Gd 10 Math

 📅 Term 1: Number Bases, Modular Arithmetic, & Core Algebra

Unit 1: Number Bases & Modular Arithmetic  

• Number Bases: Solve equations involving unknown number bases. Convert decimals between Base 10 and other bases.

• Modular Arithmetic: Perform addition, subtraction, and multiplication in modulo systems. Apply modular systems to real-life cycles (days of the week, clocks).  

Unit 2: Indices, Logarithms, & Sets  

• Indices: Solve exponential equations involving fractional and negative indices.

• Logarithms: Apply the laws of logarithms. Use logarithm tables to perform multiplication, division, powers, and roots.

• Set Theory: Define universal sets, subsets, complements, intersections, and unions. Solve practical real-world problems using 2-set and 3-set Venn diagrams.  

Unit 3: Algebraic Expressions & Factoring  

• Expansion: Expand complex algebraic expressions up to three brackets.

• Factorisation: Factorise quadratic expressions (ax² + bx + c) where a > 1. Factorise by grouping terms.

• Algebraic Fractions: Simplify fractions. Perform addition, subtraction, multiplication, and division on algebraic fractions.  

📅 Term 2: Equations, Functions, & Trigonometry

Unit 4: Linear & Quadratic Equations  

• Simultaneous Linear Equations: Solve three-variable systems using substitution and elimination.

• Quadratic Equations: Solve equations using factorisation, completing the square, and the quadratic formula 

• Word Problems: Convert real-life scenarios into quadratic or simultaneous linear equations.  

Unit 5: Linear Inequalities  

• Linear Inequalities: Solve first-degree inequalities in one variable.

• Graphical Representation: Plot inequality solutions on a number line. Graph two-variable inequalities on a Cartesian plane. 

Unit 6: Coordinate Geometry & Trigonometry  

• Coordinate Geometry: Calculate the distance between two points, the midpoint of a line segment, and the gradient of a straight line.

• Trigonometric Ratios: Apply Sine, Cosine, and Tangent (SOH-CAH-TOA) to right-angled triangles.

• Angles of Elevation & Depression: Solve real-world word problems using trigonometric ratios and scale diagrams.  

📅 Term 3: Mensuration, Logical Reasoning, & Statistics

Unit 7: Advanced Mensuration  

• 2D Sector Properties: Calculate the arc length, perimeter, and area of a sector or segment of a circle.

• 3D Solid Shapes: Calculate the surface area and volume of cones, spheres, pyramids, and composite shapes.  

Unit 8: Logical Reasoning  

• Statements & Connectives: Identify true or false simple statements. Use logical connectives: implication (⇒), bi-implication (⇔), conjunction (⋀), and disjunction (⋁).

• Truth Tables: Construct truth tables for compound statements. Determine the converse, inverse, and contrapositive of conditional statements.

Unit 9: Statistics & Year-End Revision  

• Data Presentation: Construct cumulative frequency tables and draw Ogives (cumulative frequency curves).

• Measures of Central Tendency: Calculate the mean, median, and mode for grouped data using assumed mean methods.