6th Grade Module1 Lesson 1.notebook

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August 17, 2014

May 1­6:19 AM

6th GradeModule 1Lesson 1

RATIOSObjectives:

Understand that a ratio is an ordered pair that are positive non­zero numbers.

Use precise language and notation of ratios (3:2, 3 to 2). Understand that the order of the numbers matter based on the description given.

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Module 1Lesson 1Classwork

TAKE OUT LESSON 1 CLASSWORK ‐ Pg S.1

May 1­6:19 AM

Module 1Lesson 1Classwork

The coed soccer team has four times as many boys on it as it has girls. We say the ratio of the number of boys to the number of girls on the team is 4:1. We read this as "four to one." (Read aloud)

Example 1

May 1­6:19 AM

Module 1Lesson 1Classwork

Example 1 The coed soccer team has four times as many boys on it as it has girls. We say the ratio of the number of boys to the number of girls on the team is 4:1. We read this as "four to one."

Let's create a table to show how many boys and how many girls are on the team.

(create as a class)

(students copy in student packet)

Example 1

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Module 1Lesson 1Classwork

Is 4 boys and 1 girl big enough to form a soccer team?

# of boys # of girls Total # of players

4 1 5

(students discuss with partner or table and share out)

Example 1

May 1­6:19 AM

Module 1Lesson 1Classwork

What are some other options for teams that would still show 4 times as many boys as girls or a raio of boys to girls of 4 to 1?

# of boys # of girls Total # of players

4 1 5

(Students work with partner or group to add to their table)

Classwork

Example 1

(infinity clonedif you want toprovide a visualof any ratio)

6th Grade Module1 Lesson 1.notebook

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May 1­6:19 AM

Module 1Lesson 1Classwork

There are 4 times as many boys as girls."

(students work in their groups to draw a model in their packet)

Example 1

alk

Let's make a tape diagram or bar model to show this.

May 1­6:19 AM

Module 1Lesson 1Classwork

Which makes the relationship easier to visualize...

(students discuss in their groups; no right or wrong answer)

Example 1

alk

1) The ratio is 4 to 1

2) There are 4 times as many boys as girls.

BOYS

GIRLS

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Module 1Lesson 1Classwork

Create a table like the first one and show at least 3 possibilities of the number of boys and girls on the soccer team if the ratio is 3:2.

What if the number of boys to number of girls on the team is 3:2?

(students work with partner or group to create table n student packet)

Example 1

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Module 1Lesson 1Classwork

Can I say "there are 3 times as many boys as girls."

# of boys # of girls Total # of players

3 2 56 4 109 4 15

(students talk with partner or group to)

Example 1

alk

If not, what CAN I say...

May 1­6:19 AM

Module 1Lesson 1Classwork

There are as many boys as girls."

# of boys # of girls Total # of players

3 2 56 4 109 4 15

Example 1

alk

What does this mean?

3 2

(students talk with partner or group to try and articulate their thoughts)

May 1­6:19 AM

Module 1Lesson 1Classwork

There are as many boys as girls."

(students work in their groups to draw a model in their packet)

Example 1

alk

Let's make a tape diagram or bar model to show this.

3 2

6th Grade Module1 Lesson 1.notebook

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August 17, 2014

May 1­6:19 AM

Module 1Lesson 1Classwork

Which makes the relationship easier to visualize...

(students discuss in their groups; no right or wrong answer)

Example 1

alk

1) The ratio is 3 to 2

2) There are 3 halves as many boys as girls.

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Module 1Lesson 1Classwork

Example 2

By yourself...

Look around the class and see if you can find the ratio of boys to girls in our class. Thumbs up when you know.

(Have students give a choral response when ready)

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Module 1Lesson 1Classwork

Example 2

How can we saythis as a multiplicative comparison without using ratios?

:(Write classratio here)

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Module 1Lesson 1Classwork

Example 2Write the ratio of number of boys to number of girls in your student packet under Example 2, Question 1.

Compare with your neighbors...Does everyone's look the same?

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Module 1Lesson 1Classwork

Example 2

What were the differences...

(Write up to 3 different ways the ratios were written and then ask 3 questions behind shade below)

1) Is it ok to use either the colon symbol?2) Is it ok to use the word "to" between the two numbers of the ratio?3) Can the ratio itself have units or descriptive words attached?

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Module 1Lesson 1Classwork

Example 2

What is the the ratio of number of girls to number of boys? Write the ratio in your student packet under Example 2, Question 2.

Thumbs up when you know.

By yourself...

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Module 1Lesson 1Classwork

Example 2

Is the ratio of number of girls to boys the same as the ratio of boys to girls?

Is this an interesting comparison or not? Explain why or why not?

(Ask questions behind shade)

Would a ratio of 15:5 be more interesting?

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Module 1Lesson 1Classwork

Example 2Stand up if you identify we each statement. Then write a ratio of the first statement to the second statement on #3, etc... in your packet

1. You traveled out of state this summer.2. You did NOT travel out of state this summer.

(slide blue rectangle down to reveal 1 question at a time)

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Module 1Lesson 1Classwork

Example 2Stand up if you identify we each statement. Then write a ratio of the first statement to the second statement on #3, etc... in your packet

1. You have at least on sibling.2. You are an only child.

(slide blue rectangle down to reveal 1 question at a time)

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Module 1Lesson 1Classwork

Example 2Stand up if you identify we each statement. Then write a ratio of the first statement to the second statement on #3, etc... in your packet

1. Your favorite class is math.2. Your favorite class is not math.

(slide blue rectangle down to reveal 1 question at a time)

(create another example for blank #6 if desired)

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Module 1Lesson 1Classwork

Example 2Which ratio did you find the most interesting?

(Share with a partner and then have a few students share out)

Travel SiblingsMath

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Classwork

Exercise 1Look around the classroom and think of your own ratio.

(Have students write ratio statements that represent their ratios on page S.2 in their packets. Share with partner and have a few share out.)

Module 1Lesson 1

Page S.2

6th Grade Module1 Lesson 1.notebook

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August 17, 2014

May 1­10:34 PM

Classwork

Exercise 2Work with a partner to write ratios in words that could be represented by each ratio given.Be precise about order and description!

Module 1Lesson 1

Page S.2

(Share out one idea for each ratio)

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Classwork

Exercise 2Read these two ratios...

1) For every on year, there are twelve months.

2) For every 5 female teachers I have there are 2 male teachers.

Module 1Lesson 1

Page S.2

(Class discussion)

Which ratio statement is constant...never changes?

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ClosingModule 1Lesson 1

(pull down shade for closing questions)

A ratio is an ordered pair of non­negative numbers, which are not both zero. The ratio is denoted A:B or A to B to indicate the order of the numbers. The number A is first, and the number B is second.

1. Can you describe a ratio in your own words?

2. What are two quantities you would love to have in a ratio of 5:2, but hate to have in a ratio of 2:5? (Think­ Pair­Share out)

May 1­10:34 PM

Exit TicketModule 1Lesson 1

5 minutes to quietly and independently complete and turn in