Unit 3
Ratios
Ratios
Notebook:
A ratio is a comparison of two numbers.
The Shades Crew challenged Mr. Twee to a lunchtime volleyball game.
Who will win?
.Three students challenge one teacher to a volleyball game. We can compare the number of students to number of teachers. This is a ratio: 3 to 1.
There are three different ways to write a ratio:
There are three different ways to write a ratio:
Whenever you play a game, you are always comparing two numbers: your score and your opponent's score.
At the end of the first half,
The Shades Crew is dominating with
a ratio of 4 goals to Mr. Twee's 1 goal.
The Shades Crew is dominating with
a ratio of 4 goals to Mr. Twee's 1 goal.
It makes sense -- they've been practicing all week. Plus Mr. Twee is outnumbered. Also Mr. Twee hurt his calf last week and has been feeling "off" all week.
Make a prediction. What will the final score be? Scroll down for the answer.
Seriously, make a prediction. Making predictions is a great way to learn precision. Make a prediction, then scroll down.
I'll give you a hint: The ratio of student goals for the second half is the same as the first half.
What if the game went twice as long? What do you predict the score would be?
How about three times as long? Four times? n times?
What you are finding is equivalent ratios. We're going to learn much more about these in the next lesson.
How about three times as long? Four times? n times?
What you are finding is equivalent ratios. We're going to learn much more about these in the next lesson.
I am compiling The List of Interesting Ratios. If you have a suggestion, please tell me!
Classwork & Homework:
--EngageNY
State Test Practice:
California Standards:
CCSS.Math.Practice.MP1 Make sense of problems and persevere in solving them.
CCSS.Math.Practice.MP2 Reason abstractly and quantitatively.
CCSS.Math.Practice.MP3 Construct viable arguments and critique the reasoning of others.
CCSS.Math.Practice.MP4 Model with mathematics.
CCSS.Math.Practice.MP5 Use appropriate tools strategically.
CCSS.Math.Practice.MP6 Attend to precision.
CCSS.Math.Practice.MP7 Look for and make use of structure.
CCSS.Math.Practice.MP8 Look for and express regularity in repeated reasoning.
CCSS.Math.Content.6.RP.A.1
Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. For example, "The ratio of wings to beaks in the bird house at the zoo was 2:1, because for every 2 wings there was 1 beak." "For every vote candidate A received, candidate C received nearly three votes."
CCSS.Math.Practice.MP2 Reason abstractly and quantitatively.
CCSS.Math.Practice.MP3 Construct viable arguments and critique the reasoning of others.
CCSS.Math.Practice.MP4 Model with mathematics.
CCSS.Math.Practice.MP5 Use appropriate tools strategically.
CCSS.Math.Practice.MP6 Attend to precision.
CCSS.Math.Practice.MP7 Look for and make use of structure.
CCSS.Math.Practice.MP8 Look for and express regularity in repeated reasoning.
CCSS.Math.Content.6.RP.A.1
Understand the concept of a ratio and use ratio language to describe a ratio relationship between two quantities. For example, "The ratio of wings to beaks in the bird house at the zoo was 2:1, because for every 2 wings there was 1 beak." "For every vote candidate A received, candidate C received nearly three votes."