TMS3726
Assessment 3
Unique number: 743673
Due 27 August 2025
, Question 2
Topic Chosen: Algebraic Expressions – Expansion and Factorisation (Grade 9)
Content Area Topic Learning Intentions Success Criteria
Algebra Expansion of Learners will develop Learners are able to ex-
algebraic expres- a clear understanding pand expressions such
sions of the distributive law as (x + 3)(x + 2) ac-
and apply it system- curately and articulate
atically to expand a each step of the dis-
range of algebraic ex- tributive process.
pressions.
Algebra Factorisation Learners will learn to Learners successfully
of algebraic identify the highest factorise expressions
expressions common factor (HCF) such as 2x2 + 6x into
in algebraic terms 2x(x + 3), and justify
and apply appropriate their reasoning clearly.
methods to factorise
expressions.
Algebra Difference of Learners will recognise Learners demonstrate
squares algebraic patterns that mastery by transform-
represent the difference ing expressions such as
of two squares and ap- x2 − 16 into (x − 4)(x +
ply the rule to simplify 4) and explain the un-
expressions. derlying principle.
Algebra Application in Learners will apply Learners accurately
problem-solving expansion and factori- solve real-life con-
sation techniques to textual problems, for
solve contextual prob- example: determining
lems, such as those the area of a rectangle
involving perimeter, with length (x + 2)
area, and algebraic and width (x + 3),
simplification. showing the expanded
form x2 + 5x + 6.
1
Assessment 3
Unique number: 743673
Due 27 August 2025
, Question 2
Topic Chosen: Algebraic Expressions – Expansion and Factorisation (Grade 9)
Content Area Topic Learning Intentions Success Criteria
Algebra Expansion of Learners will develop Learners are able to ex-
algebraic expres- a clear understanding pand expressions such
sions of the distributive law as (x + 3)(x + 2) ac-
and apply it system- curately and articulate
atically to expand a each step of the dis-
range of algebraic ex- tributive process.
pressions.
Algebra Factorisation Learners will learn to Learners successfully
of algebraic identify the highest factorise expressions
expressions common factor (HCF) such as 2x2 + 6x into
in algebraic terms 2x(x + 3), and justify
and apply appropriate their reasoning clearly.
methods to factorise
expressions.
Algebra Difference of Learners will recognise Learners demonstrate
squares algebraic patterns that mastery by transform-
represent the difference ing expressions such as
of two squares and ap- x2 − 16 into (x − 4)(x +
ply the rule to simplify 4) and explain the un-
expressions. derlying principle.
Algebra Application in Learners will apply Learners accurately
problem-solving expansion and factori- solve real-life con-
sation techniques to textual problems, for
solve contextual prob- example: determining
lems, such as those the area of a rectangle
involving perimeter, with length (x + 2)
area, and algebraic and width (x + 3),
simplification. showing the expanded
form x2 + 5x + 6.
1
