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Partition Circles and Rectangles In Halves, Quarters, and Other Fractions

2.G.3
Answer Keys Here

Aligned To Common Core Standard:

Grade 2 Geometry - 2.G.3

What should you do when you are required to break a shape into equal parts? You will often be asked to divide a shape in half, sometimes in quarters, and further into to thirds. These worksheets demonstrate to students how to divide shapes (circles and rectangles) in half, quarters, and thirds. Partitions are an important concept in geometry that a kid begins to understand when studying shapes. Partitioning of shapes means to split a shape into different pieces. There are two types of partitioning, which include equal partition and unequal partition. Equal partitioning is a case where a shape is split into parts that are equal in size. Unequal partitioning is splitting a shape into unequal parts. Halves, quarters, and thirds are the basic types of equal partitioning. When circles and rectangles are split into two equal parts, we call it halving. Each of these two equal parts is called a half or semi-circle, and one half is represented as 1/2. When you partition these shapes into three equal parts, we call each of these parts as one-third of a shape which is represented by 1/3. Circles and rectangles can be split into four equal parts as well, and we call each of these parts as quarters or as one-fourth of the shape. it is represented by 1/4.

Printable Worksheets And Lessons


  • Step-by-step Lesson- We teach you the difference between halves and quarters by using a square.

  • Guided Lesson - We first ask you how parts shapes are broken into. We move on to ask you how many of those shapes are shaded.

  • Guided Lesson Explanation - I find that numbering the parts helps a lot. You might want to get students into that habit.

  • Practice Worksheet - Determine the fraction of each shape that is shaded.

  • Matching Worksheet - Match the shaded shapes to their numeric or word based fraction.


Homework Sheets

We start by breaking all kinds of common shapes into pieces and parts.

  • Homework 1- Halves means that one of the two equal parts of something or 50% of one whole. Quarters means that one of four equal parts of something or 25% of one whole.
  • Homework 2- The shape below has been broken into parts. Label the shape as being broken into halves, thirds, or fourths.
  • Homework 3- What fraction of shape is filled?



Practice Worksheets

Now we start to ask students to identify the fraction that is right in front of them.

  • Practice 1- Label the drawings below as halves, thirds or fourths.
  • Practice 2- What fraction of the shape which is filled?
  • Practice 3- Label the drawings below as halves, thirds or fourths.



Math Skill Quizzes

These are in the same exact form that have been present on countless State assessments.

  • Quiz 1- What fraction of the shape is filled?
  • Quiz 2- Label the drawings below as halves, thirds or fourths.
  • Quiz 3- Tell how many parts each shape is broken into. Label the parts equal or unequal.