These activities start with an introduction to paper folding as a way of modeling multiplication of fractions: “What is one half of one third?” They end with several pages of problems which challenge students to identify the operation: multiplication, or division? Is it “What is three fourths of 12?”, or “How many three-fourths fit into 12?”
There’s a variety of problems and problem types in between, including all four operations in different combinations. A few of them are about two natural subjects for fractional problem situations – pizzas and gardens – but there are many others.
There are detailed teaching notes that cover every section of problems in the collection, and discussion of just what multiplication of fractions by fractions and whole numbers, and division with fractional divisors, means.
Common Core Standards:
4.NF.4.c: “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.”
5.NF.6: “Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem.
5.NF.7: ”Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.”
5.NF.7.c: ”Solve real-world problems involving... division of whole numbers by unit fractions...”
Length/Duration: 22 pages of student work, 4-5 days
Detailed teaching notes and a Smart Notebook 10 file is also included.