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22 Dec 2005 - 19:21
what do you think of these tests?New York state Sample Test Mathematics Grade 6 Book 1 (pdf file) New York state Sample Test Mathematics Grade 6 Book 2 (pdf file) I haven't looked through them yet, but I trust your opinion more than mine. boy Already, on page 6, I'm having doubts about how well Christopher will do. His super-duper, accelerated Phase 4 Math Class has ZERO word problems. I'll see if he can do this problem tonight, but I'd put money on it that he can't. And he's just finished the chapter on fractions. We're going to have to get back to the bar models big-time. Obviously I'm going to have to print out these tests, and start seeing to it he can do the problems. This is just great. Now I'm going to be teaching to the test.
This is the kind of problem bar models were invented to solve. update: Christopher can do this problem He did it in no time flat. I was shocked. Ed said he could do it, and he was right. Ed remembers the two of us working on these problems in Saxon Math. In fact, he remembers us working on these problems a lot. I must have been in a trance at the time (a math trance!) because I have no recollection of teaching Christopher how to do such problems. Have I mentioned that cortisol is bad for your memory? Well, it is. Cortisol is a stress hormone, and I've been pumping out a lot of stress hormones ever since I discovered that: a) Christopher was flunking 4th grade math b) U.S. students are 1 to 2 years behind their peers in high-achieving countries c) the only children in Irvington who are on grade level with their peers in high-achieving countries are the so-called gifted children in Phase 4 Math d) Irvington was adopting TRAILBLAZERS update: what Singapore children can do at the end of 6th grade Here's the placement test (not a pdf file) for New Elementary Mathematics 1, which is the 7th grade book in the 'Singapore Math' series. [note: If these links are bad, go to singaporemath.com and search for placement tests and New Elementary Math.] Here's a fun question: ![]() I always loved this kind of thing. And—I can still solve one. (At least, I can still solve one if, while copying the problem onto a nice, crisp, clean, brand-new piece of scratch paper, I write '1/12' as '1/12,' not '1/2.') That's good news, especially seeing as how I have never in my life attempted to solve—or been taught to solve—a problem like this one: ![]() a) A hole with a diameter of 3.5 cm is drilled through a square metal nut of thickness 4 cm and length 6 cm. What is the mass of this nut if the density of the metal is 6 g/cm3? (Take pi = 22/7) b) What is the surface area? word problems Singapore children can do at the end of 7th grade 3. The HCF (highest common factor) and LCM (lowest common multiple) of 2 numbers are 8 and 408 respectively. If one of the numbers is 24, find the other number. 4. 6 men, working together, can finish a job in 2 h 20 min. If 3 men leave after one hour, how long will it take the remaining men to complete the job? 5. John spent $4 less than 60% of his money on a book and $3 more than 75% of his remaining money on another book. He still has $2 left. What percentage of his original money did he spend? 8. How many liters of 60% acid solution must be mixed with a 75% acid solution to get 20 liters of a 72% solution? 9. A man bought 450 books for $1,350. He sold half of them at a profit of 20%, 150 of them at a profit of 10%, and the rest at a loss of 4%. What was his gain percent, to the nearest percent? 13. A man has just enough money to buy 60 apples or 40 oranges. If he wants to buy an equal number of apples and oranges, how many of each type can he buy with the money? 16. Water flows at 4.5 m per second through a pipe. The water is collected in an empty cylindrical tank of an internal diameter 10 times the internal diameter of the pipe. Find the height of the water after 2 minutes. word problems some New York state children can do at the end of 7th grade 26. On Friday and Saturday, there were a total of 200 cars in the parking lot of a movie theater. On Friday, 120 cars were in the parking lot. Part A What percent of the total number of cars were in the parking lot on Friday? Show your work. Part B What percent of the total number of cars were in the parking lot on Saturday? Show your work. 28. Mr. Roberts asked his students to solve the three equations below. 784 ÷ 2 = 125 x 6 = 14 x 28 = Which equations have the same solution? Show your work. 31. Simplify the expression below. 6 x 4 ÷ 2 + 33 Show your work. ![]() NY State Grade 6 multiple choice questions ![]() ![]() ![]() forget I asked I obviously didn't need a professional opinion on the level of math achievement being tested here. I wonder how many New York state kids score 3s and 4s? I'll see if I can track that information down quickly. I'm going to give Christopher both of these tests, and see where we are now. Back to main page. CommentsAfter entering a comment, users can login anonymously as KtmGuest (password: guest) when prompted.Please consider registering as a regular user. Look here for syntax help. Question 12 on the first test: "Tyree's solution for a division equation is 18. Which equation could Tyree have solved?" That would depend on Tyree, now wouldn't it? If I've learned anything from reading math-teacher blogs, I've learned that on any given question, any given student, can give any answer at all (given or not). What if there's a real Tyree in the student's class, who's really bad at math? I'd imagine this question would be especially difficult for, say, an autistic child, and it needn't be. Personalizing the question adds nothing of value. -- DougSundseth - 22 Dec 2005 I'd imagine this question would be especially difficult for, say, an autistic child, and it needn't be. Personalizing the question adds nothing of value. Yeah! We're making an autism advocate of you. :-) -- CarolynJohnston - 22 Dec 2005 8-) Beyond the fact that this is unnecessarily problematic for a part of the target population, this is the sort of argument that is very hard for a certain type of person to argue with. Using it is tactically sound. -- DougSundseth - 22 Dec 2005 I'd imagine this question would be especially difficult for, say, an autistic child, and it needn't be. Personalizing the question adds nothing of value good grief well, i guess it's a Good Thing, as Martha Stewart used to say, back before she went to jail, that we're taking perfectly normal human beings and causing them to ask themselves things like, 'What would an autistic student make of this question?' -- CatherineJohnson - 22 Dec 2005 this is the sort of argument that is very hard for a certain type of person to argue with I'm going to remember that. -- CatherineJohnson - 22 Dec 2005 Ed says, 'You worked on that in Saxon a lot.' I have no memory of this. I'm losing my mind. -- CatherineJohnson - 23 Dec 2005 In any case, Christopher can do this problem. I'm going to give him the whole test and see what he does. -- CatherineJohnson - 23 Dec 2005 Problem 18 of the first test is horribly worded. Carmen put new tile on 1/4 of her bathroom floor. She then put new carpet on 5/8 of another section of the same floor. What fraction of the bathroom floor is covered with new tile and new carpet? It doesn't say that the carpet goes on 5/8 of the floor. It says that the carpet goes on 5/8 of some other section of the floor. That section could be as much as 3/4 of the floor (i.e. that part which is not covered by the new tile) or as little as you want. So, it's impossible to solve. What they apparently meant to say was that "She then put new carpet on another 5/8 of the floor." They put that "another section" business in there to clarify that the carpet did not overlap the new tile. But they incorrectly apply the fraction 5/8 to this new section, not to the bathroom floor. Why can't they just use numbers to formulate a problem in adding fractions? Why do we need it to be a real world story problem? Ugh! -- DanK - 23 Dec 2005 Actually, as I re-read Problem 18 and apply logic, I see that none of the bathroom floor is covered with "new tile and new carpet." Some of it is covered with new tile, and some of it is covered with new carpet, but none of it is covered with new tile AND new carpet. They should have asked what fraction of the floor is covered with either new tile or new carpet. -- DanK - 23 Dec 2005 I was just about to post a complaint about problem 18, but Dan beat me to it. Whoever put this problem set together was being sloppy. Hope it wasn't the NYS regents. -- CarolynJohnston - 23 Dec 2005 It looks as though this test comes from the NYS Dept of Education -- that is to say, the NYS Regents. Sigh. They just don't make NYS Regents like they used to. My pdf reader thinks that second test is entirely black; did this happen to anyone else? -- CarolynJohnston - 23 Dec 2005 It doesn't say that the carpet goes on 5/8 of the floor. It says that the carpet goes on 5/8 of some other section of the floor. That section could be as much as 3/4 of the floor (i.e. that part which is not covered by the new tile) or as little as you want. So, it's impossible to solve. oh boy, what a mess -- CatherineJohnson - 23 Dec 2005 My pdf reader thinks that second test is entirely black; did this happen to anyone else? I'll take a look. -- CatherineJohnson - 23 Dec 2005 Is this test too easy for 6th graders? I need to put the Singapore placement test side by side with this test. -- CatherineJohnson - 23 Dec 2005 I have 25 questions on the first test; no black-outs. I'll check the second one. -- CatherineJohnson - 23 Dec 2005 34 questions in Book 2; lots of 'show your work.' -- CatherineJohnson - 23 Dec 2005 One point as to the first booklet: no two step solutions -- KDeRosa - 23 Dec 2005 One point as to the first booklet: no two step solutions goodness, I can't believe that didn't pop out at me immediately Singapore kids are doing two-step problems.....in second grade? (Is that right?) 3rd grade for sure. That's another thing. Instead of creating 2-step problems, we create pretend-hard problems by writing 1-step problems in pretentious prose. boy it just gets worse and worse, the closer you look at it -- CatherineJohnson - 23 Dec 2005 And I don't consider adding up a bunch of numbers to get a total for determining a probability or ratio a step unto itself -- KDeRosa - 23 Dec 2005 And I don't consider adding up a bunch of numbers to get a total for determining a probability or ratio a step unto itself At least they added. In TRAILBLAZERS they just count stuff. -- CatherineJohnson - 23 Dec 2005
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