RP.1 Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities.
warm-up
Pick 4 and use the key to check your answers
Write the following ratios in 3 ways. (1/2, 1:2, or 1 to 2)
1) There are 12 boys in a class of 27 students.
a. Write the ratio of boys to students.
b. Write the ratio of boys to girls.
c. Write the ratio of girls to students.
d. Carson said the ratio of boys to girls is 4:9. Is he correct? Why or why not?
2) & & & & + + + + + + + + + + + +
a. Kalea said that for every 2 & signs, there are 3 + signs. Is she correct? Why or
why not?
b. Felipe wrote the ratio 4:16. What measures was he comparing?
1) There are 12 boys in a class of 27 students.
a. Write the ratio of boys to students.
b. Write the ratio of boys to girls.
c. Write the ratio of girls to students.
d. Carson said the ratio of boys to girls is 4:9. Is he correct? Why or why not?
2) & & & & + + + + + + + + + + + +
a. Kalea said that for every 2 & signs, there are 3 + signs. Is she correct? Why or
why not?
b. Felipe wrote the ratio 4:16. What measures was he comparing?
mini lesson - independent work/share out/discussion
Directions: We will work out one problem from each problem set. With a partner, select at least two problems per problem set to complete individually. When the two of you are done, share out and compare your models and answers.
team challenge
Voting for Two, Variation 4
John and Will ran for 6th grade class president. John got two votes for every vote Will got. It was necessary to get more than half the votes to get elected. What fraction of the votes more than half did John get?
Ratio of boys to girls
The ratio of the number of boys to the number of girls at school is 4:5.
a. What fraction of the students are boys?
b. If there are 120 boys, how many students are there altogether?
The Escalator, Assessment Variation
Ty took the escalator to the second floor. The escalator is 12 meters long, and he rode the escalator for 30 seconds. Which statements are true? Select all that apply.
a. He traveled 2 meters every 5 seconds.
b. Every 10 seconds he traveled 4 meters.
c. He traveled 2.5 meters per second.
d. He traveled 0.4 meters per second.
e. Every 25 seconds, he traveled 7 meters.
Climbing the Steps of El Castillo
Chichén Itzá was a Mayan city in what is now Mexico. El Castillo, also known as the pyramid of Kukulcán, is a pyramid located in the ruins of Chichén Itzá. The temple at the top of the pyramid is approximately 24 meters above the ground, and there are 91 steps leading up to the temple. How high above the ground would you be if you were standing on the 50th step?
John and Will ran for 6th grade class president. John got two votes for every vote Will got. It was necessary to get more than half the votes to get elected. What fraction of the votes more than half did John get?
Ratio of boys to girls
The ratio of the number of boys to the number of girls at school is 4:5.
a. What fraction of the students are boys?
b. If there are 120 boys, how many students are there altogether?
The Escalator, Assessment Variation
Ty took the escalator to the second floor. The escalator is 12 meters long, and he rode the escalator for 30 seconds. Which statements are true? Select all that apply.
a. He traveled 2 meters every 5 seconds.
b. Every 10 seconds he traveled 4 meters.
c. He traveled 2.5 meters per second.
d. He traveled 0.4 meters per second.
e. Every 25 seconds, he traveled 7 meters.
Climbing the Steps of El Castillo
Chichén Itzá was a Mayan city in what is now Mexico. El Castillo, also known as the pyramid of Kukulcán, is a pyramid located in the ruins of Chichén Itzá. The temple at the top of the pyramid is approximately 24 meters above the ground, and there are 91 steps leading up to the temple. How high above the ground would you be if you were standing on the 50th step?