Grade 10 Mathematics: notes, video lessons and quizzes
179 Grade 10 Mathematics lessons for the CBE curriculum, organised by strand and sub-strand like your textbook. Each lesson has a short video by a Kenyan teacher, notes to revise from and a quick quiz.
Strand 1: Numbers and Algebra31 lessons
Real Numbers
- Classification of Whole Numbers
- Rational Numbers and Decimal Representations
- Irrational Numbers & the Real Numbers
- Determining Reciprocals by Division
- Reading Reciprocals from Mathematical Tables
- Evaluating Reciprocals Using Digital Devices
- Computations with Reciprocals
- Real Numbers & Reciprocals
Indices and Logarithms
- Introduction to Indices and Index Notation
- Laws of Indices
- Zero, Negative and Fractional Indices
- Indicial Equations and Applications
- Introduction to Logarithms and Base 10 Notation
- Reading Common Logarithms
- Computation Using Logarithms
- Powers, Roots and Applications
Quadratic Expressions and Equations
- Introduction to Quadratic Expressions
- Forming Quadratic Expressions
- Deriving the Quadratic Identity (a + b)²
- Deriving the Quadratic Identity (a b)²
- Deriving the Difference of Two Squares Identity
- Numerical Applications of Quadratic Identities
- Factorisation Common Factors and Grouping
- Factorising Special Quadratic Forms
- Factorising Quadratic Trinomials a = 1
- Factorising Quadratic Trinomials a ≠ 1
- Formation of Quadratic Equations
- Solving Quadratic Equations by Factorisation a = 1
- Solving Quadratic Equations by Factorisation a ≠ 1
- Real Life Applications of Quadratic Equations
- Review, Problem Solving and Synthesis
Strand 2: Measurement and Geometry121 lessons
Similarity and Enlargement
- Similar Figures and Similarity
- Similarity in Triangles and Scale Factors
- Geometric Enlargement
- Constructing Enlargements with Positive Scale Factors on a Plane Surface
- Enlargements with Negative Scale Factors
- Determining the Centre of Enlargement and Linear Scale Factor
- Enlargement on the Cartesian Plane
- Centres and Scale Factors on the Grid
- Area Scale Factor & Linear Relationships
- Volume Scale Factor and Similar Solids
- Practical Project Modelling Similar Solids
- Similarity and Enlargement
Reflection and Congruence
- Introduction to Geometric Reflection
- Properties of Reflection and Line of Symmetry
- Reflections in the Cartesian Plane
- Reflections in Standard Lines y = x and y = x
- Reflections in Arbitrary Lines x = k and y = c
- Finding the Equation of the Mirror Line
- Successive Reflections
- Concept of Congruence in Plane Figures
- Triangle Congruence Criteria SSS and SAS
- Triangle Congruence Criteria
- Applications of Congruence and Reflection
- Comprehensive Review and Problem Solving Workshop
Rotation
- Introduction to Rotation and its Properties
- Rotation on Plain Paper Using Geometrical Instruments
- Rotation on the Cartesian Plane about the Origin
- Rotation about an Arbitrary Centre
- Determining the Centre of Rotation
- Determining the Angle and Sense of Rotation
- Rotational Symmetry and Order of Symmetry in Plane Figures
- Rotational Symmetry in Three Dimensional Solids
- Rotation and Isometries
- Rotational Transformations
Trigonometry I
- Right Angled Triangles and Ratios
- Determining Trigonometric Ratios
- Reading Trigonometric Ratios Using Mathematical Tables
- Determining Trigonometric Ratios Using Scientific Calculators
- Inverse Trigonometric Ratios
- Calculating Unknown Sides
- Trigonometric Ratios of Complementary Angles
- Sine, Cosine, and Tangent
- Trigonometric Ratios of Special Angles 45 Degrees
- Ratios of 30° and 60°
- Constructing and Calibrating a Clinometer
- Angles of Elevation
- Angles of Depression
- Combined Contextual Problems in Elevation and Depression
- Review and Assessment Trigonometry I
Area of Polygons
- Area of Triangles Using Sine
- Area Using the Sine Formula
- Derivation and Foundations of Heron's Formula
- Applying Heron's Formula
- Area of Parallelograms and Rhombuses
- Area of Trapezia and Kites
- Area of General and Cyclic Quadrilaterals
- Properties of Regular Polygons
- Area of Regular Pentagons and Hexagons
- Area of Regular Heptagons and Octagons
- Area of Regular Nonagons and Decagons
- Surveyor's Baseline Method
- Area Computation of Irregular Land Parcels
- Area of Complex Irregular Polygons
- Integrated Applications and Problem Solving
Area of a Part of a Circle
- Parts of a Circle and Circular Regions
- Area of an Annulus
- Practical Applications of the Annulus
- Area of a Sector of a Circle
- Sector Area in Practical Contexts
- Area of an Annular Sector
- Applied Projects with Annular Sectors
- Area of a Segment of a Circle
- Major Segments and Composite Regions
- Intersecting Circles
- Complex Real Life Applications of Overlapping Regions
- Circular Areas Review
Surface Area and Volume of Solids
- Introduction to Surface Area and Prisms
- Surface Area of Pyramids
- Surface Area of Right Circular Cones
- Surface Area of Frustums
- Surface Area of Spheres and Hemispheres
- Surface Area of Composite Solids
- Volume of Prisms and Cylinders
- Volume of Pyramids
- Volume of Right Circular Cones
- Volume of Frustums
- Volume of Spheres and Hemispheres
- Volume of Composite Solids
- Scaling Surface Area and Volume
- Real Life Applications and Capacity Problems
- Review, Problem Solving, and Assessment
Vectors
- Introduction to Vector and Scalar Quantities
- Vector Notation and Geometric Representation
- Equivalent and Parallel Vectors
- Vector Addition and Triangle Law
- The Parallelogram Law of Vector Addition
- Multiplication of a Vector by a Scalar
- Vector Subtraction and Polygon Law of Vectors
- Introduction to Column Vectors
- Algebraic Operations on Column Vectors
- Position and Displacement Vectors
- Magnitude of a Vector
- Unit Vectors and Direction
- Midpoint of a Vector and Line Segment
- Translation Vector as a Transformation
- Review & Applications of Vectors I
Linear Motion
- Linear Motion
- Speed and Velocity
- Concept of Acceleration and Deceleration
- Practical Field Activity
- Constructing Displacement–Time Graphs
- Interpreting Displacement–Time Graphs
- Constructing Velocity–Time Graphs
- Interpreting Velocity–Time Graphs
- Distance and Displacement on Velocity–Time Graphs
- Velocity–Time Graphs Advanced Applications
- Relative Motion Bodies in Opposite Directions
- Relative Speed
- Advanced Relative Speed
- Comprehensive Problem Solving in Linear Motion
- Linear Motion Review
Strand 3: Statistics and Probability27 lessons
Statistics I
- Introduction to Statistics and Data Collection
- Sampling Techniques and Questionnaire Design
- Organisation and Tabulation of Ungrouped Data
- Grouped Frequency Tables
- Graphical Representation Bar Charts and Pie Charts
- Histograms and Frequency Polygons
- Measures of Central Tendency
- Mean of Grouped Data
- Median and Mode of Grouped Data
- Cumulative Frequency and the Ogive
- Quartiles, Deciles and the Interquartile Range
- Measures of Dispersion
- Variance and Standard Deviation
- Variance and Standard Deviation for Grouped Data
- Statistical Interpretation, Synthesis and Review
Probability I
- Introduction to Probability
- Experimental Probability
- Theoretical Probability of Simple Events
- Sample Space and Probability Spaces
- Mutually Exclusive Events and the Addition Law
- Complementary Events and Exhaustive Sets
- Independent Events and the Multiplication Law
- Introduction to Probability Tree Diagrams
- Solving Complex Problems with Tree Diagrams
- Dependent Events and Non Replacement
- Games of Chance, Expected Frequency, and Fairness
- Real World Applications, Review, and Assessment
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