ATP Gr 12 Maths 2025 Final-exam

2025 Mathematics ATP Grade 12 FINAL


GAUTENG PROVINCE
MATHEMATICS – ANNUAL TEACHING PLAN –GRADE 12
GRADE 12 ATP 2025 FINAL



TOPIC Date %
DATE CONTENT F ASSESSMENT
Completed Completed
TERM 1 2025 2 TASKS FOR
TERM 1
Week 1 1. Revise quadratic patterns
15/1 – 17/1 Number Patterns ,
Sequence & Series 4%
(3 days)

2. Number patterns, including arithmetic
geometric sequences and series
Week 2 3. Sigma notation
Investigation /
20/1 – 24/1 Number Patterns , Derivation and application of the
(5 days Project 8%
Sequence & Series formulae for the sum of arithmetic:
𝑛
3.1 𝑆𝑛 = 2 [2𝑎 + (𝑛 − 1)𝑑];
𝑛
𝑆𝑛 = 2 (𝑎 + 𝑙)
Derivation and application of the formulae for the
sum of geometric series:
Week 3
27/1 – 31/1 Number Patterns , 𝑎(𝑟 𝑛 −1) F 12%
(5 days)
3.2 𝑆𝑛 = ; (𝑟 ≠ 1); and
Sequence & Series 𝑟−1

𝑎
3.3 𝑆𝑛 = 1−𝑟 ; (−1 < 𝑟 < 1), (𝑟 ≠ 1)
1. Revise functions studied in earlier grades
with focus on:
1. Sketching of all functions
2. Determining the equations of ALL functions
Functions: 3. Interpretation of sketched functions including
Week 4 Revision & but not limited to: horizontal and vertical
3/2 – 7/2 Formal Definition
( 5 days) lengths, point of intersections, average 15%
gradient, domain and range, asymptotes, axes
of symmetry, Turning point, minimum and
maximum values, graphical transformations,
inequalities in functions, nature of roots
using graphical approach, etc
1. Definition of a function.
2. General concept of the inverse of a function
and how the domain of the function may
need to be restricted (in order to obtain a one-
to-one function) to ensure that the inverse is
a function.
3. Determine and sketch graphs of the inverses
Functions: Formal of the functions defined by
Week 5
10/2 – 14/2 Definition , Inverse 𝑦 = 𝑎𝑥 + 𝑞; 𝑦 = 𝑎𝑥 2 19%
(5 days) of linear and Focus on the following characteristics:
quadratic domain and range, intercepts with the axes,
functions turning points, minima, maxima, asymptotes
(horizontal and vertical), shape and symmetry,
average gradient (average rate of change),
intervals on which the function increases
/decreases.


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, 2025 Mathematics ATP Grade 12 FINAL
4. Revision of the exponential function and the
exponential laws and graph of the function
defined by 𝑦 = 𝑏 𝑥 where 𝑏 > 0 and
𝑏≠1

Week 6 5. Understand the definition of a logarithm:
17/2 – 21/2 𝑦 = log 𝑏 𝑥 ⇔ 𝑥 = 𝑏 𝑦 where 𝑏 > 0 and 23%
( 5 days) Functions:
𝑏≠1
exponential and
logarithmic
6. The graph of the function, 𝑦 = log 𝑏 𝑥 for
both the cases:
0 < 𝑏 < 1 and 𝑏 > 1.

1. Revise trigonometric concepts student in
earlier grades (reduction formulae,
Week 7 Trigonometry: special angles, identities & general
24/2 – 28/2 Revision and solutions)
27%
( 5 days) compound angles 2. Compound angle identities:
sin(   ) = sin  cos   sin  cos 
cos(   ) = cos  cos   sin  sin 
sin 2 = 2sin  cos 
Week 8 Trigonometry: cos 2 = cos  − sin 
2 2

3/3 – 7/3 Double angles 31%
( 5 days) = 2 cos 2  − 1
= 1 − 2 sin 2 
3. Revise the proof of the sine, cosine and
F
Week 9 Trigonometry: two area rules.
10/3 – 14/3 and three 4. Solve problems in two and three 35%
( 5 days) dimensions dimensions applying the sine, cosine and
area rules.

5. Revise Trigonometric functions studied
Trigonometry: in earlier grades.
Week 10
17/3 – 21/3 trigonometric 6. Solve problems involving trigonometric Test 38%
(4 days) functions functions where compound and double
angles are used.
7. Revise examinable theorems studied in
Week 11 Euclidean grade 11.
24/3 – 28/3 Geometry: 8. Revise numeric and non-numeric riders 42%
( 5 days) Revision where application of theorems,
converses, corollaries, and axioms is
necessary.
END OF TERM 1 SCHOOLS CLOSES ON 28/03/2025




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