## Partitioning Circles and Rectangles

#### Aligned To Common Core Standard:

**Grade 1 Operations** - 1.G.3

What is partitioning circles and rectangles? To understand the fractions, kids need to have a clear understanding of the shapes and how to partition them. The initial fraction lessons begin with partitioning shapes, which lays the foundation for the concept. It is best to start learning fractions with basic shapes such as circles and rectangles. Partitioning means separating something into different sections. Partitioning can be done in two ways, which include equal and unequal parts. In equal partition, each of the partitioned sections is identical to the other partitioned sections. When you place these partitioned sections on each other, they will exactly lay down and match the sections below them. When you partition a circle and a square in two halves, each partitioned half can be written as 1/2. When you equally partition a circle in 4 parts, each section can be written as 1/4. An unequal partition is where each partitioned section is of a different size; these sections, when placed on top of each other, will not match the sections below them. When the partitioned sections combine, they form a shape. These worksheets help students learn to break circles and rectangles into equal and unequal sub-shapes.

- Halves and Quarters Step-by-step
Lesson- Students learn the difference between halves and quarters.
Great to start to work towards symmetry skills.

- Labeling Halves and Quarters Guided
Lesson - We give you three sets of objects and we ask you what
they are broken into.

- Broken Pieces Guided Lesson Explanation
- Might have gone a bit overboard on the explanation front.

- Cut Me In Two Worksheet -
We lay the groundwork to start understanding the concept of symmetry.

- Color One Half Worksheet
- The alien outline is the best drawing I have made in years.

- Equal Halves Worksheet
- Determine equal halves of objects in minutes.

- Cut Into Halves and Quarters
- We give you a shape and ask you to get in touch with your inner
Ninja.

- Matching Parts of Shapes
- I love this sheet. It really helps kids master the skill. We take
just a piece of the shape.

#### Guided Lessons

We split all types of things into halves and quarters here.

- Identify Shape Guided Lesson 1 - Just because there are two lines doesn't mean that you have quarters.
- Partitioning Circles Step-by-step Lesson 1 - Identify halves. One of the two equal parts of something is called a half. Now we see that figure A is divided into two equal parts. And figure B is divided into four equal parts.
- Partitioning Rectangles Lesson 2- The shape below has been broken into parts. Label the shape as being broken into quarters or halves.
- Partitioning Circles - Lesson 3- Again we count the number of equal parts. We have two equal parts in the figure. Two equal parts are halves.

#### Practice Worksheets

These lead us directly to symmetry which is a key skill at all levels of geometry.

- Partitioning Circles and Rectangles Worksheet 1 - Time to label them. Label the shapes below as being broken into quarters or halves.
- Color One Half Worksheet 2- Divide the objects into two equal halves by coloring one half.
- Cut In Two Worksheet 3- Draw a single line that cuts the object exactly in half. Each side should be a mirror of the other.
- Equal Halves Worksheet 4- Make equal halves of the image by drawing a line.