CXC CSEC Math Topic: Algebra



CXC Math Topic: Algebra

CXC General Proficiency Math Topic:    

ALGEBRA

 

These are the specific learning objectives that CXC has set for this CSEC math topic

 

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.

 

SPECIFIC OBJECTIVES: The student should be able to:

 

1.

Use symbols to represent numbers, operations, variables, and relations;

 

2.

Perform the four basic operations with algebraic expressions;

 

3.

Perform operations involving directed numbers (integers);

4.

Substitute numbers for algebraic symbols in simple algebraic expressions;

 

5.

Translate verbal phrases into algebraic symbols and vice versa;

 

6.

Use symbols to represent binary operations (other than the four basic ones) and perform simple computations with them;

 

7.

Apply the distributive law to insert or remove brackets in algebraic expressions, for example, ax ± bx = (a ± b)x;

 

8.

Simplify algebraic fractions;

 

9.

Use the laws of indices to manipulate expressions with integral indices;

 

10.

Solve linear equations in one unknown;

 

11.

Solve simultaneous linear equations in two unknowns algebraically;

 

12.

Solve a simple linear inequality in one unknown;

 

13.

Use linear equations to solve word problems;

 

14.

Use sumultaneous equations to solve word problems;

 

15.

Use investigations to make inferences and generalizations utilizing the concepts listed above.

 

16.

Factorize expressions of the forms:

    a2 - b2, a2 + 2ab + b2, ax + bx +ay + by;

    ax2 + bx + c where a, b, c are integers;

 

17.

Recognize the difference between those algebraic statements that represent equations and those that represent identitites;

 

18.

Use linear inequalities to solve word problems.

 

19.

Solve quadratic equations by:

    (a)    factorization

    (b)    using the quadratic formulae;

 

*20.

Solve quadratic equations by completing the square;

 

21.

Solve problems involving quadratic equations;

 

*22.

Solve a pair of equations in two variables when one equation is quadratic or non-linear and the other is linear;

 

23.

Change the subject of formulae including those involving roots and powers;

 

24.

Manipulate algebraic expressions involving rational indices;

 

25.

Prove two algebraic expressions to be identically equal;

 

26.

Represent direct and inverse variations symbolically;

 

27.

Perform calculations involving direct variation and inverse variation.

 

* Optional objectives

 


5
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Briiton's picture
Briiton (not verified)
mathematics

i would love to try some of the algebra questions - practice questions please!!!!!!!!!

Briiton's picture
reynessa (not verified)
maths

i learn more about algebra

Briiton's picture
Juvette Calder (not verified)
mathematics

This did not give me any Caribbean Examination Council mathematics questions just Caribbean Examination Council mathematics topics

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