Thursday, October 14, 2010

Linear Graph/Equation (Quiz4/5 solution)

Posted by Mr Johari

Quiz 4 (Solution)

Quiz 5 Solution


CAT 1 Q1


CAT3 Q12

Wednesday, October 13, 2010

Tuesday, October 12, 2010

GEometry 5 (Review Self Practise)

posted by Mr Johari


posted by Mr Johari

Please refer to Mathematics Department Googlesite for information on your Final Assessment.


1. Format

  • 2 Papers
  • Paper 1 – 60 minutes
  • Paper 2 – 1 hour 15 minutes
  • Calculator is allow for both papers
  • Students are required to bring along all necessary stationery including mathematical instrument sets
  • No borrowing of stationery is allow during the examination

2. Topics tested

  • Chapter 1 – Factors and Multiples
  • Chapter 2 – Real Numbers
  • Chapter 3 – Approximation and Estimation
  • Chapter 4 – Introduction to Algebra
  • Chapter 5 – Algebraic Manipulation (Include Expansion of Quadratic expression, Use of Algebraic rules in Expansion and Factorisation of Quadratic expression, Factorisation of Quadratic expression using Cross-Multiplication method)
  • Chapter 6 – Simple Equation in One Unknown
  • Chapter 7 – Angles and Parallel Lines
  • Chapter 8 – Triangles and Polygons
  • Chapter 9 – Ratio, Rate and Speed
  • Chapter 10 – Percentage
  • Chapter 11 – Number Pattern
  • Chapter 12 – Coordinates and Linear Graphs (Include calculation of Gradient using 2 coordinates point, Equation of a straight line )
  • Chapter 16 – Data Handling (Include Mean, Mode and Median)

GEometry 5 (Polygon)

posted by Mr Johari
Task 1: Complete the worksheet on Polygon given in class. Use the slides below as reference. You could also use the info from ACE Learning
Task 2: Attempt the Quiz questions from ACE Learning on Polygon (angles)
Understanding Properties of Different types of Polygons

Monday, October 11, 2010

VIVA See Toh Q1, Q12

Viva Voce, Category 1, Question 1 Click here >

Viva Voce, Category 3, Question 12 Click here>

Sunday, October 10, 2010

Hardy's Viva Voice 2010

Category One, Question Five: Click here!
Category Two, Question Six: Click here!
Category Three, Question Thirteen: Click here!

Note: Sorry, I made a mistake for Category Three, Question Thirteen. I typed the intro wrong.

VIVA JIA LE Q5, 10, 15

CAT1Q5, CAT2Q10, CAT3Q15




ViVA STACEY Q5, 10, 15

CAT1Q5, CAT2Q10, CAT3Q15

ViVA JOHANAN Q2, 7, 11





CAT1Q3, CAT2Q10, CAT3Q13









Thursday, October 7, 2010

VIVA VOCE 2010 (EDITED please read)

posted by Mr Johari

Viva Voce
Linear Equation / Expression

You are required to complete a viva voce assessment. This is a reinforcement of familiar activity based on topics covered in class. This will also helped you with your revision process. You should not take more than 1 hour to complete the entire exercise.

The instruction, questions and assessment rubric can be downloaded from your class Maths googlesite under VIVA 2010.
Your task is to select any 3 questions, one from each category (1, 2 and 3) and record your explanation.
Your explanation must be concise, relevant and clear.
You may use any suitable multimedia platforms for this. Ensure that the file is not too large for uploading or posting.

Grading will be based on
Part 1: Problem Solving Skills and Strategies
Part 2: Concept and Mathematical Communication

Submission and Deadline
Please post your videos in your Class Maths Blog or upload to youtube and post the link in the comments.
Name your videos/posts using the header VIVA name category question eg. VIVAJohariCategory1Question1 by 10 October 2010

All the best - its the mathematical precision that we are looking for ...

for your reference

Tuesday, October 5, 2010

Geometry 4 (summary)

posted by Mr Johari
Summary 1
Point, Ray, Line, Segment, Angles etc
Summary 2
Angles, Parallel Lines, Polygons
Application of Geometry (in the real world)

Thursday, September 30, 2010

geometry 3

posted by Mr Johari

Task 1
Find the definition of the following
(a) line bisector
(b) angle bisector

Task 2
Watch the following videos and learn how a line is bisected
Video 1

Video 2

Task 3
Complete the worksheet on CONSTRUCTION.

(a) TASK 1: To construct: an angle of 60°.

(b) TASK 2: To construct: the angle bisector of a given angle.

(c) TASK 3: To construct: A line through R perpendicular to PQ.

(d) TASK 4: To construct: A line through R parallel to PQ.

(e) TASK 5: To construct: A line 3 cm from PQ and parallel to PQ.

Monday, September 27, 2010

Geometry 2

posted by Mr Johari

source: e-learning Mathematics activity
Task 2

Now go to 102 Maths blog and comment on the posting by the students on the following question:
Please follow the appropriate protocol in giving comment:
.1 no malicious comment
.2 must be responsible for your own comment - identify yourself
.3 focus on the process and answer not the person
.4 focus on the concept and the explanation given - check clarity and understanding

work to comment on
a. Lionel
b. Goh Jia Sheng

reference: Properties of Quadrilateral

Recapitulation of Questions posted for your reference
Choose either 1: Question 2 or Question 3 or Question 4

Question 2:
Which of the given statements is correct? Justify your answer/s with examples.

A ) A square and a parallelogram are quadrilaterals.
B ) Opposite sides of a square and a parallelogram are parallel.
C ) A trapezoid has one pair of parallel sides.
D ) All the above

Question 3:

A quadrilateral is drawn on a piece of paper. It has one pair of opposite sides equal in length, the other pair not equal in length, and a pair of opposite angles that are supplementary1. Identify this figure, and justify your answer with reasons.

' sum of two angles equals 180degrees'

Question 4:
‘All parallelograms are squares?’ Do you agree with this statement?
Justify your answer with example/s.

Geometry 1

posted by Mr Johari
the definition of points, segment, ray and plane

A. Task (odd numbered index only)
working independently and using the wall-wisher ACTIVITY 1 identify the a) attributes & characteristics and b) the symbol/notation used for
1. point
2. lines
3. segment
4. ray
5. plane

the fundamental angle properties.
B. Task (even numbered index only)
working independently and using the wall-wisher ACTIVITY 2 identify the following angle properties (please include a diagram to illustrate your responses)
1. complementary angle
2. supplementary angle
3. angles at a point
4. vertically opposite angles
5. corresponding angles
6. internal angles

REVIEW: The following video shows the differences between a right, acute, obtuse and straight angle.

Sunday, September 19, 2010

Angles and Parallel Lines 1

posted by Mr Johari
source: GCSEBitesize


An angle can be defined as two rays or two line segments having a common end point. The endpoint becomes known as the vertex. An angle occurs when two rays meet or unite at the same endpoint.

1. How may degrees are there in one full turn?
2. Imagine you are facing North. You turn clockwise through 90 degrees. Which direction are you facing now?
3. Imagine the capital letter M. What letter does it look like when it's rotated 180 degrees?
4. An angle less than 90 degrees is known as ...
5. An angle between 90 degrees and 180 degrees is known as ...
6. If two of the angles inside a triangle are 90 degrees and 50 degrees, what is the third angle? What angle property/properties did you use in you reasoning?
7. Are the lines in the capital letter L parallel or perpendicular?
8. Will two parallel lines ever cross? Why?
Post your answers under comment:

Monday, September 6, 2010

linear Inequality (Intro)

posted by Mr Johari
Introduction to Linear Inequalities
  • Suppose you have a gift card for $100 to an electronics store and want to spend it on CDs and DVDs. You want a special-edition DVD that costs $24.99, and the CDs you want are all on sale for $11.99 each. Assuming that you use only the gift card and you are going to buy the DVD, what is the maximum number of CDs you can buy?
  • You know you can buy at least one CD. What about two CDs? It can be time consuming to keep checking.
  • Suggest ways to solve this problem.
  • Post your solution to

Tuesday, August 31, 2010

Algebra: Revision (Algebraic Fraction)

posted by Mr Johari


Solving Equa

Video 1: Solving Multi-Step Equations with Fractions

Video 2: Solving Equations with Fractions


Linear Graph (worksheet 12B)

posted by Mr Johari


Monday, August 30, 2010

linear Graph resource

posted by Mr Johari
reference of Linear Equation. (click here)
  • Focuses on
  • What is linear equation?
  • Plotting and Table of Values
  • Slope / Gradient of a Line
  • Slope and y-intercept (how to form a Linear Equation)

Friday, August 27, 2010

linear Graph worksheet (Equation) solution

Linear Graph (Equation of Line)
posted by Mr Johari

Worksheet focuses on the following concept:
  • gradient of line
  • intersection with both axes (i.e. x-intercept and y-intercept)
  • sketch of line

Linear Graph worksheet (Gradient) solution

Linear Graph (Gradient of a Line)
posted by Mr Johari

reference on Linear Equation, Gradient, intercepts.
Slideshare on Linear Equation

Supplementary Worksheet on Linear Graph
This worksheet focuses on the concept of gradient
Please refer to hard copy of the worksheet given to you earlier.

Wednesday, August 25, 2010

Level Test

Level Test Term 3
posted by Mr Johari

Level Test
As mentioned at the beginning of the term, the Mathematics level test will be conducted in week 10.
Detail will be as follows:
Duration: 40 minutes

Topics tested:
  • Introduction to Algebra [chapter 4]
  • Algebraic Manipulation [chapter 5]
  • Simple Equations in one unknown [chapter 6]
  • Coordinates and Linear Graph (sketching of graph, concept of equation of line and gradient) - [chapter 12]

Tuesday, August 24, 2010

linear Graph part 2

Linear Graph (Chapter 12)
posted by Mr Johari

This is a supplementary note that focuses on linear equation:
Part 2: Graphing Linear Equation (Exercise)
Complete the 2 exercises, state your answers as comments. Where possible justify your answers with simple working.

Question 1: focuses on the linear graph of the form y = mx + c

Question 2: focuses on the characteristics of the linear graph.
[Coordinate, gradient/slope, intercept, equation]

Linear Graph part 1

Linear Graph (Chapter 12)
posted by Mr Johari

This is a supplementary note that focuses on plotting of a linear equation:
Part 1: Graphing Linear Equation
Method 1: Given linear equation, plot the graph.
Technique: Using plotting points and coordinates. (i.e. identify any points for x and find corresponding values of y for plotting)

Method 2: Given linear equation, plot the graph.
Technique: Using gradient and y-intercept
Form the general linear equation ie. y=mx+c, where m is the gradient and c is the y-intercept.

Exercise: (for self practice - answer provided)
Given a linear line, find the equation of the line.