ILC 5th Grade Mathematics: Unit 5 Place Value Patterns and Decimal Operations

This is unit 5 of 8 units. The sequence of units is available in the Read Me First Materials in each unit.

• Section A: Numbers to Thousandths
  In this section, students are introduced to the thousandth place. Students will write decimals in expanded form using sums of multiplication expressions. Students will use this developing understanding of place value to the thousandths to locate decimals on a number line. Students wil Then, they use the number line to round, compare, and order decimals.
• Section B: Add and Subtract Decimals
  In this section, students add and subtract decimals to the hundredths place. Initially, students add and subtract in ways that make sense to them. This allows students to relate the addition and subtraction of decimals to operations with whole numbers. Students will also use place value reasoning to estimate the value of sums and differences.
• Section C: Multiply Decimals
  In this section, students multiply decimals with products up to the hundredths place. Students initially multiply decimals in ways that make sense to them. Area diagrams introduced in fraction multiplication in earlier units will be used here as a familiar representation to make sense of decimal multiplication. Students will use the diagrams to relate multiplying with whole numbers to multiplying with decimals.
• Section D: Divide Decimals
  Just as with whole numbers and fractions, students will use the relationship between multiplication and division to make sense of division with decimals. In this section, students will consider how many tenths or hundredths are in whole numbers (that is, 10 tenths are in 1 whole, 100 hundredths are in 1 whole). This understanding will provide a foundation for students to divide a whole number by any amount of tenths or hundredths. Students will learn how to use diagrams to help them solve division problems.