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CONTENT:
Symbolic representations; directed numbers; algebraic fractions, factorization; equations; inequalities and their graphs, simultaneous equations, formulae, indices. Linear inequalities: solution of quadratic equations; transformation of algebraic expressions, equations, formulae and identities; direct variation and inverse variation; set builder notation for expressing the solution set of equations.
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SPECIFIC OBJECTIVES: The student should be able to:
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| 1. |
Use symbols to represent numbers, operations, variables, and relations;
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| 2. |
Perform the four basic operations with algebraic expressions;
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| 3. |
Perform operations involving directed numbers (integers);
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| 4. |
Substitute numbers for algebraic symbols in simple algebraic expressions;
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| 5. |
Translate verbal phrases into algebraic symbols and vice versa;
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| 6. |
Use symbols to represent binary operations (other than the four basic ones) and perform simple computations with them;
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| 7. |
Apply the distributive law to insert or remove brackets in algebraic expressions, for example, ax ± bx = (a ± b)x;
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| 8. |
Simplify algebraic fractions;
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| 9. |
Use the laws of indices to manipulate expressions with integral indices;
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| 10. |
Solve linear equations in one unknown;
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| 11. |
Solve simultaneous linear equations in two unknowns algebraically;
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| 12. |
Solve a simple linear inequality in one unknown;
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| 13. |
Use linear equations to solve word problems;
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| 14. |
Use sumultaneous equations to solve word problems;
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| 15. |
Use investigations to make inferences and generalizations utilizing the concepts listed above.
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| 16. |
Factorize expressions of the forms:
a2 - b2, a2 + 2ab + b2, ax + bx +ay + by;
ax2 + bx + c where a, b, c are integers;
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| 17. |
Recognize the difference between those algebraic statements that represent equations and those that represent identitites;
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| 18. |
Use linear inequalities to solve word problems.
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| 19. |
Solve quadratic equations by:
(a) factorization
(b) using the quadratic formulae;
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| *20. |
Solve quadratic equations by completing the square;
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| 21. |
Solve problems involving quadratic equations;
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| *22. |
Solve a pair of equations in two variables when one equation is quadratic or non-linear and the other is linear;
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| 23. |
Change the subject of formulae including those involving roots and powers;
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| 24. |
Manipulate algebraic expressions involving rational indices;
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| 25. |
Prove two algebraic expressions to be identically equal;
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| 26. |
Represent direct and inverse variations symbolically;
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| 27. |
Perform calculations involving direct variation and inverse variation.
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* Optional objectives
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mathematics
This did not give me any Caribbean Examination Council mathematics questions just Caribbean Examination Council mathematics topics