Middle and secondary


Chapter 1: Basic Geometrical Ideas
LO 1: Knowing All About Points
LO 2: Differentiating Curves and Polygons
LO 3: Making Line, Line Segments and Circles
LO 4: Making and Using Angles
LO 5: Understanding the Different Types of Angles
LO 6: Making and Using Pairs of Angles

Chapter 2: Lines and Angles
LO 1: Identifying Complementary Angles and their Properties
LO 2: Identifying Supplementary Angles and their Properties
LO 3: Identifying Angles Made by Transversal and their Properties
LO 4: Drawing lines – parallel, perpendicular and intersecting
LO 5: Analysing angles to know its variants types
LO 6: Defining and writing adjacent angles
LO 7: Defining and writing vertically opposite angles
LO 8: Finding angles made by a transversal with two lines

Chapter 3: Understanding Quadrilaterals
LO 1: Analysing Quadrilaterals
LO 2: Applying Angle Sum Property of Quadrilaterals
LO 3: Applying Exterior Angles of Quadrilaterals
LO 4: Confidently Describe Properties of Parallelograms
LO 5: Confidently Describe Properties of Rectangles
LO 6: Confidently Describe Properties of Squares
LO 7: Confidently Describe Properties of Rhombuses
LO 8: Confidently Describe Properties of Kites and Trapeziums

Chapter 4: Quadrilaterals
LO 1: Drawing sum of angles of a quadrilateral
LO 2: Characterising properties of rectangle, square and rhombus
LO 3: Characterising properties of parallelogram
LO 4: Transforming quadrilateral to parallelogram
LO 5: Defining and using intercept theorem and midpoint theorem

Chapter 5: The Triangle and its Properties
LO 1: Utilise the Knowledge of Triangle and its Types
LO 2: Applying Angle Sum Property of a Triangle
LO 3: Applying Exterior Angle Property of a Triangle
LO 4: Applying Triangle Inequality Property
LO 5: Applying Pythagoras Theorem
LO 6: Clearly stating concept of similarity
LO 7: Defining basic proportionality theorem or Thales theorem
LO 8: Knowing internal and external bisectors of angle of a triangle
LO 9: Characterising similarity of triangles
LO 10: Exploring areas of two similar triangles
LO 11: Defining and applying Pythagoras theorem

Chapter 6: Circles
LO 1: Defining characteristics of circles
LO 2: Defining terms related to arcs of a circle
LO 3: Defining characteristics of chord and segment of a circle
LO 4: Defining congruence of circles
LO 5: Defining equal chords
LO 6: Defining characteristics of arcs and angles subtended by chord
LO 7: Defining cyclic quadrilateral and its properties
LO 8: Defining properties of tangent to a circle
LO 9: Characterising tangent to a circle
LO 10: Characterising tangents subtending equal angles at the centre
LO 11: Applying properties of circles in problems

Chapter 7: Congruence of Triangles
LO 1: Exploring the Concept of Congruence
LO 2: Ascertaining SSS Congruency
LO 3: Ascertaining SAS Congruency
LO 4: Ascertaining ASA Congruency
LO 5: Ascertaining RHS Congruency

Chapter 8: Triangles
LO 1: Analysing triangle to know its variants
LO 2: Applying angle sum property of a triangle
LO 3: Applying exterior angle of a triangle
LO 4: Characterising congruence of triangles – Side–Angle–Side (SAS) congruence criterion
LO 5: Characterising congruence of triangles – Angle–Side–Angle (ASA) congruence criterion
LO 6: Characterising congruence of triangles – Angle–Angle–Side (AAS) congruence criterion
LO 7: Characterising congruence of triangles – Side–Side–Side (SSS) congruence criterion
LO 8: Characterising congruence of triangles – Right–Angle–Hypotenuse (RHS) congruence criterion
LO 9: Appreciating and using inequality relations in a triangle

Chapter 9: Visualising Solid Shapes
LO 1: Diagnosing Solid Shapes/Objects
LO 2: Drawing Nets for Building 3D Shapes
LO 3: Methods of Visualising Solid Shapes

Chapter 10: Symmetry
LO 1: Seeing Symmetry in Our Daily Lives
LO 2: Identifying Lines of Symmetry
LO 3: Exploring Symmetry of Some Figures
LO 4: Explaining Effects of Rotation
LO 5: Identifying Lines of Symmetry
LO 6: Making Use of Reflection Symmetry

Chapter 11: Practical Geometry
LO 1: Constructing Key Geometrical Objects
LO 2: Constructing Geometric Objects
LO 2: Constructing Geometrical Objects

Chapter 12: Construction
LO 1: Division of line segments
LO 2: Construction of triangles
LO 2: Construction of tangents to a circle

Chapter 13: Introduction to Euclids Geometry
LO 1: Defining the basics – point, line and plane
LO 2: Defining and using incidence axioms
LO 3: Defining and applying Euclid’s five postulates
LO 4: Making rays and lines

Chapter 14: Introduction to Graphs
LO 1: Conceiving Cartesian Plane
LO 2: Drawing Graph
LO 3: Visualising and using Cartesian system
LO 4: Plotting a point in a plane

Chapter 15: Coordinate Geometry
LO 1: Finding distance between two points
LO 2: Defining and using section formula
LO 3: Applying section formula
LO 4: Finding area of triangle using coordinates
LO 5: Visualising collinearity of three points