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Using playing cards to help practice math Presented by Joe Hill Director of Math and Technology Rockingham County Public Schools Introduction... Here are some ideas on how you can practice math skills using common playing cards. SOLUTION PROBLEM Try this card activity...

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using playing cards to help practice math

Using playing cards to help practice math

Presented by

Joe Hill

Director of Math and Technology

Rockingham County Public Schools

introduction
Introduction...

Here are some ideas on how you can practice math skills using common playing cards.

try this card activity

SOLUTION

PROBLEM

Try this card activity...

Arrange the five cards shown below in the five boxes shown to the right such that the sum, both horizontally and vertically, is 8.

now change it a little

SOLUTION

PROBLEM

Now change it a little….

Arrange the five cards shown below in the five boxes shown to the right such that the sum, both horizontally and vertically, is 9.

and change it again

SOLUTION

PROBLEM

And change it again...

Arrange the five cards shown below in the five boxes shown to the right such that the sum, both horizontally and vertically, is 10.

try this card activity6

SOLUTION

PROBLEM

Try this card activity

Arrange the six cards shown below in the six boxes shown to the right such that the sum along all three arrows is9.

now change the sum

SOLUTION

PROBLEM

Now change the sum...

Arrange the six cards shown below in the six boxes shown to the right such that the sum along all three arrows is 10.

change it again

SOLUTION

PROBLEM

Change it again...

Arrange the six cards shown below in the six boxes shown to the right such that the sum along all three arrows is 11.

and again

SOLUTION

PROBLEM

And again...

Arrange the six cards shown below in the six boxes shown to the right such that the sum along all three arrows is 12.

a new challenge

PROBLEM

SOLUTION

A new challenge

Place the eight cards in the eight boxes so that no two consecutive cards are adjacent in any way--including corners.

next challenge deal the cards

SOLUTION

PROBLEM

Next challenge….deal the cards

Begin with the ten cards 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10. Deal them in this manner: deal the first one, then put the second one on the bottom of the deck. Deal the third card, then put the fourth one on the bottom of the deck. Continue in this fashion until all are dealt. Arrange the cards so that they will be dealt in order: 1, 2, 3, 4, 5, 6, 7, 8, 9, and 10.

the end

The End!

Hope you enjoyed solving problems with playing cards.

sum 8 solution
SUM = 8 SOLUTION

Notice the middle card

Return

sum 9 solution
SUM = 9 SOLUTION

Notice the middle card. See a pattern?

Return

sum 10 solution
SUM = 10 SOLUTION

Notice the middle card. See a pattern?

Return

sum 23 solution
SUM = 23 SOLUTION

23 is the lowest sum possible for this game. Other possible sums are 24 and 25.

Return

algebra solution
ALGEBRA SOLUTION

For any five consecutively numbered cards, you can find sums of (3n + 5), (3n + 6), and (3n + 7) where n is the lowest card. In the example below, the possible sums are 17, 18, and 19.

Return

sum 9 solution18
SUM = 9 SOLUTION

Notice the numbers in the corners.

Return

sum 10 solution19
SUM = 10 SOLUTION

Notice the numbers in the corners. See a pattern?

Return

sum 11 solution
SUM = 11 SOLUTION

Notice the numbers in the corners. See a pattern?

Return

sum 12 solution
SUM = 12 SOLUTION

Could you make a sum of 13 all three ways??

Return

sum 21 solution
SUM = 21 SOLUTION

What other sums could you make with these six cards?

22, 23, and 24

Return

solution
SOLUTION

Notice the middle numbers.

Return

card deal solution
CARD DEAL SOLUTION

Start with ten blanks:

__ __ __ __ __ __ __ __ __ __

Fill in the first five:

1 __ 2 __ 3 __ 4 __ 5 __

Count the __ as “bottom of the deck” and skip all previously dealt cards:

1 6 2 10 3 7 4 9 5 8

Return