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FET MATHEMATICS
GRADE 10
SBA ADMINISTRATION
DOCUMENTS
2017
ASPECT PAGE NO.
ANNUAL TEACHING PLAN
1
SBA MODERATION TOOL
11
EXAMINATION SCOPE
25
PROGRAM OF ASSESSMENT
27
COMPOSITE MARKSHEET
28
CONSOLIDATION SHEET
30
LEARNER DECLARATION
31
COGNITIVE LEVEL GRID 32
LEARNER TRACKING FORM
33
DIAGNOSTIC ANALYSIS GRID
35
COMPILED BY KZN FET MATHEMATICS FET ADVISORS
Page 1 of 36
KZN DEPARTMENT OF EDUCATION
MATHEMATICS ANNUAL TEACHING PLAN
GRADE 10 - 2017
DATE TOPIC CURRICULUM STATEMENT F/IF? ASSESSMENT DATE
COMPLETED
HOD:
Signature and Date
%
COMPLETED
TERM 1 2 TASKS FOR TERM 1
11/01 – 16/01
(4 days)
ALGEBRA PART 1
(ALGEBRAIC
EXPRESSIONS)
1. Understand that real numbers can be rational
or irrational. Know the difference as far as the
decimal expansions of the numbers
are concerned.
2. Establish between which two integers a given
simple surd lies.
3%
17/01 –23/01
(5 days)
3. Round decimal numbers to an appropriate
degree of accuracy.
4. Multiplication of a binomial by a trinomial.
5. Factorization to include types taught in grade 9
and:
trinomials
grouping in pairs
sum and difference of two cubes
6%
24/01 – 0/01
(5 days)
6. Simplification of algebraic fractions using
Factorization
9%
31/01 –03/01
(4 days)
7. Addition and subtraction of algebraic fractions
with
denominators of degree at most 3.
F TEST/
ASSIGMENT
SBA weighting :10
12%
Page 2 of 36
Term 1 continued
DATE TOPIC CURRICULUM STATEMENT F/IF? ASSESSMENT DATE
COMPLETED
HOD:
Signature and Date
%
COMPLETED
06/02 –10/02
(5 days)
ALGEBRA
PART 2
(Exponents)
1. Revise laws of exponents learnt in
Grade 9 where nmyx ,;0, :
nmnm xxx
nmnm xxx
mnnm xx )(
mmm xyyx )(
Also, by definition:
n
n
xx
1
, 0x and 10 x , 0x .
F
15%
13/02 –17/02
(5 days)
2. Use the laws of exponents to
simplify expressions and solve
equations, accepting that the rules
also hold for ,m Qn .
18%
20/02 –24/02
(5 days)
ALGEBRA
PART 3
(Equations and
Inequalities)
1. Revise the solution of linear equations.
2. Solve quadratic equations (by factorization).
21%
20/02 –24/02
(5 days)
3. Solve simultaneous linear equations in two
unknowns.
4. Solve word sums involving linear, quadratic
or simultaneous linear equations.
24%
27/02 –03/03
(5 days)
5. Solve literal equations (changing the subject
of a formula).
6. Solve linear inequalities (and show
solution graphically). Interval notation must
be known.
27%
Page 3 of 36
Term 1 continued
DATE TOPIC CURRICULUM STATEMENT F/IF? ASSESSMENT DATE
COMPLETED
HOD:
Signature and Date
%
COMPLETED
13/02 –17/03
(5 days)
NUMBER
PATTERNS
Patterns: Investigate number patterns leading to
those where there is a constant difference between
consecutive terms, and the general term is
therefore linear. (Do not use the formula
dnaTn )1( .)
MARCH
CONTROLLED
TEST
SBA weighting :10
30%
MARCH TEST to cover all the work done during Term 1
Page 4 of 36
DATE TOPIC CURRICULUM STATEMENT F/IF? ASSESSMENT
DATE
COMPLETE
D
HOD:
Signature and Date
%
COMPLETED
TERM 2 2 TASKS FOR TERM 2
18/04 –25/04
(6 days)
EUCLIDEAN
GEOMETRY
1. Revise basic results established in earlier
grades regarding lines, angles and triangles,
especially the similarity and congruence of
triangles.
2. Investigate line segments joining the
midpoints of two sides of a triangle.
33%
26/02 –03/05
(6 days)
3. Define the following special quadrilaterals:
the kite, parallelogram, rectangle, rhombus,
square and trapezium. Investigate and make
conjectures about the properties of the sides,
angles, diagonals and areas of these
quadrilaterals. Prove these conjectures.
37%
04/05 –11/05
(6 days)
4. Solve problems and prove riders
using the properties of parallel lines,
triangles and quadrilaterals.
41%
17/05 –24/05
(6 days) FUNCTIONS
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 by xy should
be known from Grade 9.
INVESTIGATION
/PROJECT
SBA Weighting:20
44%
Page 5 of 36
Term 2 continued
25/05 –01/06
(6 days)
FUNCTIONS
2. Point by point plotting of basic graphs defined
by ,2xy x
y1
and ;xby 0b and
1b 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 a and q on the
graphs defined by ,)(. qxfay where
, ,)( 2xxf x
xf1
)( and
,)( xbxf 0b and 1b
50%
02/06–09/06
(6 days)
4. Sketch graphs, find the equations of
given graphs and interpret graphs.
Note: Sketching of the graphs must be
based on the observation of number 3.
JUNE
EXAMINATION
SBA
weighting :30
54%
JUNE EXAMINATION to cover all the work done during Terms 1 and 2.
f x x
Page 6 of 36
DATE TOPIC CURRICULUM STATEMENT F/IF? ASSESSMENT DATE
COMPLETED
HOD:
Signature and Date
%
COMPLETED
TERM 3
2 TASKS FOR TERM 3
24/07–03/08
(8 days)
TRIGONOMETRY
PART 1
1. Define the trigonometric ratios sin ,
cos and tan using right-angled
triangles.
2. Define the reciprocals of the
trigonometric ratios cosec , sec and
cot , using right-angled triangles
(these three reciprocals should be
examined in grade 10 only.)
3. Derive values of the trigonometric
ratios for the special cases (without
using a calculator),
}.90;60;45;30;0{
60%
04/08–12/08
(7 days)
4. Solve simple trigonometric equations for
angles between 00 and 900.
5. Solve two-dimensional problems
involving right-angled triangles.
63%
14/08–17/08
(6 days)
TRIGONOMETRY
PART 2
1. Extend the definitions of sin , cos
and tan for 3600 .
2. Use diagrams to determine the
numerical values of ratios for angles
from 0 to
360 .
67%
3. Point by point plotting of basic graphs
defined by siny , cosy and
tany for ]360;0[ .
F
TEST
SBA weighting
:10
71%
Page 7 of 36
Term 3 continued
DATE TOPIC CURRICULUM STATEMENT F/IF? ASSESSMENT DATE
COMPLETED
HOD:
Signature and Date
%
COMPLETED
18/08–24/08
(5 days)
TRIGONOMETRY
PART 2 continued
4. Study the effect of a and q on the graphs
defined by qay sin ;
qay cos ; and ,tan qay
for ]360;0[ .
5. Sketch graphs, find the equations of given
graphs and interpret graphs.
Note: Sketching of the graphs must be based on
the observation of number 4.
76%
25/08–05/09
(5 days)
FINANCE AND
GROWTH
1. Use the simple and compound
growth formulae [ )1( inPA and
niPA )1( ]
to solve problems,
including annual interest, hire
purchase, inflation, population growth
and other real-life problems.
2. Understand the implication of
fluctuating foreign exchange rates
(e.g. on the petrol price, imports,
exports, overseas travel).
80%
06/09–12/09
(5 days) STATISTICS
1.Revise measures of central tendency
in ungrouped data.
2. Measures of central tendency in
grouped data:
calculation of mean estimate of
grouped 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, interquartile and
semi- interquartile range.
84%
Page 8 of 36
Term 3 continued
DATE TOPIC CURRICULUM STATEMENT F/IF
? ASSESSMENT
DATE
COMPLETED
HOD:
Signature and Date
%
COMPLETED
13/09–19/09
(5 days)
STATISTICS
Continued
3. Five number summary (maximum, minimum
and quartiles) and box and whisker diagram.
4. 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.
F
88%
20/09–23/09
(4 days)
ANALYTICAL
GEOMETRY
Represent geometric figures on a Cartesian co-
ordinate system.
Derive and apply for any two points, );( 11 yx
and );( 22 yx , the formulae for calculating the:
1. distance between the two points;
2. gradient of the line segment
connecting the two points (and from
that identify parallel and perpendicular lines);
and
3. coordinates of the midpoint of the line
segment joining the two points.
SEPTEMBER
CONTROLLED
TEST
SBA
weighting :10
92%
SEPTEMBER EXAMINATION to cover all the work done during Terms 1. 2 and 3.
Page 9 of 36
DATE TOPIC CURRICULUM STATEMENT F/IF? ASSESSMENT DATE
COMPLETED
HOD:
Signature and Date
%
COMPLETED
TERM 4
2 TASKS FOR TERM 4
09/10–20/09
(3 days) PROBABILITY
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 A and B in a sample space S:
)()()()( BandAPBPAPBorAP
B);
A and B are mutually exclusive if
0)( BandAP ;
A and B are complementary if they
are mutually exclusive and
1)()( BPAP ;
Then: )(1)()( APAnotPBP .
96%
23/10–06/10
(3 days) MEASUREMENT
1. Revise the volume and surface areas of right-
prisms and cylinders.
2. Study the effect on volume and surface area
when multiplying any dimension by a
constant factor k .
3. Calculate the volume and surface areas of
spheres, right pyramids and right cones.
In case of pyramids, bases must either be
an equilateral triangle or a square.
Problem types must include composite
figures.
F TEST
SBA weighting :10
100%
NOVEMBER EXAMINATION to cover all the work done during Terms 1, 2, 3 and 4.
Page 10 of 36
GR. 10 MATHEMATICS 2017 TEST and EXAMINATION SCOPE/GUIDELINES
I declare that the above CASS tasks were done by me, and the marks indicated above are authentic.
Name : Term 1 Term 2 Term 3
Date :
Signatures:
Page 31 of 36
PROVINCE OF KWAZULU NATAL
DEPARTMENT OF EDUCATION
PROVINCIAL EXAMINATIONS AND ASSESSMENT
ANNEXURE 1
DECLARATION OF AUTHENTICITY: TO BE COMPLETED BY THE LEARNER
NAME OF SCHOOL
NAME OF LEARNER (Full name(s) and surname)
EXAMINATION NUMBER (where applicable)
NAME OF EDUCATOR
I hereby declare that all pieces of writing contained in this evidence of performance are my own original work and that if I have made use of any resources, I have acknowledged sources. ABSENCE:
I agree that should I miss a component of School –Based Assessment (SBA) without a valid reason, I will be awarded a zero mark (“0”) for such component.
I shall endeavor to be present for all tests and examinations and should this be impossible, I shall provide evidence for my absence.
I am aware that frequent absence from school may result in my School-Based Assessment being affected.
I agree that if it is proved that I have engaged in copying information from publications, electronic media and from previous candidates’ work or I have engaged in any fraudulent activities in connection with my SBA task(s), then I could forfeit the marks for this assessment. _____________________________ ________________________ CANDIDATE’S SIGNATURE DATE As far as I know, the above declaration by the learner is true and I accept that the work offered is his or her own. _______________________ ______________________
TEACHER’S SIGNATURE DATE
Page 32 of 36
COGNITIVE LEVEL ANALYSIS GRID SUMMARY
1 2 3 4
Descriptors KNOWLEDGE ROUTINE COMPLEX PROBLEM
SOLVING
20% 35% 30% 15%
TOTAL
%
Level
Question
Page 33 of 36
TRACKING LEARNER PERFORMANCE Page 1 of 2
SCHOOL: TEACHER: SUBJECT:
DISTRICT: YEAR: TERM:
1. TERM ANALYSIS
………………………………………… Date ………./…….../20……
Signature of teacher
………………………………………… Date ………/…….../20…...
Signature of HOD
Gra
de
20
16
Pas
s%
2017
20
17
Pas
s %
No. Per performance level
TOTA
L
No
. of
entr
ies
No
.
Pas
sed
No
. fai
led
1
2
3
4 5 6 7
All learners Grade 10
Progressed Learners Grade 10
All learners Grade 11
Progressed Learners Grade 11
All learners Grade 12
Progressed Learners Grade 12
SCHOOL STAMP
Page 34 of 36
Page 1 of 2
2. QUARTERLY TARGETS
Grade Target
March
%Achieved
March
Target
June
% Achieved
June
Target
Trial/Sept
% Achieved
Trial /Sept
Target
Nov
Achieved
Nov %
All learners
Grade 10
Progressed Learners
Grade 10
All learners
Grade 11
Progressed Learners
Grade 11
All learners
Grade 12
Progressed Learners
Grade 12
………………………………………… Date ………./…….../20……
Signature of teacher
………………………………………… Date ………/…….../20…...
Signature of HOD
SCHOOL STAMP
Page 35 of 36
KZN DEPARTMENT OF EDUCATION Page 1 of 2
MATHEMATICS DIAGNOSTIC ANALYSIS FOR SBA TASKS
2017
DISTRIBUTION OF MARKS
RATING CODE RATING MARKS % NUMBER OF LEARNERS
7 Outstanding achievement 80 – 100
6 Meritorious achievement 70 – 79
5 Substantial achievement 60 – 69
4 Adequate achievement 50 – 59
3 Moderate achievement 40 – 49
2 Elementary achievement 30 – 39
1 Not achieved 0 – 29
NO. WROTE NO. PASSED NO. FAILED AVERAGE %
NAME OF SCHOOL
NAME OF TEACHER
GRADE
TYPE OF ASSESSMENT TASK
ASPECTS/ SECTIONS COVERED
MAXIMUM MARK DURATION
Page 36 of 36
DIAGNOSTIC ANALYSIS Page 2 of 2
(Identify the questions where learners have performed poorly and indicate the reason/s for the poor performance. The reason/s could relate to teaching,
learning or both or any other)
Question
Number
Description of specific errors Reasons for poor performance Remedial Measures
COMMENTS BY MODERATOR : _________________________________________________________________________________________