Lesson 6

Problems with Equal Groups of Fractions

Lesson Purpose

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

Lesson Narrative

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).

• Engagement
• MLR7

Learning Goals

Teacher Facing

• Represent and solve problems involving multiplication of a fraction by a whole number.

Student Facing

• Let’s solve problems with fractions.

Required Materials

Materials to Gather

Required Preparation

Activity 2:

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

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

$$4 \times \frac{2}{10}$$

$$8 \times \frac{1}{10}$$

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

$$2 \times \frac{4}{10}$$

Lesson Timeline

 Warm-up 10 min Activity 1 15 min Activity 2 20 min Lesson Synthesis 10 min Cool-down 5 min

Teacher Reflection Questions

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?

Suggested Centers

• Rolling for Fractions (3–5), Stage 2: Multiply a Fraction by a Whole Number (Addressing)
• Estimate and Measure (1–4), Stage 3: Quarter Inches (Supporting)
• Target Measurements (2–5), Stage 2: Quarter Inches (Supporting)