VIEWS: 27 PAGES: 12 POSTED ON: 5/2/2010
INEQUALITY RULES TO: REVELRY I don’t know but I’ve been told To solve inequalities you must be bold Use properties of equa-a-tions Then graph that sucker when you’re done Inequalities Equations Inequalities – equations, algebra… Oh yeah! To solve you undo what’s been done Be sure to treat both sides as one You can’t play favorites that’s not the rule Workin’ one side is not too cool Both sides Be cool Work both sides or you won’t… be cool! If it starts out positive then you subtract Include both sides or you might get whacked To undo division simply multiply Do it to both sides then let the answers fly Do the opposite Of what’s been done If you follow these hints then you’ll be… number one! To graph the solutions you must decide Do you shade in the circle or let it slide If the symbol has a line underneath You must shade it in or kiss my feet Shade the circle Let it slide Shade the circle, let it slide. If you get this wrong… I’ll cry! There’s two rules of inequalities Not the same with equations, you see If multiply or divide by a negative You must flip the inequality so you can live Multiply Or divide Multiply – or divide – by a negative…flip signs! To graph greater than shade to the right If done the other way, I’ll die of fright The smaller numbers are on the left For less than, l – e – f – t is best Greater – right Less than – left Get this right to make a good grade…on the test! Combined inequalities are so much fun You put two on one graph then you’re done Conjunctions are joined by the word ‘and’ ‘Or’ joins disjunctions, man oh man Conjunctions Disjunctions Conjunctions, disjunctions, ‘and’, ‘or’…get it right! If ‘and’ then graph numbers in between The outside numbers won’t be seen ‘Or’ graphs numbers left and right The in between numbers are out of sight ‘And’ graphs in ‘Or’ graphs out ‘And’ – in, ‘Or’ – out, get this right so there’ll be…NO DOUBT!! POLYNOMIALS To the tune of: “Rock’n Robin” We sit in the classroom all day long, Now Mrs. Pugh makes us sing this song! About polynomials, whoopee, All I know is tri means 3! Polynomials, sweet – sweet- sweet. Polynomials, neat – really – neat! Oh polynomials, we’re really gonna work tonight! Tri means 3 terms, Bi means 2, Mono means 1, so what do you do? To find the degree look at each term. Count exponents now don’t you squirm! Polynomials, sweet – sweet- sweet. Polynomials, neat – really – neat! Oh polynomials, we’re really gonna work tonight! There’s not that many laws if you’ll just learn them. Without these laws your future sure looks grim. Anything to zero is replaced with 1. If the exponent’s negative we’ll turn around and run!! ***You use these laws when they apply. Add exponents when you multiply. A power to a power is really cool, Multiply those cause that’s the rule! Polynomials, sweet – sweet- sweet. Polynomials, neat – really – neat! Oh polynomials, we’re really gonna work tonight! If division is the problem, then learn the law. Subtract exponents without a flaw. When you add like terms, don’t hesitate. Leave exponents alone and you’ll do great!! *** REPEAT Polynomials, sweet – sweet- sweet. Polynomials, neat – really – neat! Oh polynomials, we’re really gonna work tonight! Y = MX + B To the tune of: YMCA Young man, there’s no need for this frown. I said, young man, turn that frown upside down. Oh yes, young man, y = mx + b. So no need – to – be – un- happy. Young man, this equation is true. I said, young man, it will work out for you. This means you can always graph a straight line. If you’ll just – keep – this - in - mind. It’s always y = mx + b! Oh yes, it’s y = mx + b! m’s used to represent slope, b’s the y – intercept. It’s so easy, as you can see! Remember, y = mx + b! Oh yes, it’s y = mx + b! m’s used to represent slope, b’s the y – intercept. It’s as easy as a, b, c Young man, just begin with the ‘b’. I said, it’s on the y – axis, you see. But what if - the ‘b’ cannot be found. Then the OR – I – GIN is the key. Then find the number beside the ‘x’. It tells you where you should go next. This number is the slope, you can see. It’s as important as the ‘b’, Now you know y = mx + b! Oh yes, it’s y = mx + b! m’s the slope, you can see. The y – intercept’s ‘b’. It’s as easy as a, b, c. You know that y = mx + b! Oh yes, it’s y = mx + b! m’s the slope, you can see. The y – intercept’s ‘b’. It’s as easy as a, b, c. Young man, slope means rise over run. And yes, that means put ‘m’ in fraction form. So far, no one has done better than you. Now the whole – world – is – so – proud! With slope, you need to check out the sign. I said young man, positive slopes always rise. And yes, its true, negative slopes take the fall. To the bot – tom - right – each – time. Now you know y = mx + b! Oh yes, it’s y = mx + b! m’s the slope, you can see. The y – intercept’s ‘b’. It’s as easy as a, b, c. C’mon its y = mx + b You know its y = mx + b m’s the slope, you can see. The y – intercept’s ‘b’. It’s as easy as a, b, c. PYTHAGOREAN THEOREM To the tune of: “Surfin’ USA” If everybody had a notion About Pythagoras. Then everybody’d be using His theorem, oh yes! It’s for right triangles only, Nothing else will do. It’s used to find the legs, now And the hypotenuse, too!! It’s used in the classroom, And outside school, too! All over the country, It’s a handy tool. When you’re missin’ a side length, Just use this rule: A squared plus B squared Equals c squared, dude! C is called the hypotenuse, Across from 90, that’s right! Just use Pythagoras, He’s out-of-sight!! It’s used in the classroom, And outside of school, too! All over the country, It’s a handy tool. When you’re missin’ a side length, Just use this rule. A squared plus B squared Equals C squared, dude! A squared plus B squared Equals C squared, dude! AREA OF POLYGONS To the tune of: “Give a Dog a Bone” My geometry teacher is no fool, She knows I need to learn these rules, About the area of polygons. Here we go with number one. The area of a square is base times height But please beware. The base and height are both the same Squaring is the name of the game. Rectangles and parallelograms, too, Are basically the same to do. Its base times height but I’ll confide, In a parallelogram height is not the side. Triangles are half of these, Its base time height over two, you see. If height’s not known then be a Hero! Use his formula, then go! A Rhombus is a leaning square But their areas do not compare. You multiply diagonals one and two, Then take half and you’ll be through! We saved the best for the last. If we get a trapezoid we’ll surely pass. It’s one-half height times base one plus base two. Oh my gosh! I think we’re through! Areas are sorta fun, I’m kinda sad that we are done. I learned this song so please give me an ‘A’, It would surely make my day!! LAWS OF EXPONENTS To the tune of: “The One That I Want” from Grease Don’t get chills from workin’ exponents, You can always be in control. And the power that fact gives you – It’s electrifying! You better shape up, you now have a plan, All exponents you can do. You better shape up, you need to understand, Learn these rules then pick and choose – pick and choose. The rule that you want. Oo – oo – oo Honey, The rule that you want. Oo –oo – oo Honey, The rule that you want. Oo – oo – oo the rule you need Oh yes, indeed! When multiplying, you add exponents. When dividing, you subtract. If the power ends up negative, ……. R e c i p r o c a t e! You better learn this, a power to a power – To satisfy you multiply. If the power is ‘0’, then the answer’s 1. From this rule you cannot hide – cannot hide. To multiply – You will add. To divide – You subtract. Power to power – multiply. Zero exponent – gives you one! Choose the rule that you want. Oo – oo – oo Honey, The rule that you want. Oo –oo – oo Honey, The rule that you want. Oo – oo – oo the rule you need Oh yes, indeed! RECTANGLES AND SQUARES To the tune of: “Splish, Splash” Splish, splash, I was takin’ a bath, Thinkin’ how rectangles are tight. Rub – a – dub I was soakin’ in the tub, Knowin’ all four angles are right. I stepped out on the rug – wrapped my towel around. The next thing that I knew – I was Algebra bound. We’re studying rectangles and all of their parts, But how was I to know rectangles are the way to go? They have parallel sides, Opposites the same. If all four sides are equal – Well, it’s not a new game. It’s still a rectangle – but its special that’s true. It becomes a square so what do you do? Oh my, it has diagonals. With these vertices connect. They are equal in length. That fact really has an effect. They bisect each other – Four triangles are formed. If the rectangle’s square – Congruent triangle’s the norm. If it’s just a rectangle – then the triangles made Are isosceles which mean two sides are always the same. We have parallel sides, Opposites the same. Congruent diagonals, Triangles by name. Rectangles – that’s what they are. Rectangles and squares will take you far. We have parallel sides, Opposites the same. Congruent diagonals, Triangles by name. PROPORTIONS To the tune of: “Johnny Be Goode” Way down in Sylacauga in a classroom there They’ve got the brightest students, no one can compare. And if you go there you better just beware Proportions they can do without a care. Proportions can be trouble, they are ratios – two. Set them equal to each other, then show us what to do. Go, go, go students go! Go, go students go! Work, work students work! Work, work students work! Students, show what you can do! These kids are problem solvers, yes they know they can. To cross-multiply is a big part of their plan. Division is the next step in finding ‘x’. That’s the proportion rule so don’t be vexed. Proportions can be trouble, they are ratios – two. Set them equal to each other, then show us what to do. Go, go, go students go! Go, go students go! Work, work students work! Work, work students work! Students, show what you can do! Proportions, they are ratios You set them equal to each other You multiply and then divide Then bring it on home! That’s the famous proportion rule, Oh yes, the famous proportion rule. Proportions can be trouble, they are ratios – two. Set them equal to each other, then show us what to do. FRACTIONS To the tune of: “Jailhouse Rock” It’s going to be fun in Math class today, We’re workin’ on fractions, what can I say. The rules are simple if you take the time, To learn those suckers, you’ll do fine! Let’s rock, everybody, let’s rock. Every student during this _____ block Will be dancin’ to the Math class rock. The numerator is the top, can’t you see. The bottom is denominator, glory be! You need a common denominator to add or subtract. This is a basic fraction fact! Let’s rock, everybody, let’s rock. Every student during this _____ block Will be dancin’ to the Math class rock. Multiplying fractions is really cool. Numerator times numerator’s the first rule. Multiplying denominators’ oh so fun. Reduce all answers when you’re done. Let’s rock, everybody, let’s rock. Every student during this _____ block Will be dancin’ to the Math class rock. To divide fractions here’s what you do, You invert the fraction number two. Once you’ve flipped then multiply, Top times top – then bottoms likewise! Let’s rock, everybody, let’s rock. Every student during this _____ block Will be dancin’ to the Math class rock. There’s one last rule that you must do, Reduce all answers before you’re through. Divide top and bottom by a number: the same. When you’re done you’ve mastered the game. Let’s rock, everybody, let’s rock. Every student during this _____ block Will be dancin’ to the Math class rock. Every student during this _____ block Will be dancin’ to the Math class rock.