Group 4 - BGB (02/22/22)

GRADE FIVE AND GRADE TWELVE

Group 4: Keane, Nathan, Matthiu, Miji, Jules, Desiree​

WELCOME!​

February 22, 2022 ​

Poll

How are you feeling today?

​Rates

​

a ratio with different units​

​

UNIT CATEGORY	UNIT​
​Time	Second (sec), Hour (hr) Day, Week, Month, Year
Length​	Meter (m), Miles (mi), Kilometer (km), Inch (in), Ce​ntimeter (cm)

​ Writing a Rate

• ​has units in the form of a fraction

• read as A per B

Speed = ratio of distance and time

Example

​ Unit Rate

• ​a rate with a denominator of 1

• When we say "4 meters per second," we mean 4 meters per 1 second."

Multiple Choice

is read as...

• miles over hour

• miles slash hour

• miles per hour

Multiple Choice

3 miles per - how many hours?

• 3 miles per 2 hours

• 3 miles per 1 hour

• 3 miles per 8 hours

​ Calculating Unit Rate

• In calculating a unit rate with the units A/B, divide the quantity with unit A by the quantity with unit B.

​

[(quantity A) / (quantity B)] = unit rate A/B

​

​

Equation:​

​

​

If Balto ran 33 miles in 3 hours, then his speed was:

​

Example

​

[(quantity A) / (quantity B)] = unit rate A/B

​

​ given:

A = 33 miles

B = 3 hours​

[ 33 miles / 3 hours ]

= [ (3 x 11 miles) / (1 x 3 hours) ]

​= 11 miles/hour

​ Applying Unit Rate

• can be applied to speed and unit price.

• can be used to calculate total distance and total cost.

​Applying Unit Rates

​

​	EQUATION​
​quantity	unit rate A/B x quantity
​total distance	speed × time
total cost​	unit price × quantity

​

​

To do so, we:

(1) Write down the appropriate equation.

(2) Plug in the values for the known quantities.

(3) Solve for the unknown quantity.

​

​

​

We can calculate any of the three parts in the equations given the other two. ​

​

Multiple Choice

1. Craig bought 96 rolls or toilet paper for 48 dollars. What is the cost of a single roll of toilet paper?

• a) $0.5

• b) $2

• c) $0.2

• d) $5

• e) $10

48 dollars ➗ 96 rolls = 0.5 dollars

Sol​ution:

Craig bought 96 rolls or toilet paper for 48 dollars. What is the cost of a single roll of toilet paper?​

​ given:

A = 48 dollars

B = 96 rolls​

Multiple Choice

2. While eating ants, a giant anteater flicks its tongue 150 times per minute. At this rate, how many times does the giant anteater flick its tongue in 6 minutes?

• a) 25

• b) 90

• c) 900

• d) 250

• e) 9,250

​= 900 flicks

Sol​ution:

While eating ants, a giant anteater flicks its tongue 150 times per minute. At this rate, how many times does the giant anteater flick its tongue in 6 minutes?​

​ given:

150 flicks/minute​

6 minutes​

150 flicks​

minute

x

6​

minutes

Multiple Choice

3. A mouse's heart beats 900 times in 1.5 minutes. At this rate, how many times does the mouse's heart beat in 10 minutes?

• a) 60

• b) 6,000

• c) 9,000

• d) 10.350

• e) 13,500

​= 600 times

Sol​ution:

A mouse's heart beats 900 times in 1.5 minutes. At this rate, how many times does the mouse's heart beat in 10 minutes?​

given:

900 times/1.5 minutes​

10 minutes​

900 times

1.5 minutes

​= 6,000 times

600 times x 10 minutes

Multiple Choice

4. The prices of items at Bob's Burgers are shown in the table above. If Teddy orders 3 burgers and 2 fries, what is the total cost of his order?

• a) $10

• b) $20

• c) $23

• d) $27

• e) $30

Sol​ution:

The prices of items at Bob's Burgers are shown in the table above. If Teddy orders 3 burgers and 2 fries, what is the total cost of his order?​

$21 + $6

= $27​

$7 x 3 burgers ​= $21

$3 x ​2 fries = $6

GRADE FIVE AND GRADE TWELVE

Group 4: Keane, Nathan, Matthiu, Miji, Jules, Desiree​

Thank you!​

February 22, 2022 ​