Elementary Mathematics

2nd Grade Unit 7: Partitioning

Click here for the new 2nd Grade Partitioning Unit!

BEGIN WITH THE END IN MIND! common core expectations...

2.G.3 Which Pictures Represent One Half?

2.G.3 Representing Half of a Rectangle

Unit 7 Performance Task

Unit at a Glance

Suggested Dates:
March 20- April 11

Estimated Duration:
16 days

Click here for the new 2nd Grade Partitioning Unit!

*Be sure to check out the Countries of the World Flag project and flag reference sheets below in the Tools for Teachers section.

Tools for Teachers

Check out this Countries of the World Flag project!

Here is the Flag Reference Sheet for the Project Above

Discovery Education video “The Number Crew: Action with Fractions.”

Helpful Tips and Resources for Investigations Fractions Unit 7 (includes a sample task).

End of Unit Assessment Rubrics

Investigation Assessment Checklists

This site provides an extensive collection of free resources, math games, and hands-on math activities aligned with the Common Core State Standards for Mathematics.

Extension Project ideas from the Minneapolis Public School District.

2nd Grade At A Glance and 2nd Grade Common Core Comparison

Progression for choosing numbers for tasks

   Investigations K-2 Literature List

Investigations Vocabulary

This is a great website that allows students to identify and create different fractions.

Website has a number of activities and games that align with the CCSS.

Fuel The Brain Games Aligned to Common Core

Games for Grades 2-3


MP1 and MP3 are the main focus for Investigation 1.

MP3  After students make different kinds of fourths in Session 2.1, having them prove their pieces are all the same size encourages them to construct viable arguments and critique the reasoning of others.

MP1 Make sense of problems and persevere in solving them. Student are specifically able to identify how equal parts of a whole group.

MP6 Attend to precision.
Viable arguments can be constructed (MP3) when identifying how and why groups can be divided into equal parts. (Great review of odds and evens)

MP6 (attend to precision) is addressed when students create halves, thirds, and fourths by folding and cutting shapes.  After a lesson focused on that, ask students how it would change things if they didn’t fold/cut their paper into equal parts.  Why is it important to be accurate when folding and cutting with fractions?


Look ahead to what students will have to do with fractions in 3rd grade by watching the video.  How can we ensure students have a strong foundation in partitioning with fractions in order to prepare them for what is coming ahead?  Discuss as a team.

Need to brush up on fractions?  Read the teacher note on pages 77-78. 

Download “Fun with Frogs and Fractions" from this site.  This is a free resource packet that has activities specific to standard 2.G.3. 


Suggestions for students who are struggling…

Allow students to use Geoboards to show halves, thirds, and fourths.  This will help them get a better visualization of equal shares.

Dividing a Rectangle into Equal Parts activity using a geoboard.

Geoboard Halves for additional practice.

Geoboard Fourths for additional practice.

Give students who are struggling with partitioning equal parts of squares, circles, and rectangles larger paper in order to practice folding those shapes using precision and accuracy. 

Math Teaching Resources has several activities that can be tied into the standards and made into workshop games to help struggling students. 


Link to CCSS Unpacking Document

2.G.3- Partition circles and rectangles into two, three, or four equal shares, describe the shares using the words halves, thirds, half of, a third of, etc., and describe the whole as two halves, three thirds, four fourths. Recognize that equal shares of identical wholes need not have the same shape.


Words you should hear students use in Mathematical Conversations...

fraction equal, half, halves, third(s), fourth(s), one quarter, circles, rectangles

Pair students up and have them sit back-to-back facing away from each other.  Then each student chooses 2 different fraction words (one-half, four-fourths, one-third, etc.).  Partner one will describe their fraction word without saying it while partner two will try to guess the word.  Listen for students to use the words equal, parts, pieces, whole, etc.

Draw 2 of the same sized rectangles on the board and partition into fourths differently.  Ask students to prove they are all equal fourths by using “Think, Pair, and Share” with a partner.  Listen for students to use precise language while they are explaining.

More Tools for Teachers

Fraction Book List:

Give Me Half by Stuart J. Murphy

Let’s Fly a Kite by Stuart J. Murphy

Jump Kangaroo Jump! By Stuart J. Murphy

Grandfather Tang’s Story by Ann Tompert

The Hershey’s Milk Chocolate Fractions Jerry Palotta

Picture Pie by:Ed Emberly

The WISHING CLUB a Story About Fractions by Donna Jo Napoli

Piece=Part=Portion by: Scott Gifford


Suggestions for students who fully understand…

Students who have a clear understanding of fractions can write an argumentative piece explaining why equal shares of identical wholes need not have the same shape.

*Remember to upload files to share with others, or locate files to use, on the wiki. Be sure to join discussion posts with other colleagues to ask questions, answer questions, and discuss math.