TI84 Exercise

Assessment in term 4 2013

Dear SSTudents,

1. Performance Task 2 (in lieu of Elementary Mathematics)

As mentioned earlier the deadline of the PT2 is 16 September 2013 @ 2359. To date many students have submitted their products with high quality questions and 'proof's.  Effective use of ICT tools (google, Blog, Geogebra, Keynote, Powerpoint, Pretzi etc) have further enhanced the final product.

2. Paper 3 (in lieu of Additional Mathematics)

The assessment information will be as follows:
Date:    23  September  2013 (Monday)
            (Please be punctual and ensure you have a heavier meal in the morning)
Time:   3.00 pm to 4.00 pm
Venue: Auditorium
Note that you are required to sit according to your classes and index numbers. The teachers will supervise you on this.

Logistic:
TI84 Graphic Calculator (or other approved GC model)
(no other calculator will be allowed)
Stationery - pen and ruler

3. Information on EOY
Please refer to your class math blog or google site earlier entries on this.


All the best - you can do it because we have faith in you but do you!

Update on Assessment (i) PT2 (ii) P3 (iii) EOY

(1) Performance Task 2

This constitutes the Elementary Mathematics component of Assessment.

The performance task focuses on the topic of Geometrical Proof - Circle Properties. (please refer to Blog entry on Mathematics Performance Task 2)

Deadline for submission is Term 4 Week 1 (first lesson)

(2) Paper 3

This constitutes the Additional Mathematics component of Assessment.

This will be conducted in Term 4.

Students are expected to familiarise themselves with GC-TI84+.

(please refer to your Math teacher on information on use of GC-TI84+)

(3) End-of-Year Examination: Mathematics

Information pertaining to the Maths exam has been communicated to the students in the GoogleSite (as well as the Maths blog).

Elementary Mathematics paper 1

Date: 27 September 2013 (Friday)

Duration: 1 hour 30 minutes

Elementary Mathematics paper 2

Date: 30 September 2013 (Monday)

Duration: 2 hours

Additional Mathematics

Date: 4 October 2013 (Friday)

Duration: 2 hours 30 minutes

Table of Specification

A. Elementary Mathematics
•   Numbers and the four operations (moe 1.1)
•   Algebraic representation and formulae (moe 1.5)
•   Functions and graphs (moe 1.7)
•   Algebraic manipulation (moe 1.6)
•   Solutions of equations and inequalities (moe 1.8)
•   Properties of circles (moe 2.3)
•   Coordinate geometry (moe 2.6)
•   Trigonometry
•   Mensuration

B. Additional Mathematics

(A1) Equations and inequalities 

       Conditions for a quadratic equation

       Solving simultaneous equations in two variables with at least one linear 
equation, by substitution

       Relationships between the roots and coefficients of a quadratic equation

       Solving quadratic inequalities, and representing the solution on the number line

(A2) Indices and surds

       Four operations on indices and surds, including rationalising the denominator

       Solving equations involving indices and surds

(A3) Polynomials and Partial Fractions

       Multiplication and division of polynomials

       Use of remainder and factor theorems

       Factorisation of polynomials

       Partial fractions

(A4) Binomial Expansions

(A5) Power, Exponential, Logarithmic, and Modulus functions

(G1)  Trigonometric functions, identities and equations.

• ·       Six trigonometric functions for angles of any magnitude (in degrees or radians)
• ·       Principal values of sin–1x, cos–1x, tan–1x
• ·       Exact values of the trigonometric functions for special angles  
(30°,45°,60°) or (π/6,  π/4,  π/3)
• ·       Amplitude, periodicity and symmetries related to the sine and cosine functions 

• ·       Graphs of y  = asin(bx) ,     y  = a sin(x/b + c),    y  = acos(bx) ,     y  = a cos(x/b + c) and               y  = atan(bx) , where a is real, b is a positive integer and c is an integer.
• ·       Use of the following
• ∗   (BASIC TRIG RULES)
•      sin A/cos A=tan A,
•      cos A/sin A=cot A,    
•      sin2A+cos2A=1,
•      sec2A=1+tan2A,
•      cosec2A =1+cot2A
•      (DOUBLE ANLES)
•      the expansions of sin(A ± B), cos(A ± B)  and tan(A ± B)
•      the formulae for sin 2A, cos 2A and tan 2A
•      (R-FORMULA) - the expression for acosu +  bsinu in the form Rcos(u ± a) or R sin (u ± a)
•      Simplification of trigonometric expressions
• ·    Solution of simple trigonometric equations in a given interval (excluding 
general solution)
• ·    Proofs of simple trigonometric identities

(G2) Coordinate Geometry

       Condition for two lines to be parallel or perpendicular

(G2) Linear Law

       Transformation of given relationships, including   y = axn and y = kbx, to linear form to determine the unknown constants from a straight line graph

Resource and References

The following would be useful for revision:

• Maths Workbook
• Study notes
• Homework Handouts
• Exam Prep Booklets (that was given since the beginning of the year)
• Ace Learning Portal - where they could attempt practices that are auto-mark
• Past GCEO EM and AM questions (students were recommended to purchase these at the beginning of the year)

(4) General Consultation and Timed-trial during the school holidays

During the school holidays, there would be a timed-trial on Monday 9 September 2013 (Monday). The focus would be on Additional Mathematics and students are strongly encouraged to attend.

Duration: 0800 - 1030 (2 hours 30 minutes) 

Mathematics Performance Task 2

Due Term 4 Week 1 (first Mathematics Lesson)

the file could be downloaded from google site.

Please fill-up this form once you have submitted the work.

Essential GC skills for Paper 3

View each video carefully and learn these fundamental GDC skills.

1. Basic Graphing Controls
a. Zoom Options
http://www.youtube.com/watch?v=r7DWbhWd9zE&list=PLB1A524363687A860

b. Setting the Window
http://www.youtube.com/watch?v=a_uJpI6LXr4

2. Graphing Basics

a. Graph a line and find the table of values:
http://www.youtube.com/watch?v=3WctC2xCnI0

b. Finding coordinates of turning points of a graph:
http://www.youtube.com/watch?v=pXRbQv8gauI

c. Finding intersection between two graphs:
http://www.youtube.com/watch?v=M-1QUYQbYHM
(comes with exercises)

d. Finding roots and y-intercept of a graph:
http://www.youtube.com/watch?v=TGWrsnPNfnM

3. PlySmlt2
a. Using PlySmlt2 for Solving Quadratic Equations
http://www.youtube.com/watch?v=NBRzvsJ6ros

b. Using PlySmlt2 to Solve a System of Equations
http://www.youtube.com/watch?v=Dyox4aNR0Zc

c. Using PlySmlt2 to Solve Polynomial Equations
http://www.youtube.com/watch?v=3CoNcxnVbtY

TI-84 TRIGO GRAPHING

Semester 2 Update

1. Scheme of Work (Syllabus for Semester 2)

Term 3

Wk 1       (AM)  LINEAR LAW

Wk 2-3    (EM) TRIGONOMETRY

                        - Sine Rule, Cosine Rule, bearings, Angle of Elevation, 3D problems (EM)

Wk 4-6    (AM) TRIGONOMETRY (AM)

Wk 7   (EM) PROPERTIES OF CIRCLES 

Wk 8       (AM) CIRCULAR MEASURE

Wk 9-10  (AM) BINOMIAL THEOREM 

Term 4

Wk 1 Revision

Wk 2 EOY Exam

Self Directed Learning (AM) URVES & CIRCLES

2. Assessment 

Level Test 2 (10%) 

Wk 7-8

format:   1 hour

Marks:    40 marks

Topics

EM

     Coordinate Geometry

     Trigonometry

AM

     Coordinate Geometry

     Trigonometry

     Linear Law

Paper 3 - AM (10%) 

PT2       - EM (10%)

Notes on graph plotting

~ Use suitable scale

        - Write down scale on the graph paper

~ Use about 2/3-3/4 of the page

        - Allows you to maximize the scale, making your graph more accurate

~ Label axis

~ Accuracy of graph: Half a small square box

~ Must show vertical/y intercept (Especially important for linear law)

~ Show your table of values

        - At least 3 points 

AM and EM Assessment Book (GCE O format)

To assist students in their revision and preparation for GCE 'O' Level, the Mathematics Department has made arrangement with the bookshop to order the following 2 books for the students.

The information is as follows:

• Additional Mathematics by topic $7.00
• Mathematics by topic $5.50

Both will include solution booklet

Please make arrangement with your Math teacher on the procedures for purchases.

Graph Transformation (Summary)

Pg 200 Notes

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.

Indices HW A02A Q6G

ORIGINAL Question:

ADJUSTED Question:

Alternative method for Q25(b) Pg123 Surds

All roads lead to Rome. Which road do you prefer to take?

Alternative road (be careful of the change of sign when you apply the brackets):

Road taken in class today:

A02A 6.g) answer

(2t+3)/3(t+1)^4/3

Announcement 21/1

1. Please bring $158 on the 24/1 (Thursday) for the TI graphical Calculator.

2. Please prepare the following files:

Mathematics - Orange Arch File
Additional Mathematics - Yellow Arch File

Pg 42 Practice 04 Answers

Math Diagnostic test answers / Workings

Hi, the pictures below contain the ans / workings. 

For question 7, it involves using the remainder theorem. (refer to A-math TB pg 16)

MATH OLYMPIAD

Please complete this by 13 January 2013
.

GCP - ITALY

Please complete this by 13 January 2013

BEGIN WITH THE END IN MIND

by Mr Johari

Welcome to an exciting year 2013
Success comes with adequate preparation and as a start do take note of the following.

1. Know your Syllabus for 2013.
    Elementary Mathematics 4016 (SEAB site)
    Additional Mathematics 4038 (SEAB site)

2. Right Resources.
    SST Maths Note (Sec 3 term 1)
    Optional Reference Book
    Calculator (with approved SST seal)
    SST Foolscap paper and graph papers (for assignments)
    ICT Resources (Class Maths Blog, ACE Learning, graphing tools etc)

3. Assessment for 2013
    Term 1   Level Test 1 + Authentic Assessment         10% + 10%
    Term 2   Common Test 1                                         20%
    Term 3   Level Test 2 + Authentic Assessment         10% + 10%
    Term 4   End of Year Summative Assessment          40%
  
4. Diagnostic Test will be conducted as Follows:
    Beginning of new topic
       - to assess prerequisite knowledge and linkages to new knowledge
    End of topic
       - to assess level of understanding and competency
    duration - 20 -30 minutes

5. Daily learning and monitoring platforms
    Class work -  in the form of activities and practice questions
    Assignment - to be done on SST foolscap papers
                         (or SST exercise books - pending style of teacher)
    all classwork to be completed within designated time

6. Character is Destiny
    Your destiny should begin with your daily routines
    A.   Be Present
    B.   Listen without Prejudice
    C.   Be Socially Aware (we are after all living in a gregarious community)
    D.   Manage your impulses
    E.   Know that the choice that you have chosen has its own consequences