What is the best way to illustrate and help a child solve this math problem?

What is the best way to illustrate and help a child solve this math problem?! "Robert found 24 coins.1/3 of them were pennies, 1/4 were nickels, 1/6 were dimes and the rest were quarters. How many were quarters?

How much money had he found all together? "I started drawing diagrams for my daughter and ended up totally confusing the poor girl.. Asked by mookle 56 months ago Similar questions: illustrate help child solve math problem Science > Math.

Similar questions: illustrate help child solve math problem.

Using real coins will help First I'd take a large piece of paper and draw a large, neat circle. Then draw lines dividing up the circle like a "pie" into 24 even "slices". Now, ask your child to use different color crayons to shade in pieces of the pie.

Use orange to shade in 1/3 of the pie Blue to shade in 1/4 of the pie Green to shade in 1/6 of the pie (help her of course to decide how many pieces that will equal. Eyeballing it in terms of pie slices should make it easier). Then each slice of orange will equal a penny.

Each slice of blue will equal a nickel. Each slice of green will equal a dime. And all the leftover white slices equal quarters.

Then have your child add up the amounts and finish the problem.

Reach for your pocket change and a chessboard. You will need the first 3 rows of a chessboard. Cover the rest of the board with a towel.

Let your daughter count the cells and make sure it's indeed 24 cells. Let your daughter put a penny on every 3rd cell. Which cells, does not matter.It can be one complete row, or she can go through cells in any order and put a penny on every 3rd one.

Then ask her to put a nickel on every 4th cell. Again, it can be any 2 columns, or any random cells, as long as it's 1/4th.It's no problem if a cell also has a penny. Then let her fill out 1/6th with dimes... could be half a row, or she could count all cells and put a dime on every 6ths cell.

It would be great if she discovers on her own that 1/6 is half of 1/3rd and therefore half a row. Then let her redistribute all the money on the board in such a way that there is only one coin on every cell. Put a quarter on every empty cell.

Now, a nice visual approach like that might be of help, especially if she is very visual; but not every kid will be able to make a connection between a problem and this kind of a visual solution. Therefore, after the exercise, make sure she also understands that 24/3 = 8 24/6 = 4 24/4 = 6 8 + 4 + 6 = 18 24 - 18 = 6.

I would provide them with enough change to reconstruct the scenario with actual change, leaving out the quarters. They would have to figure out how many coins of each type they would need and then count the total coins and know that that was how many quarters they would have to add. The they can total the entire amount of 24 coins.

If they are still working on fractions I would go through a number of problems where she would need to identify how many coins represent a certain fraction, while changing the fraction as you go, before attempting the above. Sources: Helping Kids with Math .

I would start with three separate diagrams with 24 circles, show her how to divide them up into groups of three, four, and six, and label the corresponding coins with the first letter. Then draw one last group of 24 to combine all the information. Like this (except I didn't do the combined one): XXXXXXXX XXXXXXXX PPPPPPPPP XXXXXX XXXXXX XXXXXX NNNNNN XXXX XXXX XXXX XXXX XXXX DDDD .

Figure out each coin separately then add them together. If pennies equal 1/3, that would be 8 pennies, 1/3 of 24 total coins. 1/4 nickels would be 6 nickels.1/6 dimes would be 4 dimes.

If you add them all together, you get 18 coins, so 6 would have to be quarters. You could draw the individual sets of coins to show her. Sources: my own little brain .

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