Answer to Question #205838 in Algebra for accordance

Question

1.1 Explain the expression algebraic thinking to an Intermediate Phase teacher. (2)

1.2 Give two reasons why you would say that algebraic thinking is very important for

Intermediate Phase mathematics? (2)

1.3 The entities in algebra can be distinguished, but they are deeply related to one another.

Discuss the three main entities that are used in algebra, and clearly indicate how these

three entities relate to each other. Relate the first entity you listed, to the second and the

third, and the first entity to the third entity as well. (6)

1.4 Explain what is meant by the following terms, and give an example of both so that the

difference and similarity between both terms become clear:

1.4.1 Algebraic expression (3)

1.4.2 Algebraic equation

Answer 1

1.1

Algebraic thinking involves recognition and analysis of patterns, study and representation of relationships, generalization and analysis of change of things.

1.2

Algebraic thinking is important because:

i) It helps students understand mathematics beyond specific calculations result

ii) It helps in procedural formula application

1.3

The entities used in algebra are

i) projection- used to project required column data from a relation

ii)selection- used to select reduired tuples of the relations

iii)Union-A constraint of two relations havig same set of attributes

1.4.1

An expression is a number, variable or a combintion of numbers and variables and operation symbols.

for example

$500-3p$

1.4.2

An eequation is made up of two expressions connected by an equal sign.

for example

$500-3p=-200+2p$