Table Method 3 - Before and After Table

Reply to Table Method 3 - Before and After Table on Mon, 26 Mar 2018 05:20:54 GMT

Khong Pek Mao — Mon, 26 Mar 2018 05:20:54 GMT

Lesson 4 - Before After Number

In the last lesson, we learned about how to form an equation when the problem sums stated that the After are equal.

In some problem sums, a Key Number may be given.
This number may be a part, a total, or a difference.

Let's look at them one by one.

1) Number as a Part

Let's look at this example.

https://s9.postimg.org/mpuudtv2n/20180326_123916-1.jpg\">

First we visualise it as a picture.

https://s9.postimg.org/igq4bpp9b/20180326_124011-1.jpg\">

We shall put the information into the Table.

Since the problem sum stated that Ben has 30 marbles, we shall put this Key Number 30 into the table.

https://s9.postimg.org/hsh9sal9b/20180326_123916-2-1.jpg\">

We shall form a Part equation and solve it.

https://s9.postimg.org/z5rk77tfz/20180326_123916-2-2.jpg\">

So we should take note of the Key Number given in the problem sums.

Let's try the following problem sums.

Ratio Start

https://s9.postimg.org/v9e8be0sf/20180326_124626-1.jpg\">

https://s9.postimg.org/gq739yzxr/20180326_124635-1.jpg\">

Comparison Start

https://s9.postimg.org/louloiqvz/20180326_124641-1.jpg\">

https://s9.postimg.org/3m1ixanbj/20180326_124650-1.jpg\">

Complement Start

https://s9.postimg.org/jx1mtn2e7/20180326_124657-1.jpg\">

https://s9.postimg.org/3ysx3hsqn/20180326_124702-1.jpg\">

2) Number as Total

In some problem sums, the Key Number may be Total. We shall add the Afters to get a Total.

Let's look at this example.

https://s9.postimg.org/ovp58avy7/20180326_125319-1.jpg\">

We may visualise it as a picture.

https://s9.postimg.org/5133m9grj/20180326_125221-1.jpg\">

We shall put the information into the Table.

https://s9.postimg.org/wboeu8ou7/20180326_125319-2.jpg\">

Since the Key Number given is a Total, we shall add the Afters.

We shall then form the Total equation and solve it.

https://s9.postimg.org/mseq08qvz/20180326_125319-3.jpg\">

Let's try some problem sums.

Ratio Start

https://s9.postimg.org/iw1e4gg8v/20180326_130236-1.jpg\">

https://s9.postimg.org/ezo28gftr/20180326_130241-1.jpg\">

Comparison Start

https://s9.postimg.org/tvmlg4yz3/20180326_130247-1.jpg\">

https://s9.postimg.org/ldd5bskqn/20180326_130253-1.jpg\">

3) Number as Difference

In some problem sums, one After may be more than the other. The Key Number given is the Difference between the 2 Afters.

Let's look at this example.

https://s9.postimg.org/4cu93c573/20180326_130902-1.jpg\">

We can visualise it as a picture.

https://s9.postimg.org/402ux6pi7/20180326_130856-1.jpg\">

Since Jerry is lesser than Tom, we shall put the Number at his row.

https://s9.postimg.org/dlwfczo8f/20180326_130902-2.jpg\">

We shall put the bigger After on the Left side of the equation, and the smaller After on the Right side on the equation plus the Key Number.

https://s9.postimg.org/twwj9eg6n/20180326_130902-3.jpg\">

Let's try the following problem sums.

Ratio Start

https://s9.postimg.org/q0j7dlaof/20180326_131453-1.jpg\">

https://s9.postimg.org/uz6ps46rj/20180326_131458-1.jpg\">

Complement Start

https://s9.postimg.org/pnrt7fn9r/20180326_131506-1.jpg\">

https://s9.postimg.org/41csqegzj/20180326_131514-1.jpg\">

In this lesson, we have learned how to solve problem sums with Key Number given.

In the next lesson, we shall learned how to solve problem sums with Ratio at the After.

Please send in your comment on any of the modules you have read.

Reply to Table Method 3 - Before and After Table on Mon, 19 Mar 2018 03:43:14 GMT

Khong Pek Mao — Mon, 19 Mar 2018 03:43:14 GMT

Lesson 3 - Equal Concept

In every problem, we shall form an equation and solve 1u.

Then we shall find what is required by the question.

To form an equation, we shall use the Equal concept.

There are 5 ways we can start to set up a table, Number, Equal, Ratio, Comparison and Complement

1) Number

Let's look at this example.

https://s10.postimg.org/xvh0218ux/20180319_110116-1.jpg\">

This is a typical inter transfer question. As picture it looks like this.

https://s10.postimg.org/au0ewc6nd/20180319_110249-1.jpg\">

We shall put these information into the table.

https://s10.postimg.org/5vcwhv809/20180319_110116-2.jpg\">

Applying the Equal concept, we shall equate the 2 Afters.

https://s10.postimg.org/ltlm814t5/20180319_110116-3.jpg\">

Easy? Let's try some problem sums.

https://s10.postimg.org/6yx0tdxnt/20180319_110636-1.jpg\">

https://s10.postimg.org/v2nsho8ex/20180319_110642-1.jpg\">

https://s10.postimg.org/luvk0ytmx/20180319_110648-1.jpg\">

https://s10.postimg.org/cabxe2wl5/20180319_110655-1.jpg\">

2) The Equal or Ratio Start

When the two items are equal at first, we shall start as 1u for both items.

When the two items are in Ratio at first, we shall start the two items as Ratio units.

Let's first look at this example.

https://s10.postimg.org/ernolhlo9/20180319_111104-1.jpg\">

In picture, it looks like this.

https://s10.postimg.org/u0dlzaa7t/20180319_111158-1.jpg\">

Now we shall put them into the table.

https://s10.postimg.org/kftzcf0bd/20180319_111104-2.jpg\">

Since the Afters are equal, we shall form an equation and solve for 1u.

https://s10.postimg.org/7boezrik9/20180319_111104-3.jpg\">

Easy. Let's try some problem sums.

https://s10.postimg.org/ib9mbg909/20180319_111515-1.jpg\">

https://s10.postimg.org/pehhr26q1/20180319_111523-1.jpg\">

https://s10.postimg.org/cn3bkjp89/20180319_111529-1.jpg\">

https://s10.postimg.org/zbsik3yw9/20180319_111641-1.jpg\">

3) The Comparison Start

When an item is in comaprison with another, we shall start in comparison.

This is different from the school comparison method as described in lesson 2.

We have enough information to fill the table.

Let's see this example.

https://s10.postimg.org/qtj2fvfjt/20180319_112018-1.jpg\">

In picture, it looks like this.

https://s10.postimg.org/oc7b8mqih/20180319_112102-1.jpg\">

Let's put the information into the table, and solve it.

https://s10.postimg.org/3s2ha65mh/20180319_112018-2.jpg\">

Ready for some problem sums?

https://s10.postimg.org/706ymprqx/20180319_112357-1.jpg\">

https://s10.postimg.org/706ympk15/20180319_112403-1.jpg\">

https://s10.postimg.org/ajswcif15/20180319_112409-1.jpg\">

https://s10.postimg.org/hn0rs4cqx/20180319_112415-1.jpg\">

4) The Complement Start

When the Total of both items is given, we shall start with Complement method.

What is Complement?

There 10 apples on the table, Adam took 3 apples.
How many apples are left on the table?

7 apples, because 10 - 3 = 7.

So if Adam took 1u, 10 - 1u will be left.

Let's look at this example.

https://s10.postimg.org/s9ukxqft5/20180319_113001-1.jpg\">

In picture, it looks like this.

https://s10.postimg.org/j22ch2bbt/20180319_112942-1.jpg\">

When Tom has 1u, Henry will have the remaining 50 - 1u.

Let's put it in the table and solve it.

https://s10.postimg.org/eg688rfix/20180319_113001-2.jpg\">

Let's do some problem sums.

https://s10.postimg.org/706yn27a1/20180319_113353-1.jpg\">

https://s10.postimg.org/g7z73r6mh/20180319_113359-1.jpg\">

https://s10.postimg.org/x8i3cfby1/20180319_113404-1.jpg\">

https://s10.postimg.org/mloa6zw2x/20180319_113409-1.jpg\">

In conclusion, we have learnt how to start a problem sum in 1 of the 5 ways.

We have learnt how to use the Equal Concept to form an Equation.

In the next lesson, we shall look at problems with unequal Afters.

Reply to Table Method 3 - Before and After Table on Sun, 11 Mar 2018 03:17:38 GMT

Khong Pek Mao — Sun, 11 Mar 2018 03:17:38 GMT

Lesson 2 - Comparison Concept

In Heuristic problem solving, there is one part is to test on the Equal Comparison Concept.

1) When there is an equal transfer, the Difference between Before and that betweeen After remain unchanged.

2) When there are transfers and end up with Equal After, the Difference between Before and that between Transfers remain unchanged.

Let's look at Equal transfer.

When there are Equal transfer, the Difference in Before is the same as Difference in After.

https://s18.postimg.org/fgda7s5eh/20180311_105035-1.jpg\">

We can visualise this as follow.

https://s18.postimg.org/dbsx6pqx5/20180311_105214-1.jpg\">

When the transfers are equal, the Difference in Before is equal to the Difference in After.

This is how we solve using the Table method.

https://s18.postimg.org/6y3u3h96h/20180311_105035-2.jpg\">

Now let's try these problem sums.

https://s18.postimg.org/qspvpogp5/20180311_105632-1.jpg\">

https://s18.postimg.org/fgda7w0ah/20180311_105638-1.jpg\">

https://s18.postimg.org/mwcjtoga1/20180311_105642-1.jpg\">

https://s18.postimg.org/3r9ajwtw9/20180311_105648-1.jpg\">

Now let's look at Equal After.

When there are some transfer to end up with equal After, the Difference in Before is the same as Difference in Transfer.

Look at the following example.

https://s18.postimg.org/440oqd73t/20180311_110225-1.jpg\">

This is how we visualise it.

https://s18.postimg.org/r5h9w4twp/20180311_110334-1.jpg\">

This is how we solve using the Table method.

https://s18.postimg.org/7av8a19k9/20180311_110225-2.jpg\">

Now let's try the following problem sums.

https://s18.postimg.org/iagflohzt/20180311_110648-1.jpg\">

https://s18.postimg.org/9fflb5lhl/20180311_110654-1.jpg\">

https://s18.postimg.org/bwrcifktl/20180311_110659-1.jpg\">

https://s18.postimg.org/68l1ritbt/20180311_110706-1.jpg\">

In these problem sums, you may notice not much information is given. A lot of pupils might get stuck and do not know how to move on.

Reply to Table Method 3 - Before and After Table on Fri, 09 Mar 2018 04:01:36 GMT

Khong Pek Mao — Fri, 09 Mar 2018 04:01:36 GMT

Lesson 1 - Before After Concept

Some problem sums are in dynamic situation.

Let's look at this example.

https://s18.postimg.org/x68zt59p5/20180309_114011-1.jpg\">

We shall analyse this problem as follow.

https://s18.postimg.org/564w90ykp/20180309_114320-1.jpg\">

We can see the words like Before, Transfer and After.

Before - what is the number at first.
After - what is the number in the end.
Transfer - what is the movement in or out.

We shall write a positive number when there is a transfer in.
We shall write a negative number when there is a transfer out.

Now we shall set up the table.

https://s18.postimg.org/op9hi2ztl/20180309_114651-1.jpg\">

Let's try some problem sums.

https://s18.postimg.org/b8cizaa3d/20180309_114815-1.jpg\">

https://s18.postimg.org/cne3o03gp/20180309_114821-1.jpg\">

https://s18.postimg.org/vshcxraex/20180309_114828-1.jpg\">

https://s18.postimg.org/sye7kb0ix/20180309_114833-1.jpg\">

We may also answer a Before After question in reverse order, After Reverse Before.

Let's look at this example.

https://s18.postimg.org/mxgindbdl/20180309_115330-1.jpg\">

We shall analyse this problem as follow.

https://s18.postimg.org/5wxmept7d/20180309_115445-1.jpg\">

In reverse, we shall write a positive number when there is a transfer out.
We shall write a negative number when there is a transfer in.

Let's set up the table now.

https://s18.postimg.org/uq76fiheh/20180309_115330-2.jpg\">

Ready for the After Before table?

https://s18.postimg.org/g89z7jd8p/20180309_115954-1.jpg\">

https://s18.postimg.org/xlk9me0u1/20180309_120000-1.jpg\">

https://s18.postimg.org/hnbjw8yw9/20180309_120010-1.jpg\">

https://s18.postimg.org/l6xhm1tw9/20180309_120017-1.jpg\">