Introduction to Ratios

1

Warm UpOBJECTIVE: 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. .

Agenda

2

3) Which fraction above has the greatest value? 5/9 is bigger than 3/10 because 5/9 is about 0.55 and 3/10 = 0.3

Write each fraction in simplest form.

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

1) Warm Up - Individual

2) Lucky Charms Launch – Whole Class

3) Exploration - Partner

4) Summary - Individual

5) Practice – Small Group

6) Assessment - Individual

3

What does the word quantity

mean?

What does the word quantity

mean?

Hint: How many ears do I

have?

Hint: How many ears do I

have?

A quantity is an amount of

anything that we can count. Like my ears!

A quantity is an amount of

anything that we can count. Like my ears!

Lucky Charms Launch

Agenda

4

Hint:

1. Have you ever had Lucky Charms cereal?

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

3. Predict how many marshmallows pieces are 1 box.

4. Predict how many oat pieces are in 1 box.

Turn and Talk:

Lucky Charms Launch

Agenda

5

1. Have you ever had Lucky Charms cereal?

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

3. Predict how many marshmallows pieces are 1 box.

4. Predict how many oat pieces are in 1 box.

Turn and Talk:

Hint: There are almost 2,500 marshmallows and oats

altogether in 1 box.

Hint: There are almost 2,500 marshmallows and oats

altogether in 1 box.

Lucky Charms Continued

6

Agenda

1) a fraction1) a fraction

2) the word, “to” 2) the word, “to”

3) a colon :3) a colon :

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.

We can write a ratio in 3 ways using:

Lucky Charms Continued

7

Agenda

Remember in 1 box:287 Marshmallows2,583 Oats

Remember in 1 box:287 Marshmallows2,583 Oats

Write the ratio of marshmallows to oats in 3 ways.

Let’s try together:

1) A Fraction

2) The Word “to

3) A Colon

287 Marshmallows to 2,583 Oats

287 Marshmallows : 2,583 Oats

Practice – Work with a partner!

8

Agenda

Talk to your partnerHow are the ratios above alike? Does the order matter when writing a ratio?

Write a ratio comparing # of people to # of pizzas for each picture.Picture #1 Picture #2

1 person: 4 pizzas 4 people: 1 pizza

Yes! The situation changes if we change the order of pizza & people.!

Explore

9

Agenda

Partner Work: Use the picture above to write a ratio in 3 ways comparing the # of lions to # of birds.

lions to birds6 lions to 1 bird

lions : birds

6 lions : 1 bird

Simplifying Ratios

10

Agenda

1) Write in simplest form the ratio of Biking to Running.

Let’s explain the meaning of this ratio!This ratio means that for every 1 hour biking, Christian spent ___ hoursplaying basketball.

= 8 hours of biking16 hours of basketball = 1 hour of biking2 hours of basketball

Simplifying Ratios

11

AgendaScaffold

2) Write in simplest form the ratio of Christian’s time spent running to total hours of activities.

Let’s explain the meaning of this ratio!This ratio means that for every 25 total hours Christian spent on

activities, he spent ____ hours running.

Summary – Try Independently

1) A ratio is a comparison of two different _________.

2) We can write a ratio in ____ different ways.

3) Ratios can be written as As a fraction Using the word “to”Using a colon :

13

Agenda

Use the CW hand-out to complete the following problems.

Practice

14

Agenda

Practice

15

Agenda

Use the CW hand-out to complete the following problems.

AssessmentComplete the following questions on your own!

Write a ratio comparing # of fish to # of sharks in 3 ways.

16

Agenda