SGBox Singapore Math Curriculum For 4th Grade / Primary 4

Aims of SGBox^® Maths Curriculum^™
SGBox^® Maths Curriculum^™ is a rigorous maths curriculum that is designed to enable your child to:
1. acquire and apply skills and knowledge relating to number, measure and space in mathematical situations that he will encounter in everyday life experiences
2. acquire mathematical concepts and skills that are essential for a further study in maths and other disciplines
3. develop the ability to make logical deduction and induction, as well as to explicate his mathematical thinking and reasoning skills through the solving of mathematical problems
4. use mathematical language to communicate mathematical ideas and arguments precisely, concisely and logically
5. develop a positive attitude towards maths, including confidence, enjoyment and perseverance
6. appreciate the power and structure of maths, including patterns and relationships, and to enhance his intellectual curiosity
Objectives of SGBox^® Maths Curriculum^™
The objectives of SGBox^® Maths Curriculum^™ are to enable your child to:
1. develop understanding of mathematical concepts:
  1. Numerical
  2. Geometrical
  3. Statistical
  4. Algebraic
2. perform operations with:
  1. Whole numbers
  2. Fractions
  3. Decimals
3. recognise spatial relationships in two and three dimensions
4. recognise patterns and relationships in maths
5. use mathematical language, symbols and diagrams to represent and communicate mathematical ideas
6. present and interpret information in written, graphical, diagrammatic and tabular forms
7. use common systems of units
8. use geometrical instruments
9. perform simple algebraic manipulation
10. develop ability to perform mental calculation
11. develop ability to perform estimation
12. develop ability to check reasonableness of results
13. use mathematical concepts learnt to solve problems
14. use appropriate heuristics to solve problems
15. apply maths to everyday life problems
16. think logically and derive conclusions deductively
17. develop an inquiring mind through investigative activities
18. enjoy learning maths through a variety of activities
Framework of SGBox^® Maths Curriculum^™
SGBox^® Maths Curriculum^™ emphasizes five inter-related components:
1. Concepts
  Concepts refer to the basic mathematical knowledge needed for solving mathematical problems. They cover the following:
  1. Numerical concepts
  2. Geometrical concepts
  3. Algebraic concepts
  4. Statistical concepts
2. Skills
  Skills refer to the topic-related manipulative skills that your child is expected to perform when solving problems. They include:
  1. Estimation and approximation
  2. Mental calculation
  3. Communication
  4. Use of mathematical tools
  5. Arithmetic manipulation
  6. Algebraic manipulation
  7. Handling data
3. Processes
  Processes refer to the thinking and heuristics involved in mathematical problem solving. Some of the thinking skills and heuristics which are applicable to problem solving include:
  - Thinking skills
    1. Classifying
    2. Comparing
    3. Sequencing
    4. Analysing parts and whole
    5. Identifying patterns and relationships
    6. Induction
    7. Deduction
    8. Spatial visualisation
  - Heuristics for problem solving
    1. Act it out
    2. Use a diagram / model
    3. Make a systematic list
    4. Look for pattern(s)
    5. Work backwards
    6. Use before-after concept
    7. Use guess and check
    8. Make suppositions
    9. Restate the problem in another way
    10. Simplify the problem
    11. Solve part of the problem
4. Attitudes
  Attitudes refer to the affective aspects of maths learning such as:
  1. Enjoy doing maths
  2. Appreciate the beauty and power of maths
  3. Show confidence in using maths
  4. Persevere in solving a problem
5. Metacognition
  Metacognition refers to the ability to monitor one's own thinking processes in problem solving. This includes:
  1. Constant and conscious monitoring of the strategies and thinking processes used in carrying out a task
  2. Seeking alternative ways of performing a task
  3. Checking the appropriateness and reasonableness of answers

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