Proportion Exploration

Put your name on your paper

How many drops of water does it take to fill a graduated cylinder?

Lets use proportions to find out.

First collect data:

1.    Practice filling the eyedropper with water to the designated mark.

2.   Copy the table below to tally how many full eyedroppers it takes to fill the graduated cylinder to 7 mL. Write your results in your table.

Tally  Total
  

Write a ratio that shows how many droppers per 7 mL of water. Make sure to include your units. Get your ratio checked by your teacher before moving on.

Now we will set up a proportion to find out how many eyedroppers it will take to fill the graduated cylinder to 50 mL.

Complete the proportion below, then solve for your unknown.

         eyedroppers            =           eyedroppers     

            7 mL                                    50 mL

On your paper, write the sentence below and fill in the blank

It will take _________________ eyedroppers to fill the graduated cylinder to 50 mL.


How long to sprint a mile.

In the next activity, we will use proportions to calculate how long it takes students to run their fastst mile.

Let’s go for a walk outside. Three volunteers to run 50 ft.

Name_______________________                    Time_____________________

Name_______________________                    Time_____________________

Name_______________________                    Time_____________________

Name_______________________                    Time_____________________

Now that we have some data, we will return to the class to find out how long it would take these students to run a mile at that same rate. Show your proportions, proper units, and how the problems were solved on your paper. Get your answers checked by your teacher.

Volunteer 1:                                                           

Volunteer 2:

Volunteer 3:

Volunteer 4:


For each volunteer, find how long it will take them to run 1/2 a mile, 1/4 a mile and 1/8. Show your work on your paper and get it checked by your teacher.

Volunteer 1:                                                   Volunteer 2:                                Volunteer 3:    Volunteer 4:

1/2                                                                 1/2                                                 1/2                 1/2                      

1/4                                                                 1/4                                                 1/4                 1/4

 1/8                                                                 1/8                                                 1/8                1/8


It is book time.

Select a full page from the class assigned book. Find the unit rate of words per line of a book. Write the ratio of words per line on your paper and be sure to include units. Show your work on your paper and get it checked by your teacher.

 

Use the unit rate to find how many words per page. Show your work on your paper and get it checked by your teacher.


Use the unit rate to find how many words in the book. Show your work on your paper and get it checked by your teacher.


Let’s Travel

Mr. Jack is going to live in Paris. He will take $500.00 with him. How much is that in Euros? 1 Euro equals 1.3 dollars. Use a proportion to find out.

Mrs. Garcia goes to Mexico and brings $120.00. How much is that in Pesos? Use a proportion to find out. 13.76 pesos per US dollar.

 

How tall is a basketball pole?

Time to take a walk to the courts. We will use similar figures, shadows, and proportions to find the height.

 First we need a volunteer. Once your teacher places the volunteer in the right spot, draw what you see including shadows on your paper.

Fill in the data below:

Volunteer’s Height _______ Volunteer’s Shadow length ________

Basketball poles’ shadow length __________________

Proportion:

Height of Basketball pole.

 

 


Birthday Candle Burndown

How long does it take to burn down a birthday candle?

First lets see how long it takes to burn in 2 minutes and then we will see how long it will take to burn down the entire candle.

 

Height of candle before burning ___________                     Height of candle after burning for 2 minutes____________

Set up your proportion to see how long it will take to burn down the candle completely. Show your work.  

 

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