# Unit 3

Students have been working with fractional units since grade one and in fourth grade students learned to add and subtract fractions.

Fifth grade is a big year for fractions. Students extend their understanding of adding and subtracting fractions to include mixed numbers. They also begin to multiply fractions by whole numbers and by other fractions using visual models and connecting this work to their understanding of whole number multiplication and area. A new conceptual understanding is developed when students grapple with dividing a whole number by a larger whole number which leads to an understanding of dividing a whole number by a fraction and a fraction by a whole number.

Geometry connections are made when students interpret multiplication as scaling and compare the size of the product to the size of one of the factors and explain what happens when they multiply by a fraction greater than one.  Students make a connection to measurement when they practice converting customary measurements, which often involve fractions. Students also practice graphing line plots that involve fractional units.

Fractions are one of the main topics for fifth grade and a great deal of time is spent ensuring that students understand fractions on a conceptual level as well as a procedural understanding of fraction operations.

This unit will address the Common Core State Standards (CCSS) 5.NF.1-7 and supports 5.MD.1 and 5.MD.2.

Students will be able to:

• fluently add and subtract fractions and mixed numbers
• understand how division of whole numbers leads to fractions
• fluently divide a whole number by a unit fraction and a unit fraction by a whole number
• fluently multiply fractions by whole numbers, fractions, and mixed numbers
• understand what happens when you scale quantities
• use a double number line to convert customary measurements