Table Method 2 - Quantity Amount Table

Reply to Table Method 2 - Quantity Amount Table on Wed, 07 Mar 2018 13:25:49 GMT

Khong Pek Mao — Wed, 07 Mar 2018 13:25:49 GMT

Lesson 6 - Application of Group and Remainder

In this lesson, we shall look at some common application of Group and Remainder method.

1) Box and Left / Short

First, let's see this example.

https://s18.postimg.org/j2u4hiow9/20180307_203957-1.jpg\">

Now you try these sums.

https://s18.postimg.org/6o7chdkl5/20180307_204251-1.jpg\">

https://s18.postimg.org/mmg27hzdl/20180307_204258-1.jpg\">

https://s18.postimg.org/95j3omwrt/20180307_204303-1.jpg\">

https://s18.postimg.org/6o7chci09/20180307_204310-1.jpg\">

2) Distribution of sweets

A teacher has some sweets.

She gave them equally and has some sweets left.

She gave them equally and was short of some sweets.

https://s18.postimg.org/dfxrjzwnd/20180307_205144-1.jpg\">

Let's do these sums.

https://s18.postimg.org/6qvthp5u1/20180307_205738-1.jpg\">

https://s18.postimg.org/6qvthoy49/20180307_205744-1.jpg\">

https://s18.postimg.org/f959m1k2h/20180307_205752-1.jpg\">

https://s18.postimg.org/lzlqvgk2x/20180307_205812-1.jpg\">

3) Number Problem

In number problems, we shall write the divisor as 1u. Quotient as number of units.

https://s18.postimg.org/5bu8t8cjd/20180307_210258-1.jpg\">

Let's try these sums.

https://s18.postimg.org/jjjxhleux/20180307_210410-1.jpg\">

https://s18.postimg.org/x0gw0hrrd/20180307_210416-1.jpg\">

https://s18.postimg.org/8jyq603vd/20180307_210424-1.jpg\">

https://s18.postimg.org/p7q88ggmh/20180307_210431-1.jpg\">

4) Cutting Squares

We may want to cut some squares from an vanguard sheet.

To find the number of squares in length wise, we use the length divided by square length.

To find the number ofor squares in breadth wise, we use the breadth divided by square length.

There will be some leftover after the cutting.

https://s18.postimg.org/lpe8c280p/20180307_210916-1.jpg\">

https://s18.postimg.org/5r5imdvxl/20180307_211054-1.jpg\">

Let's try these sums.

https://s18.postimg.org/yjca5jix5/20180307_211157-1.jpg\">

https://s18.postimg.org/x4apgt2eh/20180307_211203-1.jpg\">

https://s18.postimg.org/z8v2hwbqx/20180307_211210-1.jpg\">

https://s18.postimg.org/90jxse1w9/20180307_211215-1.jpg\">

5) Cutting String

This is new category since last year PSLE.

A person may cut a string into smaller pieces. There will some leftover, and he cannot use this remainder.

https://s18.postimg.org/gj331bqrt/20180307_211732-1.jpg\">

He has to buy one more string to cut more smaller pieces.

https://s18.postimg.org/6aalvpks9/20180307_212136-1.jpg\">

Let's try these sums.

https://s18.postimg.org/tpsj0p9kp/20180307_212245-1.jpg\">

https://s18.postimg.org/j2ypv9tpl/20180307_212250-1.jpg\">

https://s18.postimg.org/yog1f8l3d/20180307_212255-1.jpg\">

https://s18.postimg.org/drjtajs7d/20180307_212301-1.jpg\">

Reply to Table Method 2 - Quantity Amount Table on Sun, 04 Mar 2018 15:36:42 GMT

Khong Pek Mao — Sun, 04 Mar 2018 15:36:42 GMT

Lesson 5 - Group and Number

In Part Whole Concept, a Whole may be made up of 2 parts.

https://s18.postimg.org/gdelwfdnd/20180304_225935-1.jpg\">

Let's make it more complicated.

A Whole may be made up of a Group and number.

https://s18.postimg.org/sgjxjkgvd/20180304_230155-1.jpg\">

A Group means a few items.

We may write a group of 2 friends as 2u.

https://s18.postimg.org/yhhmgzyg9/20180304_230733-1.jpg\">

We may also wrote each friend received $5 as 5u.

https://s18.postimg.org/8ypa3z76h/20180304_230733-2.jpg\">

A Number may be Positive.

https://s18.postimg.org/vbx0qfkvd/20180304_231242-1.jpg\">

A Number may be Negative.

https://s18.postimg.org/pazbtenzd/20180304_231307-1.jpg\">

Let's see a full example.

https://s18.postimg.org/z8acmjnw9/20180304_231528-1.jpg\">

Now you try the following sums.

https://s18.postimg.org/a29efw9t5/20180304_231718-1.jpg\">

https://s18.postimg.org/fqfp6stl5/20180304_231733-1.jpg\">

https://s18.postimg.org/y60646zzt/20180304_231741-1.jpg\">

https://s18.postimg.org/3okbcmx7d/20180304_231750-1.jpg\">

You may want to find the Amount.

https://s18.postimg.org/qd9icbwmh/20180304_232045-1.jpg\">

Easy? Now you try the following sums.

https://s18.postimg.org/eco2b91yx/20180304_232146-1.jpg\">

https://s18.postimg.org/l34jkohex/20180304_232152-1.jpg\">

https://s18.postimg.org/omqhagwzd/20180304_232158-1.jpg\">

https://s18.postimg.org/lsnbx0n3d/20180304_232204-1.jpg\">

Lastly, we shall find the Remainder.

To find the remainder, we shall use the Long Division method.

https://s18.postimg.org/6j3l7h82h/20180307_200713-1.jpg\">

The remainder is in the bottom of the division.

This is an example.

https://s18.postimg.org/xjhdwh47d/20180307_200905-1.jpg\">

Let's try some problem sums.

https://s18.postimg.org/q4s23k7vt/20180307_201100-1.jpg\">

https://s18.postimg.org/5kn852zuh/20180307_201108-1.jpg\">

https://s18.postimg.org/p2hvl14i1/20180307_201120-1.jpg\">

https://s18.postimg.org/esfglqow9/20180307_201127-1.jpg\">

Please send in your feedback so that we can make this presentation better.

Reply to Table Method 2 - Quantity Amount Table on Fri, 02 Mar 2018 04:05:15 GMT

Khong Pek Mao — Fri, 02 Mar 2018 04:05:15 GMT

Lesson 4 - The Comparison Concept

One item may be more or less than the other.
We shall start with any one item as 1u.
Then the other item will be 1u + number or 1u - number.

https://s18.postimg.org/urkad2eqx/20180302_111609-1.jpg\">

Easy right? Now you try.

https://s18.postimg.org/ehu49o3xl/20180302_111806-1.jpg\">

https://s18.postimg.org/3v0b49ixl/20180302_111806-2.jpg\">

https://s18.postimg.org/t119b59y1/20180302_111927-1.jpg\">

https://s18.postimg.org/j3q8i2umh/20180302_111927-2.jpg\">

Another similar concept is Complement Concept.
We shall use this method when a total is given.

Given that there are 10 apples on the table.
Adam took 4 apples.
How many apples are left?
10 - 4 = 6

Now we see this example.

https://s18.postimg.org/rlzomne2h/20180302_112445-1.jpg\">

Got it?
We shall write one item as 1u.
Then the other item as Total - 1u.

Let's try some questions.

https://s18.postimg.org/usu86d695/20180302_112653-1.jpg\">

https://s18.postimg.org/wxel7g061/20180302_112653-2.jpg\">

https://s18.postimg.org/wkn71as6x/20180302_112813-1.jpg\">

https://s18.postimg.org/ehu4a2omh/20180302_112813-2.jpg\">

Now we shall learn how to form a Comparison Equation.

In every problem sum, there will be a given amount. This is called the Key.

We shall use the Key and the table to form an Equation.

https://s18.postimg.org/z38w1o8op/20180302_113453-1.jpg\">

In this problem sum, the Key is 30.

Let's try some problem sums.

https://s18.postimg.org/q881rahd5/20180302_113839-1.jpg\">

https://s18.postimg.org/rn9mg0aqh/20180302_113906-1.jpg\">

https://s18.postimg.org/jhrkhuert/20180302_113928-1.jpg\">

https://s18.postimg.org/amqq7bi9l/20180302_113947-1.jpg\">

Now we shall learn one more important method, the Stamping Method.

We can move a unit or number across the equal sign.

Remember this?

A unit or number with a positive sign or no sign in front of it is Positive.

A unit or number with a negative sign in front of it is Negative.

A positive unit or number will become negative when it moves across the equal sign.

https://s18.postimg.org/qxqu3s7nt/20180302_114328-1.jpg\">

A negative unit or number will become positive when it moves across the equal sign.

https://s18.postimg.org/5o37sym89/20180302_114506-1.jpg\">

The only item does not move is the Biggest Positive unit. This is the King.

All other units will go to the same side as the King.
All other numbers will go to the opposite side of the King.

Sound complicated? Let's try the following sums.

https://s18.postimg.org/azi4dsawp/20180302_114832-1.jpg\">

https://s18.postimg.org/8i6d6ijah/20180302_114903-1.jpg\">

You may repeat the practice if you are not sure.

Here are some problem sums you may try.

https://s18.postimg.org/ej94074d5/20180302_115117-1.jpg\">

https://s18.postimg.org/6dr2218eh/20180302_115147-1.jpg\">

https://s18.postimg.org/mbzrs5uwp/20180302_115209-1.jpg\">

Reply to Table Method 2 - Quantity Amount Table on Thu, 22 Feb 2018 04:09:34 GMT

Khong Pek Mao — Thu, 22 Feb 2018 04:09:34 GMT

Lesson 3 - The Ratio Concept

Two items may be in multiple of each other.

Lily has some money.
Mary has thrice as much as Lily.

Using a diagram, we can show it in this way.

https://s18.postimg.org/ybdzkcho9/20180222_114413-1.jpg\">

However, we are going to present it in a Quantity Amount table.

https://s18.postimg.org/mxrg9jcex/20180222_113639-1.jpg\">

Isn't it easier than drawing a diagram?

What is Quantity? It means the number of item.
What is Amount? It means the value of the item.

When the quantity is given, we shall write it in the table. However, when it is not given, we shall it as units.

What is Ratio? It means the multiple of another number.

If Lily has $2, Mary will have $6.
So if Lily has 1u, Mary will have 3u.

Lily has some money.
Mary has thrice as much as Lily.
If Mary has $30, how much did they have altogether?

https://s18.postimg.org/fvtin43ll/20180222_114936-1.jpg\">

We shall form the Equation.

3u = 30
1u = 30 ÷ 3 = 10
4u = 4 × 10 = $40

We then find 1u.
Since the problem sum is looking for total, we shall find the value of 4u.

https://s18.postimg.org/v4jg0xn09/20180222_115223-1.jpg\">

Now it's your time.

https://s18.postimg.org/3ty4t3ru1/20180222_115346-1.jpg\">

https://s18.postimg.org/vhau78fll/20180222_115354-1.jpg\">

https://s18.postimg.org/tcqh65695/20180222_115408-1.jpg\">

We shall proceed to Fraction.
A fraction is a Ratio in a vertical format.

https://s18.postimg.org/eut9xmzd5/20180222_115851-1.jpg\">

Using Part Whole concept, the girls are 3u and the total is 8u. Then the boys will be 8u - 3u = 5u.

We can then write these information into the table.

https://s18.postimg.org/k686ifdqx/20180222_120203-1.jpg\">

We shall form an Equation.

8u = 40
1u = 40 ÷ 8 = 5
5u = 5 × 5 = 25

Now it's time to practice.

https://s18.postimg.org/6pb7zs0x5/20180222_120736-1.jpg\">

https://s18.postimg.org/4kquyorkp/20180222_120748-1.jpg\">

https://s18.postimg.org/tqrt5il55/20180222_120755-1.jpg\">

Reply to Table Method 2 - Quantity Amount Table on Thu, 22 Feb 2018 03:29:19 GMT

Khong Pek Mao — Thu, 22 Feb 2018 03:29:19 GMT

Lesson 2 - The Proportion Method

In the previous lesson, we have learnt about Unit Amount and Unit Quantity.

Now let's answer to the problem sum using the Proportion method.

A bag of sugar cost $3.
How much is 5 bags of sugar?

https://s18.postimg.org/mwhifzku1/20180222_111213-1.jpg\">

In writing,
1u = $3
5u = 5 × $3 = $15

Easy? Just multiplied both sides by 5.

We understand that pupils tend to take the shortcut
5 × $3 = $15

However, we feel that this is for mental calculation only. We need to write in proper mathematics presentation.

Anyway, even if pupils are not willing to change their presentation now, they will still need to change later in secondary schools.

Let's try the following sums using the Proportion method.

https://s18.postimg.org/hmcjob31l/20180222_112014-1.jpg\">

https://s18.postimg.org/vg0wdcnx5/20180222_112014-2.jpg\">

https://s18.postimg.org/6mrccox6x/20180222_112022-1.jpg\">

In conclusion, we are using the skills learnt in these 2 lessons to answer the problem sums.

First, we use the information given in the problem sum to form an equation.

Next, we find the unit amount.

Then we find out the required amount for the quantity given.

Reply to Table Method 2 - Quantity Amount Table on Thu, 22 Feb 2018 02:57:42 GMT

Khong Pek Mao — Thu, 22 Feb 2018 02:57:42 GMT

Lesson 1 - The Equal Concept

Look at the beam balance.

https://s18.postimg.org/qdjkiz71l/20180222_103604-1.jpg\">

The left side is Equal to the right side.

In Mathematics format, we can simply write it as
5u = 15

This is called an Equation.

Now you try to write an equation.

https://s18.postimg.org/41lrpov3t/20180222_103909-1.jpg\">

https://s18.postimg.org/h719v8byh/20180222_103909-2.jpg\">

Good. Writing an equation is very easy.

Now we proceed to Unit Amount, ie how much is 1 unit?

If we buy 3 toys for $9, how much is 1 toy?

https://s18.postimg.org/tlo1vldrd/20180222_104425-1.jpg\">

In problem solving, our main target is to find 1 unit.

Let's try some problems.

https://s18.postimg.org/mig6g2vi1/20180222_104632-1.jpg\">

https://s18.postimg.org/eppio3ht5/20180222_104632-2.jpg\">

https://s18.postimg.org/r4caoi1mh/20180222_105000-1.jpg\">

Another item we need to know is Unit Quantity, ie how many item can we buy with $1?

We buy 9 stickers with $3. How many stickers can we buy with $1?

https://s18.postimg.org/8c0fkyn8p/20180222_105243-1.jpg\">

Now let's buy with $1.

https://s18.postimg.org/ozrxnncx5/20180222_105357-1.jpg\">

https://s18.postimg.org/cxwjtfbdl/20180222_105357-2.jpg\">

https://s18.postimg.org/on0jhdmwp/20180222_105441-1.jpg\">