Lesson Plan – 8th Grade Algebra
Lesson Plan – 8th Grade Algebra
4-1 Ratios and Unit Rates
Objective: To find and compare ratios and unit rates.
Materials:
• Candy (small size) for each table
• Candy to demonstrate the various sizes for unit rate wks.
• Notes/Worksheets
Launch:
• Start off the lesson by looking at the small pile of candy on the table and drawing it in notes.
Explore:
• Continue through the notes using small group work and also coming together as a class.
o Ratios (with candy – each student can have a piece at the end of class)
o Unit rates (with snickers worksheet thing and then another practice problem)
Summarize:
• 30 second clip about computing rates of juice to wrap up.
• Homework Sheet
o Write a test question, with the answer, you think the teacher might put on the test.
o A couple problems comparing players on a basketball and a soccer team.
Ratios & Unit Rates
(4-1)
Objective: To find and compare ratios and unit rates.
Terms to know:
Ratio: a comparison of two numbers by division. The ratio of a to b is
a : b or a/b, where b is not equal to zero.
Rate: a ratio in which a and b represent quantities measured in different units.
Unit Rate: a rate with a denominator of 1.
Happy Halloween! After an hour of trick or treating, you decide to check out the candy you have. You dump it out on the table to compare with your friends. In the box below, draw a sketch of what your pile of candy looks like, using the following symbols
| |
= Reese’s
= Twizzler
= Sweet Tart
= Kit Kat
Write a ratio for 3 different pairs of candy (3 different ways for each pair):
1.
2.
3.
More practice:
1. When you go out trick or treating with your friends, 5 people are dressed as Frankenstein, 17 people are dressed as ghosts, and 14 people are dressed as zombies. What is the ratio of zombies to Frankensteins (write in 3 ways)?
2. Write your own ratio problem and solve it.
3. Write equivalent ratios to the following ratios:
a. 2 : 6 c. 1 : 3
b. 1: 4 d. 3 : 4
You have decided to pass out goodies in your neighborhood this Halloween. The two items you are going to pass out are Red Bull energy drinks and candy. The table below gives prices for the different sizes of Red Bull energy drinks and variety packs of Halloween candy for Store A and Store B.
|Store A |
|Red Bull Energy Drinks |
|Price |Volume |
|$3.19 |12 oz |
|$3.98 |16 oz |
|$4.71 |20 oz |
| |
|Candy Variety Pack |
|$3.99 |1.5 lbs |
|$7.79 |3.0 lbs |
|$11.02 |4.0 lbs |
|Store B |
|Red Bull Energy Drinks |
|Price |Volume |
|$3.07 |12 oz |
|$3.88 |16 oz |
|$4.89 |20 oz |
| |
|Candy Variety Pack |
|$3.97 |1.5 lbs |
|$7.85 |3.0 lbs |
|$10.68 |4.0 lbs |
a. Which size Red Bull is the better buy at Store B?
b. What size bag of candy is the better buy at Store A?
c. Suppose you want to buy 12 lbs of candy and at least 94 oz of Monster energy drink.
a. At Store A, which size candy and Red Bull would you buy? Why?
b. At Store B, which size candy and Red Bull would you buy? Why?
d. What factors could affect your decision of what sizes to buy? Give examples.
Homework
1. Convert the following to a unit rate:
a. In 2012, world record holder, Joey Chesnut ate a total of 62 hot dogs in 10 minutes.
b. For getting 1st place, he won $10,000. How much money did he win per hot dog?
2. Janelle ran 1.70 miles in 9 minutes. Molly ran 1.45 miles in 8 minutes. Who was running faster?
3. Soccer season has just ended for Tim and Sam. They are both hoping to make a travel team, which only has one spot left. The coach is taking a look at their stats from the season to see who he will keep. Using the table below, answer the following questions.
|Player |# of games played |# of goals scored |# of assists |
|Tim |18 |22 |3 |
|Sam |23 |10 |34 |
a. Who had the most goals per game?
b. Who had the most assists per game?
c. Who would you rather have on your soccer team? Why?
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