Gr 10 Tech Math ATP 2023 24

2023/24 ANNUAL TEACHING PLANS: TECHNICAL MATHEMATICS: GRADE 10 2023/24 ANNUAL TEACHING PLANS: TECHNICAL MATHEMATICS: GRADE 10 (TERM 1) TERM 1 WEEK 1 WEEK 2 WEEK 3 WEEK 4 WEEK 5 WEEK 6 WEEK 7 WEEK 8 WEEK 9 WEEK 10 WEEK 11 DATE COMPLETED NUMBER SYSTEMS (INCLUDING BINARY NUMBERS AND CAPS TOPICS EXPONENTS ALGEBRAIC EXPRESSIONS REVISION/ASSESSMENT INTRODUCTION OF COMPLEX NUMBERS) TOPICS/CONCEPTS, 1. Identify rational numbers and convert terminating or recurring 1. Simplify expressions using the laws of 1. Revise notation (interval, set builder, number line, sets) All Term 1 topics SKILLS AND VALUES a exponents for integral exponents 2. Adding and subtracting of algebraic terms decimals into the form where a, b Z and b  0. 2. Solve exponential equations (accepting that b 3. Multiplication of a binomial by a binomial the laws of exponents hold for real 4. Multiplication of a binomial by a trinomial 2. Introduce binary and complex numbers exponents and solutions are not 3. Determine between which two integers a given simple surd lies 5. Determine the HCF and LCM of not more than three numerical or monomial algebraic expressions by making use of necessarily integral or even rational) factorisation 4. Round real numbers to an appropriate degree of accuracy (to a 3. Revise scientific notation given number of decimal digits) 6. Factorise: • Common factor (revision) • Grouping in pairs • Difference of two squares (revision) • Trinomials • Difference and sums of two cubes; and 7. Algebraic fractions • Simplifying, adding, subtracting, multiplying and division with numerators and denominators limited to the polynomials covered in factorisation PAT & SBA ASSIGNMENT & TEST Downloaded from hlayiso.com 1

2023/24 ANNUAL TEACHING PLANS: TECHNICAL MATHEMATICS: GRADE 10 2023/24 ANNUAL TEACHING PLANS: TECHNICAL MATHEMATICS: GRADE 10 (TERM 2) TERM 2 WEEK 1 WEEK 2 WEEK 3 WEEK 4 WEEK 5 WEEK 6 WEEK 7 WEEK 8 WEEK 9 WEEK 10 WEEK 11 DATE COMPLETED CAPS TOPICS EQUATIONS AND INEQUALITIES TRIGONOMETRY REVISION/ASSESSMENT TOPICS/CONCEPTS, 1. Revise notation (interval, set builder, number line, sets) 1. Know definitions of the trigonometric ratios sin θ, cos θ and tan θ, using right-angled triangles Term 1 & 2 content SKILLS AND 2. Solve linear equations for 0°≤ θ ≤ 360° VALUES 3. Solve equation with fractions 2. Introduce the reciprocals of the 3 basic trigonometric ratios, sin θ, cos θ and tan θ 4. Manipulation of formulae (change subject of the formula) 3. Trigonometric ratios in each of the quadrants are calculated where one ratio in the quadrant is 5. Solve quadratic equations by factorisation of the form: given by making use of diagrams (No variables) • 𝑥 2 + 𝑏𝑥 + 𝑐 = 0 4. Practise the use of a calculator for questions applicable to trigonometry • −𝑥 2 + 𝑏𝑥 + 𝑐 = 0 5. Solve simple trigonometric equations for angles between 0 and 90 𝑎𝑥 2 + 𝑏𝑥 + 𝑐 = 0 where 𝑎 is a common factor 6. Solve two-dimensional problems involving right angled triangles (no variables) 6. Solve simultaneous linear equations with two variables 7. Trigonometry graphs: 7. Solve word problems involving linear, quadratic, or simultaneous • 𝑦 = 𝑎𝑠𝑖𝑛𝜃, 𝑦 = 𝑎𝑐𝑜𝑠𝜃 and 𝑦 = 𝑎𝑡𝑎𝑛𝜃 for 0° ≤ 𝜃 ≤ 360° linear equations • 𝑦 = 𝑎𝑠𝑖𝑛𝜃 + 𝑞 and 𝑦 = 𝑎𝑐𝑜𝑠𝜃 + 𝑞 for 0° ≤ 𝜃 ≤ 360° 8. Solve simple linear inequalities PAT & SBA PAT 1 & TEST /JUNE EXAMIINATION Downloaded from hlayiso.com 2

2023/24 ANNUAL TEACHING PLANS: TECHNICAL MATHEMATICS: GRADE 10 2023/24 ANNUAL TEACHING PLANS: TECHNICAL MATHEMATICS: GRADE 10 (TERM 3) TERM 3 WEEK 1 WEEK 2 WEEK 3 WEEK 4 WEEK 5 WEEK 6 WEEK 7 WEEK 8 WEEK 9 WEEK 10 WEEK 11 DATE COMPLETED CAPS TOPICS EUCLIDEAN GEOMETRY ANALYTICAL GEOMETRY FUNCTIONS AND GRAPHS REVISION/ASSESSMENT TOPICS/CONCEPTS, 1.Revise basic geometry done in Grades 8 and 9 1. Represent geometric figures on a 1. Functional notation Term 3 content SKILLS AND VALUES • Lines and parallel lines, angles, triangles congruency and similarity Cartesian co-ordinate system 2. Generate graphs by means of point-by-point plotting supported by • Pythagoras’ theorem 2. Apply for any two points ( x ; y ) ( x ; y ) 1 1 2 2 available technology. • Calculate the unknown side of a right-angled triangle. formulae for determining the: 3. Drawing of the following functions: 2. Apply the properties of line segments joining the mid-points of two sides of a triangle. Do practical problems. • Distance between the two points • Linear function 3. Know the features of the following special quadrilaterals: the kite, parallelogram, rectangle, rhombus, square and • Gradient of the line segment connecting • Quadratic function 4. Trapezium (apply to practical problems) the two points (and from that identify • Hyperbola parallel and perpendicular lines) • Exponential • Coordinates of the mid-point of the line segment joining the two points; and • The equation of a straight line passing through two points. 𝑦 = 𝑚𝑥 + 𝑐 PAT & SBA PAT 2 & TEST Downloaded from hlayiso.com 3

2023/24 ANNUAL TEACHING PLANS: TECHNICAL MATHEMATICS: GRADE 10 2023/24 ANNUAL TEACHING PLANS: TECHNICAL MATHEMATICS: GRADE 10 (TERM 4) TERM 4 WEEK 1 WEEK 2 WEEK 3 WEEK 4 WEEK 5 WEEK 6 WEEK 7 WEEK 8 WEEK 9 WEEK 10 DATE COMPLETED CAPS TOPICS CIRCLES, ANGLES, MENSURATION AND ANGULAR FINANCE AND GROWTH REVISION & EXAMS MOVEMENT TOPICS/CONCEPTS, Conversion of units, 1. Define a radian 1. Use the simple and compound growth formulae and All topics/concepts, skills and values SKILLS AND VALUES square units, and cubic 2. Indicate the to solve problems, including interest hire purchase, units. relationship between inflation, population growth and other real-life degrees and radians, problems convert radians to 2. Understanding the implication of fluctuation foreign degrees or degrees to exchange rates (e.g., on the petrol price, imports, radians and minutes to exports, overseas travel) radians and radians to degrees and minutes SBA FINAL EXAMINATION (PAPER 1 & PAPER 2) EXAMINATION PAPER 1 PAPER 2 TOPIC MARKS TOPIC MARKS Algebra (Number system, exponents, expressions, equations and inequalities)) 60 ± 3 Analytical geometry 15 ± 3 Functions & graphs 25 ± 3 Trigonometry 40 ± 3 Finance, growth, and decay 15 ± 3 Euclidean geometry 30 ± 3 Mensuration and circles, angles, and angular movement 15 ± 3 TOTAL 100 TOTAL 100 Downloaded from hlayiso.com 4