Monday, August 26th Please complete the warm up

1. If someone is driving 22 feet per minute, how fast are they driving in miles per hour?

2. What is longer….345 seconds or 6.2 minutes. EXPLAIN.

WEEK AT A GLANCE Monday: Unit Rate and solving for variable Tuesday: Area and perimeter with conversions Wednesday: ReviewThursday: Test Friday: Unit 2 Preview

*Remember: Tutoring is available!

WHAT DID BRAD PITT DO WRONG?How many cups are in 5 pints?

1 5 int4 int20 int

cup p sp s xp s

PART I- UNIT RATE

A. UNIT RATEUnit rate is when the denominator is 1. It is how much something is for just one unit!

Examples:

1. $3.00 per pint

2. 3 miles per hour

3. $5.50 per gallon

B. FINDING UNIT RATE

When finding unit rate you must DIVIDE the numerator and denominator to make the denominator 1!

Example $15 per 3 ounces

ounceounces 15$

315$

YOU TRY!

Determine if the following rates are unit rates. If not, Write the unit rate

1. $4.00 per pint

2. 40 miles per 4 hours

3. $7 per hour

4. 12 feet per 3 seconds

C. REAL LIFE APPLICATION

American Eagle, The Gap and Old Navy were running a sale on your favorite jeans. Using the table, which store had the better deal? Hint: find unit rate for each and compare!

Store PriceAmerican Eagle

5 for $25

The Gap 3 for $16Old Navy 4 for $19

Part II: Solving for a variable

d=rtSolve for r

Right now this is how the bedroom is set up….

•If we wanted to rearrange the room, how could the room look?!

The furniture I started with, is still there!

I DIDN’T ADD ANY FURNITURE!

LET’S THINK ABOUT IT! What does these two equations have in

common?

What’s different about these equations?

Which equation is convenient if you know the length and width?

Which equation is convenient if you know the width and area?

Which equation would I use to find the area?

Which equation would I use to find the length?

A=lw

L=w/A

Whatever letters I start with I

HAVE TO FIND IN MY ANSWER!!!

I’m just rearranging my

letters

An equation that states a rule for a

relationship among quantities

FORMULA

A. STEPS FOR SOLVING FOR A VARIABLE

1. Locate the variable you are asked to solve for in the equation

2. Identify the operations on this variable and the order in which they are applied

3. Use inverse operation to undo operations and isolate the variable

d = rt solve for r d = rt

Multiplying it by tInverse: dividing it by t (make t the denominator)÷ t ÷t

d/t = r

Words Example 1

Example 2The formula for the area of a triangle is A = bh,

where b is the length of the base, and h is the height. Solve for h.

Locate h in the equation. A = bhSince bh is multiplied by , divide both

sides by to undo the multiplication.2A = bh

Since h is multiplied by b, divide both sides by b to undo the multiplication.

Dividing by a fraction is the same as multiplying by the reciprocal.

Remember!

Example 3The formula for an object’s final velocity is f = i – gt, where i is the object’s initial velocity, g is acceleration due to gravity, and t is time. Solve for i. f = i – gt Locate i in the equation.

Since gt is subtracted from i, add gt to both sides to undo the subtraction.

f = i – gt+ gt +gt

f + gt = i

YOU TRY!!!!

1. 2. 3. 2x + 7y = 14 for y

4.

P = R – C for C C = R – P

for m m = x(k – 6 )

5. for C C = Rt + S

for h

After you are done, raise your hand and I will check them. Then, help someone around you!