TMS3726
Assessment 3
Unique number: 743673
Due 27 August 2025
, Question 2
Topic Chosen: Algebraic Expressions – Expansion and Factorisation (Grade 9)
Content Topic Learning Intentions Success Criteria
Area (What learners (How achievement
should learn) will be demon-
strated)
Algebra Expansion of Learners will develop Learners are able to
algebraic expres- a clear understanding expand expressions
sions of the distributive law such as (x + 3)(x + 2)
and apply it system- accurately and artic-
atically to expand a ulate each step of the
range of algebraic ex- distributive process.
pressions.
Algebra Factorisation of Learners will learn to Learners successfully
algebraic expres- identify the highest factorise expressions
sions 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 differ- ing expressions such as
ence of two squares x2 −16 into (x−4)(x+
and apply the rule to 4) and explain the un-
simplify 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 Topic Learning Intentions Success Criteria
Area (What learners (How achievement
should learn) will be demon-
strated)
Algebra Expansion of Learners will develop Learners are able to
algebraic expres- a clear understanding expand expressions
sions of the distributive law such as (x + 3)(x + 2)
and apply it system- accurately and artic-
atically to expand a ulate each step of the
range of algebraic ex- distributive process.
pressions.
Algebra Factorisation of Learners will learn to Learners successfully
algebraic expres- identify the highest factorise expressions
sions 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 differ- ing expressions such as
ence of two squares x2 −16 into (x−4)(x+
and apply the rule to 4) and explain the un-
simplify 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
