Mathematics and Science
Mathematics Curriculum
A pproaches
1. CPA
2. Spiral
3. Bar modelling
4. Heuristics
A spiral math curriculum is a teaching method that introduces new math concepts, practices them, and then revisits them. This approach is often used in math because many skills are used repeatedly, but with increasing complexity.
A pproaches
A spiral math curriculum is a teaching method that introduces new math concepts, practices them, and then revisits them. This approach is often used in math because many skills are used repeatedly, but with increasing complexity.
Multiplication stops at P5
3. Multiplication and Division
3.1 concepts of multiplication and division
3.2 use of x
3.3 multiplying within 40
3. Multiplication and Division
3.1 multiplication tables of 2, 3, 4, 5 and 10
3.2 use of +
3. Multiplication and Division
3.1 multiplication tables of 6, 7, 8 and 9
3.2 multiplying and dividing within the multiplication tables
2. Factors and Multiples
2.1 factors, multiples and their relationship
2.2 determining if a 1-digit number is a factor of a given number within 100
3. Four Operations
3.1 multiplication algorithm
up to 4 digits by 1 digit
up to 3 digits by 2 digits
2. Four Operations
2.2 order of operations without calculator
2.3 use of brackets without calculator
Fraction starts at P2
1. Fraction of a Whole
1.1 fraction as part of a whole
1.2 notation and representations of fractions
1. Equivalent fractions
1.1 equivalent fractions
1.2 expressing a fraction in its simplest form
2. Addition and subtraction
2.1 adding and subtracting two related fractions within one whole with denominators of given fractions not exceeding 12
2. Fraction of a Set of Objects
2.1 fraction as part of a set of objects
1. Fraction and Division
1.1 dividing a whole number by a whole number with quotient as a fraction
1.2 converting fractions to decimals
1. Four Operations
1.2 dividing a whole number/proper fraction by a proper fraction without calculator
3. Addition and Subtraction
3.1 adding and subtracting fractions with denominators of given fractions not exceeding and not more than two different denominators
*Extracted from MOE syllabus A pproaches
Bar models are most often used to solve number problems with the four operations – addition and subtraction, multiplication and division.
A pproaches (Heuristics)
Heuristics are strategies that increase likelihood of solving a problem.
The following figure is made up of 4 identical squares. Part of the figure is shaded. What is the ratio of the area of the shaded part to that of the unshaded parts?
Heuristic: Restate the problem
Area of shaded part = 1 unit
Area of unshaded parts = 3 units
The ratio is 1 : 3.
Science Curriculum
Make me wonder
Activity
Give answer
Improve
Check me
Make me wonder
THE 5e MODEL IN SCIENCE
1. engage
Time to ask, “Why did that happen?” What can you find out about a new topic?
2. explore
Let’s form new predictions, test and record our ideas and observations! Ask questions.
3. explain
Time to explain, question, listen, and refer to prior learning to assess our understanding.
5. evaluate
Finally, demonstrate your understanding, use what you learned to show what you know.
4. extend
Ask new questions, design experiments, and draw conclusions on new evidence.
Activity
Procedure
1. Work in groups.
2. Use some modelling clay to support a short pencil in the middle of a piece of white paper.
3. Move a torch from positions I to 2 and then to 3 as shown below.
Give answer + Improve
4. Draw the shadow of the pencil in each diagram.
Check me
Conclusion
An object produces shadows of different______________and______________ when the light source is shining at the object from different positions, or at different parts of the object.
2 differences
| THEMES | LOWER BLOCK | UPPER BLOCK |
|---|---|---|
| DIVERSITY |
Living and non-living things Diversity of materials |
|
| CYCLES |
Life cycles of plants and animals 3 stages of matter |
Plant and animal reproduction system Water cycle |
| SYSTEMS |
Plant system Human system |
Plant transport system Human respiratory and transport system Electrical system |
| INTERACTIONS | Magnets | Forces |
| ENERGY | Light and Heat | Energy forms and uses |
| Level | P3 | P4 | P5 | P6 |
|---|---|---|---|---|
| Topics |
• Diversity of living things and non-living things • Diversity of materials • Life cycles • Magnets |
• Plant system • Human system • Matter • Light • Heat |
• Reproduction • Water • Plant and human respiratory and circulatory system • Electrical system |
• Photosynthesis • Energy conversion • Forces • Interaction within the environment |
Mr. Rashid
- Primary 5 and 6 Homeroom Teacher
- Head of Mathematics and Science
Mr. Rashid is an experienced educator with a strong background in mathematics and science. He holds a bachelor of science in applied mathematics from the National University of Singapore (NUS) and a post-graduate diploma in teaching from the National Institute of Education (NIE) in Singapore, specialising in the teaching of mathematics and science at the primary level. His teaching career spans nearly two decades, starting at Yew Tee Primary School in Singapore from 2006 to 2012, where he taught primary mathematics and science, including foundation mathematics and gifted science programmes.
From 2012 to 2023, he taught at Madrasah Aljunied Al-Islamiah, covering a wide range of subjects such as primary mathematics, secondary science and biology, secondary elementary and additional mathematics, as well as IB Diploma mathematics for grade 12 students Since 2023, he has been teaching at an international school in Bangkok, focusing on Singapore primary mathematics and science. With his extensive experience across different curricula, he is committed to fostering a deep understanding of mathematics and science while inspiring students to reach their full potential.