About the course
This Cambridge Mathematics IGCSE Core course on shape and space will give you a fundamental base of knowledge on all relevant aspects of the curriculum.
Created to make learning as straightforward as possible, all you need to complete it is a computer with internet connection, calculator, notepad and pen.
By the time you reach the end of the course, you will be proficient in your understanding of shape and space, putting you in a great position to continue your learning and improve your job prospects.
What to expect
Guiding students through each section, this course logically breaks the topic down into small, manageable steps, making learning enjoyable and simple.
Input your answers as you go along to see if they are correct or not, making changes to ensure you understand each section before moving into the next.
The completion bar updates as you work your way through the course, allowing you to see your progress percentage and plan your time effectively.
Benefits
- Teaches an in-depth curriculum on the topic of shape and space
- Requires minimal equipment
- User-friendly style of learning
- Input and mark answers as you learn
- Reach a maximum grade of C
Course Materials
Distance Between Two Points using Coordinates
- Video - Understanding Distance between Two Points Formula (2:24)
- Video - Distance between Two Points (9:10)
- Video - Distance between Two Vertical and Horizontal Points (1:45)
- Video - Find Unknown Values using Distance between Two Points Formula (8:02)
- Video - Understanding Distance Between Two Points (6:26)
- Video - Finding Unknown from Distance between Two Points (5:12)
- Topic - Distance between Two Points 1
- Topic - Distance between Two Points 2
- Topic - Distance between Two Points 3
- Topic - Distance between Two Vertical Points
- Topic - Distance between Two Horizontal Points
- Topic - Distance between Two Points in Surds
- Topic - Finding Unknowns using Distance between Two Points 1
- Topic - Finding Unknowns using Distance between Two Points 2
Midpoint Formula
- Video - Understanding Midpoint Formula (4:27)
- Video - Application of Midpoint Formula (6:42)
- Video - Divide a Line Segment Equally Using Midpoint Formula (3:20)
- Video - Understanding Midpoints (4:40)
- Video - Midpoints and Circles (3:45)
- Topic - Midpoint of Two Points
- Topic - Finding Unknowns in Midpoint of Two Points 1
- Topic - Finding Unknowns in Midpoint of Two Points 2
- Topic - Finding Unknowns in Midpoint of Two Points 3
- Topic - Finding Unknowns in Midpoint of Two Points 4
- Topic - Division of Line Segments in Four Equal Pieces
Gradient of Lines
- Video - Understanding Gradient Formula (3:56)
- Video - Finding Gradients of Straight Lines (2:56)
- Video - Applications of Gradients (6:38)
- Video - Gradient from Two Points (4:10)
- Video - Gradient from an Angle (4:03)
- Video - Finding the Positive Angle of x-axis (4:10)
- Video - Finding Gradients (4:55)
- Video - Gradient Undefined (1:21)
- Video - Gradient Zero (1:32)
- Video - Gradient from Rise and Run (4:48)
Intercepts
- Video - Straight Line Equations with Intercepts & Points (5:47)
- Video - Graphing Linear Equations using Intercepts (3:25)
- Video - Sketching Straight Lines using Intercepts (6:03)
- Topic - x-intercepts of Straight Lines in Standard Form
- Topic - y-intercepts of Straight Lines in Standard Form
- Topic - x-intercepts of Straight Lines in General Form
- Topic - y-intercepts of Straight Lines in General Form
- Topic - Gradients using x- and y-intercepts
Parallel Lines
- Video - Parallel Lines (4:16)
- Video - Identifying Parallel Lines (4:49)
- Video - Application of Parallel Lines (4:50)
- Video - Parallel Lines involving Similar Figures (9:46)
- Video - Equations of Parallel Lines Passing Through Points (4:27)
- Video - Equations of Parallel Lines in General Form Passing Through Points (4:25)
- Video - Equations of Parallel Lines in General form Passing through Midpoints (4:06)
- Video - Equations of Parallel Lines with Angles Passing Through Points (2:51)
- Video - Proof of Parallel Lines (2:58)
- Topic - Matching Parallel Lines
Finding Equations of Lines
- Video - Introduction of Gradients & y-Intercepts (4:39)
- Video - Equation of Straight Lines involving Gradient & y-intercept (1:09)
- Video - Equations of Straight Lines using Gradients & Passing Points (7:57)
- Video - Point-Gradient Formula (3:09)
- Video - Linear Equations using Two Point Formula (2:55)
- Video - Two-Point Formula (6:17)
- Video - Equations of Straight Lines using Gradients & y-Intercepts (2:16)
- Video - Equation of Straight Lines involving Gradient & Origin (0:43)
- Video - Equation of Straight Lines involving Gradient & Points (1:57)
- Video - Intercept Form of Straight Lines (2:41)
- Video - Equations of Straight Lines using Gradients & Points (2:05)
- Video - Equations of Straight Lines using Gradients & Midpoints (1:30)
General Form of a Line
- Video - General Form & Gradient-Intercept Form of Straight Lines (6:35)
- Video - General Form of Straight Lines (3:28)
- Video - Equations of Straight Lines using Gradients & Points in General Form (3:05)
- Video - Gradient-Intercept Form (1:42)
- Video - Sketching Straight Lines using Intercepts in General Form (3:22)
Finding a Linear Equation from a Graph
- Video - Finding Equation of Lines (4:49)
- Video - Finding Linear Equations from Straight Line Graphs Passing Origin (3:22)
- Video - Finding Linear Equations from Straight Line Graphs (3:14)
- Video - Finding Linear Equations from Graphs (6:10)
- Video - Finding Linear Equations from Graphs Passing Origin (2:40)
- Video - Finding Linear Equations from Horizontal & Vertical Lines (1:31)
- Video - Equations of Straight Lines using Two Points (4:20)
Sketching Linear Graphs
- Video - Graphing Linear Equations using Gradients 1 (3:24)
- Video - Graphing Linear Equations using Gradients 2 (3:36)
- Video - Sketching Straight Lines using Gradients (4:26)
- Video - Straight Line Graphs in Positive Gradient Passing Origin (4:02)
- Video - Straight Line Graphs in Negative Gradient Passing Origin (3:02)
- Video - Straight Line Graphs in General Form Passing Origin (3:14)
- Video - Straight line Graphs in Positive Gradient by x- and y-intercepts (4:07)
- Video - Straight line Graphs in Negative Gradient by x- and y-intercepts (2:47)
- Video - Straight line Graphs in General Form by x- and y-intercepts (1:58)
Distance from a Point to a Line: Perpendicular Distance Formula
- Video - Perpendicular Distance from a Point to a Straight Line (8:27)
- Video - Perpendicular Distance from Points to Straight Lines Passing Two Points (4:29)
- Video - Perpendicular Distance from a Point to a Parallel Line (4:15)
- Video - Finding Unknowns using Perpendicular Distance Formula (3:34)
- Video - Perpendicular Distance between Two Parallel Lines (3:24)
- Video - Perpendicular Distance involving Trapezium (10:03)
- Video - Number of Intersection of Circles & Lines by Perpendicular Distance (7:58)
- Video - Finding Circles given Equation of Tangents (1:54)
- Video - Shortest Distance between a Straight Line and a Circle (2:55)
Proof of Similar Triangles
- Video - Proofs of Similar Inscribed Triangles (8:10)
- Video - Proofs of Similar Triangles using Parallel Lines (4:28)
- Video - Proving Trapeziums by Proofs of Similar Triangles using Ratios (7:06)
- Video - Proofs of Similar Triangles using Ratios & Vertically Opposite Angles (3:33)
- Video - Proofs of Similar Triangles using Midpoints & Parallel Lines (11:17)
- Video - Proofs of Similar Triangles using Ratios & Angles (4:25)
Angles in Centre and Circumference
- Video - Centre Angle is Twice of Circumference Angle (5:12)
- Video - Quadrilateral Inscribed in Circle with Circumference Angle (1:28)
- Video - Angles in Quadrilateral with Circles & Circumference (1:55)
- Video - Angles in Circumference with Angle Sum of Triangle (2:52)
- Video - Angles in Triangles with Centre & Circumference Angles (2:42)
- Video - Centre & Circumference Angles with Equal Radii (2:02)
- Video - Angles at Circumference (3:28)
Angles in Same Segment
- Video - Same Chords Corresponding Arcs (5:10)
- Video - Parallel Lines Given Arcs & Chords (5:43)
- Video - Same Line Segments using Similarity (4:03)
- Video - Same Angles Given Equal Lengths of Arcs (2:44)
- Video - Same Angles Given Right Angles in Two Circles (4:28)
- Video - Same Line Segments Given Equal Arcs (4:02)
- Video - Angles in Same Segment & Angle Sum of a Triangle (4:51)
- Video - Angles in Same Segment & Alternate Angles (4:09)
- Video - Angles in Same Segment & Angles in Isosceles Triangles (5:06)
- Video - Angles in Same Segment & Exterior Angles in Triangles (1:40)
- Video - Angles in Same Segment & Vertically Opposite Angles (2:48)
- Video - Angles on Same Arc (5:04)
- Video - Angles Subtended from Same Arcs (4:07)
Angles in Semi Circle
- Video - Angles in Semicircle & Equal Radii (2:51)
- Video - Angles in Semicircle & Pythagoras Theorem (1:30)
- Video - Angles in Semicircle & Collinear (2:42)
- Video - Angles in Semicircle & Angles in Same Segments (2:59)
- Video - Angles in Semicircle & Isosceles Triangles (2:23)
- Video - Angles in Alternate Segment & Angles in SemiCircles (3:26)
Cyclic Quadrilateral and Angles in a Circle
- Video - Opposite Angles of Cyclic Quadrilateral (3:02)
- Video - Opposite Angles of Cyclic Quadrilateral & Angles (2:28)
- Video - Cyclic Quadrilateral and Parallel Lines (2:03)
- Video - Angle Sum of Cyclic Quadrilateral (2:31)
- Video - Exterior Angles in Cyclic Quadrilateral (2:23)
- Video - Exterior Angles in Cyclic Quadrilateral & Parallel Lines (1:26)
- Video - Exterior Angles in Cyclic Quadrilateral & Angles in Same Segments (4:36)
- Video - Exterior Angles in Cyclic Quadrilateral of Two Circles (2:38)
- Video - Exterior Angles in Cyclic Quadrilateral & Isosceles Triangles (2:27)
Alternate Segment
- Video - Alternate Segment & Angle at Circumference (2:20)
- Video - Alternate Segment & Alternate Angle (1:34)
- Video - Alternate Segment & Parallel Lines (3:11)
- Video - Alternate Segment & Angle Sum of a Triangle (3:42)
- Video - Two Angles in Alternate Segments (3:08)
- Video - Alternate Segment & an Exterior Angle of a Triangle (4:15)
- Video - Alternate Segment & Isosceles Triangles (3:22)
- Video - Angles in Alternate Segment & Angles in Same Segment (3:42)
- Video - Cyclic Quadrilateral & Alternate Segment (2:09)
Chords and Tangents in Circles
- Video - Tangent to a Circle (2:47)
- Video - Radius Drawn to Point of Contact of Tangent (2:22)
- Video - Radius Drawn to Point of Contact (2:59)
- Video - Tangent to Two Circles involving Pythagoras Theorem (2:34)
- Video - Tangent to a Circle involving Angle in a Semicircle (4:14)
- Video - Tangent to a Circle involving Angle between Radius & Tangent (1:57)
- Video - Angle between Radius & Tangent (2:26)
- Video - Tangent to a Circle involving Angle Sum of a Triangle (1:58)
Intersecting Tangents
- Video - Two Tangents to a Circle (4:35)
- Video - Tangents from External Point involving Angles (1:51)
- Video - Tangents from External Point involving Side Lengths (2:13)
- Video - Inscribed Quadrilateral involving Tangents (3:39)
- Video - Three Tangents in Two Circles (6:07)
- Video - Tangents from External Point involving Cyclic Quadrilateral (7:11)
- Video - Tangents Drawn from External Points involving Collinear (5:27)
Radius Meets a Chord at Right Angle
- Video - Radii & Chords in Circles (2:02)
- Video - Chords Given Radius & Centre (1:05)
- Video - Chords & Concentric Circles (1:23)
- Video - Distance Between Parallel Chords in Circles (2:08)
- Video - Equidistant From Centres (3:53)
- Video - Same Lengths of Chords in Circles (1:34)
- Video - Bisect Angles Between Chords in Circles (2:41)
- Video - Distance Between Centres in Two Circles (1:53)
- Video - Distance Between Centres in Three Circles (3:49)
Cyclic Quadrilateral and Lines in a Circle
- Video - Alternate Segment & Cyclic Quadrilateral (2:42)
- Video - Cyclic Quadrilateral & Diameters (7:33)
- Video - Proofs using Multiple Cyclic Quadrilaterals (11:08)
- Video - Angles involving Cyclic Quadrilateral & Parallel Lines (7:50)
- Video - Cyclic Quadrilateral & Angles at Circumference (6:36)
- Video - Angles involving Cyclic Quadrilateral & Alternate Segment (4:30)
- Video - Cyclic Quadrilateral & Angles at SemiCircles (4:23)
- Video - Cyclic Quadrilateral & Collinear (2:56)
- Video - Exterior Angles of Cyclic Quadrilateral (1:34)
Length Conversions
- Video - Metric Units of Length (4:22)
- Video - Converting Length Units 1 (1:25)
- Video - Converting Length Units 2 (2:47)
- Video - Converting Lengths by the Nearest Units (5:57)
- Video - Converting Lengths by Scientific Notation (4:47)
- Video - Converting Lengths by Significant Figures (3:13)
- Topic - Prefixes of Measurement
- Topic - Length Conversions
- Topic - Converting from mm to cm
- Topic - Converting from mm to m
- Topic - Converting from cm to mm
- Topic - Converting from cm to m
- Topic - Converting from m to cm
- Topic - Converting from m to km
- Topic - Converting from km to cm
- Topic - Converting from km to m
- Topic - Millimetres to Metres
- Topic – Metres to Millimetres
- Topic - Converting from km to mm
- Topic - Converting from mm to km
- Topic - Converting from cm to km
Evaluation by Converting Lengths
- Video - Converting and Simplifying Lengths to Metres (3:17)
- Video - Converting and Simplifying Lengths to Kilo-Metres (1:22)
- Video - Converting and Simplifying Lengths to Centi-Metres (2:06)
- Video - Converting and Simplifying Lengths to Milli-Metres (1:04)
- Topic - Addition of Different Length Units to km
- Topic - Addition of Different Length Units to m
- Topic - Addition of Different Length Units to cm
- Topic - Addition of Different Length Units to mm
- Topic - Subtraction of Different Length Units to km
- Topic - Subtraction of Different Length Units to m
- Topic - Subtraction of Different Length Units to cm
- Topic - Subtraction of Different Length Units to mm
Equations by Converting Lengths
- Topic - Solving Equations involving Different Length Units km 1
- Topic - Solving Equations involving Different Length Units km 2
- Topic - Solving Equations involving Different Length Units m 1
- Topic - Solving Equations involving Different Length Units m 2
- Topic - Solving Equations involving Different Length Units cm 1
- Topic - Solving Equations involving Different Length Units cm 2
- Topic - Solving Equations involving Different Length Units mm 1
- Topic - Solving Equations involving Different Length Units mm 2
Capacity Units
- Video - Conversion Capacities to Milli-Litres (3:05)
- Video - Conversion Capacities to Centi-Litres (3:20)
- Video - Conversion Capacities to Litres (4:11)
- Video - Conversion Capacities to Kilo-Litres (4:47)
- Video - Conversion Capacities to Mega-Litres (5:31)
- Topic - Conversion between L & mL
- Topic - Conversion between kL & cL
- Topic - Conversion between kL & L
- Topic - Conversion between L & cL
- Topic - Conversion between ML & L
- Topic - Conversion between kL & ML
- Topic - Conversion between ML & mL
- Topic - Conversion between mL & kL
- Topic - Conversion between cL & mL
- Topic - Conversion between ML & cL
- Topic - Rules of Capacity Conversion
- Topic - Convert to mL
- Topic - Convert to cL
- Topic - Convert to L
- Topic - Convert to kL
- Topic - Convert to ML