The purpose of this lesson is for students to reason about the value of the product of a whole number and a fraction greater than 1 and use the properties of operations to find the product.
In previous lessons, students represented the decomposition of a rectangle with diagrams, expressions, and equations and found the product of a whole number and a fraction.
In this optional lesson, students will practice multiplying fractions by using their understanding of the properties of operations. This time, they will not be provided with a diagram to represent each product. They will also apply what they have learned about multiplying fractions to reason about the proximity of fractional areas to whole number areas.
- Use estimation and the properties of operations to reason about the product of a whole number and a fraction greater than 1.
- Let’s estimate products of a whole number and a fraction.
Teacher Reflection Questions
What evidence did you see in today’s lesson that your students are extending their understanding of multiplication?
- Rectangle Rumble (3–5), Stage 4: Whole Number and Fraction Factors (Addressing)
- Can You Build It? (3–5), Stage 2: Multiple Rectangles (Supporting)