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GENERAL OBJECTIVES:
On completion of this Section, students should:
1. understand and appreciate the decimal numeration system;
2. appreciate the development of different numeration systems;
3. demonstrate the ability to use rational approximations of real numbers;
4. demonstrate the ability to use number properties to solve problems;
5. develop the ability to use patterns, trends, and investigative skills.
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SPECIFIC OBJECTIVES:The student should be able to:
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CONTENT |
| 1 |
distinguish among sets of numbers; |
Set of numbers:
Natural numbers {1,2,3,...}, whole numbers {0,1,2,3, ...}, integers {...-2,-1,0, 1, 2, ...}, rational numbers (p/ q: p and q are integers, q≠0), irrational numbers (numbers that cannot be expressed as terminating or recurring decimals).
For example, numbers such as π and √2), the real numbers (the union of rational and irrational numbers); sequences of numbers that have a recognizable pattern; factors and multiples; square numbers; even numbers; odd numbers; prime numbers; composite numbers.
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| 2. |
order a set of real numbers; |
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| 3. |
generate a term of a sequence given a rule;
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Sequence of numbers that have a recognizable pattern.
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| 4. |
derive an appropriate rule given the terms of a sequence; |
Sequence of numbers that have a recognizable pattern.
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| 5. |
identify a given set of numbers as a subset of another set;
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Inclusion relations, for example, N⊂W⊂ Z ⊂ Q ⊂ R.
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| 6. |
list the set of factors or a set of multiples of a given positive integer;
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| 7. |
compute the HCF or LCM of two or more positive integers;
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| 8. |
state the value of a digit in a numeral in base n, where n ≤ 10;
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Place value and face value of numbers 2,3,4,5, 6,7,8,9, and 10 in base.
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| 9. |
use properties of numbers and operations in computational tasks; |
additive and multiplicative identities and inverses, concept of closure, properties of operations such as commutativity, distributivity and associativity, order of operations in problems with mixed operations.
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| 10 |
solve problems involving concepts in number theory.
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Here are our number theory tutorials to help you prepare for this section of the CXC math exam. |
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