e.emilyyy pomona highschool math 2

EQ;What are two ways to determine when a chord is a diameter of a circle?

EQ;How are circular arcs measured?

EQ:What is the equation of a circle with center (h,k) and radius r in the coordinate plane?

Mat 2 

EQ: How are inscribed angles related to their intercepted arcs? How are the angles of an inscribed quadrilateral related to each other?

What I will learn:

• Find side lengths in special right triangles.
  
• Solve real-life problems involving special right triangles.
  

What I will learn:

• Use the Pythagorean Theorem.
  
• Use the Converse of the Pythagorean Theorem.
  
• Classify triangles.
  

What I will learn:

• Perform similarity transformations.
  
• Describe similarity transformations.
  

What I will learn:

• Use the Side-Side-Side Similarity Theorem.
  
• Use the Side-Angle-Side Similarity Theorem.
  

What I will learn:

• Use the Angle-Angle Similarity Theorem.
  
• Solve real-life problems.
  

What I will learn:

• Use similarity statements
  
• Find corresponding lengths in similar polygons
  
• Find perimeters and areas of similar polygons.
  
• Decide whether polygons are similar.
  

What I will learn:

• Perform similarity transformations.
  
• Describe similarity transformations.
  
• 
  

What I will learn:

• Identify & perform dilations.
  
• Solve problems involving scale factors and dilations.
  

What I will learn:

• Use the formula for the number of permutations.
  
• Use the formula for the number of combinations
  

Finding the Probability of Disjoint Events

Finding the Probability of Overlapping Events

What I will learn:

• Make two-way tables.
  
• Find relative and conditional relative frequencies.
  
• Use conditional relative frequencies to find conditional probabilities.
  

What I will learn:

• Determine whether events are independent events.
  
• Find probabilities of independent and dependent events.
  
• Find conditional probabilities.

Find sample spaces

find the theoretical probabilities

Find experimental  probabilities

Find odds

Explaining the Graphing quadratic Function intercept from 

and Writing Quadratic Functions

1]Vertex form of a quadratic function

2]Graphing a quadratic function in vertex form

Example #1; Using the square of a Binomial Pattern

Example #2; Using the sum & Difference Pattern

example 1; multiplying binomials using the distributive property

example 2; multiplying binomial using a table 

example 3; multiplying a binomial and a trinomail

Thins i explained were 

Finding inverse of relations

Writing a Formula for the input of a function

Finding the inverse of a function 

Evaluatting a piecewise function

Ex 1;

x < 0 |x-2| x >0|

solution;

f(0)=x-2

f(0)=101-2

f(0)=x > 0

f(0)=141 > 0

f(0)=-2 

f(0)=4

Graphing a piece wise function

Solution:  The domain is all real numbers. The range is y > -4

My Notes:

y=mx+b=

M=Slope

B=Y intercept

m=-1

b=-4

1)y intercept =-4

2) use slope to find 2nd point

3)drew a line threw the points

4) erase the line to the right of x=0

5)>/< = open circle, </> = closed circle 

Writing a piecewise function 

Solution:

f(x) ={x< 0:1x +3x > 0.2x - 1 }

answer; m(x) ={x< 0:1x + 3> 0.2x - 1}

My Notes:

1)identify y-intercept (b)

2)pick two points on the line to find the slope (m)

3)substitute m and b into y=mx+b

4)identify the end point and the x-value

5) < = left, > = right   

Extra Notes:

g(x)=|x|+3    Up and down

m(x)=|x-2|     To the right

m (x)= |x+2|   To the left

n (x)= |x+4|    Left and Right 

#PHSMath2

#SanchezP