motivasi m3 2008(1).ppt
TRANSCRIPT
WORKSHOP ON THE WORKSHOP ON THE TECHNIQUES OF TECHNIQUES OF
ANSWERING ANSWERING MATHEMATICS UPSRMATHEMATICS UPSR
QUESTIONSQUESTIONSPN. FAZURA BT MOHD NOORPN. FAZURA BT MOHD NOOR
SK St.John(2) SK St.John(2)
Kuala LumpurKuala Lumpur
TOPICS FOR MATHEMATICS UPSRTOPICS FOR MATHEMATICS UPSR
1.1. Numbers and OperationsNumbers and Operations - - AddAddSubtractSubtractMultiplyMultiplyDivideDivide
2.2. FractionsFractionsDecimalsDecimalsPercentagePercentage
3.3. Mixed OperationMixed Operation4.4. AverageAverage4.4. MoneyMoney5.5. Shape and SpaceShape and Space6.6. MeasurementMeasurement -- TimeTime
LengthLengthMassMassVolume of Volume of
liquid liquid
7.7. GraphGraph
NUMBERS AND OPERATIONS
Basic skills in Mathematics.
Pay careful attention to place value and digit value.
Skills on rounding off numbers are important.
Skills on addition and multiplication
Skills on subtraction and division will be tested in your UPSR
MT 015/2 - Basic Skills
MT 015/1 - Solving Problems
(applications skills and critical thinking skills)
FRACTIONS, DECIMALS AND PERCENTAGE
These topics are related with one another.
Concept is less than one
⅜ of the questions asked are related to the topics above.
Fractions - on denominators
Decimals - decimal points
Percentage - X 100 %
Usually asked on problem solving questions
fractions multiply a whole number
Look for key words in the questions and understand what is asked for.
Practice on completing fractions and understand vocabulary related to the topics.
MIXED OPERATIONS AND AVERAGE
Has its own principles and formulas.
Mixed Operation - BO DM AS
For MT 015/2, you must show your workings clearly and make sure you are confident with your workings. Do not
show 2 methods and expect the teacher to choose for you.
Average -
Questions on Average for MT 015/1 are usually on how to find the total when the average is given.
For finding the total :
a. Multiply average with number of quantities.
b. add all the number of quantities given.
c. product (a.) take away with the total (b.)
d. if asked for 2 equal amount- divide by 2
PurataJumlah
Bilangan Bilangan
Jumlah
Purata
Jumlah Purata Bilangan
MONEYValue for RM and sen.
write sen in RM vice - versa.
Operation involving conversion of value.
Problem solving involving:
1. Tables
2. Incomplete bills
3. Income and Spending
4. Percentage, fractions
5. Average
6. Mixed Operations
7. Cost Price and Selling Price – Profit and Loss
Bare in mind that questions on problem solving on Money also involves combination of other topics and skills.
SHAPE AND SPACEMust have sides or boundaries
Shapes like rectangles, squares, triangles, circles and others.
Combination of shapes and solids
Know the characteristics of shapes and solids
Recognize the sides of the shape or solids
Use the formulas for finding:
1. perimeter - adding all outer sides
2. Area of - length x width/breadth
Area of - base x height ÷ 2
3. Volume - length x width x height
Questions on Problem Solving on this topic will also include fraction, percentage and money.
Important: you must also know how to find the sides.
MEASUREMENT
TOPICSTOPICS
TIMETIME
LENGTHLENGTH
WEIGHT/MASSWEIGHT/MASS
VOLUME OF VOLUME OF LIQUIDSLIQUIDS
Read the toolsRead the tools
Analyze the toolsAnalyze the tools
Conversion of unitsConversion of units
24 hours system24 hours system
Fractions on timeFractions on time
durationduration
OperationOperation
Problem SolvingProblem Solving
Difficult question Difficult question that carries 3 marksthat carries 3 marks
GRAPHS
Interpret data
Analyze data
Read data
Construct from data
Questions on graph will be asked in MT 015/1
TYPES OF QUESTIONS IN
MT 015/1
Mechanical Questions
Questions on Diagrams, Bills and Tables
Questions on situations/ Problem Solving
Questions on number lines:
Whole Numbers
Decimals
Fractions
Questions on graph
STRATEGY IN SOLVING PROBLEMS
UNDERSTAND
PLAN
SOLVE
CHECK
STEPSREAD THE QUESTION
WHAT IS GIVEN
WHAT IS ASKED FOR
HOW TO SOLVE IT
SOLVE IT
CHECK IT
COMMUNICATION IN MATHEMATICS
Types of communication - language
- information from diagrams
- understanding from symbols and formula
Key words
example : After a discount of 30%, the total selling price of 4 similar T-shirts is RM 140.
What is the cost price of a T-shirt?
A RM42 C RM98
B RM50 D RM200
Understand what the question is asking?
Convert it to mathematical sentence/number sentence.
HOW TO MANAGE INFORMATION
Information from questions, diagrams and tables.
Show or jot down information
CCTS information from questions given.
Self Interaction:
What is the meaning?
Any similarities.
What does it signify?
Any other connection with other things in the question.
Example:
Diagram 12
Diagram 12 shows a cuboid with a volume of
300 . A cube of sides 4 cm is cut from the cuboid. What is the volume, in cm³, of the portion
that is left?
A 236
B 252
C 284
D 296
4 cm
cm3
1. Previous knowledge:
2. Reading:
Key words:
What is given?
What is asked for?
3.How to manage information given?
Seen Hidden
4.How to solve the problem?
5. Checking
TYPES OF QUESTIONS IN MATHEMATICS PAPER 2, 015/2
QUESTIONS ON BASIC OPERATIONS
QUESTIONS ON DIAGRAMS / TABLES
QUESTIONS ON SIMPLE SITUATIONS
1 mark
Marks given only for correct answer.
TOPICS
Whole numbers
Basic operations
Fractions
Decimals
Time
Shape
2 marks
Marks given to workings and
correct answer.
TOPICS
Mixed Operations
Average
Fractions
Decimals
Money
Shape and Space
Time
Percentage
3 marks
Division of marks:
1 mark
•reading of tools
•conversion of units/new values
1 mark
• correct operation used
1 mark
•Correct answer
TOPICS
Measurements
Shape and Space
Money
Percentage
Technique Of Answering Mathematics Paper 2 Technique Of Answering Mathematics Paper 2 Questions (015/2)Questions (015/2)
1.1. Technique of constructing and copying Technique of constructing and copying tablestables
If you are not able to remember your If you are not able to remember your tables/how to convert units, write down the tables/how to convert units, write down the tables/units first before you start answering tables/units first before you start answering the questions.the questions.
2.2. Technique of answering diagrams/tablesTechnique of answering diagrams/tables
For questions on diagrams/tables (esp. For questions on diagrams/tables (esp. questions on perimeter, measurements tools questions on perimeter, measurements tools etc.) it is best for you to write down the etc.) it is best for you to write down the appropriate units or hidden information appropriate units or hidden information before you continue to solve the problem.before you continue to solve the problem.
Technique of Answering Mathematics Paper 2 Technique of Answering Mathematics Paper 2 (015/2)(015/2)
3.3. Technique of drawing diagrams or tablesTechnique of drawing diagrams or tables
For questions on problem solving which do not For questions on problem solving which do not show any diagrams or tables, it is better for you to show any diagrams or tables, it is better for you to understand the question by drawing diagrams or understand the question by drawing diagrams or tables or jotting down the important notes.tables or jotting down the important notes.
4.4. Important: Important:
Questions on problem solving must be Questions on problem solving must be solved systematically or follow the correct solved systematically or follow the correct steps.steps.
Notes:Notes:
a.a. All workings must be shown All workings must be shown clearly. clearly.
You may lose marks if you do You may lose marks if you do not show the correct steps.not show the correct steps.
Please do your work Please do your work
systematically.systematically.
Note:Note:
b.b. Do not send booklet that Do not send booklet that is not answered.is not answered.
It is better for you to It is better for you to answer part of the question answer part of the question than leaving it blank. You than leaving it blank. You may get some marks for may get some marks for the part that you have the part that you have answered.answered.
Note:Note:
c.c. Use 2B pencil when answering Use 2B pencil when answering all questions.all questions.
Answers must be neat, clear Answers must be neat, clear and systematic.and systematic.
Your booklet must be clean.Your booklet must be clean.
Do not draw or scribble Do not draw or scribble anything that is not asked for.anything that is not asked for.
Remember!Remember!
Do not forget to check your Do not forget to check your workings and answers.workings and answers.
Answer confidently.Answer confidently.