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Maths

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Activities<br />

Activity 6<br />

ACTION<br />

OBJECTIVE<br />

Activity 7<br />

ACTION<br />

OBJECTIVE<br />

Activity 8<br />

ACTION<br />

OBJECTIVE<br />

Activity 9<br />

ACTION<br />

OBJECTIVE<br />

Activity 10<br />

ACTION<br />

OBJECTIVE<br />

Activity 11<br />

ACTION<br />

OBJECTIVE<br />

Activity 12<br />

ACTION<br />

OBJECTIVE<br />

Finding the value of an algebraic expression<br />

To find the value of an expression when given a value of a variable<br />

Working with the binomial theorem<br />

To explore every aspect of the binomial theorem<br />

Expanding binomials<br />

To apply the binomial theorem to expand a number of binomials raised to a certain power<br />

Picking out terms in a binomial expansion<br />

To show you understand the binomial by picking out individual terms in the expansion<br />

Factorising algebraic expressions<br />

To use your techniques to revise factorising<br />

Factorising the difference of two cubes using a geometrical approach<br />

To arrive at the formula for the difference of two cubes by a geometric approach<br />

Algebraic modelling<br />

To warm up with some solid basics before getting down to the business of algebraic<br />

modelling<br />

Chapter 4: Polynomial and Rational Expressions<br />

Activity 13<br />

ACTION<br />

OBJECTIVE<br />

Activity 14<br />

ACTION<br />

OBJECTIVE<br />

Activity 15<br />

ACTION<br />

OBJECTIVE<br />

Activity 16<br />

ACTION<br />

OBJECTIVE<br />

Activity 17<br />

ACTION<br />

OBJECTIVE<br />

Recognising the different types of polynomial expressions from their equations and graphs<br />

To explore linear, quadratic and cubic equations and graphs<br />

A modelling approach involving the multiplication of terms<br />

To use a practical problem involving the multiplication and combination of algebraic terms<br />

Recognising patterns when multiplying brackets<br />

To understand that when each bracket has its terms lined up in descending powers,<br />

multiplying the first terms by the first terms yields the first term in the answer. The same<br />

idea applies to the last terms.<br />

Dividing polynomials<br />

To follow the procedure step by step for dividing polynomials<br />

Adding algebraic fractions<br />

To follow the procedure of finding a lowest common denominator (LCD) and simplifying<br />

algebraic expressions<br />

25

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