##
* *Reflection: Student Grouping
What is a Set? - Section 3: Group Work

I provide many opportunities for group work in my classroom. I ensure that students have opportunities to discuss the problems at hand and learn from one another. I am very intentional about creating groups, although it may appear random. I ensure that students who are struggling or have difficulty in math are grouped with students of higher ability levels so that all students are able to develop meaning and understanding of the concept. Group has the potential to turn into 'play time' or time off-task, so it is important to set clear expectations for group work early and often.

Some reference on group work:

Characteristic 7.2: Variety of Learning Experiences

Characteristic:

Various learning experiences are provided that are appropriate for the range of learners in the classroom (i.e., differentiation by content, process, and/or product).

Indicators:

Students engage in appropriate activities in terms of complexity and pacing for their current level of understanding and skill, but which challenge them to move forward.

Students are given opportunities to relate their personal and academic interests to their learning of mathematics.

Mathematics is presented to students in ways that are responsive to individual learning styles and ways of knowing.

Multiple representations are used to provide access to content for English Language

Learners (e.g., communication through movement, gestures, visuals, music).

*Benefits of Group Work*

*Student Grouping: Benefits of Group Work*

# What is a Set?

Lesson 6 of 10

## Objective: SWBAT use fractions to describe a set of objects.

#### Warm-Up

*5 min*

*We have been working on fractions, but I know it’s Monday and I want to make sure what we have learned is fresh in our minds! Who can help me complete the board to review what we know? *

Here we discuss what we know about fractions and focus on key vocabulary. We discuss that fractions show us parts of a whole and we use the vocabulary part, whole, numerator and denominator in context. I want students to be familiar with the terms we use in fractions and to understand what they represent.

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#### Group Practice

*10 min*

*You know how to write a fraction to describe part of a whole. Today we will be digging deeper into learning about using fractions to describe a set.*

Invite 5 students to come to the front of the room. *These five students form a set. How many parts does this set have? (5) (hold up 5 fingers) What is the name for each part? (Fifth) (have students repeat this with you. *

I use additional, contextual, questions to practice setting up problems correctly and understanding what it means to have parts of a set (our class) (MP4).

What fraction of students is wearing sandals?

Black shoes?

Repeat the activity a few times while asking students which is the part? Whole? Which is the numerator? Denominator? I want to reinforce the language of fractions and allow students to practice hearing it and saying it.

#### Resources

*expand content*

#### Group Work

*30 min*

*I have this bag full of blue and yellow counters, and I’m wondering how many ways I can show what I have. Let me show you what I mean.*

I have white paper folded into a 4 square and I take out, and show students, eight counters. Five are yellow and three are blue. *What is this group called? (A set.) And what fraction of my counters are showing blue? What is my numerator? And my denominator? Which is the part? Which is the whole? And what about what it should look like in case someone wasn’t here and wasn’t sure how we can draw out our fractions? *

Students work at their tables to create as many fractions of their set of counters as they can think of and record by writing a fraction, labeling or illustrating (MP1). For students who finish, I have bags full of manipulatives that they can classify and describe using fractions. I want student to have an extended opportunity to recognize that not all sets of objects have the same amount (or denominator) and there is not just one correct way to find fractions within sets (MP5).

*expand content*

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- UNIT 1: Crazy About Fractions
- UNIT 2: Sharing Equally with Division
- UNIT 3: The Relationship Between Multiplication and Division
- UNIT 4: Number Lines
- UNIT 5: Multiply or Divide with Word Problems
- UNIT 6: Telling Time
- UNIT 7: Problem Solving
- UNIT 8: 2-Digit by 1-Digit Multiplication
- UNIT 9: Measurement and Data
- UNIT 10: Math in the Real World
- UNIT 11: More Problem Solving Practice
- UNIT 12: Addition & Subtraction
- UNIT 13: 3rd Grade Expectations
- UNIT 14: Geometry
- UNIT 15: Surveys and Graphing
- UNIT 16: Fun with Multiplying and Dividing

- LESSON 1: What is a Fraction?
- LESSON 2: Digging Into Fractions
- LESSON 3: Parts of a Set
- LESSON 4: Comparing Fractions
- LESSON 5: What's in the Set?
- LESSON 6: What is a Set?
- LESSON 7: Teach Me About Fractions
- LESSON 8: Are My Fractions Equivalent?
- LESSON 9: Comparing Fractions with Models
- LESSON 10: Fraction Match-Up