Unit 9 Overview:

In this unit, students have an opportunity to solve problems with fractions and decimals. After much exploration with equivalencies for fractions and decimals, students should be able to compare decimals and fractions. Students continue to apply their understanding of multiplication and properties to multiply fractions by whole numbers and whole numbers by fractions. As students create line plots, they use fractional quantities to solve word problems. These standards are to mastered in this unit.

• Students will apply and extend previous understandings of multiplication to multiply a fraction by a whole number. Understand a fraction a/b as a multiple of 1/b. (NF.B.4a)
• Students will apply and extend previous understandings of multiplication to multiply a fraction by a whole number. Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number. (NF.B.4b)
• Students will apply and extend previous understandings of multiplication to multiply a fraction by a whole number. Solve word problems involving multiplication of a fraction by a whole number, e.g., by using visual fraction models and equations to represent the problem. (NF.B.4c)
• Students will use decimal notation for fractions with denominators 10 or 100. For example, rewrite 0.62 as 62/100; describe a length as 0.62 meters and locate it on a number line. (NF.C.6)
• Students will compare decimals and write in decimal notation for fractions with denominators 10 or 100. (NF.C.7)
• Student will use all four operations to solve word problems involving distances, intervals of time, liquid volumes, masses of objects, and money, including problems involving simple fractions or decimals, and problems that require expressing measurements given in a larger unit in terms of a smaller unit. Represent measurement quantities using diagrams such as number line diagrams that feature a measurement scale. (MD.A.2)
• Students will make a line plot to display a set of measurements in fractions of a unit (1/2, 1/4, 1/8) and solve problems involving addition and subtraction of fractions using information presented in line plots. (MD.B.4)