# Curriculum for Grade 5

## Driven by Pedagogy, Supported by Technology (and not vice versa),

Happy Numbers will make your math centers deliver results.

### MODULE 1. Place Value and Decimal Fractions

Relying on solid understanding of the place value chart and powers of ten, students multiply and divide to solve problems with a decimal number as a factor or quotient.

A. Divide by 10 on a place value chart to move from thousands to thousandthsB. Multiply a decimal number by 10, 100, or 1,000 using a place value chartC. Multiply a decimal number by 10, 100, or 1,000 (Part 1)D. Multiply a decimal number by 10, 100, or 1,000 (Part 2)E. Divide a whole number by 10, 100, or 1,000 to get a decimal number using a place value chartF. Divide a whole number by 10, 100, or 1,000 to get a decimal number (Part 1)G. Divide a whole number by 10, 100, or 1,000 to get a decimal number (Part 2)H. Represent repeated multiplication of 10 as 10 with an exponentI. Represent 10 with an exponent as repeated multiplicationJ. Multiply a decimal number by 10 with an exponentK. Divide a whole number by 10 with an exponent

Students use familiar symbols (<, =, >) to compare numbers to the thousandths place. They identify, compose, and arrange numbers of equal and unequal length.

A. Record a decimal number in expanded notationB. Use <, =, and < to compare numbers to several decimal placesC. Compare numbers to several decimal placesD. Arrange decimal numbers in order from smallest to greatest (Level 1)E. Arrange decimal numbers in order from smallest to greatest (Level 2)F. Arrange decimal numbers in order from smallest to greatest (Level 3)

Using a number line to provide context, students first determine the midway point between two decimal numbers. They then progress to rounding using the number line and the midway point. Finally, students round decimal numbers to any given place value without use of the number line.

A. Determine the midway point between two decimal numbers to the tenths placeB. Round a number to a given place value using a number line and a midway pointC. Round a number to the hundredths place value using a number line and a midway pointD. Round a number to a given place valueE. Round a number to various given place values