My algebra was superb. (chorus) Let’s have a pizza party, How many should I buy? (l don’t know. ) A small one feeds 15, A large, 25. I don’t like these cell phone people, They have too many plans, They try to make me pay a lot, What kind of fool do they think I am? So I drew some graphs before I bought, Decided how many minutes I ought To use each day, each month, and then I thought Algebra helps me a lot. (repeat chorus twice) Adding Signed Numbers By Susan Canted When adding signed numbers, Think of it as cash, Negative, you owe someone, Positive, you have, The answer is the balanceAhead or behind, You’re in the black when you’re positive, Red’s the other kind.
Positive plus positive is always positive, Negative plus negative is always negative, But when you’re adding one of each, Do yourself a favor, Subtract their magnitudes And keep the sign of the one that’s “greater. ” Never get uptight, Negative moves left, Positive moves right, Always start at zero, Then take one step at a time, You’re standing on the answer, 8+-6 2, Cause 8 has the greater magnitude, Cause between the two, 9 is more, -5+G’S-3, It quite elementary. Some people only like To memorize the rules,But in my opinion, Rules are rather cruel, If you use a model That makes some sense to you, Then you’ll be the master Of signed numbers when you’re through. Subtracting Signed Numbers 8- 5 is 3, that’s easy, 5 – 8 is negative 3, Because you’re taking more away than you have, you see, Beginners need to re-write it as addition, And though that could be the tradition, You won’t need to do that when you’re done. The opposite of opposite is back to positive, I’m not sure why that’s not obvious, Like a switch that goes off and on inside your head, When you subtract a negative number,Taking away a negative number, Just like adding a positive value instead. Subtraction, Subtraction, The opposite reaction, Take away a plus and it’s a minus, Take away a minus, it’s a plus, Opposite reaction, If you know how to add then you can subtract.
12 + 3, so let’s be fearless, Two negatives in a row Make a big plus sign, -7 – -2 written, Is -7 + 2; that’s a given, And we know that equals negative 5, Multiplying Signed Numbers Every child can multiply With positives preoccupied, They know their times, four fives and nines, Stay positive and they-re Just fine. When you have a negativeTimes positive; don’t ever quit, You know the answer must exist, It’s negative, Oh yeah, that’s it. Now a negative times a negative Is often missed, seems illicit, But if you Just submit a list, The pattern goes something like this. -2 times 2 is -4, -2 times 1 is -2, -2 times O is zero, each answer is increased by 2, So -2 times -1, it’s true, Has to be positive 2, A positive times positive is positive, A negative times positive is negative, A negative times negative is positive, It’s a switch with a twist of two opposites. You, hello, Just go with the flow, All of my knowledge I bestow,I’m preoccupied and fortified; I’ll tell you why I’m satisfied, I’m inclined to multiply: I’m a Pro, a dynamo. (repeat the first three stanzas) 2 times -3 is -6, 1 times -3 is -3, O times -3 is zero; each answer is increased by 3, Are you listening to me? -1 times -3 is positive 3.
Commutative Property The Commutative Property of addition, That’s where the addends change their positions, b+a=a+b, The order doesn’t change the answer you see, If a goes west and b goes east, It won’t affect the sum in the least. Commutative Property, Switch the numbers as you please. The Commutative Property of multiplication,That’s where the factors change their positions, It won’t affect the product in the least. Instrumental Interlude Associative Property When the numbers keep their positions, In multiplication or addition, But the parentheses slide to the left or the right, Wrapping around a different quantity, That’s the Associative Property. Given 3+4+5, Should you start at the left or the right? It doesn’t matter how you add them, 7+5 ‘s the same as 3+9, Yes a + b in parentheses, Plus a third number, Let’s call it c, Is the same thing that will be, a plus the quantity b plus c. Given ,It will never ever, ever change the sum, That’s why zero’s often called, yes, it’s widely known as The identity element of addition a + O is always a, O + a is always a; it’s always that way.
It’s never any different when you’re done, That is why Xi’s often called, yes it’s widely known as The identify element of multiplication is always a, is always a; it’s always that way. Please Excuse My Dear Aunt Sally Please Excuse my dear Aunt Sally! Please… Excuse.
.. My dear Aunt Sally! Do what’s inside parentheses first, Do something else first and it’s goanna hurt, Exponents are second, you’ve got to be smart,If there’s no parentheses, then that’s where you start, Third step, multiply and divide, Start on the left then move to the right, You’re on the right track, now add and subtract, Left to right again, that’s Just a fact.
This Thing Called X This thing called x, What could be worse than this thing called x? What will be next? Y and z, what can they be? This ever changing, never failing, heart breaking, Breath a-taking, Unstable variable called x. A constant value never changes, Never rearranges, It’s always the same, But a variable can’t make up its mind, In one problem it’s four, In the next it’s nine.