SGBox Math Curriculum For 10th Grade / Secondary 4

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Aims of SGBox^® Math Curriculum^™
SGBox^® Math Curriculum^™ is a rigorous math curriculum that is designed to enable your child to:
1. Acquire the necessary mathematical concepts and skills for everyday life, and for continuous learning in mathematics and related disciplines.
2. Develop the necessary process skills for the acquisition and application of mathematical concepts and skills.
3. Develop the mathematical thinking and problem solving skills and apply these skills to formulate and solve problems.
4. Recognise and use connections among mathematical ideas, and between mathematics and other disciplines.
5. Develop positive attitudes towards mathematics.
6. Make effective use of a variety of mathematical tools (including information and communication technology tools) in the learning and application of mathematics.
7. Produce imaginative and creative work arising from mathematical ideas.
8. Develop the abilities to reason logically, to communicate mathematically, and to learn cooperatively and independently.
Framework of SGBox^® Math Curriculum^™
SGBox^® Math 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 math learning such as:
  1. Enjoy doing math
  2. Appreciate the beauty and power of math
  3. Show confidence in using math
  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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SGBox Math Curriculum For 10th Grade / Secondary 4

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SGBox Math Curriculum For 10th Grade / Secondary 4

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