I need: -4 numbers, single-digit only (0-9) ETA: oops, no zeros! -must equal 24 by using any of the 4 operations + - x ÷ -use parentheses where needed
Examples: 1 x 2 x 3 x 4
(0 x 1) + (6 x 4)
I want a game called "24 Game" but do NOT want to pay $22 for it! So I will make my own game on cardstock. =)
The four numbers are written in a circle that has an X across it, one number in each ¼ of the circle. Each player draws a card then figures out the order of operations to get 24.
I need as many different combinations of numbers as possible, so leave me a comment with as many as you can think of. You can post anonymously if you like. =)
Thanks! =)
ETA: Combinations were given by a friend in the comments, but I didn't see any zeros, so I was wrong about that part. Ignore it, please. =)
This first video is not very loud, and parents of younger children may want to simply use it as an example of how to teach the concept.
I show first (by drawing it out) that 6/2 = 3, then show how 6 divided by ½ cannot equal 3, but instead equals 12. Use several examples of this. 12/4 = 3, but 12 divided by ¼ = 48.
(1) Visual aid of how inverting (flipping upside down) the second term, then multiplying the fractions will actually give the correct result. =)
(2) A reciprocal is an inverted fraction, that when multiplied by the original fraction, gives an answer of 1.
When dividing fractions, you invert (flip upside down) the second term. This inverted fraction is the reciprocal of the original fraction, and vice versa.
You cannot invert mixed fractions. You would need to change a mixed fraction into an improper fraction first.
I think this is an excellent way to teach multiplication. The child can easily see that you are multiplying parts of a larger problem, then adding them together.
(1) Commutative Property of Multiplication - YourTeacher.com
Commutative is changing the order, even in a problem with 3 or more terms.
You commute to work, and pass the gas station, the library, and Walmart.
On the way home, you decide to go by the library first, then Walmart, then the gas station.
You commuted in a different route.
(2) Associative Property of Multiplication - YourTeacher.com
Associative is changing the grouping. 9 x (3 x 6) = 9 x (6 x 3) is not changing the grouping. That is an example of the commutative property.
Jack and Tom are your best friends. Sometimes you go to Jack's house; sometimes you go to Tom's house. Sometimes Tom and Jack go to each other's houses. You can associatewith either friend, and you are all still friends no matter what grouping you are in.You, Tom, and Jack.
(3) Commutative and Associative Property - MuchoMath (Professor Perez and Charlie)
(4) In this video, you can pause and work out the problems yourself, then see if you are right.
Remembering the Elements Song y'all learnedthought about learning in Module 13 of Physical Science, I thought you would enjoy this one. More simple, but very clever.
Now I might be able to actually learn this one! =)
These videos show how to subtract a negative number, but they don't explain why.
When my kids learned about negative and positive numbers, I told them, "If you owed your sister $7.00, then you have negative $7.00." (This is after they understand what "having" negative $7.00 means.)
"Then suppose your sister takes away 3 of the 7 you owe? How much do you now owe her?"
Now you only owe her $4.00.
So (-7)-(-3)=-4
That is the same as saying (-7)+(+3)=-4
The videos teach to change both signs, but do not explain why you can change the subtraction sign and the negative sign that comes immediately after it.
Next, I tell them even if a problem is 5-9= the 5 is positive, and the 9 is negative. When they were just learning this, I told them to circle each number with the sign directly in front of it. Then they could easily see the 5 was positive and that the negative sign went with the 9.
Another thing I'd like to point out, is that in text books, the negative sign is usually written up higher than the regular addition and subtractions symbols, and is sometimes not in parentheses. But when being written, it is good to place parentheses around numbers and their negative signs to keep them separated from the regular addition and subtraction symbols.
(1) Subtracting integers, animated number line "The difference of -4 and -7 is 3."This makes so much sense! If it is -7º where you live, and it is -4º where I live, the difference is 3º.
And if it is 4º where you live, and it is -2º where I live, the difference is 6º.
So 4 - (-2) is the same as 4 + (+2) and it equals 6.
(2) Subtracting Integers, YourTeacher.com Remember, when subtracting, you are finding the difference between two numbers.
(3) Subtracting integers, subtracting 3 numbers Anytime you change a subtraction sign to an addition sign, you must change the sign of the number immediately after it.
