# What are fractions?

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##### Intros

###### Lessons

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##### Examples

###### Lessons

**Equal Parts of a Whole**

How many equal parts are there? Each part is how much of a whole?**Counting Shaded Parts of a Whole**

What fraction is shown by the shaded part(s)?**Shading in Parts of a Whole**

Represent the fraction by shading in parts of the shape**Fractions - Word Problem 1**

There were 10 kittens at the pet store. By the end of the day, 3 of them had been adopted.**Fractions - Word Problem 2**

Stella has a butterfly collection at home. She has 5 monarch butterflies, 2 swallowtail butterflies, 8 white cabbage butterflies, and 1 zebra butterfly.**Guessing the fraction by creating equal parts**

What fraction of the picture is shown by the shaded area? Try to split each into equal parts first.**Writing the fraction represented by the number line**

Write the fraction shown by the dot on the number line.**Fractions for sets of objects**

Describe the sets of objects with fractions by filling in the blanks.- There are ___ balls in total

___ are yellow out of ___ balls

What fraction of the balls are yellow? ___ - There are ___ cubes

___ are green out of a total of ___ cubes

What fraction of the cubes are green? ___ - If one-fourth of the light bulbs are broken:

There are ___ light bulbs in total

___ lightbulb(s) work and ___ lightbulb(s) do not work

What fraction of lightbulbs are not broken? ___ - Three slices of pizza have been eaten but five slices of pizza are left over:

There were ___ slices of pizza in total

___ slices have been eaten and ___ slices have not been eaten yet

What fraction of pizza slices have been eaten? ___

- There are ___ balls in total

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###### Topic Notes

In this lesson, we will learn:

- How to understand and write fractions using shape models
- How to understand and write fractions using groups of objects
- How to show fractions on number lines

__Notes:__**Fractions**are__parts of a whole__!- Fractions represent smaller pieces of a total (whole) thing
- Whole shapes are divided into equal parts
- Whole groups are divided into equal smaller groups (number of items)
- If you have $n$ number of equal parts of a shape, then each part is worth $\frac{1}{n}$ of a whole.
- Ex. 8 equal parts; each part is $\frac{1}{8}$ of a whole
- When writing a fraction with numbers, there are two parts:
- The top (the “
**numerator**”) represents how many parts you have - The bottom (the “
**denominator**”) represents how many total parts the whole is divided into - Ex.
- Fractions can also represent groups of objects.
- Ex. what fraction of these jellybeans are green?
- If you were to count:
- all the jellybeans it would be: $\frac{12}{12}$ jellybeans
- the jellybeans that were NOT green: $\frac{12 total -3 green}{12} = \frac{9}{12}$ not green
- the jellybeans that ARE green and NOT green: $\frac{3}{12} + \frac{9}{12} = \frac{12}{12}$ jellybeans
- if you add all the different parts of the whole, you will end up with the whole (when the top is equal to the bottom)

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