GAUTENG PROVINCE
MATHEMATICS – ANNUAL TEACHING PLAN –GRADE 10
FINAL GRADE 10 ATP 2021
DATE
TOPIC
TER
M 1
WEEK 1
27/1 – 29/1
(3 days)
WEEK 2
1/2 – 5/2
Algebraic
Expression
Algebraic
Expression
CONTENT
1. Understand
that real
numbers can
be rational or
irrational.
2. Establish
between
which two
integers a
given simple
surd lies
3. Round real
numbers to an
appropriate
degree of
accuracy.
4.
Multiplication
of a binomial
by a
trinomial.
ASS Date Completed
F ESS
ME
NT
2 TASKS FOR
TERM 1
%
Completed
3%
6%
WEEK 3
8/2– 12/2
WEEK 4
15/2 – 19/2
WEEK 5
22/2 – 26/2
Algebraic
Expression
Algebraic
Expression
Exponents,
equations
and
inequalities
5.
Factorization
to include
types taught
in Grade 9
and:
• trinom
ials
• groupi
ng in
pairs
• sum
and
differe
nce of
two
cubes
9%
6.
Simplifying,
adding and
subtracting
algebraic
fractions
using
factorization
with
denominators
of cubes
(limited to
sum and
difference of
cubes).
12%
1. Revise
laws of
exponents
learnt in
Investigati
on / Project
)
15%
Grade 9
where
Z:
•
•
•
•
Also, by
definition:
, and ,
2. Use the
laws of
exponents to
simplify
expressions
and solve
equations,
accepting that
the rules also
hold for Q.
1. Revise the
solution of
linear
equations.
2. Solve
quadratic
equations (by
factorisation).
WEEK 6
1/3 – 5/3
Exponents,
equations
and
inequalities
3. Solve
simultaneo
us linear
equations
in two
unknowns.
4. Solve
word
problems
SBA marks:
15
18%
WEEK 7
8/3 – 12/3
WEEK 8
15/3 – 19/3
Equations
and
inequalities
Euclidean
Geometry
involving
linear,
quadratic
or
simultane
ous linear
equations
5. Solve
literal
equations
(changing
the subject
of a
formula).
6. Solve
linear
inequalities
(and show
solution
graphically).
Interval
notation must
be known.
• Investigat
e and form
conjecture
s about the
properties
of special
triangles,
quadrilater
als and
other
polygons.
Try to
validate or
prove
conjecture
21%
24%
•
WEEK 9
23/3 – 26/3
(4 days)
Euclidean
Geometry
•
s using
any
logical
method
(Euclidean
, coordinate
or
transforma
tion
geometry
from
Grade 9)
Disprove
false
conjecture
s by
producing
counterex
amples
Investigat
e
alternative
definitions
of various
polygons
(including
the
isosceles,
equilateral
and rightangled
triangle,
the kite,
parallelogr
am,
rectangle,
27%
Test
SBA marks:
10
rhombus,
square and
trapezium)
•
WEEK 10
29/3 – 31/3
(3 days)
Euclidean
Geometry
Investigat
e
alternative
definitions
of various
polygons
(including
the
isosceles,
equilateral
and rightangled
triangle,
the kite,
parallelogr
am,
rectangle,
rhombus,
square and
trapezium)
END OF TERM 1 SCHOOLS CLOSES ON 31/03/2021
30%
DATE
TOPIC
TERM 2
TASKS FOR TERM 2
WEEK 1
Trigonometr
y
13/4 – 16/4
CONTENT
F
ASSESSME
NT
1. Extend the definitions of , and
for
.
2. Study
the effect of and on the
Date
Completed
%
Completed
2
33%
graphs defined by:
• ;
•
; and
(4 days)
WEEK 2
19/4 – 23/4
•
Trigonometr
y
WEEK 3
28/4 -30/4
(4 days)
WEEK 4
3/5 – 7/5
WEEK 5
10/5 – 14/5
Number
patterns
Functions
(including
trigonometri
c
Functions
Functions
(including
trigonometri
c
Functions
where and
.
3. Sketch graphs, find the equations of
given graphs and interpret graphs.
36%
Note: Sketching of the graphs must
be based on the observation of the
effect of and
Patterns: Investigate number
patterns leading to those where
there is a constant difference
between consecutive terms, and the
general term (without using a
formula-see content overview) is
therefore linear.
1. The concept of a function,
where a certain quantity (output
value) uniquely depends on another
quantity (input value). Work with
relationships between variables
using tables, graphs, words and
formulae. Convert flexibly between
these representations.
Note: that the graph defined
byshould be known from Grade 9.
2. Point by point plotting of basic
graphs defined by
and
to discover shape, domain (input
values), range (output values),
asymptotes, axes of symmetry,
turning points and intercepts on
the axes (where applicable).
39%
ASSIGNMEN
T
SBA marks:
15
42%
45%
WEEK 6
17/5 – 21/5
(4 days)
WEEK 7
24/5 – 28/5
(4 days)
WEEK 8
31/5 – 4/6
WEEK 9
7/6 -11/6
Functions
(including
trigonometri
c
Functions
2. Point by point plotting of basic
graphs defined by
and
to discover shape, domain (input
values), range (output values),
asymptotes, axes of symmetry,
turning points and intercepts on
the axes (where applicable).
3. Investigate the effect of and q on
the graphs defined by , where ,
Functions
and .
(including
Sketch graphs find the equations of
trigonometri given graphs and interpret graphs.
c
Note: Sketching of the graphs must
be based on the observation of the
Functions
effect
of and
3. Investigate the effect of and q on
the graphs defined by , where ,
Functions
and .
(including
Sketch graphs find the equations of
trigonometri given graphs and interpret graphs.
c
Note: Sketching of the graphs must
be based on the observation of the
Functions
effect
of and
Revise the volume and surface
Measuremen 1. areas
of right-prisms and
t
cylinders.
2. Study the effect on volume and
surface area when multiplying
any dimension by a constant
factor k.
50%
F
55%
60%
63%
TEST
SBA marks:
WEEK 10
14/6 – 18/6
(4 days)
Measuremen
t
WEEK 11
21/6 – 25/6
DATE
TERM
3
WEEK 1
13/7 –
16/7
10
3. Calculate the volume and
surface areas of spheres, right
pyramids, right cones and
combination of those objects
(figures).
66%
END OF TERM 2 SCHOOLS CLOSES ON 25/06/2021
TOPIC
Trigonometry
(2D)
CONTENT
Solve two dimensional Problems
involving right-angled triangles.
F
2 TASKS FOR
TERM 3
ASSES
SMRNT
Date
Compl
eted
(4 days)
WEEK 2
19/7 –
23/7
Trigonometry
(2D)
WEEK 3
26/7 –
30/7
Statistics
WEEK 4
2/8 – 6/8
Statistics
WEEK 5
10/8 –
13/8
(4 days)
WEEK 6
16/8 –
20/8
Probability
Probability
Solve two dimensional Problems
involving right-angled triangles.
1. Revise measures of central
tendency in ungrouped data.
2. Measures of central tendency in
grouped data: calculation of mean
estimate of grouped and ungrouped
data and identification of modal
interval and interval in which the
median lies.
3. Revision of range as a measure
of dispersion and extension to
include percentiles, quartiles,
inter-quartile and semi-interquartile range.
4. Five number summary
(maximum, minimum and
quartiles) and box and whisker
diagram.
5. Use the statistical summaries
(measures of central tendency and
dispersion), and graphs to analyse
and make meaningful comments on
the context associated with the
given data.
1. The use of probability models
to compare the relative
frequency of events with the
theoretical probability.
2. The use of Venn diagrams to
solve probability problems,
deriving and applying the
following for any two events in
F
TEST
SBA
marks:
10
a sample space S:
;
WEEK 7
23/8 –
27/8
WEEK 8
30/8 –
3/9
A and B are Mutually exclusive if ;
A and B are complementary if they
are mutually exclusive; and
Then
• Use the simple and compound
growth formulae [ and ]
WEEK
10
13/9 –
17/9
WEEK 11
20/9 –
23/9
Understand the implication of
fluctuating foreign exchange
rates (e.g. on the petrol price,
imports, exports, overseas
travel).
Represent geometric figures on a
F
Cartesian co-ordinate system.
Derive and apply for any two points
and the formulae for calculating
the:
1. distance between the two points;
•
Finance and
growth
WEEK 9
6/9 –
10/9
to solve
problems, including interest, hire
purchase, inflation, population growth
and other real-life problems.
Finance and
growth
Analytical
geometry
Analytical
geometry
2. gradient of the line segment
connecting the two points (and
from that identify parallel and
perpendicular lines); and
3. Coordinates of the mid-point of
the line segment joining the two
points.
END OF TERM 3 SCHOOLS CLOSES ON 23/09/2021
TEST
SBA
marks:
10
DATE
TOPIC
CONTENT
TERM 4
WEEK 1
5/10 –
8/10
( 4 days)
Euclidean
Geometry
Revision
WEEK 3
18/10 –
22/10
Revision
ASSES
SMRNT
1 TASK FOR
TERM 4
F
WEEK 2
11/10 –
15/10
WEEK 4
25/10 –
29/10
WEEK 5
1/11 –
Solve problems and prove
riders using the properties of
parallel lines, triangles and
quadrilaterals
F
TEST
SBA
marks:
10
Revision
SBA: 25
%
Date
Compl
eted
5/11
WEEK 6
8/11 –
12/11
WEEK 7
15/11 –
19/11
WEEK 8
22/11 26/11
WEEK 9
29/11 –
3/12
WEEK 10
6/12 –
10/12
Final
exam:
75%
FINAL
EXAMINATION
S
FINAL
EXAMINATION
S
REPORTING
REPORTING
NB:
•
7 SBA TASKS TO BE COMPLETED IN 2021
THE TASKS ARE AS FOLLOWS: SBA
TERM
SBA TASKS
1
Investigation/Project
Test
2
Assignment
Test
3
Test
Test
4
Test
WEIGHTING
WEIGNTING
15%
10%
15%
10%
10%
10%
10%
80%