# Lesson 10

Interpret Relationships

### Lesson Purpose

The purpose of this lesson is for students to generate patterns based on two given rules and then identify and explain more complex relationships.

### Lesson Narrative

In this lesson students continue to generate two patterns and observe relationships between their corresponding terms. Most of the relationships are more complex in this lesson, involving either multiplication by a fractional amount or both multiplication and addition or subtraction. Students begin to express the relationships between patterns using equations (MP2).

• Representation

### Learning Goals

Teacher Facing

• Given rules, generate two numerical patterns. Identify and explain more complex relationships between corresponding terms.

### Student Facing

• Let’s find relationships between patterns.

Building Towards

### Lesson Timeline

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

### Teacher Reflection Questions

How effective were your questions in supporting students’ thinking today? What did students say or do that showed they were effective?

### Suggested Centers

• Can You Draw It? (1–5), Stage 7: Grade 5 Shapes (Addressing)
• Picture Books (K–5), Stage 3: Find Shapes (Addressing)
• Can You Draw It? (1–5), Stage 4: Area and Perimeter (Supporting)