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1) Share one challenge you have faced in the first game.

2) Share one mathematical method/principle you have learnt through this first game.

3) Share one thing you want to know more.

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1) I did not have much ideas on how to win the game. The only idea I can think of was to use memory.

2) For the second game, we can use the sum of 17 to win the game. We don’t need memory to win the game anymore.

3) I want to know who is the smartest person on earth (person with highest IQ).

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1)Thinking of strategies
2) pairs
3)how to solve difficult problem sums

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1.i did not face any challenges.
2.I learnt how to remember the numbers
3.I want to know more methods.

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1. 1 challenge I faced during the game

A challenge I faced during the game is that sometimes I forget what number I said and end up choosing a number that has already been said.

2. Something I learnt

I learnt different strategies to win the game.

3. Something I want to know

New strategies to win the game.

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1) memory loss
2)Sum of 17
3)I want to know who is the best mathematician in the world

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1. 1 thing I have learnt is solving Math problems myself.
2. 1 challenge for me is memory loss.
3. 1 thing I want to know is how to solve my own problems.

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1. One challenge I faced in the first game is that sometimes I forget the numbers that have been said and say it again.

2. Sum of 17

3. I want to know what other strategies there are to win the game.

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1) I have learnt to solve problems with math concepts.

2) I had memory loss.
3) I want to know where you got this from.

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1. Victory is possible without having to use memory.
2. Could not find a method that works with the game.
3. Is there any more possible ways to the game?

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1. A challenge I had in the first game was being able to memorise all the numbers (0-17).
2. I learnt that memory doesn’t always work and we should use methods instead of memorise the numbers.
3. The thing I want to know is that if there are any other methods to the questions we did.

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1) Bad memory

2)Difference of 9

3)I want to know what we are doing next week.

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1.  I couldn’t remember the said numbers by the other player.

2. Difference of 9

3. I want to know which number is not possible to be solved.

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1.Thinking of the right answer
2. Difference of 9
3. More strategies to solve the problem sum

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1. one challenge I have in the first game is remembering the numbers

2. Sum of 17

3. How we can learn without remembering the things

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a) memory difficulties
b) summing up to win
c) What are the other working methods?

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1)Memory
2)Sum of17
3)I want to know where we can practiceE2k Maths

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I learnt new methods to win the game without memory.It was challenging to make perfect ideas. What is happening the next lesson.

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I can’t remember the method
I learnt how some strategies work
I want to know new strategies

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1. I have problems in identifying the methods that my friends said.
2. I have learnt that we can use the 17 sum method to beat the King in the game.
3. I want to know about how did you find the story.

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1. I forgot what number my friend said.
2. Sum of 17.
3. I want to know more methods.

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1) At first , I thought this lesson needed memory but we solve things without memory

2) I have learnt that we can solve a question with many methods

3)Will we have a test?

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2)I had difficulty remembering the numbers in round 2.
1)The difference of 9 method.
3)I want to know if there are a lot a method that could work for any number as long as the type of question is specific.

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1.Think of strategies
2.I could not think of a method that worked
3.A method that always work for "special sums.

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1) Share one method you use to solve the questions.

2) Share one mistake you have made when solving the questions.

3) Share one consideration you had when creating your own questions.

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1. Finding how many parts are there.

2. It was not proportion.

3. Is it proportion

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1. Figuring out possible trios.

2. The models were not proportioned.

3. The alignment of models

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1) Figuring out logical numbers and seeing if they follow rule
number 3.
2) Using illogical numbers accidentally.
3) Using correct numbers.

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1.guess and try
2.none
3.easy

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I tried if the tallest tower can be divided into smaller rectangles.
When I tried question four I did follow law three.
I considered the order of the tower

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Logic

Using the ruler
Proportion

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I think and used common sense
Ruler

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1. I just use my fingers for estimation ☺️

2. I estimated wrongly while doing a question.

3. I tried to trick people by randomly adding addition questions and products and the order of the products and addition at the last questions.

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1) I tried multiplying and adding the height.
2) A mistake I made is adding the height.
3) It was not proportion.

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1)Measure and broke them into small parts.
2) How to solve them in one minute.
3)Trying to remember

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1) I used my brain and think about proportions.
2) I had a lot of calculation mistakes.
3) I made a change of thinking about proportion after the teacher thought me the meaning of it.

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1. I checked if the numbers I chose were proportional and made sense.

2. I wrote down numbers that were not proportional.

3. I did not put the bars in increasing or decreasing order.

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1. I just used a ruler
2. I had a hard time finding out the exact length of the bar
3. I made the towers go down in decreasing order

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1) Dividing the towers and finding the right number
2) Making the numbers proportional
3) Order of towers

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1.I use the proportions first
2. When I make a careless mistake
3.I was considering about the order of the tower

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Gues and try
Thought it was all about proportion
That it will work

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1, I used logical methods.
2, Making sure method three was confident variable
3,I want change difficulty level , shape, size, confusindness, order of item, tricking others and mind calculation.

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1) Measure the bar.
2) One challenge is figuring out on my own.
3) I use my ruler to draw the bar.

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1. I used the method: ?(a number)x2 for Q4, the last question for  Student Worksheet 2.

2. I didn’t count properly sometimes and counted 3 parts or 4 parts (maybe) when there was 5 parts. I also sometimes did not remember the rules and broke it. Sometimes, I also have calculation mistake, which is sometimes careless mistake.

3. I considered the order of the tower, to make it confusing and made it a bit challenging for the person who did it. I also made some trick questions.

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1. Order of towers
2. The numbers that are given
3. The towers are not in order

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1Using ruler
2 Proportions
3.Making towers opposite.

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1) I used proportions
2) I could not decide on a combination
3) The order of the towers

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I tried adding the height together to find out if you could add. Based on the results, I tried addition or multiplication.

A mistake I made is managing to follow the rules. Sometimes, I couldn’t make it make sense according to the towers. Another mistake I made is calculation mistakes.

I had to make the questions hard so I changed the order and/or use trick numbers or trick questions.

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1. I tried out different numbers that could match the proportions of the models and checked if it made sense.

2. I sometimes make calculation errors

3. Not putting the models in increasing orders, rather mixing it up to make it harder.

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1) To measure and compare the bars with a ruler.

2) My method did not work as it was not drawn to scale but I kept on using it.
3) The height of the bars.

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1) Explain the method of logical deduction you have used in today's lesson to identify the digits' position.

2) Other than "Guess and Check" method, name 2 other methods you have learnt for this game?

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1)logical ways in solving
2)using a ruler and proportions

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1.I have used multipication
2.Proportion method and logical method

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Logic
Logic,none

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1. The number will always be even

2. 1)ruler 2)logical deduction

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1) I checked if the numbers were logical and made sense
2) Logical deduction and ruler

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1) I can tell obvious things and eliminate ones that can definitely not fit. The number will always be even. I also learnt about multiplication. We can also use logic ways in solving.

2)1:Proportion method
2:Logical deduction

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1) I learnt that we have to be logical and make sure the numbers make sense

2) Method 1: logical method
Method 2 : deduction method

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1. I would see if the numbers would fit.
2. Logical deduction and Using a ruler.

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First we need to choose which equation is the best.Then reject the numbers which should not be used.Next start from the smallest number and try to find its multiples. At last you will get the answer.

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1) I used multiplication and checked if the numbers made sense.
2) Logical deduction and multiplication

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1)

1. We have to test if each given number is appropriate for each digit.

2)

1. Finding proportion with a ruler

2.logical deduction

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2. Measure the tower
Logical deduction
1. I used guess and check

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1. I thinked normally and used common sense instead of measuring the bar.
2. I thinked logically and measured the bars.

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1.  We first used small multiplication to find harder ones.

2. Measuring and using logical thinking.

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1) I would see if the numbers logically fit in the positions.
2) Logical deduction & Using a ruler.

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1) Use multiplication tables.

2) a) logical deduction
b) measure

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1) I learnt to eliminate options.

2)logical deduction

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1Logical probability.
2. Proportional method and logical method.

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1. I learnt Nothing
2. Logical deduction (It’s so hard I don’t even know how you did it) and using a ruler (which doesn’t Work).

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1. Even times something is always even.

2. Logical method and detection method.

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1.using logical ways to solve a problem
2.using a ruler and measuring by proportions

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1.logic
2. Just use logic, proportion

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Logic
Ruler
Proportion

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I learnt the ruler and proportion method.

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1) What was the thinking routine you applied to solve for the palindromic sequences?

2) What if numbers were not given in the puzzle, how would it change your thinking routine to solve the puzzle?

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1. I thought logically and eliminate impossible numbers
2. It would not be so hard as we can choose numbers to put in the boxes and there would be more possible answers

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1. When there is an even number, the given number that is either at 5 or 6 will be the same number. (The others also work)
2. I would put in random numbers and then I will try and see if it works.

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1 Thinking logically and eliminate impossible numbers.
2  I would not think too far and think logically.

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Q1: The thinking routine I applied to solve for the the palindromic sequences was eliminating the impossible numbers and apply a logical thinking by putting the easy answers first. Then, maybe the easy answers will be a clue for the hard questions.

Q2: There may be more then one answer. It will be easier as we can put all the same numbers or choose our own answer.

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1. I was looking at the number they gave us and how to make use of it so I was using the logical method.
2. The problems would be easier and we can write or start with first number

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1. Find the even number before finding the odd number
2. It would be easier than the original puzzle as People can just use the same number all the time

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1.the first number is the same as the last number.
2.it will not be hard as you can just put the same numbers in all the boxes.

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1. I looked at the number at the start of end of the number, and add the number on the start and the end, and find clues to put the numbers together.
2. I will look about the addition from the horizontal or vertical 2 block (if have) and will join the numbers together using the clues from the addition to complete the question.

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1. I find the number and try to fit it somewhere.

2. There could still be numbers that show the sum of the row or column thus making it possible so I can find the numbers in a 2 square row or column with the sum beside it.

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1. Logical method , by using numbers and making numbers on each side be the same number
2.Logical method and odd, even method

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1. The mirror method is what I applied to solve for the palindromic sequences.

2. If the numbers were not given, it would change my method by not having numbers to put.

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1.I used logic thinking.

2.I would try every possible answer.

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1) I used the logical method which is making use of the numbers given and eliminated impossible numbers.
2) I would put the same number for everything

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I used logic to solve the palindromic sequence like  the first number and the last number are the same.

I will try to write some of the numbers by my own using logic.

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1) The start number must be the same as the end number
to make it Palindromic

2) I would just put any number at one end and put the same number on the other end. It would also be easier to solve

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1) I Eliminate impossible numbers
2) I it is not hard for me

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1Use the given number as a clue and solved numbers on the “puzzle” as a clue as well.
2Fill all the same number if there are no restrictions at all and  use the given sums of numbers if they are given as clues .

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1) I wrote the numbers based on its opposite side(if it was a number at the ends)
2) I would have to use logical thinking to get the right numbers.

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1. Eliminate the impossible numbers.

2. I would think in a logical way.

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1. Doing the numbers with even boxes

2. If there is no numbers I would use some random numbers and try to make the number

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I used logical reasoning and eliminated all impossible numbers to solve the problem.

If there was no numbers in the problem, there would be many possible answers and the problem would be even easier to solve.
I would just start with any number at a corner and slowly work my way to figure out the problem and solve it.

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1. Eliminate impossible numbers to find the correct numeral.

2. If the numbers were not given, It would mean that the number is wrong.

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Eliminating impossible numbers
Logical reasoning

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1) List down the first 10 prime numbers.

2) How did you make use of the prime factors to figure out all the possible ways where the product of 2 or 3 factors are the same?

3) "The Smart Girl) uses the concept of factorisation. What do you think "The Smart Girl" is about?