RKA Math - Ms. Gordon

e premte, 11 prill 2008

Links to regentsprep.org Imaginary Numbers

e diel, 6 prill 2008

Aims week of 4/7:

Aim 43: What is the inverse of a function?
hw: pg 508 2,4,6,8,10,12

Aim 44: What is a square root function?
hw: pg 509 16, 18,20,30,32

Aim 45: How can we solve using the quadratic formula?
hw: pg 531 2,4,6,8

Aim 46: What does the discriminant tell us about a quadratic?
hw: pg 532 28,30,32,34,37,42

Aim 47: How do we find the x and y intercepts of a quadratic?
hw: none

Link to regentsprep.org Inverse Functions

link to regentsprep.org Inverse Functions
http://www.regentsprep.org/Regents/math/algtrig/ATP8/inverselesson.htm

link to graphically represent an inverse function on regentsprep.org
http://www.regentsprep.org/Regents/math/algtrig/ATP8/applesson.htm

link to quadratic formula:
http://www.regentsprep.org/Regents/math/algtrig/ATE3/quadformula.htm

link to discriminant
http://www.regentsprep.org/Regents/math/algtrig/ATE3/discriminant.htm

link to summary:
http://www.regentsprep.org/Regents/math/algtrig/ATE3/QuadLesson.htm

e enjte, 3 prill 2008

Links on quadratics

Link to jmap.org : regents review questions

http://www.jmap.org/JMAP/RegentsExamsandQuestions/3-AdobePDFs/WorksheetsByTopic/QUADRATICS/RR_QUADRATIC_FUNCTIONS.pdf

e hënë, 31 mars 2008

Math Competition - Problem # 6

MATHEMATICS PROBLEM SOLVING COMPETITION

SEMESTER 2, 2007-8

THREE WEEK PROBLEM #6

TWENTY FOUR

Create the number 24 by using only a 1, 3, 4 and 6.

The only operations symbols you may use are those

for addition, subtraction, multiplication and division.

You may use parentheses.

In how many different ways can you get 24?

You must show your all your working.

********************************************

Due Date: Friday, April 18, 2008

**********************************************************

Remember:

* Your entry must clearly show your name, school name, mathematics class code, teacher’s

name and date of submission

* All steps must be clearly shown.

* The most accurate and best presented entry will win the prize.

* Your mathematics teacher will give you credit for your entry and you will also receive a

certificate for participating.

**************************************************************************************

MPSC THREE WEEK PROBLEM #6, 2007-8 Tom Frossinakis (AUSSIE) March 30, 2008

e diel, 30 mars 2008

Aims week of 3/31:

Aim 38: How can we find the vertex of a parabola?
hw: pg 501 1-4, 8, 12, 18

Aim 39: How can we model using parabolas?
hw: pg 502 22,24,30,32,36, 37

Aim 40: How can find x intercepts; review factoring
hw: pg 511 2-12 even

Aim 41: more on parabolas
hw: study for test

Aim 42: Chapter Test on Quadratics
Given an equation ---> sketch a graph
Given a graph ---> write an equation
Given an equation ---> find the vertex (max / min)
Factor
Solve word problems (find vertex (h,k))
hw: none

e mërkurë, 26 mars 2008

Quadratic Equations

Try it yourself:

http://hotmath.com/util/hm_flash_movie.html?movie=/
learning_activities/interactivities/translating_scaling.swf&
return_to=undefined&title=Transforming%20Functions

Graphing Form and Standard Form As you have worked with quadratic functions, equations, and expressions you have regularly seen two forms. One is known as graphing (or vertex) form, the other is known as standard form.

A quadratic equation in GRAPHING or VERTEX FORM looks like:

Y = a(x–h)² + k.

- the vertex is (h,k) and the axis of symmetry is the line x=h.
- the parabola opens up when a is positive and opens down when a is negative.
- if |a| > 1, the graph will be narrower than the graph of y = x²

- if |a| <1, the graph will be wider than the graph of y = x^ 2

For example, the equation Y = 3(x–1)² – 5 is in graphing form where a = 3, h = 1, and k = –5.

The following quadratic equation represents the same parabola as y = 3(x – 1)² – 5, but it is written in what is generally called standard form. For y = 3x² – 6x – 2, a = 3, b = –6, and c = –2.

A quadratic equation in STANDARD FORM is written as y = ax² + bx + c.

The vertex of a parabola locates its position on the axes. The vertex serves as LOCATOR POINT for a parabola. The other shapes we will be investigating in this course also have locator points. These points have different names but the same purpose for each different type of graph.