Course Content
Quadratic Equations and Graphs
Solve quadratic equations using factorisation, completing the square, and the quadratic formula; sketch and interpret quadratic graphs.
0/5
Solving quadratic equations by Factorisation Method
08:42
Solving by Completing the Square Method
10:32
Solving Using the Quadratic Formula Method
07:27
Sketching and Interpreting Quadratic Graphs
Worksheet: Quadratic Equations & Graphs Practice
Linear Inequalities
Builds on linear inequalities from Sec 2, covering systems of inequalities in one and two variables, solution sets on number lines and graphs, and real-life problem applications.
0/3
Linear Inequalities in One Variable & Representing Solutions on Number Lines
05:37
Solving Compound Inequalities
06:42
Worksheet: Linear Inequalities Practice
Indices
Introduces and applies the laws of indices to simplify expressions, including zero and negative indices. Also includes solving equations involving indices and standard form notation.
0/5
Laws of Indices
14:12
Combining Index Laws
06:42
Solving Equations Involving Indices
05:35
Introduction to Standard Form
07:05
Worksheet: Indices Practice
Coordinate Geometry
Covers calculation of midpoint, distance between two points, and gradients. Students learn to derive the equation of a straight line and solve geometric problems using coordinate methods.
0/6
Midpoint of a Line Segment
03:57
Distance Between Two Points
06:23
Gradient (Slope) of a Line
04:35
Equation of a Straight Line (y = mx + c)
05:13
Parallel and Perpendicular Lines
05:57
Worksheet: Coordinate Geometry Practice
Functions and Graph
Students are introduced to the concept of functions, domain and range, and graphical representations of linear and quadratic functions. Emphasis is placed on plotting, interpreting, and using graphs to solve problems.
0/4
Linear & Quadratic Graphs
Transformations of Functions
Curves & Exponentials
Worksheet: Functions & Graphs Practice
Congruency and Similarity
Explores the criteria for triangle congruency (SSS, SAS, ASA, RHS) and similarity (AA, SSS, SAS). Students apply these to solve geometric problems and prove properties of figures.
0/3
Congruent Triangles
Similar Shapes & Scale Factor
Worksheet: Congruency & Similarity Practice
Further Trigonometry
Extends trigonometric knowledge to include trigonometric identities, applications involving non-right-angled triangles, and solving problems using the sine and cosine rules.
0/5
TOA CAH SOH – Right-Angled Trigonometry
08:25
Sine Rule – Non-Right-Angled Triangles
08:15
Cosine Rule – Finding Sides and Angles
Area of a Triangle (Trigonometric Formula)
07:28
Worksheet: Further Trigonometry Practice
Applications of Trigonometry
Applies trigonometry to real-world contexts including 3D problems, bearings, and angles of elevation and depression. Students interpret and solve word problems using diagrams.
0/4
Angles of Elevation and Depression
Bearings
Trigonometry in 3D Figures
Worksheet: Applications of Trigonometry Practice
Mensuration – Arc Length, Sector Area, and 3D Solids
Calculate arc length and area of sectors; find surface area and volume of 3D solids such as cones, spheres, and pyramids.
0/3
Arc Length and Sector Area
Surface Area and Volume of 3D Solids
Worksheet: Arc Length & Sector Area Practice
Properties of Circles
Covers geometric properties related to circles including angles at the centre, angles in the same segment, cyclic quadrilaterals, perpendiculars from centre to chord, and tangents. Used to prove and solve angle problems in circle diagrams.
0/3
Circle Theorems
Tangents and Arcs
Worksheet: Properties of Circles Practice
Secondary 3 Elementary Mathematics
About Lesson

Students learn to solve linear inequalities and express solutions using inequality notation, set notation, and interval notation. Emphasis on maintaining inequality direction when multiplying/dividing by negative values.

 

Students draw number lines and shade solution regions for single inequalities and compound inequalities using open and closed circles for clarity.

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