TOPICS FOR MATHEMATICS UPSR

1.   Numbers and Operations       -   Add
                                      Subtract
                                      Multiply
                                      Divide
2.   Fractions
     Decimals
     Percentage
3.   Mixed Operation
4.   Average
5.   Money
6.   Shape and Space
7.   Measurement              -       Time
                                      Length
                                      Mass
                                      Volume of liquid
8.   Graph / Data handling
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 dan 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.                      Jumlah              Jumlah
                    Purata =                            Bilangan =
 Average                       -
                               Bilangan                              Purata

                                   Jumlah = Purata × Bilangan


 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
MONEY
 Value 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 SPACE
 Must 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
     TOPICS           Read the tools

                      Analyze the tools

   TIME              Conversion of units

                      24 hours system
   LENGHT
                      Fractions on time
   WEIGHT/MAS
    S                 duration

                      Operation
   VOLUME OF
    LIQUIDS           Problem Solving

                      Difficult question
                       that 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



                    STEPS
READ 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
                         formulae
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:
                               4 cm




                       Diagram 12
        Diagram 12 shows a cuboid with a volume of
        300 cm3 . 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
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             2 marks     3 marks
Marks given only    Marks given to    Division of marks:
for correct          workings and
                                      1 mark
answer.             correct answer.
                                      •reading of tools
                                      •conversion of
                                      units/new values
TOPICS
                   TOPICS             1 mark
                                      • correct operation
Whole numbers      Mixed Operations   used
Basic operations   Average            1 mark
                   Fractions
Fractions                             •Correct answer
                   Decimals
Decimals                              TOPICS
                   Money
Time
                   Shape and Space    Measurements
Shape              Time               Shape and Space
                   Percentage
                                      Money
                                      Percentage
Technique Of Answering Mathematics Paper 2 Questions (015/2)


1.   Technique of constructing and copying tables

     If you are not able to remember your tables/how to
     convert units, write down the tables/units first before
     you start answering the questions.


2.   Technique of answering diagrams/tables

     For questions on diagrams/tables (esp. questions on
     perimeter, measurements tools etc.) it is best for you
     to write down the appropriate units or hidden
     information before you continue to solve the problem.
Technique of Answering Mathematics Paper 2 (015/2)




3.   Technique of drawing diagrams or tables

     For questions on problem solving which do not show any
     diagrams or tables, it is better for you to understand the
     question by drawing diagrams or tables or jotting down the
     important notes.

4.   Important:

     Questions on problem solving must be solved systematically
     or follow the correct steps.
Notes:
a. All workings must be shown clearly.

   You may lose marks if you do not
   show the correct steps.

    Please do your work
   systematically.
Note:

b. Do not send booklet that is not
   answered.
   It is better for you to answer part
   of the question than leaving it blank.
   You may get some marks for the part
   that you have answered.
Note:
c. Use 2B pencil when answering all
   questions.
   Answers must be neat, clear and
   systematic.
   Your booklet must be clean.
   Do not draw or scribble anything that is
   not asked for.
Remember!
   Do not forget to check your workings
    and answers.

   Answer confidently.
ALL THE BEST




       THANK YOU

Teknik Menjawab Matematik

  • 2.
    TOPICS FOR MATHEMATICSUPSR 1. Numbers and Operations - Add Subtract Multiply Divide 2. Fractions Decimals Percentage 3. Mixed Operation 4. Average 5. Money 6. Shape and Space 7. Measurement - Time Length Mass Volume of liquid 8. Graph / Data handling
  • 3.
    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 dan division will be tested in your UPSR MT 015/2- Basic Skills MT 015/1 - Solving Problems (applications skills and critical thinking skills)
  • 4.
    FRACTIONS, DECIMALS ANDPERCENTAGE 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.
  • 5.
    MIXED OPERATIONS ANDAVERAGE 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. Jumlah Jumlah Purata = Bilangan = Average - Bilangan Purata Jumlah = Purata × Bilangan 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
  • 6.
    MONEY Value forRM 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.
  • 7.
    SHAPE AND SPACE Must 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.
  • 8.
    MEASUREMENT TOPICS  Read the tools  Analyze the tools  TIME  Conversion of units  24 hours system  LENGHT  Fractions on time  WEIGHT/MAS S  duration  Operation  VOLUME OF LIQUIDS  Problem Solving  Difficult question that carries 3 marks
  • 9.
    GRAPHS Interpret data Analyze data Readdata Construct from data Questions on graph will be asked in MT 015/1
  • 10.
    TYPES OF QUESTIONSIN 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
  • 11.
    STRATEGY IN SOLVINGPROBLEMS UNDERSTAND PLAN SOLVE CHECK STEPS READ THE QUESTION WHAT IS GIVEN WHAT IS ASKED FOR HOW TO SOLVE IT SOLVE IT CHECK IT
  • 12.
    COMMUNICATION IN MATHEMATICS Typesof communication - language - information from diagrams - understanding from symbols and formulae 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.
  • 13.
    HOW TO MANAGEINFORMATION 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.
  • 14.
    Example: 4 cm Diagram 12 Diagram 12 shows a cuboid with a volume of 300 cm3 . 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
  • 15.
    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
  • 16.
    TYPES OF QUESTIONSIN MATHEMATICS PAPER 2, 015/2 QUESTIONS ON BASIC OPERATIONS QUESTIONS ON DIAGRAMS / TABLES QUESTIONS ON SIMPLE SITUATIONS
  • 17.
    1 mark 2 marks 3 marks Marks given only Marks given to Division of marks: for correct workings and 1 mark answer. correct answer. •reading of tools •conversion of units/new values TOPICS TOPICS 1 mark • correct operation Whole numbers Mixed Operations used Basic operations Average 1 mark Fractions Fractions •Correct answer Decimals Decimals TOPICS Money Time Shape and Space Measurements Shape Time Shape and Space Percentage Money Percentage
  • 18.
    Technique Of AnsweringMathematics Paper 2 Questions (015/2) 1. Technique of constructing and copying tables If you are not able to remember your tables/how to convert units, write down the tables/units first before you start answering the questions. 2. Technique of answering diagrams/tables For questions on diagrams/tables (esp. questions on perimeter, measurements tools etc.) it is best for you to write down the appropriate units or hidden information before you continue to solve the problem.
  • 19.
    Technique of AnsweringMathematics Paper 2 (015/2) 3. Technique of drawing diagrams or tables For questions on problem solving which do not show any diagrams or tables, it is better for you to understand the question by drawing diagrams or tables or jotting down the important notes. 4. Important: Questions on problem solving must be solved systematically or follow the correct steps.
  • 20.
    Notes: a. All workingsmust be shown clearly. You may lose marks if you do not show the correct steps. Please do your work systematically.
  • 21.
    Note: b. Do notsend booklet that is not answered. It is better for you to answer part of the question than leaving it blank. You may get some marks for the part that you have answered.
  • 22.
    Note: c. Use 2Bpencil when answering all questions. Answers must be neat, clear and systematic. Your booklet must be clean. Do not draw or scribble anything that is not asked for.
  • 23.
    Remember!  Do not forget to check your workings and answers.  Answer confidently.
  • 24.
    ALL THE BEST THANK YOU