Category: Grade 11
math11 week17
Tell
The things that i learnt this week are angles in standard position in quadrant 1, angles in standard position in all quadrants, the sine law, the cosine law.
s=o/h c=a/h t=o/a
SOH CAH TOA
(cos0)^+(sin0)^=1 cos^+sin^0=1
for any angle 0 in standard position, where 0=<0=<360, with terminal point P(x,y), the primary trigonometric ratios are defined as: cos0=x/y
sin0=y/r
tan0=y/x
In any ABC c^=a^+b^-2ab cos C
For any ABC a/sinA=b/sinB=c/sinc and sinA/a = sinB/b =sinc/c
Pay it forward Reflection
Dec. 18 2017 Zora Zhao
Pay it forward Reflection
I really like this movie. This is a very moving movie, it touched my heart. Also this movie is adapted from a real story.
My favourite scene of the movie is the boy helped a person who likes drug. The boy gave him his pocket money. Also take him home had a shower and dinner. The boy changed the drug addict. Finally he gave up drug and saved a woman who wanted to jump from bridge.
The part of movie that reminded you of a personal experience is the boy for protect a bullied student and die by a knife. It reminded me in our junior school I saw some people were bully other, but I was not help them. If i see it next time, I’ll help them.
The movie tells us if everybody helps each other, the world will be more friendly.
math11 week15
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The things that learnt this week are Multiplying and dividing rational expressions, Addition and subtraction of rational expressions, Addition/Subtraction with “ugly” denominators.
The strategies for multiplying and dividing rational numbers can be uesd to multiply and divide rational expressions. All non-permissible values of each expression being multiplied or divided must be stated.
how to solve it:
Divide the numerators and denominators by their common factors. Multiply the numerators. Multiply the denominators.
Since division by 0 is not permitted, any value that makes the numerator of the divisor 0 is a non-permissible value.
When the polynomial in numerator or denominator is a binomial or trinomial, it may be factored before simplifying the expression.
Math11 week 14
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The things that i learnt this week are:Graphing Reciprocal and equivalent rational expressions.
that a rational number is a quotient of two integers (ex, -2/5) so the quotient of two polynomials is called a rational expression
factoring Trinomials Different of squares ex: x^-9=(x+3)(x-3)
each valve is the same (equivale for the 2 vational expressions)
These are equivalent forms of a rational expression. to reduce a rational expression, first factor the numberator and denominator then cancel out common factors
Find the non permissible valves before reducing otherwise you might miss some
Math11week13
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The things that i learnt this week are: Absolute Value Functions and solving absolute value equations.
An absolute value function has the form y=|f(x)|, where f(x) is a function. The x-intercept of the graph of y=f（x）is a critical point. The graph of y=|f（x）| changes direction at this point..
Graph the absolute value of a linear function we should know the intercepts, domain, the range of the function. To see how to join the points with a smooth curve, sketch the graph of the quadratic function then reflect, in the x-axis, in the part that is below the x-axis.
Piecewise notation is used to describe a function that was different definitions for different subsets of the domain.
Charles Journal
Math11 week12
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The thing that i leant this week are: solving systems of equation graphically, solving systems of equations algebraically
systems is when 2 or more equations are needed to final a solution.
The equation of a linear function and the equation of a quadratic function from a linear-quadratic system of equations
The coordinates of a point of intersection of the graphs of the equations in a system are a solution of the system.
The equations of two quadratic functions form a quadratic-quadratic system of equations.
a solution of a linear-quadratic system of equations is an ordered pair,(x,y),that satisfies both equations in the system. The system may have 0,1,or2 solutions.
A solution of a quadratic-quadratic system of equations is an ordered pair that satisfies both equations in the system. The system may have0,1,2,or infinite solution.
math11 week 11
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The thing that i learnt this week are: Solving Quadratic Inequalities in One Variable, Graphing Linear Inequalities in Two Variables, Graphing Quadratic Inequalities in Two Variables.
Quadratic Inequalities is One Variable is in quadratic equation have equals sigh replaced with an inequality sigh, this is quadratic inequality in one variable.
A quadratic inequality in one variable can be written in general form as:
ax^+bx+c<0 ax^+bx+c<=0
ax^+bx+c>0 ax^+bx+c>=0
where a,b and c are constants and a not=0
Math11 Week10
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The thing that I think are difficult are arithmetic sequence, solve radical equations, solve quadratic equations.
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 )
how to solve radical equations.
Step:
1.Isolate the radical
2.Square both sides
3.Solve for X
4.Check for Extraneous roots by substituting.
how to solve quadratic equations
We can Factor the Quadratic
Or we can Complete the Square
Or we can use the special Quadratic Formula