GRADE 11 sba ADMINISTRATION dOCUMENTS

FET MATHEMATICS GRADE 11

SBA ADMINISTRATION DOCUMENTS

2019

ASPECT ANNUAL TEACHING PLAN COMMON TESTS & EXAMINATION SCOPES SBA MODERATION TOOL PROGRAM OF ASSESSMENT CONSOLIDATION SHEET LEARNER DECLARATION COGNITIVE LEVEL GRID LEARNER TRACKING FORM DIAGNOSTIC ANALYSIS GRID

PAGE NO. 1 7

8 21 22 23 24 25 27

COMPILED BY KZN FET MATHEMATICS ADVISORS

KZN DEPARTMENT OF EDUCATION MATHEMATICS ANNUAL TEACHING PLAN

GRADE 11 ? 2019

NAME OF SCHOOL: ................................................ NAME OF TEACHER: ..............................................

DATES

09/1 ? 16/1 (6 days)

17/1 ? 18/1 (2 days)

21/ 1? 22/1 (2 days)

23/1 ? 25/1 (3 days)

28/1 ? 31/1 (4 days)

01/2 ? 07/2 (5 days)

08/2 ? 15/2 (6 days)

TERM 1

TOPIC

EXPONENTS AND SURDS

CURRICULUM STATEMENT

? Simplify expressions using the laws of exponents for rational

p

exponents where x q q x p ; x 0; q 0. ? Solve equations using the laws of exponents for rational exponents

p

where x q q x p ; x 0; q 0.

ASSESSMENT

F/IF

DATE STARTED

DATE COMPLETED

EXPONENTS AND SURDS EXPONENTS AND SURDS

EQUATIONS

? Add, Subtract, Multiply and Divide Simple Surds.

? Solve simple equations involving surds. ? Revision of factorization. ? Quadratic equations (by factorisation). ? Complete the square.

EQUATIONS AND ? Quadratic equations (by using the quadratic formula). INEQUALITIES ? Quadratic inequalities in one unknown (Interpret solutions graphically).

SIMULTANEOUS ? Equations in two unknowns, one of which is linear and the other

EQUATIONS &

quadratic.

NATURE OF ROOTS

? Nature of roots.

INVESTIGA-

TION SBA weighting:

F

15

EUCLIDEAN GEOMETRY

? Revision of grade 10 geometry (1 day)

? Investigate and prove the following theorems of the geometry of circles, assuming results from earlier grades: The line drawn from the centre of a circle perpendicular to a chord bisects the chord; The perpendicular bisector of a chord passes through the centre of the circle; The angle at the centre of a circle is double the size of the angle at the circle. Angles subtended by a chord of the circle, on the same side of the chord, are equal.

HOD: SIGNATURE

and DATE

% COMPLETED

5% 6% 7% 9% 12% 16%

21%

Page 1 of 28

DATES 18/2 ? 19/2

(2 days)

20/2 ? 22/2 (3 days)

25/2 ? 27/2 (3 days)

28/2 ? 15/3 (12 days)

TOPIC EUCLIDEAN GEOMETRY

EUCLIDEAN GEOMETRY

EUCLIDEAN GEOMETRY

TRIGONOMETRIC

IDENTITIES and

REDUCTION FORMULAE

MARCH TEST

TERM 1 (continued) CURRICULUM STATEMENT

ASSESSMENT

F/IF

DATE STARTED

DATE COMPLE

TED

HOD: SIGNATURE

and DATE

? Solve circle geometry problems, providing reasons for statements.

? Accept results established in earlier grades as axioms and that a tangent to a circle is perpendicular to the radius, drawn to the point of contact. Then investigate and prove the following theorems of the geometry of circles:

The opposite angles of a cyclic quadrilateral are supplementary;

Two tangents drawn to a circle from the same point outside the circle are equal in length;

The angle between the tangent to a circle and the chord drawn from the point of contact is equal to the angle in the alternate segment.

? Solve circle geometry problems, providing reasons for statements.

The proofs of the four theorems printed in bold above can be asked in examinations.

(See Gr. 11 Examination Guidelines page 7.)

? Derive and use the identities:

tan sin ; k.90 , k an odd integer; cos

sin2 cos2 1.

? Determine for which values of a variable an identity holds.

? Derive and use reduction formulae to simplify the following expressions: sin(90? ? ); cos(90? ? );

sin(180? ? ); cos(180? ? ); tan(180? ? ); sin(360? ? ); cos(360? ? ); tan(360? ? ); and sin(-); cos(-); tan(-).

? Proving trigonometric identities

March Test to cover the work done during Term 1, except: Proving Trigonometric Identities.

MARCH TEST SBA weighting: F

10

% COMPLETED

22%

24%

26%

35%

Page 2 of 28

DATES

02/4 ? 08/4 (5 days)

09/4-15/4 (5 days)

16/4 ? 24/4 (5 days)

25/4 ? 26/4 (2 days)

29/4 ? 02/05 (3 days)

03/5 ? 08/5 (4 days)

09/5 ? 16/5 (5 days)

17/5 ? 22/5 (4 days)

TOPIC TRIG EQUATIONS and GENERAL SOLUTIONS

ANALYTICAL GEOMETRY

ANALYTICAL GEOMETRY

NUMBER PATTERNS NUMBER PATTERNS

FUNCTIONS

FUNCTIONS

FUNCTIONS

TERM 2

CURRICULUM STATEMENT

? Determine the general solution and / or specific solutions (given intervals) of trigonometric equations.

? The equation of a line through two given points. ? The equation of a line through one point and parallel or

perpendicular to a given line. ? Collinear lines. ? The inclination () of a given line, where m tan is the gradient of

the line ( 0 180 ). ? Applications.

? Revise linear number patterns.

? Investigate number patterns leading to those where there is a constant second difference between consecutive terms, and the general term is therefore quadratic.

? Revise the effect of the parameters a and q and investigate the effect of p on the graph of the function defined by

y f x ax p2 q

? Revise the effect of the parameters a and q and investigate the effect of p on the graph of the function defined by

y f x a q

x p ? Revise the effect of the parameters a and q and investigate the effect

of p on the graph of the function defined by

y f x a.bx p q , where b 0 and b 1.

ASSESSMENT

F/IF

DATE STARTED

DATE COMPLE

TED

HOD: SIGNATURE

and DATE

% COMPLETED

39%

43%

47% 48% 50% 53%

57%

ASSIGNMENT

SBA weighting: F

60%

15

Page 3 of 28

DATES

TOPIC

23/5 ? 27/5 (3 days)

FUNCTIONS

28/5 ? 14/6 (14 days)

JUNE EXAMS

TERM 2 (continued)

CURRICULUM STATEMENT

? Investigate numerically the average gradient between two points on a curve.

? Develop an intuitive understanding of the concept of the gradient of a curve at a point.

? Interpretations, applications and practical problems. NB: Integration between Nature of roots and Functions.

June Examination to cover the work done during Terms 1 and 2.

ASSESSMENT

F/IF

DATE STARTED

DATE COMPLE

TED

HOD: SIGNATURE

and DATE

% COMPLETED

62%

JUNE EXAMI-

NATION SBA weighting:

F

30

Page 4 of 28

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