14:00 The answer may also be 84 or PROBABLY THE BETTER ANSWER THAN 124. Otherwise, what is the purpose of the days if you can get the final answer just by looking at the number sequence only. The TENS DIGIT of the number corresponds to the number of letters of the Day. Monday has 6 letters, Tuesday has 7 letters, Wednesday has 9 letters and finally Thursday has 8 letters.
The pattern I saw for the hexagon dots was Number of dots per side = (Total number of dots ÷ 6, since it's a hexagon, ) plus 1 So for 1st hexagon, s = d/6 +1 s = 6/6 +1 = 1+1 = 2 is true s = 12/6 +1 = 2+1 = 3 also true. s = 18/6 +1 = 3+1 = 4 also true 5 = d/6 + 1 d = (5-1) × 6 = 4 × 6 = 24 is true Therefore... For hexagon with 42 total dots: s = 42 ÷ 6 + 1 s = 7 + 1 = 8 dots per side. And for hexagon with 300 total dots: s = 300/6 +1 s = 50 + 1 = 51 dots per side.
How about if the problems are; 1.) In celebration of their own fiesta, the Barangay Council of Barangay Matulungin is sponsoring a basketball tournament consisting of 6 teams. Each team plays each of the other teams exactly once. How many games will be played? 2.) How many children are there in a family wherein each girl has as many brothers as sisters but each boy has twice as many sisters as brothers? 3.) Four people on one side of a river in a boat that can carry a maximum load of 180 pounds. The weights of the people are 100, 80, 150 and 170 pounds. a.) Explain how the people can use the boat to get everyone to the opposite side of the river. b.) What is the maximum number of crossings that must be made by the boat. Please help me how to solve these problems using Polya's problem solving process 🥺😊
In no. 1, the first team will play against 5 different teams (excluding itself). The second will play against 4 different teams (as the game against the first team had already been played). The third will play against 3. Using the pattern thus far observed, we can guess that this rule will hold true for all such cases and that the sixth team will have no games left to play, which means that the total number of games played will be 5+4+3+2+1 = 16. In no. 2, the total number of siblings is x + y, with x standing for boys and y for girls. We know that the number of boys is equal to every brother a boy has plus himself, or (a+1)x, which is equal to 2ay. The total number of girls is equal to every sister a girl has plus herself, or (b+1)y which is equal to bx. This gives us the equations (a+1)x = 2ay bx = (b+1)y We can equal them to each other and say that (a+1)x = bx and that 2ay = (b+1)y. Therefore, 2a = b+1, or 2a-1 = b. a+1 = b, so if we equal a to a, we will see that 2a-1 = a+1, or 2a-a = 1+1, or a = 2. Then, we can see that 2(2) = 4 = b. This means that the total number of boys is (a+1) = 3 and that the total number of girls is (b+1) = 5. In the third problem, we can simply check which weights (or combinations of weights) are lower than or equal to 180. 180 = 100 + 80, and is lower than 150 + 80 and to 170 + 80, so the 100lb person and the 80 lb person can go together, but the 150lb person and the 170 pound person will have to wait for the boat to come back for them and pick them up individually, which means it would go forth 3 times and come back twice (but maximum 4 times forth and 3 back, if we were to assume a worst-case scenario in which nobody wants to ride next to anybody else). I am not certain of any of this, and I wouldn't be surprised if I made a mistake in every single answer I came up with these, but it should show you how stating things formally, noticing patterns, and narrowing down possible options can help you figure out how to answer a word problem, but then again, I can't magically transmit my reasoning abilities to you, so even if I know how to do something and I show you how to do it, you might not necessarily be able to recreate the exact same reasoning process on your own once you face a different set of problems by yourself.
Each line shares a dot with the one behind it. When counting the number of dots in a hexagon, you start with 0, then add n (the number of dots in the first line), subtract 1 (taking into account the one you already counted in the previous line), and repeat adding n and subtracting 1 until you've got them all. Since there are 6 lines in every single hexagon, you will have to add (n - 1) 6 times, or multiply 6*(n-1). If you already know the total number of dots in the hexagon and want to know the number of dots, you'll have to work your way backwards by dividing by 6, and instead of subtracting, add 1.
IF YOU WANT TO TEACH BE CLARIFY YOUR EXAMPLE AND SOLUTION LIKE INTO LOOK FOR A PATTER THE PROBLEM IS HOW ABOUT A HEXAGON WITH 300 DOTS? YOUR ANSWERS IS NOT CLARIFY BECAUSE YOU SAY USING THE ALGEBRA SKILL S IS EQUAL 51 WHERE'S YOUR SOLUTION YOU DIDN'T CLARIFY TO GET THAT ANSWER DON'T SHORT CUT YOUR ANSWER THAT WHY SOMETIME HAVE A MATHEMATICAL ERROR. EXAPLAIN IT COMPLETELY YOUR FORMULA TO GET THE CORRECT ANSWER DON'T YOU A SHORT CUTS.
Just watching the video and same question hindi ko ma gets paano nakuha ang answer to get the number of Dots na S-8 and S-51.Hope ma explain ni Sir Ram.🙂
42=6(s-1) 42=(6*s-6*1) distributive property 42=6s-6 42+6=6s-6+6 addition property 48=6s 48/6=6s/6 multiplicative inverse 8=s (this is the long method) 300=6(s-1) 300/6=6(s-1)/6 multiplicative inverse 50=s-1 50+1=s-1+1 addition property 51=s you can use any method
Hello sir. Tanong ko lng po sa pinakaunang example niyo gamit yung mga shapes, pwede bang maging example yun ng "solve a simpler problem strategy" yun? Sana masagot and mapansin niyo po need ko lng po kasi. Thank you po.
Kai has pigs and chickens in his farmyard. He observed that there are twice as many hens as pigs, and if you add the total number of heads to the total number of legs, you get 154. How many pigs are there in Kai’s farmyard? sir pahelp
14:00 The answer may also be 84 or PROBABLY THE BETTER ANSWER THAN 124. Otherwise, what is the purpose of the days if you can get the final answer just by looking at the number sequence only. The TENS DIGIT of the number corresponds to the number of letters of the Day. Monday has 6 letters, Tuesday has 7 letters, Wednesday has 9 letters and finally Thursday has 8 letters.
I was thinking the same thing lol
Same
The pattern I saw for the hexagon dots was
Number of dots per side = (Total number of dots ÷ 6, since it's a hexagon, ) plus 1
So for 1st hexagon,
s = d/6 +1
s = 6/6 +1 = 1+1 = 2 is true
s = 12/6 +1 = 2+1 = 3 also true.
s = 18/6 +1 = 3+1 = 4 also true
5 = d/6 + 1
d = (5-1) × 6 = 4 × 6 = 24 is true
Therefore...
For hexagon with 42 total dots:
s = 42 ÷ 6 + 1
s = 7 + 1 = 8 dots per side.
And for hexagon with 300 total dots:
s = 300/6 +1
s = 50 + 1 = 51 dots per side.
S1: Understand the problem
S2: Devise a plan
S3: Carry out the plan
S4: Look Back
Thanks 😉
nganong na 51 mana 😭😭😭 17:55
Thank you sir.
How about if the problems are;
1.) In celebration of their own fiesta, the Barangay Council of Barangay Matulungin is sponsoring a basketball tournament consisting of 6 teams. Each team plays each of the other teams exactly once. How many games will be played?
2.) How many children are there in a family wherein each girl has as many brothers as sisters but each boy has twice as many sisters as brothers?
3.) Four people on one side of a river in a boat that can carry a maximum load of 180 pounds. The weights of the people are 100, 80, 150 and 170 pounds.
a.) Explain how the people can use the boat to get everyone to the opposite side of the river.
b.) What is the maximum number of crossings that must be made by the boat.
Please help me how to solve these problems using Polya's problem solving process 🥺😊
In no. 1, the first team will play against 5 different teams (excluding itself). The second will play against 4 different teams (as the game against the first team had already been played). The third will play against 3. Using the pattern thus far observed, we can guess that this rule will hold true for all such cases and that the sixth team will have no games left to play, which means that the total number of games played will be 5+4+3+2+1 = 16.
In no. 2, the total number of siblings is x + y, with x standing for boys and y for girls. We know that the number of boys is equal to every brother a boy has plus himself, or (a+1)x, which is equal to 2ay. The total number of girls is equal to every sister a girl has plus herself, or (b+1)y which is equal to bx.
This gives us the equations
(a+1)x = 2ay
bx = (b+1)y
We can equal them to each other and say that (a+1)x = bx and that 2ay = (b+1)y. Therefore, 2a = b+1, or 2a-1 = b. a+1 = b, so if we equal a to a, we will see that 2a-1 = a+1, or 2a-a = 1+1, or a = 2. Then, we can see that 2(2) = 4 = b.
This means that the total number of boys is (a+1) = 3 and that the total number of girls is (b+1) = 5.
In the third problem, we can simply check which weights (or combinations of weights) are lower than or equal to 180. 180 = 100 + 80, and is lower than 150 + 80 and to 170 + 80, so the 100lb person and the 80 lb person can go together, but the 150lb person and the 170 pound person will have to wait for the boat to come back for them and pick them up individually, which means it would go forth 3 times and come back twice (but maximum 4 times forth and 3 back, if we were to assume a worst-case scenario in which nobody wants to ride next to anybody else).
I am not certain of any of this, and I wouldn't be surprised if I made a mistake in every single answer I came up with these, but it should show you how stating things formally, noticing patterns, and narrowing down possible options can help you figure out how to answer a word problem, but then again, I can't magically transmit my reasoning abilities to you, so even if I know how to do something and I show you how to do it, you might not necessarily be able to recreate the exact same reasoning process on your own once you face a different set of problems by yourself.
Excuse me? how did you get the s = 51? in 17:55mins
Each line shares a dot with the one behind it. When counting the number of dots in a hexagon, you start with 0, then add n (the number of dots in the first line), subtract 1 (taking into account the one you already counted in the previous line), and repeat adding n and subtracting 1 until you've got them all. Since there are 6 lines in every single hexagon, you will have to add (n - 1) 6 times, or multiply 6*(n-1). If you already know the total number of dots in the hexagon and want to know the number of dots, you'll have to work your way backwards by dividing by 6, and instead of subtracting, add 1.
17:51 pano po malalaman yung S?
galing mo po
IF YOU WANT TO TEACH BE CLARIFY YOUR EXAMPLE AND SOLUTION LIKE INTO LOOK FOR A PATTER THE PROBLEM IS HOW ABOUT A HEXAGON WITH 300 DOTS? YOUR ANSWERS IS NOT CLARIFY BECAUSE YOU SAY USING THE ALGEBRA SKILL S IS EQUAL 51 WHERE'S YOUR SOLUTION YOU DIDN'T CLARIFY TO GET THAT ANSWER DON'T SHORT CUT YOUR ANSWER THAT WHY SOMETIME HAVE A MATHEMATICAL ERROR. EXAPLAIN IT COMPLETELY YOUR FORMULA TO GET THE CORRECT ANSWER DON'T YOU A SHORT CUTS.
More lesson pa po sir
i'm sorry pero pano po nakuha yung s = 8 and s = 51. di ko po nagets
actually S- 7 dapat Kasi 6x7 is 42 diko gets kung PANO nakuha ung S 51
By following algebra
42 = 6 (s-1)
42 = 6s -6
6+42 = 6s -6 +6
48/6 = 6s/6
8 = s
Same to the second one
sir i'm sorry but may i ask again why lolita is the treasurer?
d ko gets hehe 5:00
Pahelp sir
a hat and jacket cost 150 the jacket cost more than half the price of the hat what are the cost of jacket and hat
Sir instead of 51 diba may minus 1 papo so dapat 49?😅im confused po
Just watching the video and same question hindi ko ma gets paano nakuha ang answer to get the number of Dots na S-8 and S-51.Hope ma explain ni Sir Ram.🙂
If s=8 it will become 8×6=46 but the given is 42. D/6=× would be better I guess. I'm so confused too😁. BTW how would it be?
42=6(s-1)
42=(6*s-6*1) distributive property
42=6s-6
42+6=6s-6+6 addition property
48=6s
48/6=6s/6 multiplicative inverse
8=s (this is the long method)
300=6(s-1)
300/6=6(s-1)/6 multiplicative inverse
50=s-1
50+1=s-1+1 addition property
51=s
you can use any method
Meron ka po bang Ken Ken Puzzle na topic
Sir di ko gets sa t+3c=18
t=10 c=4 since C is 2 = 8 kaya (t=10+2C=8) the answer is 18
Hello sir. Tanong ko lng po sa pinakaunang example niyo gamit yung mga shapes, pwede bang maging example yun ng "solve a simpler problem strategy" yun? Sana masagot and mapansin niyo po need ko lng po kasi. Thank you po.
Kai has pigs and chickens in his farmyard. He observed that there are twice as many hens as pigs, and if you add the total number of heads to the total number of legs, you get 154. How many pigs are there in Kai’s farmyard? sir pahelp