Q&A - P3 Math

[corneyAmber]

http://i724.photobucket.com/albums/ww246/ks2me/P6Mathorangejuice-2.jpg\">

[Daddy]

Hi Ks2me,


Any working?

Thanks

[corneyAmber]

Is this P6 level? Assuming they already know fractions?


The diagram is the working.
Each unit is a glass.
In row 2, the unit is halved, so 2 half filled units = 1 filled unit
The reason for using model diagram is that visually it is easy to see how the units can add up to give the same 3.5 units for the orange juice (total orange juice = 21 half-units, so we need to combine 7 half-units(=3.5 full units) for each child)

The other clue to solve this is that there are total 21 glasses so each child must get 7 glasses. Hence, in order to achieve that, there must be different combination of full, half and empty glasses since 7 are full, 7 half and 7 empty in order to achieve the other condition of same amt of orange juice.

Hope this helps to explain the solution.

[Daddy]

Thanks.

[shurley197323]

[Moderator's note: Topics merged.]


Ben had 338 more bookmarks than Carson.Ben gave some bookmarks to Carson so that Carson had 82 more bookmarks than Ben. How many bookmarks did Ben give Carlson?

Ans: 2 units + 82 = 338 bookmarks
2 units --- 338 -82 = 256 bookmarks
1 unit --- 256 divide 2 = 128 bookmarks
128 + 82 = 210
Ben gave 210 bookmarks to Carlson.

BUT I DID NOT KNOW HOW TO EXPLAIN WHT THE USE THE 2 UNITS TO MY GIRL ? ANYONE HAD OTHER SOLUTIONS ?

(from\" MUST KNOW MATHS PROBLEM SUMS\" PRI 3 FROM EPH)

[jedamum]

please post http://www.kiasuparents.com/kiasu/forum/viewtopic.php?t=149&start=0 here.

[corneyAmber]

shurley197323:

[Moderator's note: Topics merged.]


Ben had 338 more bookmarks than Carson.Ben gave some bookmarks to Carson so that Carson had 82 more bookmarks than Ben. How many bookmarks did Ben give Carlson?

Ans: 2 units + 82 = 338 bookmarks
2 units --- 338 -82 = 256 bookmarks
1 unit --- 256 divide 2 = 128 bookmarks
128 + 82 = 210
Ben gave 210 bookmarks to Carlson.

BUT I DID NOT KNOW HOW TO EXPLAIN WHT THE USE THE 2 UNITS TO MY GIRL ? ANYONE HAD OTHER SOLUTIONS ?

(from\" MUST KNOW MATHS PROBLEM SUMS\" PRI 3 FROM EPH)

http://i724.photobucket.com/albums/ww246/ks2me/P3Mathbookmarks-2.jpg\">

[acforfamily]

shurley197323:

[Moderator's note: Topics merged.]


Ben had 338 more bookmarks than Carson.Ben gave some bookmarks to Carson so that Carson had 82 more bookmarks than Ben. How many bookmarks did Ben give Carlson?

Ans: 2 units + 82 = 338 bookmarks
2 units --- 338 -82 = 256 bookmarks
1 unit --- 256 divide 2 = 128 bookmarks
128 + 82 = 210
Ben gave 210 bookmarks to Carlson.

BUT I DID NOT KNOW HOW TO EXPLAIN WHT THE USE THE 2 UNITS TO MY GIRL ? ANYONE HAD OTHER SOLUTIONS ?

(from\" MUST KNOW MATHS PROBLEM SUMS\" PRI 3 FROM EPH)

hi shurley197323,
Perhaps we could think of the 338 being split into 3 blocks, 1 block is the 82 which is what Carlson has more than Ben, the second and third blocks are equal representing what both B and C has after stripping out the 82. These are the 2 units represented in the solution.

[shurley197323]

Thks for the answer. But still trying vey hard to explain.

[corneyAmber]

shurley197323:

Thks for the answer. But still trying vey hard to explain.

Hmm...you mean the model diagram is still tough to explain the solution?

1. The yellow part shows that B & C have same number of bookmarks.
2. The \"peach + pink\" for B is the 338 more bookmarks that B has more than C per the question.
3. Why peach + pink because pink is given away to C so a different colour is used.
4. Then now join the pink to C to show C receive the pink.. ( I should have changed the pink for B in perforated box, to show that it has been given away to C)
5. By fitting the pink block below, we can see that one part of the pink will correspond to the peach box above as SAME UNIT and now C is 82 more than B.

Hope this explains the diagram.