## Instructor Overview

Students discuss as a class the important ways that listeners contribute to mathematical discussions during Ways of Thinking presentations. Students then use the properties of operations to find the value of each fruit used in equations.

# Key Concepts

Students use the properties of operations to find the value of each fruit used in different equations. By considering several equations, students can match each of the 10 fruits to the whole numbers 0 through 9. This work helps students see why representing unknown numbers with letters is useful.

# Goals and Learning Objectives

- Contribute as listeners during the Ways of Thinking discussion.
- Identify the whole numbers that make an equation true.
- Use the properties of operations, when appropriate, to justify which whole numbers represent unknown values.

on Jan 16, 09:22pm Evaluation

## Opportunities for Deeper Learning: Superior (3)

This activity provides space for students to create arguments and test the validity of statements. They can argue their validity based on how each equation fits into the whole set of equations.

on Jan 16, 09:22pm Evaluation

## Quality of Instructional and Practice Exercises: Superior (3)

There are many equations in which students can test the validity of their statements, though all equations are connected to one another. For example, determining the value for the fruits for one equation directly affects all other equations. Students may have to return to earlier equations they thought they had solved and modify their answer. Thus, there is a lot more work for students to do than first appears.

on Jan 16, 09:22pm Evaluation

## Quality of Assessments: Superior (3)

This activity allows students to develop their proficiency after the opening by applying what they learned about identity properties and then using them in a set of equations.

on Jan 16, 09:22pm Evaluation

## Utility of Materials Designed to Support Teaching: Superior (3)

All of the materials used are easy to understanding and provide adequate support for the teacher.

on Jan 16, 09:22pm Evaluation

## Quality of Explanation of the Subject Matter: Superior (3)

The subject matter is very thorough, providing a step-by-step process for the activity.