Lesson 6

The purpose of this lesson is for students to apply their understandings about multiplication of a fraction by a whole number to solve problems.

Students may choose to draw diagrams, write equations, or make use of patterns to understand the situations and answer the questions. As students make sense of representations and quantities in context, they practice reasoning quantitatively and abstractly (MP2).

• Write the 5 expressions from the activity on separate posters and post them around the room:

  \(4 \times (2\times \frac{1}{10})\)

  \(4 \times \frac{2}{10}\)

  \(8 \times \frac{1}{10}\)

  \(2 \times (4 \times \frac{1}{10})\)

  \(2 \times \frac{4}{10}\)

What new mathematical connections did you see students make today as they were solving problems about multiplication of fractions? How can those connections be leveraged in upcoming work?