Lesson 5.6: Using Similar Figures was introduced, modeled, and practiced. This lesson focused on indirect measures to calculate the unknown length of a distance for similar figures. The question below reflects the type of question/skill worked on in class.
P.O.N. 12.04.14
Brodie loves two things in life: Minecraft and sports. Using his 10,000 sq foot backyard, he contracted Steve to build him a 9m x 18m volleyball court and a pool that had a length of 50m. The volleyball court and Olympic-sized pool were similar in that they were both rectangular shaped. Find the width of the pool.
Answer to P.O.N. 12.03.14
The height of the tree is 33.3 feet. I saw that with Marc, we had a ratio comparing his height to the length of his shadow. With the tree, we just new the length of the shadow that it cast and not its actual height. Taking this information, my proportion was 5/3 = h/20 with h being the unknown height of the tree. Using cross products, I ended up with the algebraic equation of 100 = 3h. To undo the multiplication I divided both sides by 3 and came up with an answer of 33.3 feet tall. - understand the concept of a ratio.
- use ratio language to describe a ratio relationship between two quantities.
For Evening Practice, the student is expected to...
- complete page 24 and 25.
The width of the pool is 133.3meters. I got this because I set up a proportion of 9 over 18 and 50 over m.Then I cross multiply and get 9x=1200, then I divide both sides by nine because I want to find the value of one x.1200/9=133.3 , so the width of the pool is 133.3meters.
ReplyDeleteThe width of the the pool is 100 square feet. I got my answer by knowing that the volleyball court was a 9m by 18m and that the length of the pool is 50m. We don't know the width of the pool and that is what we are solving for. What we can do, is make this into a proportion. We can make it 9m/18m=50m/x. Now to make the multiplication and division easy we can simplify 9m/18m to 1m/2m. Are problem now looks like 1m/2m=50m/x. Now we do cross multiplication. 50m times 2m equals 100m and 1 times "x" equals 1"x". To figure out what "x" equals you have to do the opposite of what the problem says. In this case It says to multiply so we are going to divide. You divide 100 by 1 and you would get 100m.
ReplyDeleteKnickalish