Linear Graph/Equation (Quiz4/5 solution)

Quiz 4 (Solution)

Quiz 5 Solution

Algebra Factorization (Revision)

Algebraic Factorization Online Quiz

View more presentations from achmadnizar.

GEometry 5 (Review Self Practise)

posted by Mr Johari

FINAL ASSESSMENT

posted by Mr Johari

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

SECONDARY ONE END OF YEAR EXAMINATION

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)

Polygon Notes

View more presentations from acavis.

Understanding Properties of Different types of Polygons

Great Polygon Powerpoint

View more presentations from Sandra Harris.

VIVA JONATHAN Q1, Q8, Q13

CAT1Q1

http://www.youtube.com/watch?v=MhkBoVJgS-o

CAT2Q8

http://www.youtube.com/watch?v=hikza0W_1Jk

CAT3Q13

http://www.youtube.com/watch?v=533WCdLPK-M

Question7category2

<object width="425" height="344"><param name="movie" value="http://www.twitvid.com/player/KH7QN"></param><param name="allowscriptaccess" value="always"></param><param name="allowFullScreen" value="true"></param><embed type="application/x-shockwave-flash" src="http://www.twitvid.com/player/KH7QN" quality="high" allowscriptaccess="always" allowNetworking="all" allowfullscreen="true" wmode="transparent" height="344" width="425"></embed></object>

VIVAZhixiangCategory1Question5,6,11

VIVA MOHIT Q5, 10, 11

CAT1 Q5

http://www.megaupload.com/?d=UZ9Q2Y2J

CAT2 Q10

http://www.megaupload.com/?d=YNQ5M083

CAT3 Q11

http://www.megaupload.com/?d=VCWC0YL9

note from Mr Johari (I am not able to link to the files) pls advise

VIVA ALPHA CHUA Q1, 10, 11

CAT1Q1

CAT2Q10

CAT3Q11

VIVA DANIEL Q5, 7, 11

CAT 1Q5

CAT 2Q7

CAT 3Q11

VIVA VIVEK Q1, 7, 11

CAT1Q1

CAT2Q7

CAT2Q13

Vivek

This material is subject to copyright and copying other's work is unwanted behavior so please do not do so.

ViVA KIEREN Q2, 7, 11

CAT1Q2

CAT2Q7

CAT3Q11

ViVA AMRIT SINGH Q

VIVA Adam CAT 3 Qns 11

VIVA Adam CAT 1 QNS 1

ViVA MIRZA Q5,11

CAT1Q5

CAT2Q10

CAT3Q11

ViVA ELIJAH Q1,7,14

CAT1Q1

CAT2Q7

CAT3Q14

Viva Elijah Q1,7,14

http://www.twitvid.com/UEURB

ViVA TAN ZHI YONG Q1,7,14

CAT1Q1

CAT2Q7

CAT3Q14

ViVA KUN YAO Q1,8,11

CAT1Q1

CAT2Q8

CAT3Q11

ViVA ABIGAIL Q1,8,11

CAT1 Q1

CAT2 Q8

CAT3 Q11

ViVA SAMUEL Q5,7,11

CAT1Q5

CAT2Q7

CAT3Q11

ViVA CATHERINE Q5,6,12

CAT1Q5

CAT2Q6

CAT1Q12

Viva Voce Category 1 Question 1

Sorry! Forgot to put the link along with the last email -.- 

http://www.twitvid.com/HHYII

VivaVoce Category 1 Question 1 Samuel

I posted in on twitvid since youtube wasn't working for me.

VIVA VOCE 2010

posted by Mr Johari

Viva Voce
Linear Equation / Expression
INSTRUCTION:

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.

Task
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
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 Blogs

( nurjohari.viva2010S105@blogger.com ) 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

VIVA VOCE 2010

geometry 4 (summary)

posted by Mr Johari

source: http://www.craville.110mb.com/maths

Summary 1

Point, Ray, Line, Segment, Angles etc

Geometry Vocabulary

View more presentations from Jeniah Jones.

Summary 2

Angles, Parallel Lines, Polygons

Geometry

View more presentations from Kristen T.

Application of Geometry (in the real world)

Geometry in the Real World

View more presentations from Connor Johns.

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.

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

c. Idris

d. Karan

e. Benz Kew

f. Tay Kun Yao

g. Elijah Wong

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

Objectives:

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

Objectives:

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.

Geometry 0 (intro)

posted by Mr Johari

source: GCSEBitesize

Task:

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:

Algebra: Revision (Algebraic Fraction)

posted by Mr Johari

ALGEBRAIC FRACTION

Revision:

Solving Equa

Video 1: Solving Multi-Step Equations with Fractions


Video 2: Solving Equations with Fractions


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Linear Equation (Worksheet 12B)

posted by Mr Johari
Solution to WORKSHEET 12B − GRADIENTS & LINEAR EQUATIONS









































-----------------------------------------------------------------------------------------------------------------

Linear Equation (Graph) reference

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)

linear Graph worksheet (Equation) solution

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 2 (Gradient) solution

posted by Mr Johari

answers to Linear Graph 2 (Gradient)

Level Test

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]

linear Graph part 2

posted by Mr Johari

source: http://www.math.com/school

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

posted by Mr Johari
source: http://www.math.com/school/subject2/lessons/S2U4L3DP.html

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.

Maths eLearning Week Kenneth Teh

Sorry Mr Johari for the really later submission. I am truly sorry about it.

Question 1:

I agree with this statement, because a square has 4 sides and 2 pairs of parallel lines, so it is a rhombus. However, a rhombus does not have any perpendicular lines, so it is not a square.

Question 3:

It is a trapezium. The sum of the opposite angles of a trapezium are equal, i agree with that, as the sum of the opposite angles of a trapezium are equal.

Question 5:

Yes it is a parallelogram because the lengths of the opposite sides of BFDE are equal, and thesum of the angles of each side is 180 degrees.

Questions 1, 2 and 4 by Catherine Lim Kai Ting

Q1... 'A square is a rhombus but a rhombus is not a square'.

Technically, that sentence is correct as square has four sides and all four sides have the same length and it is the same for a rhombus except that a rhombus need not be made up of four right-angles (perpendicular lines).

Q2... Which of the given statements is correct? Justify your answer/s with examples.

A ) A square and a parallelogram are quadrilaterals.
- This statement is correct as the meaning of quadrilaterals is a figure with four sides and a square and a parallelogram both have four sides.

B ) Opposite sides of a square and a parallelogram are parallel.
- This statement is also correct as squares are made up of two parallel lines and a parallelogram is also made up of two parallel lines.

C ) A trapezoid has one pair of parallel sides.
- Trapezoid is a type of quadrilateral with a set of parallel line. The other two lines are vertical and diagonal and cannot be considered a second set of parallel line.

D ) All the above

Hence, the answer is D, all of the above.

Q4... 'All parallelograms are squares?' Do you agree with this statement?

No, I do not agree with the statement. Parallelograms is a shape that is made up of two parallel lines which may or may not be of the same length. A square is also made up of two parallel lines but they are of the same length.

:P Sorry for submitting this work late. I hope the answers are right and you are satisfied with them :)

Matthew ... questions 1, 2 and 4

Question 1

Basically all the squares as they have all the properties of a rhombus

2 paris of parallel lines

all the lines are straight Properties of a rhombus

the lines are all of equal length

2 paris of parallel lines

all the lines are straight Properties of a square

the lines are all of equal length

All the angles inside are 90 degrees

so we can consider a square a rhombus since it has all the properties of it but we cannot say that a rhombus is a square as it lacks 1 property of a square.

Question 2

D ( answer )

A is true because a quadrilateral is a figure that has 4 sides.

B is true as you can see in the below diagrams

C is true as shown in the below diagram

Question 4

No I do not agree with the statement as though all squares are parallelograms but not all it cannot be the inverse as the parallelogram lacks 2 of the properties of a square

2 paris of parallel lines

all the lines are straight Properties of a square

the lines are all of equal length

All the angles inside are 90 degrees

2 paris of parallel lines

all the lines are straight Properties of a parallelogram