Complex compound sentence
I love tea and coffee, but i cannot drink much, since they contain cocaine.
I prefer coffee nor juice, although they are my love.
Mary may go to shopping or she is in the cafe, though I’m not sure.
Complex sentence
The café is very peaceful, as I expected.
Because my coffee was too cold, I heated it
Though café house is very beautiful, it is still few people.
Tell
the thing that I learned this weekend is Modelling with quadratic equations.
we should focus on Writing a quadratic function to model to a problem, then solve the problem.
We should determining maximum or minimum related to operations with numbers.
We can list the table and draw the graph for solve the problems.
The opening direction is only related to the quadratic coefficient, greater than zero opening upward, less than zero opening downward.
Discuss the People of the Arctic Timeline and review the answers with the students. (10 mins)
Read page 26 about Food and Housing. What kind of foods do the Arctic People eat? Would you eat the same food? Describe what their housing looks like? Could you live in the Arctic? (20 mins) fish berries. i can eat them. look likes tent. No too cold.
Look at page 32. Why are people relocating all the time? (20 mins)
Because of food shortages
Look at page 43. Why are there so many Indigenous peoples of the Arctic countries? Did the number surprise you? Yes or No? Why or Why not?
Was expelled by the Indians. this number surprised me. because live in Arctic is hard . Arctic is cold.
tell
the thing that I learned this week are: analyzing quadratic functions of the form y=a(x-p)^2+p and equivalent forms of the equation of a quadratic function.
The effect of changing q in y = x^2+q
The graph of y=x^2+q is the image of the graph of =x^2 after a vertical translation of q units. when q is positive sigh the graph moves up, when the q is negative sigh the graph moves down.
The effect of changing p in y=(x-p)^2′
The graph of y=(x-p)2 is the image of the graph of y=x2 after a horizontal translation of p units. when p is negative sigh the graph moves right when p is positive sigh the graph moves left.
The effect of changing a in y=ax^2
the a greater then 1, the graph is stretched vertically. the a between 0 n 1 the graph is compressed vertically. a less then -1 the graph is stretched vertically and reflected in the x-axis. a between -1 and 0 the graph is compressed vertically and reflected in the x-axis.
Axis of symmetry: x=p
Vertex(p,q)
congruent to y = ax^2
Tell
The thing that I learned this week are Solving Quadratic Equations by Factoring, Using Square Roots to Solve Quadratic Equations and Developing and Applying the Quadratic Formula.、
x^2-2x-8=0 contains a quadratic or second degree term, a term with a variable that is squared and no higher degree term, such an equation is called a quadratic equation.
That is, if ab=0, then a = 0 or b = 0 or a = b = 0.
This is called the zero product property.
When the Discriminant (b2−4ac) is:
How to solve it:
We can Factor the Quadratic
Or we can Complete the Square
Or we can use the special Quadratic Formula
Tell
The thing that I learned this week are solving radical equations and factoring polynomial expressions.
The left side is equal to the right side, so the solution is: x=20
Taking a square root is the inverse of squaring.
These inverse operations are used to solve radical equations.
Step:
1.Isolate the radical
2.Square both sides
3.Solve for X
4.Check for Extraneous roots by substituting.
(√5x-9)-2=7
5x-9>0
x>1.8
(√5x-9)-2=9
5x-9=81
5x=90
x=18
Tell
The thing that I learned this week are Simplifying Radical Expressions, Adding and Subtracting Radical Expressions, Multiplying and Dividing Radical Expression.
radicand is consists of index, radicand and coffcient .
And Roots include the Square Roots, Cube Roots and other Roots.
If √ssasdasdasda16=4 ,So it’s the perfect Square, because 4 is an integer.
If ³√8=2, So it’s the perfect cube.
And √x2=|x| , to simplify radicals with index 2.
All square numbers are greater than or equal to 0,so the expression √x has a real number value only when x is greater than or euqal to 0. √x is defined for X∈R, x>=0
Tell
The thing that I learn this week are Infinite Geometric Series, Absolute Value of a Real Number
Absolute Value is the principal square roof of the square of the number.
Every real number can be represented as a point on a number line.
The sigh of the number indicates its position relative to 0 .
The magnitude of the number indicates its distance from 0 .
On the number line below, each of the numbers -2 and 2 is located 2 units from 0. So, each number has an absolute value of 2 . This is written as:|-2|=2 and |2|=2
|6|=√（6）^2 |-6|=√(-6)^2
the distance from 0 is 6. 6^2=36 √36=6 so |6|=√(6)^2 |-6|=√(-6)^2
Tell
The thing that I learn this week are arithmetic sequence, arithmetic series, geometric sequences and geometric series.
In an arithmetic sequence, the difference between consecutive terms is constant. This constant value is called the common difference.
The General Term of an Arithmetic Sequence is :tn = t1 + d( n – 1 ) When the terms of an arithmetic sequences are added together it is known as an arithmetic series.
The sum of n terms of an arithmetic series: Sn = n(t1+tn)/2 or Sn = n[2t1+d(n-1)]/
A Geometric sequence is formed by multiplying each term after the 1st term by a constant, to determine the next term. The constant is the common ratio,r, of any term by the preceding term. tn=a*r^(n-1) A geometric series is the sum of the terms of a geometric sequence. So the sum of n terms of a geometric series. Sn=t1(1-r^n)/1-r , r not = 1
PART1: 1,3,5,7,9…….
t50=t1+(n-1)d
t50=1+49*2=99
tn=1+(n-1)*2=1+2n-2=-1+2n
PART2: Sn=n/2(t1+t50)=25*(1+99)=2500