredths place. Students also explore patterns for multiplying and dividing by 10. They continue working with place value by reviewing a display from the previous year and extending it to include tenths and hundredths. At the end of the module, students model, read, and compare decimals and consider the connections between decimals, fractions and money amounts.
Module 2 Adding & Subtracting Decimals
Students build on the work they did in the previous module as they deepen their understanding of place value in decimal numbers, equivalencies between decimals, fractions, and money, and adding and subtracting decimals. Three new Work Places help students in each of these areas, and a checkpoint provides information about their understanding of decimal place value. Students also work with models for thousandths and ten thousandths. At the end of the module, students use a metric number line to place, order, and round decimals.
Module 3 Conversions
Students use units of computer memory—bytes, kilobytes, megabytes, and gigabytes—to explore conversions within a given system of measurement, and then extend the strategies they develop to making metric conversions. Students also continue their work adding and subtracting decimals in a vertical format and solving story problems that involve decimal amounts.
Module 4 Division & the Area Model
During this module, students continue to investigate the area model for division, taking up where they left off at the end of Unit 1. They begin by using base ten area pieces to model and solve division problems, but quickly move to using labeled sketches on base ten grid paper. Division will emerge again toward the end of Unit 4, at which point students will move from labeled sketches to more abstract methods of modeling and solving long division problems. At the end of this module, students take the Unit 3 Post-Assessment.