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Grade 10 :ATP2016
Page 1 of 3
GAUTENGPROVINCE
MATHEMATICS – ANNUAL TEACHING PLAN –GRADE 10
2016
DATE
TOPIC
CONTENT
TERM 1
Algebraic expressions

(4 days)

18/1 – 22/1
Algebraic expressions
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25/1 – 29/1
01/2 – 05/2
Algebraic expressions
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Algebraic expressions
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
08/2 – 12/2
ASSESSMENT
DATE
Completed
%
Compl
eted
2 TASKS FOR TERM 1

12/1 – 15/1
F
Understand that real numbers can be rational or
irrational.
Establish between which two integers a given simple
surd lies.
Round real numbers to an appropriate degree of
accuracy
Revise multiplication of a binomial by a binomial.
Multiplication of a binomial by a trinomial.
Factorisation: Difference of two squares
Common factors.
Factorisation: Trinomials
Grouping in pairs.
Sum and difference of two cubes.
Algebraic fractions: Denominator with monomial,
binomial and trinomial terms.
(limited to sum & difference of cubes).
Algebraic fractions: Denominator with monomial,
binomial and trinomial terms.
(limited to sum & difference of cubes).
3%
6%
9%
F
TEST
SBA marks: 10
12%
Revise laws of exponents where x,y> 0 and m,n∈Z .
15%
Exponents

Use the laws of exponents to simplify expressions and
solve equations, accepting that the rules also hold
for,n∈Q .

15/2 – 19/2
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
Number patterns
29/2– 04/3
Equations
07/3 – 11/3
Equations and
Inequalities
14/3 – 18/3
Equations and
Inequalities
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Exponential equations.
Investigate number patterns leading to those where
there is a constant difference between consecutive
terms, and the general term is therefore linear.
WITHOUT USING A FORMULA
Linear equations.
Quadratic equations (by factorisation).
Literal equations (change the subject of the formula).
Simultaneous linear equations in two unknowns.
Solve linear inequalities (show solutions graphically).
Solve linear inequalities (show solutions graphically).
Interval notation must be known.
Word problems involving linear, quadratic or
simultaneous linear equations.
21%
24%
F
TEST
SBA marks: 10
27%
30%
2 TASKS FOR TERM 2
TERM 2
05/4 – 08/4
(4 days)
18%
for,n∈Q
Exponents
22/2 – 26/2
Use the laws of exponents to simplify expressions
andsolve equations, accepting that the rules also hold

Euclidean Geometry

Revise basic results established in earlier grades:
lines, angles, congruency, similarity.
 Revise theorem of Pythagoras and properties of
quadrilaterals
33%
Grade 10 :ATP2016
Page 2 of 3

11/4 – 15/4
Euclidean Geometry

18/4 – 22/4
Trigonometry


25/4 – 29/4
(4 days)
Trigonometry


03/5 – 06/5
(4 days)
Trigonometry




09/5 – 13/5
Functions

16/5 – 20/5
Functions

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
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Investigate and make conjectures about the
properties of the sides, angles, diagonals and areas
of special quadrilaterals, kite, parallelogram,rectangle,
rhombus,square and trapezium.
Definitions of the trigonometric ratios sin θ,
cosθ and tan θ in a right-angled triangles.
Extend the definitions of sin θ, cosθ and tan θ
to 00 ≤ θ ≤ 3600.
Extend the definitions of sin θ, cosθ and tan θ
to 00 ≤ θ ≤ 3600.
Define the reciprocals of the trig ratios cosecθ, secθ
and cotθ using right-angled triangles.
Derive and use values of the trigonometric
ratios (without using a calculator for the
special angles θ  {0 0;300;450;600;900}.
Solve simple trig equations for θ  {0 0;900}.
Relationships and conversions between variables:
numerical, graphical, verbal and symbolical.
Difference between a relation and a function.
Investigate basic graphs to discover shape, domain,
range, and intercepts with axes, turning points and
axes of symmetry.
Investigate the effect of a and q on each graph
Straight line: y = a(x) + q
Parabola: y = a(x)2 +q
Hyperbola: y 
Functions
30/5 – 03/6

JUNE EXAMS
06/6 – 10/6
JUNE EXAMS
13/6 – 17/6
(3 days)
JUNE EXAMS
20/6 – 24/6
Exam corrections

DATE
TOPIC
CONTENT
39%
42%
F
ASSIGNMENT/
TEST
SBA marks: 10
45%
48%
a
51%
54%
F
JUNE EXAM
SBA marks: 30
F
ASSESSMENT
Remediation of June examination
TERM 3
DATE
COMPLED
%
Compl
eted
2 TASKS FOR TERM 3
18/7 – 22/7
Trig Functions
25/7 – 29/7
Euclidean Geometry
01/8 – 05/8
Euclidean Geometry
09/8 – 12/8
(3 days)
Analytical Geometry

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Analytical Geometry
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22/8 –26/8
Financial Maths
29/8 – 02/9
Financial Maths
05/9 – 09/9
Statistics


12/9 – 16/9
MATHS
WEEK
q
x
Exponential graph: y = a.bx + q ; b > 0
Finding equations of functions.
Interpretation of functions.
23/5 – 27/5
15/8 – 19/8
36%
Statistics
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Trig graphs [a sin x+ q,,acosx + q, a tan x+ q ].
Basic graphs and the effect of a and q on the graphs.
Investigate line segments joining the midpoints
of two sides of a triangle.
Prove conjectures.
Solve problems and prove riders using the properties
of parallel lines, triangles and quadrilaterals.
Distance between two points.
Gradient of the line segment jointing the points
(identifyparallel and perpendicular lines).
Gradient of the line segment jointing the points
(collinear lines).
Co-ordinates of the mid-point of the line segment
joining the points.
Simple and compound growth formula to solve
problems.
Annual interest, hire purchase, inflation,
population growth and other real life problems.
Annual interest, hire purchase, inflation,
population growth and other real life problems.
Fluctuating foreign exchange rates.
Collect, organise and interpret univariate
numerical data in order to determine:
measures of central tendency(mean, median, mode in
ungrouped and grouped data)
five number summary;
box and whisker diagrams
57%
60%
63%
66%
F
TEST
69%
SBA marks: 10
72%
75%
78%
81%
Grade 10 :ATP2016
19/9 – 23/9
26/9 – 30/9
Page 3 of 3
2D Trig



measures of dispersion (range, percentiles, quartiles)
Revision of trig.
Problems in two dimensions.
2D Trig

Problems in two dimensions.
F
PROJECT/
INVESTIGATION
SBA marks: 20
87%
TERM 4
2 TASKS FOR TERM 4


10/10 –14/10
Measurement



17/10 – 21/10
Probability
24/10 –28/10
Probability
Geometry
31/10 – 04/11
Functions
Revision
14/11 – 18/11
FINAL
EXAMINATIONS
FINAL
EXAMINATIONS
FINAL
EXAMINATIONS
28/11 – 02/12



%
Compl
eted
90%
93%
F
TEST
SBA marks: 10
96%
100%
OR
07/11 –11/11
21/11 – 25/11

Revise area of circles, quadrilaterals and triangles.
Revise the volume and surface areas of right-prisms
and cylinders.
Study the effect on volume and surface area when
multiplying any dimension by a constant factor k.
Calculate the volume and surface areas of
spheres, right pyramids and right cones.
Compare the relative frequency of an experimental
outcome with the theoretical probability of the
outcome.
Venn diagrams as an aid to solving probability
problems.
Mutually exclusive events and complementary events.
The identity for any two events A and B:
(
) = ( )+ ( ) − ( and ).
Solve problems and prove riders using the properties
of parallel lines, triangles and quadrilaterals.
84%


Interpretation of graphs
Exposure to exam type questions.
25 % SBA
75 %
Final exam