Category: Math 10

general form, slope y intercept, point slope,

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general form:

if you ever get  a general form equation, you need to know that it tells you nothing about the equation and it is  pretty useless. general form will always have a zero at the end of the equation and the number at the start of the equation will always be positive if the number is not positive that means the equation is written in a wrong way. you also cant have any fractions in a general form equation. and example of a right general form equation is 5x-y+6=0, this equation is right because the first number is positive and there are no fractions seen in the equation and it all equals zero. a wrong general form equation would be  -8x+y-6/7=0, this is a wrong equation because the first number is a negative exponent and there is also a fraction in the equation.

point slope:
the equation point slop represents  the formula m(x,x) =y-y, you can use this type of formula when you are given two numbers and you need to put them into an equation, if you have the numbers (4,6) and (5,4) the equation would turn into 4(x-6)= y-6. the equations turned into this because we have the slope which is 4 because of the difference in the numbers and the slope will be IN front of the brackets, then you have to insert the x and the y numbers into the equation making it a -4 and – 6.

slope y intercept:

the equation slope y intercept is the y=mx+b equation. it tells you  both the slope and the y intercept. the mx part is the slope and the b is the y intercept, that means the you can graph a line on graphing paper using that formula.

 

 

core competences

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How does the artifact you selected demonstrate strengths & growth in the communication competency?

 

In what ways might you further develop your communication competency?

 Self-Reflection

 

This class has helped me a lot with my mathematics skills and it also helped me grow and learn new skills and units that I did not know of last year. This class made me make new friends and made me talk to new people so they could help me if I am stuck on anything or I could help them if they needed my help from time to time. I am looking forward for next year to experience the same things that I experienced in math 10 but even better. I am looking forward to meeting new people and learning more mathematical skills that I could use in the future.

 

 

 

This class showed that math is not just fun and games it is a subject that is very important in the future and that I will be using it later in life. This class make work showed me that math is not as easy as you think, you need to work hard in this class and need to ask questions if you are stuck on something. It showed me that you can’t memorize math in your head or do equations in your head, you need to understand the formulas that you learn every day, and to practice for a test you need to write lots of notes so you can look back to what you did already

 

 

 

How does the artifact you selected demonstrate strengths & growth in the thinking competencies?

 

In what ways might you further develop your thinking competencies?

 

 

 

How does the artifact you selected demonstrate strengths & growth in the personal & social competencies?

 

In what ways might you further develop your personal & social competencies?

 

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X-intercept & Y- intercept

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The x-intercept is a point on the graph but on the other hand the y- intercept is a zero. the y- intercept is a point on the graph where the x becomes a zero. to calculate the x intercept you have to be using the formula (y-b), m=x, where the m equals the slope, and the y equals zero and the b equals the y-intercept. the y- intercept is the point which a linear equation crosses the y- axis on the x=0 plot point, the equation to determine both the slope and the y-intercept of a line is y=mx+b.

 

domain and range

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The Range value means the difference between the lowest and the highest value in the diagram. But domain means the set on an input or argument values for which the function is defined. The domain and range of a function is all the possible values of the independent variable such as x, the rang of a function is all the possible values of the dependent variable AKA the Y. you can write domain and range in two ways, they are called the interval notation and the set notation.

ugly polynomials

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The definition of ugly polynomials is that it is a mathematical expression of one or more algebraic terms each which consists of a constant multiplied by one or more then one variable raised to a nonnegative integer power. it is the sum of several terms that contains different powers of the same variable.

factoring in polynomials

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The process of multiplying polynomials in order to return to unique string of polynomials of lesser degree whose product is the original polynomial. factoring polynomial is an action in which polynomial is represented as a product of simpler polynomials that cannot be further factored, you can factor polynomials by breaking down every term in the question into prime factors. this could expand the expression to look for factors that appear in every single term to determine the GCF.

Angle depression, Angle of evaluation

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Angle depression: The angle of depression is one of the angles in a triangle. is is the angle that lays between a horizontal line from the observer and the line of sight to an object that is below the horizontal line. to calculate a depression angle you have to use the tangent formula, TAN= opposite side/adjacent.

 

Angle of evolution: The angle of evolution is the angle that is framed by the line of sight and the horizontal line from the observer and object vertical point. it can be calculated by knowing the value of the height and the distance of the object or the triangle. the formula for finding the angle of evolution depends on knowing the information to the measures of the opposite, hypotenuses, and the adjacent side of the right tringle.

 

 

 

Sine, Cosine, Tangent

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those three words are one of the most important part of trigonometry.

 

  1. sine: the word sine is know as SOH, sine is one of the three formulas in trigonometry. that formula is used to find on of the three angle in right side triangle. to find the angle that you looking for you need to divide the measurement that is opposite to the angle that your trying yo find.

 

2. cosine: cosine that is also known as CAH is the adjacent side that is being divided by the the hypotenuse of the triangle to get the curtain  degree that you are looking for.     

 

3. tangent: tangent also know as TOA is the opposite side divided by the adjacent side. it is the only formula  beside the other two that does not need a hypotenuse as a denominator.

negative and positive exponents

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negative: a negative exponent indicates the inverse operation from a positive integer exponent. it indicates how many times to divide by the base, rather then multiply. negative are a way of writing powers of fractions or decimals without using a fractions or decimal. you have to use negative exponents as a way to combine expressions with the same base. weather the different factors are in the numerator or denominator. The more negative the exponent, the smaller the value. This is especially important in the sciences when talking about orders of magnitude.

 

Examples

1. 2-5:

2. :

GCF & LCM

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GCF: To work on the term GCF and to understand how to do you have to do a couple of steps before getting the finale answer of your equation that you are working on. first you have to brake every composite number you have into prime numbers. when you finish those steps and you have broke down the numbers you had, you should now look at all the numbers you are left with from when you broke down the first numbers then you should which numbers that all have in common, it could be 2,3. and one last step that should be remembered when doing GCF is that you shouldn’t add the last number.

 

LCM: LCM is basically the same as GCF but it has a little change in it, the similarities that it has with GCF is that you still need to brake the number you get until you get prim numbers and you cant brake it down any further.  then when you do these steps you have to figure out which numbers do the main numbers have in common. then you put all the number that they have in common together in a group. for the LCM you add the last number as well.