**Ratios and Proportional Relationships**

6RP-Understand ratio concepts and use ratio reasoning to solve problems

6.RP.1. Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.

The "Lucky Charms" Question?

Have you ever had Lucky Charms cereal?

Are there more marshmallows or oat pieces in a box of Lucky Charms?

Predict how many marshmallows pieces are 1 box.

Predict how many oat pieces are in 1 box

**Conclusion**

Compare your definition of a ratio compared to the one on the diagram below

Use your graphic organizer to "organize" your thoughts

Make a prediction about "Part-to-Part" versus "Part-to-Whole" Ratios

Use your own words to answer the questions

**What types of problems will I solve?**

• Pianos and pipe organs contain keyboards, a portion of which is shown below.

What is the ratio of black keys to white keys in the picture above?

If the pattern shown continues, how many black keys appear on a portable keyboard with 108 white keys? Hint: How can you demonstrate all steps visually?

**Ratio?**

Write each fraction in simplest form.

5/9 is bigger than 3/10 because 5/9 is about 0.55 and 3/10 = 0.3

3) Which fraction above has the greatest value?

Agenda

OBJECTIVE: Students will write real-world quantities as ratios and explain their meaning.

Language Objective: Students will define ratio and will be introduced to ratio language.

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Warm Up

Things to consider:

What operation is used to simplify a fraction (use correct vocabulary)

How do you convert a fraction to a percentage?

Write down all of the vocabulary associated with fractions

What does the word "quantity" mean?

Take a minute to write down all of the vocabulary and terminology that you currently know about ratios, including real life situations that require the use of a ratio.

Write down a prediction as to how this problem will be solved.

How do you think we will solve the "Piano Task" presented earlier in this presentation?

Exit Ticket...

What did you learn about ratios that you did not already know?

Follow-Up...

There are 287 marshmallow pieces and 2,583 Oat Pieces in 1 box of Lucky Charms.

We can write this real-world situation as a ratio!

A ratio is a comparison of two different quantities.

1) A Fraction

2) Using the word "to"

3) Using a colon :

We can write a ratio in 3 different ways...

Think about this one...

After you decide how the ratio will be written, does the order in which it is written matter?

For Example

Write a proportion comparing

# of people to # of pizzas for each picture

Discuss:

How are the ratios above alike similar?

Does the order matter when writing the ratio?

1 person to 4 pizzas

4 people to 1 pizza