Math: Unit 4

Grade 5

Teaching Guide Unit 4

Addition and Subtraction of Fractions

Pacing 4 weeks plus 1 week for reinforcing/enriching

All unit standards are interrelated. Standards should not be taught in isolation. See explanations and examples of standards at the end of this document.

• 5.NF.1. Add and subtract fractions with unlike denominators (including mixed numbers) by replacing given fractions with equivalent fractions in such a way as to produce an equivalent sum or difference of fractions with like denominators. For example, 2/3 + 5/4 = 8/12 + 15/12 = 23/12. ( In general, a/b + c/d = (ad+bc)/bd find and interpret the difference in length between the longest and shortest specimens in an insect collection

• 5.NF.2. Solve word problems involving addition and subtraction of fractions referring to the same whole, including cases of unlike denominators, e.g., by using visual fraction models or equations to represent the problem. Use benchmark fractions and number sense of fractions to estimate mentally and assess the reasonableness of answers. For example, recognize an incorrect result 2/5 + 1/2 = 3/7.by observing that 3/7< 1/2.

• 5.MD.2. Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4. 1/8). Use operations of fractions for this grade to solve problems involving informaion presented in line plots. For example, given different measurements of liquid in identical beakers, find the amount of liquid each beaker would contain if the total amount in all the beakers were distributed equally.

Students Outcomes:

At the end of this unit students should be able to...

• Use benchmark fractions to reason and estimate solutions for problems.

• Add and subtract fractions with like an unlike denominators (including mixed numbers).

• Solve word problems with addition and subtraction of fractions.

• make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8).

• Solve problems with information in a line plot.

• Write the answer in simplest form using common multiples of factors