Appendix A Syllabus Alignment

This section shows how the content of this book aligns with the Kenyan Grade 10 competency-based mathematics curriculum. Use the links to navigate to the relevant sections.

🔗

1.0 Numbers and Algebra.

Table A.0.1. Syllabus Alignment: 1.0 Numbers and Algebra

🔗

Substrand	Coverage in Textbook
1.1 Real Numbers	§1.1.1.1 Even and Odd Numbers §1.1.1.2 Prime and Composite Numbers §1.1.1.3 Rational and Irrational Numbers §1.1.2.1 Reciprocals using Division §1.1.2.2 Reciprocals Using Tables and Calculators §1.1.2.3 Using Reciprocals
1.2 Indices and Logarithms	§1.2.1.1 Introduction to Indices §1.2.1.2 Laws of Indices §1.2.1.3 Zero and Negative Indices §1.2.1.4 Indices in Real-Life §1.2.2.1 Introduction to Logarithms §1.2.2.2 Finding Logarithms Using Tables and Calculators §1.2.2.3 Antilogarithms §1.2.2.4 Logarithms of Products and Ratios §1.2.2.5 Using Logarithms to Compute Products and Ratios §1.2.2.6 Logarithms of Powers and Roots §1.2.2.7 Logarithms in Real-Life
1.3 Quadratic Expressions and Equations	§1.3.1.1 Forming Quadratic Expressions by Multiplying 1 §1.3.1.2 Forming Quadratic Expressions by Multiplying 2 §1.3.1.3 Forming Quadratic Expressions in Real-Life §1.3.2.1 Perfect Squares §1.3.2.2 Difference of Squares §1.3.2.3 Quadratic Identities in Numerical Cases §1.3.3.1 Factorising Monic Quadratics §1.3.3.2 Factorising Non-Monic Quadratics §1.3.4.1 Formation of Quadratic Equations §1.3.4.2 Solving Quadratic Equations §1.3.4.3 Quadratic Equations in Real-Life

🔗

2.0 Measurements and Geometry.

Table A.0.2. Syllabus Alignment: 2.0 Measurements and Geometry

🔗

Substrand	Coverage in Textbook
2.1 Similarity and Enlargement	§2.1.1 Introduction to Similarity §2.1.2.1 Positive Enlargements §2.1.2.2 Negative Enlargements §2.1.3.1 Area Scale Factors §2.1.3.2 Volume Scale Factors §2.1.4 Similarity and Enlargement in Real-Life
2.2 Reflection and Congruence	§2.2.1 Properties of Symmetry and Reflection §2.2.2 Reflecting Objects §2.2.3 Equations of Mirror Lines §2.2.4 Congruence in Triangles §2.2.5 Reflection and Congruence in Real-Life
2.3 Rotation	§2.3.1 Properties of Rotation §2.3.2 Centre and Angle of Rotation §2.3.3 Rotating Objects §2.3.4.1 Rotational Symmetry of Plane Figures §2.3.4.2 Rotational Symmetry of Solids §2.3.5 Rotation and Congruence §2.3.6 Rotation in Real Life
2.4 Trigonometry 1	§2.4.1 Tangents of Acute Angles §2.4.2 Sines and Cosines of Acute Angles §2.4.3.1 Special Angles: 0, 45, and 90 Degrees §2.4.3.2 Special Angles: 30 and 60 Degrees §2.4.4 Trigonometry Using Tables and Calculators §2.4.5 Sines and Cosines of Complementary Angles §2.4.6.1 Angles of Elevation §2.4.6.2 Angles of Depression §2.4.7 Trigonometry in Real-Life
2.5 Area of Polygons	§2.5.1.1 Using Two Sides and an Angle §2.5.1.2 Heron’s Formula §2.5.2.1 Area of Squares and Rectangles §2.5.2.2 Area of Parallelograms §2.5.2.3 Area of Rhombuses §2.5.2.4 Area of Trapeziums §2.5.2.5 Area of Kites §2.5.3.1 Area of Heptagons §2.5.3.2 Area of Octagons §2.5.4 Area of Irregular Polygons §2.5.5 Area of Polygons in Real-Life
2.6 Area of a Part of a Circle	§2.6.1 Area of an Annulus §2.6.2 Area of Sectors §2.6.3 Area of Annular Sectors §2.6.4 Area of Segments §2.6.5 Area of Common Regions Between Circles §2.6.6 Area of a Part of a Circle in Real-Life
2.7 Surface Area	§2.7.1 () Surface Area of Cubes and Cuboids §2.7.2 Surface Area of Prisms §2.7.3 () Surface Area of Cylinders §2.7.4 Surface Area of Pyramids §2.7.5 Surface Area of Cones §2.7.6 Surface Area of Frustums §2.7.7 Surface Area of Spheres §2.7.8 Surface Area of Composite Solids §2.7.9 Surface Area in Real-Life
2.8 Volume	§2.8.1 () Volume of Cubes and Cuboids §2.8.2 Volume of Prisms §2.8.3 () Volume of Cylinders §2.8.4 Volume of Pyramids §2.8.5 Volume of Cones §2.8.6 Volume of Frustums §2.8.7 Volume of Spheres §2.8.8 Volume of Composite Solids §2.8.9 Volume in Real Life
2.9 Vectors 1	§2.9.1 Vector and Scalar Quantities §2.9.2.1 Representing Vectors Geometrically §2.9.2.1 Column Vectors §2.9.2.2 Position Vectors §2.9.3 Magnitudes of Vectors §2.9.4 Midpoints of Vectors §2.9.5.1 Adding Vectors §2.9.5.1 Multiplying Vectors by Scalars §2.9.5.2 Translating Vectors §2.9.5.3 Equivalent Vectors §2.9.6 Vectors in Real-Life
2.10 Linear Motion	§2.10.1 Distance and Displacement §2.10.2 Speed and Velocity §2.10.3.1 Relative Speeds of Objects Moving in the Same Direction §2.10.3.2 Relative Speeds of Objects Moving in Different Directions §2.10.4 Acceleration §2.10.5 Displacement-Time Graphs §2.10.6 Velocity-Time Graphs §2.10.7 Linear Motion in Real-Life

🔗

3.0 Statistics and Probability.

Table A.0.3. Syllabus Alignment: 3.0 Statistics and Probability

🔗

Substrand	Coverage in Textbook
3.1 Statistics 1	§3.1.1.1 Sources of Data §3.1.1.2 Methods of Data Collection §3.1.2.1 Frequency Distribution Tables §3.1.2.2 Mean §3.1.2.3 Median §3.1.2.4 Mode §3.1.3.1 Frequency Distribution Tables (Grouped) §3.1.3.2 Mean (Grouped) §3.1.3.3 Median (Grouped) §3.1.3.4 Mode (Grouped) §3.1.4 Histograms and Frequency Polygons §3.1.5 Interpretation of data §3.1.6 Statistics in Real Life
3.2 Probability 1	§3.2.1 Introduction to Probability §3.2.2 Probability Spaces §3.2.3 Mutually Exclusive Events §3.2.4 Independent Events §3.2.5.1 Addition Rule §3.2.5.2 Multiplication Rule §3.2.6 Probability Using Tree Diagrams

🔗

Prev Top Next