GENERAL AND SPECIFIC COMPETENCIES IN MATHEMATICS IV
(Advanced Algebra, Trigonometry and Statistics)

A. Functions
1. Demonstrate knowledge and skill related to functions in general 1.1 Define a function
1.2 Differentiate a function from a mere relation
* real life relationships
* set of ordered pairs
* graph of a given set of ordered pairs
* vertical line test
* given equation
1.3 Illustrate the meaning of the functional notation f(x) 1.4 Determine the value of f(x) given a value for x
B. Linear Functions
1. Demonstrate knowledge and skill related to linear functions and apply in solving problems
1. Define the linear function f(x) = mx + b
2. Given a linear function Ax + By = C, rewrite in the form f(x) = mx + b and vice versa 3. Draw the graph of a linear function given the following: * any two points

* x and y intercepts
* slope and one point
* slope and the y-intercept
4. Given f(x) = mx + b, determine the following: * slope
* trend: increasing or decreasing
* x and y intercepts
* some points
5. Determine f(x) = mx + b given:
* slope and y-intercept
* x and y intercepts
* slope and one point
* any two points
6. Solve problems involving linear functions
C. Quadratic Functions
1. Demonstrate knowledge and skill related to quadratic functions and apply these in solving problems
1.1 Identify quadratic functions f(x) = ax2 + bx + c
1.2 Rewrite a quadratic function ax2 + bx + c in the form f(x) = a(x-h)2 + k and vice versa
1.3 Given a...

...Level 1/Level 2 Certificate
Mathematics
Specification
Edexcel Level 1/Level 2 Certificate in Mathematics
(KMAO)
First examination June 2012
Edexcel, a Pearson company, is the UK’s largest awarding body, offering academic
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...Name _______________________________________ Score ______________________
Section __________________________
REVISING IN MATHEMATICS IV
A.Y. 2014 - 2015
(Science Class)
General Directions: Analyze the following statements then write the correct answer.
I. MULTIPLE CHOICES
Directions: Read the following test items carefully. Write the letter of the correct answer.
1. Which of the following is a polynomial function?
a. P(x) = 3x-3 – 8x2 + 3x + 2 c. P(x) = 2x4 +...

...Collin Doyle
Mrs. Perino
Math 48A.01
11 January 2013
Homework 1.2: P. 19-21 #’s 23-24, 66-67, 70, 73, 74a-b, 76
23) Problem: Explain how to determine whether a parenthesis or a square bracket is used when graphing an inequality on a number line.
Solution: a. Parenthesis: indicate a range of values, open interval, I think of parenthesis as being the parent that is more open to given their child toys and bending the rules.
b. Brackets: has limits between two numbers, closed...

...equation is normally expressed as a polynomial in the parameter 's' of the Laplace transform, hence the name 's' plane.[1]
Complex plane using Argand diagrams show the z-plane, where z = x + iy and may use z-Transforms as well as the Laplace. In mathematics and signal processing, the Z-transform converts a discrete time-domain signal, which is a sequence of real or complex numbers, into a complex frequency-domain representation. It can be considered as a discrete-time...

...Semi-Detailed Lesson Plan in Mathematics (Transformations)
Level: First Year High School
Subjects: Mathematics, Geometry, Transformations
I. Objectives:
A. To recognize Euclidean transformations.
B. To recognize reflections, translations, and rotations.
C. To prove theorems related to transformations.
D. To solve problems involving transformations.
E. To apply transformations to real-world situations.
F. To create designs using transformations....

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UNIVERSITY OF CAMBRIDGE INTERNATIONAL EXAMINATIONS General Certificate of Education Ordinary Level
.c rs om
ADDITIONAL MATHEMATICS
4037/01
Paper 1 May/June 2004
2 hours
Additional Materials: Answer Booklet/Paper Graph paper (3 sheets) Mathematical tables
READ THESE INSTRUCTIONS FIRST If you have been given an Answer Booklet, follow the instructions on the front cover of the Booklet. Write your Centre number, candidate number and name...

...Contribution of India in mathematics
The most fundamental contribution of India in mathematics is the invention of decimal system of enumeration, including the invention of zero. The decimal system uses nine digits (1 to 9) and the symbol zero (for nothing) to denote all natural numbers by assigning a place value to the digits. The Arabs carried this system to Africa and Europe.
1) Aryabhata is the first well known Indian mathematician. Born in Kerala, he...

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Set (mathematics)
From Wikipedia, the free encyclopedia
This article is about what mathematicians call "intuitive" or "naive" set theory. For a more detailed account, see Naive set theory. For a rigorous modern axiomatic treatment of sets, see Set theory.
An example of a Venn diagram
The intersection of two sets is made up with the objects contained in both sets
In mathematics, a set is a collection of...