##
* *Reflection: Intervention and Extension
Introduction to Parts of a Whole - Section 3: Independent Practice

In my teaching career, I have often focused most of my time and energy on students who struggle to understand mathematical concepts, working to find ways to concretely model for these students or providing modifications and accommodations so that these students can be successful. Recently, I have been working to try to provide the same level of support and planning for my higher achieving students. One strategy that has worked well for me is giving higher achieving students a challenge worksheet or challenge task to finish when they are done with other work. These challenges generally push student thinking beyond the day's objective and engage students in problem solving on problem types that are more challenging than those done during class time. My students generally embrace these challenges and are able to work together to problem solve and reason through these tasks and worksheets. Giving students this extension work also gives me more time to work with students who are in need of intervention and/or remediation since the challenge work is usually independent.

*Use of challenge worksheets*

*Intervention and Extension: Use of challenge worksheets*

# Introduction to Parts of a Whole

Lesson 8 of 8

## Objective: SWBAT explain fraction names and notation through an understanding of parts of a whole.

#### Introduction to New Material

*10 min*

I start class by laying out a fraction circle divided into fourths on the carpet or underneath the document camera (if you do not have access to fraction circles, you can simply draw a circle and cut it into fourths).

*How many pieces have we divided this circle into?*

Students will easily identify that the circle has been divided into four pieces.

*What do we call it when we divide a whole into four pieces?*

Some students may remember that we call this fourths. If not, it's a good vocabulary reminder.

*Now, we know that this circle is a whole. None of it has been taken away. We have one full circle here. Let's imagine that this is a pie. I eat one fourth of the pie. *

I take one fourth of the pie away.

*How much do I have left? Turn to your partner and explain how many pieces I have left. *

As students share, I circulate to listen to student conversation.

When finished, I ask two or three students to share. Some students might say "you have three pieces left" or "three of the four pieces are left".

*Before I took this one piece away the pie had four pieces--I had evenly divided it into fourths. When we talk about wholes and parts of wholes we use the language ______ out of _______. *

*So, when we took one away from this pie, we had three pieces left. We had three out of four pieces left. We can also call this three fourths or 3/4. *

As I say these terms, I write them on the board so that students will have a visual.

*Let's look at another example to practice this way of talking about parts of a whole. *

I set a fraction circle of thirds on the carpet or underneath the document camera.

*Let's say that I divide this pie into three pieces. ________ comes and eats one piece. How many pieces do I have left? Turn to your partner and share using the ** the same language we used before. *

I allow students to share for 1-2 minutes. When I am finished, I cold call a student or partner to share his/her idea.

If students are struggling I ask them the following questions:

How many pieces did I have to begin with?

How many pieces did I take away?

How can we use the same terms that we used to talk about the first pie? (_____ out of _____)

#### Resources

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#### Guided Practice

*10 min*

During guided practice I divide students into groups of two or three. I give each group a large piece of chart paper or construction paper with a circle drawn on it and tell them to divide it into fifths using a pencil. (They are allowed to trace over in marker once they have divided the circle correctly) I allow students 2-3 minutes to divide their circle. I then tell them to shade in two parts of their circle using a marker or a pencil.

I allow students two or three minutes to work. Then, I have students discuss in their groups what part of the shape they have shaded using the language we used during the independent practice. I ask them to write the fraction underneath their circle.

When finished, I have each group of students hold their poster in the air so that I can see it. I ask two groups to share their work explaining how they divided their circle and how they determined what fraction was shaded.

#### Resources

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#### Independent Practice

*10 min*

During the independent practice, I divide students into groups of two or three. Students work together to divide circles and squares into equal pieces and then to take one piece away and determine how many they have left.

If student understanding was shaky during the guided practice, I model the first guided practice problem (or have a student model the first guided practice problem) before releasing students to work.

During the independent practice, I walk around and listen to student conversation stopping to help correct any misunderstandings or work with groups who are struggling with any part of the problem.

I give students who have shown clear mastery of this subject during the introduction to new material and guided practice an extra "challenge" worksheet to complete during independent practice as well. I determine which students to give this extra work to based on whether they had any difficulty during the earlier sections of the lesson.

*expand content*

#### Closing

*5 min*

After the majority of the students have finished their work, I bring the students back together and using my document camera or the board, go over the problems with them, having students explain their thinking for each part of the problem.

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##### Similar Lessons

Environment: Suburban

- LESSON 1: Partitioning Rectangles and Squares
- LESSON 2: How Many Brownies Do I Have? : Partitioning Rectangles into Columns and Rows
- LESSON 3: Partitioning squares to create triangles
- LESSON 4: Partitioning Squares to create rectangles
- LESSON 5: Equal Parts
- LESSON 6: Partitioning Rectangles Review and Assessment
- LESSON 7: Partitioning Circles
- LESSON 8: Introduction to Parts of a Whole