New Due Date for Math Performance Task

The deadline is changed to 5 April 2013.

A02 E question 15

(3x)^lg3=(4x)^lg4

(3^lg3)(x^lg3)=(4^lg4)(x^lg4)

(3^lg3)/(4^lg4)=(x^lg4)/(x^lg3)
                       =x^(lg4-lg3)

[(3^lg3)/4^lg4)]^(1/lg4-lg3)=x

x=1/12

Performance Task 1

updated on April 2013

updated for clarity

Additional Question

Quadratic Equation (Type of Roots)

A02 EEEEEEE question 15 (Marcellus working)

15) Find the exact value of x if (3x)^1g3 = (4x)^1g4

First, I add log to both sides.

lg (3x)^lg3 = lg (4x)^lg4

Then i will bring down the power

(lg3)(lg 3x) = (lg4)(lg 4x)

Expand

(lg3)^2+(lg3)(lgx) = (lg4)^2+(lg4)(lgx)

Change of subject

(lg3)^2-(lg4)^2 = (lg4)(lgx)-(lg3)(lgx)

Factorise

(lg3)^2-(lg4)^2 = (lgx)[(lg4)-(lg3)]

Change the subject of equation to (lgx)

lgx = [(lg3)^2-(lg4)^2]/[(lg4)-(lg3)]

Further simplify

lgx = -(lg3+lg4)

=-lg12

Remove lg from both sides

x = 12 ^(-1)
x=1/12 #

Math File Check (Selected Students)

The following students have been randomly selected for file check by the Mathematics Department:

Index no 4, 7, 9, 13, 18 & 21.

Checklist:

1. Is there a content page?

2. Did I complete all my corrections?

Please ENSURE that your file is in order and ready by 13Mar (Wed) in class before your Math lesson.

Reflection - Maths Level Tests

There are two separate reflections for Elementary Mathematics and Additional Mathematics. Please scroll down to the next two posting to complete your reflection.

AM Level Test Reflection

EM Level Test Reflection

Revision: Solving Quadratic Equation

Revision : Solving Quadratic Equations

source: http://www.regentsprep.org/Regents/math

Let us review what has been done in previous 2 years.

Math File Check

Please bring your Math file to class by 4Mar. You should have completed the filing and corrections.