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A To Z Project By: Chelsea Hoyle A- Algebra Tiles • Algebra tiles are used to model and simplify algebraic expressions. • They are good for sorting an expressions and making zero pairs. • Big squares represent x2 • Rectangles represent x • Small squares represent 1 • Colored tiles are positive and uncolored tiles are negitave • Before this year I had never heard of algebra tiles but now I know how to model and simplify equations using them B- Binomial • A binomial is an algebraic equation with 2 different terms in it. • I remember how many terms it is because bi means 2 so that means there are 2 terms. • Before the polynomials unit I had heard the word binomial but I didn’t know what it meant. • I now know what a binomial is and also how to solve them. • To solve binomials you group the terms that are the same together then you simplify it. C- Coefficient • The coefficient in an algebraic equation is the number beside the variable. • It is the number you use to multiply variables by. • I learned that the coefficients can be positive, negative or 0 • I also learned that when you add of subtract polynomials you add or subtract coefficients with like terms. • In this example the 2 beside the x2 is the coefficient. D- Division Law Of Exponents • The division law of exponents is that when you have the same base and are told to divide, you actually subtract the exponents. • I learned that this rule existed, if I had seen an equation with exponents and it told you to divide I would just assume that you just would divide it. E- Equivalent Fraction • Equivalent fractions are fractions that mean the same thing but have different denominator and numerator. • I already knew about equivalent fractions but I learned that you can use equivalent fractions to get a fraction into its simplest form at the end of an equation. • Another thing I learned is that equivalent fractions are made when you multiply or divide both the top and bottom of the fraction. F- Fraction • Before this year I already knew about all the different fractions, there are mixed numbers, proper fractions and improper fractions. • The new thing that I learned about fractions is that any number can be written as a fraction G- Graphing Equalities • Graphing equalities is when you have an equality for example 5x+2=y you would write that out in a t chart then you would plot those points on a graph • Before this year I knew how to plot things on graphs but I had no idea that you could relate graphing to algebra. H- Hypotenuse • The hypotenuse of a circle is the side of a right triangle that is opposite from the right angle • I already knew what a hypotenuse was before this year • The thing I learned about the hypotenuse is that you can determine weather a triangle is a right triangle given the lengths of the sides and the hypotenuse I- Improper Fraction • An improper fraction is a fraction that has a bigger number on the top then on the bottom • The thing I learned about improper fractions is that any number that is bigger then 1 can be written as an improper fraction\ J- Just do it • Just do it is the method you use to multiply fractions • It means that when you are multiplying fractions you just multiply strait across • Before this year I had never heard of just do it but now that I know it multiplying fractions has become way easier K- Kilometer • A kilometer is a unit of measure that is quite often used to measure large distances • There is 100 000 centimetres in 1 kilometer • Before this year I knew what a kilometer was but this year I learned how to convert them • I also learned that it is important to make sure all sides are measured in the same unit of measure L- Legs Of Right Triangle • The legs are the 2 shorter sides of a right triangle • The legs are used in the Pythagorean theorem to find the length of the hypotenuse • Before this year I knew what the legs of the triangle were and I knew the Pythagoreans theorem • This year I learned that those 2 things connect together M- Multiplication law of exponents • The multiplication law of exponents is that if 2 numbers base and they have exponents you add the exponents and keep the base the same • Before this year I never knew about this rule and would have just assumed that you multiply both the base and the exponents • http://youtu.be/AlmmIPS UwJo N- Numerical Coefficient • The numerical coefficient is the number the exponent in an algebraic equation • For example in 11x the 11 is the numerical coefficient • Before this year I knew what a coefficient was but I did not know the term numerical coefficient or what it meant 2 O-Opposite • An opposite in math is when you have 2 numbers that when added together you get 0 • Every number has an opposite • Before this year I knew what an opposite was • This year I learned that every number has an opposite even fractions P- Perfect Square • A perfect square is any number that is square to a rational number • Any number that you can multiply by its self to get what is called a perfect square • Before this year I had never heard of a perfect square • Now I know not only what it is but also how to find its square root, how to find a perfect square and how to know if a number is a perfect square Q- Quotient • A quotient is the answer to a division equation • I already knew what a quotient was before thi year • The thing I learned about quotients is that they can be a fraction • I also learned how to find the quotient of an algebraic equation and of an equation with fractions R- Reciprocal • A reciprocal is when you have an equation with fractions and you need to divide them, you flip the second set of fractions then multiply and his is called a reciprocal • Before this year I did not know what a reciprocal was and I didn’t know how to divide 2 fractions • I now know what a reciprocal is and how to use it to find he quotient of an equation with fractions S- Surface Area • The surface area is the amount of space that is showing on the outside of an object • Before this year I just assumed that te surface area and the area ofan object were the same thing • I learned that the surface area and the area are different and what the difference is • I also learned how to find the surface area of an object T- Trinomial • A trinomial is a polynomial with 3 different terms in it • It is called a trinomial because tri means 3 and there are 3 different terms in a trinomial • Before this year I had never heard of a trinomial before • I now know how to solve and simplify algebraic equations that are trinomials • I also know the meaning of a trinomial now U- Unlike Terms • Unlike terms are when you have different exponents and variables in an equation • Unlike terms are opposite of like terms • Before this year I had not heard of and would not know exactly what like terms were • I now know how to tell if an equation has like or unlike terms • I also know that you can not simplify an equation with all unlike terms only V- Variable • A variable is in an algebraic equation • It is the letter part of an algebraic expression and is most commonly an x • Before this year I knew what a variable was but I did not know how to simplify equations with variables in them • I now know how to simplify equations with variables and how to solve for x if given the right info W- Whole Number • Whole numbers that are full fractions • For example 5/5 is a whole number because it is equal to 1 • Before this year I knew what whole numbers were • This year I learned that even whole numbers can be written as a fraction by putting them over 1 X- X Axis • The x- axis is the horizontal axis of a grid or on a graph • When you read coordinates to plot on a graph the x- axis always comes first because x is first in the alphabet • Before this year I knew which axis was the x- axis • What I learned this year is how to read coordinates properly to plot them • I also learned how to relate it and use it with plotting algebraic equations Y- Y Axis • The y- axis is the vertical axis of a graph or grid • When you read coordinates to lot on a graph the y- axis will be second because it comes after x • Before this year I already knew what the y- Axis was • What I learned this year is how to read coordinates properly to plot them • I also learned how to relate it and use it with plotting algebraic equations Z- Zero Pairs • Zero pairs are when you cancel out a number by matching it with its opposite to make 0 • Before this year I knew what zero pairs were • I only knew how to use them in normal math equations to simplify • I now know how to simplify algebraic equations by making zero pairs • I als0 know how to use zero pairs to isolate x