Curriculum Briefing P6 Foundation Mathematics,
Vision A community of confident and motivated pupils who are both effective problem solvers and team players.
Mission To equip pupils with the necessary mathematical knowledge and skills for everyday life and for continuous learning in mathematics and related disciplines.
MOE MATHEMATICS CURRICULUM FRAMEWORK B eliefs Interest Appreciationion C onfidence Pers everance Monitoring of one s own thinking Self-regulation of learning Numerical calculation Algebraic manipulation Spatial visualization Data analysis Measurement Use of mathematical tools Estimation Mathematic al P roblem S olving Concepts Numerical Algebraic Geometrical Statistical Probabilistic Analytical R easoning, communication & connections Thinking skills & heuristic s Applic ation & modelling
Revised PSLE Format Paper 2 allows pupils the use of calculators to solve problems. Only calculators that are approved by SEAB will be allowed for use in the examinations. ( Casio fx - 95SG PLUS) The list of approved calculators is available on the SEAB website - http://www.seab.gov.sg Booklet on Instructions for PSLE candidates
Types of Assessments When are pupils assessed? Non-weighted Assessments Weighted Assessments Term 1 to Term 4 Hands-on activities Maths Practices eg. workbook exercises, class worksheets heuristics worksheets Mental Sums Mock Tests Questioning and Feedbacks Mid Year Exam (SA1) Prelim Exam * Dates and details will be provided
Exam Format Paper Item Type Number of 1 Booklet A MCQ Booklet B Short Answer Qns Questions 10 10 Marks Per Question 1m 2m Weighting 10% 20% 10 2m 20% 1 hour Break Duration 1 h No calculators 2 Short Answer Qns Structured / Long Answer Qns 10 2m 20% 1h 30min 8 3m,4m,5m 30% The use of calculators is allowed. Total 48-100% 2h 30 min
Good Time Management is Important Paper 1 ( 60 min) Paper 2 (90 min) 30 Questions Average Time spent for each Question 1 min ( 1 x 30 = 30 ) 2 min ( 2 x 30 = 60 ) 18 Questions Average Time spent for each Question Time left for checking answers 20 min No time to check! Time left for checking answers 5 min ( 5 x 18 = 90 ) No time to check! 6 min ( 6 x 18 = 108 ) No time to finish and check!
Primary 1 Primary 2 & 3 Primary 4 Primary 5 Primary 6 Whole Numbers Measure ment Geometry Whole Numbers Measure ment Geometry Whole Numbers Measure ment Geometry Whole Numbers Measure ment Geometry Whole Numbers Measure ment Geometry Data Analysis Data Analysis Fractions Data Analysis Data Analysis Data Analysis Fractions Fractions Fractions Decimals Decimals Decimals Spiral Approach Math Curriculum Percentage Ratio Ratio Percentage Ratio Speed
What is Problem - Solving? Problem - Solving is the ability to handle unusual situations where routine procedures are not available.
(1) Routine questions : Assess pupils knowledge, basic computation skills and familiar word problems
Example The figure below shows a rectangle. What is its perimeter? 7 cm 10 cm Perimeter (10 + 7) cm x 2 = 34 cm Ans: 34 cm
(2) Non- Routine questions : Assess pupils Thinking Skills and require pupils to show competencies that are beyond computational proficiency
Example The figure below is made up of 3 squares of different sizes. Line AB is a straight line, measuring 10 cm. Find the perimeter of the figure. A B = 10 cm Perimeter of the figure 10 cm x 4 = 40 cm
4 - STEPS FOR PROBLEM-SOLVING: POLYA S MODEL Step1: Understanding the Problem. What are the key words? How would you describe the problem in your own words? Step 2: Plan Select the strategy to solve the problem. More than one strategy may be adopted. Try common heuristics (Model drawing, systematic listing, find a pattern, draw a diagram) Step 3: Do Use computational skills add, subtract, multiply, divide Use mathematical tools ruler, metre ruler Use thinking skills classifying, comparing, sequencing, identifying pattern Step 4: Check Read your question again to make sure you have answered the question. Check the working step by step. Start with your answer and work backwards and check if the results satisfy the given conditions.
Problem Solving Heuristics are general methods or strategies of achieving a solution to a given problem.
Thinking Skills Classifying using relevant attributes to sort, organise and group information Comparing using common attributes to identify commonalities and discrepancies across numerous sets of information Sequencing place items in a hierarchical order according to a quantifiable value Identifying patterns and relationship recognise two or more attributes in a relationship that yields a reliable or repeated scheme Induction drawing a general conclusion from clues gathered (from specific to general) Deduction inferring various specific situations or examples from given generalizations Spatial Visualization visualizing a situation or an object and mentally manipulating various alternatives for solving a problem related to situation or object without concrete manipulatives
Whole School Heuristics Approach No. Heuristics P1 P2 P3 P4 P5 P6 1 Model Drawing: Part and Whole 2 Model Drawing: Comparison 3 Model Drawing: Multiplication and Division 4 Model Drawing: Before and After 5 Systematic Listing 6 Find a Pattern 7 Draw a Diagram 8 Restate The Problem 9 Guess and Check 10 Working Backwards 11 Make an Assumption
Presentation of Answers Alicia bought 8 plates and 5 cups. Each cup cost $2.50 and each plate cost $4.90 more than a cup. How much did she pay altogether? (To use instead of = to show a relationship ) 5 cups $2.50 x 5 = $12.50 1 plate $4.90 + $2.50 = $7.40 8 plates $7.40 x 8 = $ 59.20 Total $59.20 + $12.50 = $71.70 Ans: $71.70 (To insist on writing caption or sentence tag)
In a donation drive, 40 volunteers helped to distribute some goodie bags. Each man distributed 4 bags while each woman distributed 3 bags. The men distributed 34 more bags than the women. How many men were there? (Use Guess & Check) No. of men No. of bags dist. by men No. of women No. of bags dist. by women Difference Check if the difference is 34 40 40 x 4 = 160 0 0 160 0 = 160 39 39 x 4 = 156 1 1 x 3 =3 156 3 = X 153 22 22 x 4= 88 18 18 x 3 = 54 88 54 = 34 X Decrease By 7 Difference 160 34 = 126 Groups of 7 126 7 = 18 Number of women 18 Number of men 40 18 =22 There were 22 men. Headings, Working and Condition for Checking must be shown clearly. Include word statement.
Angles in Geometric Figures In the figure below, ABCD is a square, AED is an equilateral triangle and BFD is a straight line. Find AFB. A B 60? F 60 O E 45 D C DAE = 60 o ( ) ADF = 45 o AFD = 180 o (60 o + 45 o ) = 75 o AFB = 180 o 75 o = 105 o To state reasons wherever possible
Draw a Timeline A movie started at 11.45 a.m. The movie was 2 hours and 25 minutes long. What time did the movie end? 1h 1 h 15 min 10 min 2.10p.m. 2p.m. 11.45 a.m. 12.45 p.m. 1.45 p.m. The movie ends at 2.10 p.m. Ans: 2.10 p.m. 11.45 + 2h 25 mins 2.10p.m.
Pupils are expected to 1. set own goals know what they want to achieve 2. complete and hand in work on time 3. present solutions in an organised way, showing important steps or workings and standard units 4. take note of their mistakes in their work and do corrections 5. go through their answers and check them carefully 6. seek help from teacher to clarify any doubts
Common codes used during marking of Maths questions/word problems Codes Representations WM CC TE MR MC MS Wrong method to arrive at the same answer Careless calculation (method is correct) Transfer Error (within solution) Misread (From question to solution) Missing sentence tags/captions Missing number sentences
Support from Parents 1. To ensure your child attend school regularly and punctually 2. School work is to be done first 3. Guide and not tell them how to do the work 4. Time management help to administer each revision Paper 1 and Paper 2 5. To ensure no calculators is used in daily work unless calculator logo is indicated 6. Talk about Maths as used in day-to-day situation 7. Should you have any concerns, do make an appointment to see your child s teacher to discuss 8. If your child/ward has difficulty with her homework, do not give her the answers but guide her with questions and indicate on the homework assisted or guided.
Programmes and Activities Maths @ Recess Games Maths Quiz HGS e-learning portal: MC Online: http://www.mconline.sg Primary 6 Mathematics Quiz Look at the Algebra Magic Square below. The sum along each row, column and diagonal equals to the same magic sum. Some of the expressions have fallen off the square. Fill in the blanks to make the square magic again! 2 x + 2 3 x + 2 2
Maths Games Every Monday during recesses
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