Silent Do Now (5 Minutes)Before you start: Make sure that your homework is in the homework folder & that you take out your weekly sheet.

Solve for x. 1. 6(x + 10) = 70Simplify. 2. 2(x + 3) – 3x + 4x Answer the following questions:3. How many inches are in a foot? 4. If I have 24 feet of string, how many inches of string do I

have? How would you figure that out?

Agenda

• Review Do Now (2 minutes) • Review Exit Ticket & Tracking• Guided Notes on Basic Unit Conversions (20

minutes)– Demonstration– Examples & Practice Problems

• Quick Check & Review on the Board (5 minutes)• Independent Practice (20 minutes) • Exit Ticket (5 minutes)

Review Do Now (5 Minutes)Solve for x. 1. 6(x + 10) = 70

Simplify. 2. 2(x + 3) – 3x + 4x

Answer the following questions:3. How many inches are in a foot? 4. If I have 24 feet of string, how many inches of string do I

have? How would you figure that out?

How old is Ms. Matrone?!

If Ms. Matrone is 9,496 days old, how many years old is she?!?!? Can you figure it out?

Important Vocabulary

• Dimensional Analysis: A mathematical system using conversion factors to move from one unit of measurement to a different unit of measurement.

• Conversion Factor: A ratio written in fraction form that can express the same value or quantity in two different units.

Demonstration

This milk carton is ½ gallon. How many cups is that equal to?

Example 1 How many days are in 5 years? In other

words, convert 5 years to days.

1. Create a ratio for the original rate (what you know):

2. Determine the conversion factor that will ultimately lead you in the direction you are trying to go:

3. Use dimensional analysis to solve the problem:

How many days are in 5 years?

Initial unit 5 years Conversion Final factor unit5 years x 365 days = 1 year

cancel

Convert 1825 days to minutes.

1. Create a ratio for the original rate (what you know):

2. Determine the conversion factor that will ultimately lead you in the direction you are trying to go:

3. Use dimensional analysis to solve the problem:

How many minutes are in 1825 days?

Initial unit 1825 days Conversion Final factor s unit1825 days x 24 hours x 60 minutes = 1 day 1 hour

Convert 2 gallons to cups.

1. Create a ratio for the original rate (what you know):

2. Determine the conversion factor that will ultimately lead you in the direction you are trying to go:

3. Use dimensional analysis to solve the problem:

How many cups are in 2 gallons??

Initial unit 2 gallons Conversion Final factors unit2 gallons

Let’s do an activity!

• How many jumping jacks can you do in a minute?

Me: My Partner: Number of sit-ups: _________ ___________ 1 Minute 1 Minute

Now some questions…

1. If your partner can do this many sit- ups in one minute, how many could she potentially do in an hour? How about in a day? Finally, how many can your partner do in a year?

When talking about jumping jacks, which unit of measurement makes the most sense?

Quick Check!

• Sally is 6 years old today, how many weeks is she?

• Coach Bates has been teaching at Morrow High School for 9 years, how many weeks has he taught here at MHS?

Independent Practice

• Work with your shoulder partner on the back of this worksheet!

Exit Ticket (5 minutes)

• Our classroom is 9 yards wide. How many inches wide is the room?

• The student below converted 2000 inches to miles. Explain what the student did wrong and why.

2000 inches x 12 inches x 5280 feet = 126,720,000

1 foot 1mile