GRADE 10 sba ADMINISTRATION dOCUMENTS - Weebly

FET MATHEMATICS GRADE 10

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

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COMPILED BY KZN FET MATHEMATICS ADVISORS

KZN DEPARTMENT OF EDUCATION MATHEMATICS ANNUAL TEACHING PLAN

GRADE 10 ? 2019

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

DATE

09/01 ? 10/01 (2 days)

11/01 ?17/01 (5 days)

18/01 ? 21/01 (2 days)

22/01 ?24/01 (3 days)

25/01 (1 day)

28/01 ?31/01 (4 days)

TERM 1

TOPIC

CURRICULUM STATEMENT

ASSESSMENT

F/IF?

DATE STARTED

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.

ALGEBRA PART 1

(ALGEBRAIC EXPRESSIONS)

3. Round decimal numbers to an appropriate degree of accuracy.

4. Multiplication of a binomial by a trinomial. 5. Factorisation to include types taught in grade 9 and:

? trinomials ? grouping in pairs ? sum and difference of two cubes

6. Simplification of algebraic fractions using factorization.

7. Addition and subtraction of algebraic fractions with denominators of degree at most 3.

1. Revise laws of exponents learnt in Grade 9 where x, y 0; m, n Z :

ALGEBRA PART 2

(Exponents)

? xm xn xmn

? xm xn xmn

? (xm )n xmn ? xm ym (xy)m

Also, by definition: ? xn 1 , x 0 and x0 1, x 0

xn

2. Use the laws of exponents to simplify expressions and solve INVESTIGATION

equations, accepting that the rules also hold for m, nQ .

SBA weighting: F

15

DATE COMPLETED

HOD: SIGNATURE AND DATE

% COMPLETED

1%

4%

5% 7%

8%

11%

Page 1 of 28

DATE 01/02 ?05/02

(3 days) 06/02 ?11/02

(4 days) 12/02 ?14/02

(3 days)

15/02 ? 01/03 (11 days)

04/03 ?07/03 (4 days)

08/03?15/03 (6 days)

TERM 1 (continued)

TOPIC

CURRICULUM STATEMENT

ASSESSMENT

F/IF?

DATE STARTED

ALGEBRA PART 3

(Equations and Inequalities)

EUCLIDEAN GEOMETRY

1. Revise the solution of linear equations. 2. Solve quadratic equations (by factorisation). 3. Solve simultaneous linear equations in two unknowns. 4. Solve word sums involving linear, quadratic or

simultaneous linear equations. 5. Solve literal equations (changing the subject of a formula). 6. Solve linear inequalities (and show solution graphically).

Interval notation must be taught. 1. Revise basic results established in earlier grades regarding

lines, angles and triangles, especially the similarity and congruence of triangles. 2. 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. 3. Investigate line segments joining the midpoints of two sides of a triangle 1. Define the trigonometric ratios sin , cos and tan using right-angled triangles.

TRIGONOMETRY PART 1

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), 0; 30; 45;60; 90 .

MARCH TEST

March Test to cover all the work done during term 1, except Trigonometry and Midpoint theorem.

MARCH TEST SBA weighting: F

10

DATE COMPLETED

HOD: SIGNATURE AND DATE

% COMPLETED

13%

16%

18%

26% 29% 33%

Page 2 of 28

DATE

02/04?08/04 (5 days)

09/04?24/04 (10 days)

25/04 ? 02/05 (5 days)

03/05 ? 08/05 (4 days)

TERM 2

TOPIC

TRIGONOMETRY PART 1

(continued)

ANALYTICAL GEOMETRY

NUMBER PATTERNS

FUNCTIONS

CURRICULUM STATEMENT

4. Solve simple trigonometric equations for angles between 00 and 900.

5. Extend the definitions of sin , cos and tan for 0 360 .

6. Use diagrams to determine the numerical values of ratios for angles from 0 to 360 .

Represent geometric figures on a Cartesian co-ordinate system.

Derive and apply for any two points, (x1; y1) and (x2 ; y2 ) , 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. 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 Tn a (n 1)d.

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 y x should be known from

Grade 9.

ASSESSMENT

ASSIGNMENT SBA weighting:

15

F/IF?

DATE STARTED

F

DATE COMPLETED

HOD: SIGNATURE AND DATE

% COMPLETED

37%

44% 48% 51%

Page 3 of 28

TERM 2 (continued)

DATE

TOPIC

CURRICULUM STATEMENT

ASSESSMENT

F/IF?

DATE STARTED

2. Point by point plotting of basic graphs defined by y x2,

09/05 ?24/05 (12 days)

FUNCTIONS

y 1 and y bx ; b 0 and b 1to discover shape, x

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

y a. f (x) q, where f x x , f (x) x2, f (x) 1 and

x f (x) bx , b 0 and b 1.

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 above. 1. Point by point plotting of basic graphs defined by y sin ,

y cos and y tan for 0;360 .

2. Study the effect of a and q on the graphs defined by

27/05 ? 31/05 (5 days)

TRIGONOMETRY PART 2

y asin q ; y a cos q and y a tan q , for

0;360 .

3. Sketch graphs, find the equations of given graphs and

interpret graphs.

Note: Sketching of the graphs must be based on the

observation of number 2 above.

03/06 ? 14/6 (10 days)

JUNE

June Examination to cover all the work done during Terms 1

EXAMINATION and 2.

JUNE EXAM SBA weighting:

30

F

DATE COMPLETED

HOD: SIGNATURE AND DATE

% COMPLETED

59%

63%

Page 4 of 28

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