These are problems involving using fractions to calculate absolute numbers of a group, set, or area, or vice-versa.
Examples: A quilt having 16 sections needs ½ of them to be red – how many squares is that? Or 16 students out of 24 want broccoli on their class pizza – what fraction of the pizza needs to be covered with broccoli?
The problems are varied, the unknowns are in different positions, and the steps are well laid out for students to follow. They follow an “equal fractions” approach:
These are appropriate for students who have learned to find equal fractions, simplify fractions, and have a fairly good grasp of basic multiplication and division. They start with simple problems that can be drawn and colored, and move on to problems with larger denominators.
Common Core Standards:
3.NF.3.b: “Recognize and generate simple equivalent fractions….”
4.NF.1: “Explain why a fraction a/b is equivalent to a fraction (n × a) ÷ (n × b) by using visual fraction models.… Use this principle to recognize and generate equivalent fractions.”
4.NF.3.d: “Solve word problems involving addition and subtraction of fractions…”
Subjects: Math, Fractions, Word Problems, Applied Math
Level: Grades 3-5
Duration: 11 pages of student work, 10 problems with many subproblems, 2-4 days
Answer Key: included
A Smart Notebook 10 file is included. Click on the .zip icon and you can open both the PDF and Notebook files separately.