Guess the Missing Equal Share(s) With Circles and Rectangles

Learning Resource Type

Learning Activity

Subject Area

Mathematics

Grade(s)

2

Overview

In this activity, the teacher will use the video, "Partition a Circle Into Two, Three, or Four Equal Shares," to discuss misunderstandings/misconceptions when identifying equal shares(s). The teacher will use the Google Slide presentation, "Name the Missing Equal Shares With Circles and Rectangles," to review what students know and to find the missing equal shares of circles and rectangles. The students will complete to Google Doc assignment, "This shape is Partitioned Into," to show their learning of the new concept.

This resource was created in partnership with Dothan City Schools.

Phase

After/Explain/Elaborate
Mathematics (2019) Grade(s): 2

MA19.2.27

Partition circles and rectangles into two, three, or four equal shares. Describe the shares using such terms as halves, thirds, half of, or a third of, and describe the whole as two halves, three thirds, or four fourths.

UP:MA19.2.27

Vocabulary

  • Partition

Knowledge

Students know:
  • strategies for partitioning shapes into two, three, or four equal shares and reason about these shares.

Skills

Students are able to:
  • decompose circles and rectangles into halves, thirds, and fourths.
  • communicate the size of pieces using the appropriate fraction terminology.
  • recognize that equal shares may be different shapes within the same whole.

Understanding

Students understand that:
  • shapes can be equally partitioned into halves, thirds, and fourths.

Learning Objectives

The students will partition circles and rectangles into two, three, and four equal shares and apply the terms halves, thirds, and fourths to describe the whole.

Activity Details

1. The teacher will introduce students to the video, "Partition a Circle Into Two, Three, or Four Equal Shares," as a reminder of what they have learned about partitioning circles and rectangles into halves, thirds, and fourths. The teacher will use this video to discuss a common misunderstanding students may have about partitioning. (Partitioning does not always mean equal shares.) 

2. The teacher will use the Google Slides presentation, "Name the Missing Equal Shares With Circles and Rectangles," to engage students' discussion on misunderstandings and misconceptions. The teacher will use the presentation to explain how many missing equal shares are missing based on how many equal shares it takes to make a whole circle or rectangle.  

3. The teacher will give each student the Google Slide, "This shape Is Partitioned Into," assignment to complete to demonstrate their understanding of missing equal shares.

4. The teacher will give advanced students the Google Doc, "Circles and Rectangles," to identify other ways to partition circles and rectangles. The teacher will check students' work for accuracy. The teacher will allow students to share their work with the class if they choose.

5. The teacher will work in a small group with struggling students to develop an understanding of this concept. The teacher will use pieces already labeled whole, halves, thirds, and fourths. The teacher will take equal shares away from the whole and allow students the opportunity to share what is missing.

Assessment Strategies

The teacher will take anecdotal notes of misunderstandings and misconceptions as students respond to the discussion during the whole group Google Slide presentation.

The teacher will watch carefully as students decide what equal shares of halves, thirds, and fourths are missing from circles and rectangles.

The teacher will listen to the students as they work to complete the given assignment to show what they learned.

The teacher will review each student's completed worksheet for the accurate partitioning of circles and rectangles into equal shares.

Variation Tips

For advanced students who need a challenge, give them drawings of whole circles and rectangles. The teacher will allow students to show other ways (not discussed) to partition the circles and rectangles into halves, thirds, and fourths. 

For struggling students who need intervention, use whole fraction circles and rectangles already partitioned into equal squares. Allow students to break apart and put back together the wholes. Have students use the math terms whole, partition, equal squares, halves, thirds, and fourths as they break up and put together. Use these images of circles and rectangles to print out on card stock and cut out.

Background / Preparation

The teacher will need the Google Slide presentation, "Name the Missing Equal Shares With Circles and Rectangles."

The teacher will need the video, "Partition a Circle Into Two, Three, or Four Equal Shares."

The teacher will need the Google Document, "This Shape Is Partitioned Into."  Print enough copies for each of your students.

The teacher will need pencils for each student.

For Extension: The teacher will need to print the Google Doc assignment to expand students' understanding of the concept.

For Intervention: The teacher will need circles and rectangle pieces already labeled with whole, halves, thirds, and fourths to develop skills in the concepts. The teacher can print these images on card stock and cut them out along the ridges/lines to use in a small group.

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