Appendix B Learning Outcomes Coverage Table
For each strand and sub-strand in the 2025 Core Mathematics CBE Curriculum, this table maps each specific learning outcome to the section(s) of the textbook where it is covered. Section numbers are clickable links.
1.0 Numbers and Algebra.
1.1 Real Numbers
| Outcome | Coverage in Textbook |
|---|---|
| (a) Classify whole numbers as odd, even, prime and composite in different situations | \(§\)1.1.1.1, \(§\)1.1.1.2 |
| (b) Classify real numbers as rational and irrational in different situations | \(§\)1.1.1.3 |
| (c) Determine the reciprocal of real numbers by division | \(§\)1.1.2.1 |
| (d) Determine the reciprocal of real numbers by use of mathematical tables and calculators | \(§\)1.1.2.2 |
| (e) Apply reciprocal of real numbers in mathematical computations | \(§\)1.1.2.3 |
| (f) Promote the use of real numbers in day-to-day activities | \(§\)1.1.2.3 |
1.2 Indices and Logarithms
| Outcome | Coverage in Textbook |
|---|---|
| (a) Express numbers in index form | \(§\)1.2.1.1 |
| (b) Derive the laws of indices using factors | \(§\)1.2.1.2, \(§\)1.2.1.3 |
| (c) Apply the laws of indices in different situations | \(§\)1.2.1.4 |
| (d) Relate index notation to logarithm notation to base 10 | \(§\)1.2.2.1 |
| (e) Determine common logarithms of numbers from mathematical tables and calculators | \(§\)1.2.2.2, \(§\)1.2.2.3 |
| (f) Apply common logarithms in multiplication, division, powers and roots of numbers | \(§\)1.2.2.4, \(§\)1.2.2.5, \(§\)1.2.2.6 |
| (g) Appreciate the use of indices and common logarithms in mathematical computations | \(§\)1.2.2.7 |
1.3 Quadratic Expressions and Equations
| Outcome | Coverage in Textbook |
|---|---|
| (a) Form quadratic expressions from different situations | \(§\)1.3.1.1, \(§\)1.3.1.2, \(§\)1.3.1.3 |
| (b) Derive the quadratic identities from the concept of area | \(§\)1.3.2.1, \(§\)1.3.2.2 |
| (c) Apply quadratic identities in numerical cases | \(§\)1.3.2.3 |
| (d) Factorise quadratic expressions from different situations | \(§\)1.3.3.1, \(§\)1.3.3.2 |
| (e) Form quadratic equations in different situations | \(§\)1.3.4.1 |
| (f) Solve quadratic equations by factorisation | \(§\)1.3.4.2 |
| (g) Apply quadratic equations to real life situations | \(§\)1.3.4.3 |
| (h) Explore the use of quadratic equations in real life situations | \(§\)1.3.4.3 |
2.0 Measurements and Geometry.
2.1 Similarity and Enlargement
| Outcome | Coverage in Textbook |
|---|---|
| (a) Determine the centre of enlargement and the linear scale factor for similar figures | \(§\)2.1.1 |
| (b) Construct the image of an object under an enlargement given the centre and the linear scale factor | \(§\)2.1.2.1, \(§\)2.1.2.2 |
| (c) Determine the area and volume scale factor of different figures and solids | \(§\)2.1.3.1, \(§\)2.1.3.2 |
| (d) Relate linear scale factor, area scale factor, and volume scale factor in enlargements | \(§\)2.1.3.1, \(§\)2.1.3.2 |
| (e) Apply similarity and enlargement to real-life situations | \(§\)2.1.1, \(§\)2.1.2.1, \(§\)2.1.2.2, \(§\)2.1.3.1, \(§\)2.1.3.2, \(§\)2.1.4 |
| (f) Appreciate the use of similarity and enlargement in real-life situations | \(§\)2.1.1, \(§\)2.1.2.1, \(§\)2.1.2.2, \(§\)2.1.3.1, \(§\)2.1.3.2, \(§\)2.1.4 |
2.2 Reflection and Congruence
| Outcome | Coverage in Textbook |
|---|---|
| (a) Identify lines of symmetry in plane figures | \(§\)2.2.1 |
| (b) Determine the properties of reflection in different situations | \(§\)2.2.1 |
| (c) Draw an image given an object and a mirror line on plane surface and Cartesian plane | \(§\)2.2.2 |
| (d) Determine the equation of the mirror line given an object and its image | \(§\)2.2.3 |
| (e) Carry out congruence tests for triangles | \(§\)2.2.4 |
| (f) Promote use of reflection and congruence in real-life situations | \(§\)2.2.5 |
2.3 Rotation
| Outcome | Coverage in Textbook |
|---|---|
| (a) Determine the properties of rotation in different situations | \(§\)2.3.1 |
| (b) Rotate an object given the centre and angle of rotation on a plane surface and the Cartesian plane | \(§\)2.3.3 |
| (c) Determine the centre and angle of rotation given an object and its image | \(§\)2.3.2, \(§\)2.3.3 |
| (d) Determine the order of rotational symmetry of plane figures | \(§\)2.3.4.1 |
| (e) Determine the axis and order of rotational symmetry in solids | \(§\)2.3.4.2 |
| (f) Deduce congruence from rotation | \(§\)2.3.5 |
| (g) Appreciate the application of rotation in real-life situations | \(§\)2.3.1, \(§\)2.3.4.1, \(§\)2.3.4.2, \(§\)2.3.5, \(§\)2.3.6 |
2.4 Trigonometry 1
| Outcome | Coverage in Textbook |
|---|---|
| (a) Determine the trigonometric ratios of acute angles from mathematical tables and calculators | \(§\)2.4.4 |
| (b) Relate sines and cosines of complementary angles | \(§\)2.4.5 |
| (c) Relate the sine, cosine and tangent of acute angles | \(§\)2.4.1, \(§\)2.4.2 |
| (d) Determine trigonometric ratios of special angles: 30, 45, 60, and 90 degrees using triangles | \(§\)2.4.3.1, \(§\)2.4.3.2 |
| (e) Apply trigonometric ratios to angles of elevation and depression | \(§\)2.4.6.1, \(§\)2.4.6.2 |
| (f) Reflect on the use of trigonometry in real-life situations | \(§\)2.4.7 |
2.5 Area of Polygons
| Outcome | Coverage in Textbook |
|---|---|
| (a) Derive the formula for the area of a triangle given two sides and an included angle | \(§\)2.5.1.1 |
| (b) Work out the area of a triangle given two sides and an included angle | \(§\)2.5.1.1 |
| (c) Determine the area of a triangle using Heron’s formula | \(§\)2.5.1.2 |
| (d) Determine the area of quadrilaterals in different situations | \(§\)2.5.2.1, \(§\)2.5.2.2, \(§\)2.5.2.3, \(§\)2.5.2.4, \(§\)2.5.2.5 |
| (e) Work out the area of regular heptagon and octagon | \(§\)2.5.3.1, \(§\)2.5.3.2 |
| (f) Determine the area of irregular polygons in different situations | \(§\)2.5.4 |
| (g) Explore the area of polygons as used in real-life situations | \(§\)2.5.2.1, \(§\)2.5.2.2, \(§\)2.5.2.3, \(§\)2.5.2.4, \(§\)2.5.2.5, \(§\)2.5.3.1, \(§\)2.5.3.2, \(§\)2.5.4, \(§\)2.5.5 |
2.6 Area of a Part of a Circle
| Outcome | Coverage in Textbook |
|---|---|
| (a) Determine the area of an annulus in different situations | \(§\)2.6.1 |
| (b) Work out the area of a sector of a circle in real-life situations | \(§\)2.6.2 |
| (c) Determine the area of an annular sector in different situations | \(§\)2.6.3 |
| (d) Work out the area of a segment of a circle | \(§\)2.6.4 |
| (e) Determine the area of common region between two intersecting circles | \(§\)2.6.5 |
| (f) Apply the area of a part of a circle in real-life situations | \(§\)2.6.1, \(§\)2.6.2, \(§\)2.6.3, \(§\)2.6.4, \(§\)2.6.5, \(§\)2.6.6 |
| (g) Explore the use of the area of a part of a circle in real-life situations | \(§\)2.6.1, \(§\)2.6.2, \(§\)2.6.3, \(§\)2.6.4, \(§\)2.6.5, \(§\)2.6.6 |
2.7 Surface Area and Volume of Solids
| Outcome | Coverage in Textbook |
|---|---|
| (a) Determine the surface area of prisms, pyramids, cones, frustums and spheres | \(§\)2.7.2, \(§\)2.7.3, \(§\)2.7.4, \(§\)2.7.5, \(§\)2.7.6, \(§\)2.7.7 |
| (b) Calculate the surface area of composite solids | \(§\)2.7.8 |
| (c) Calculate the volume of prisms, pyramids, cones, frustums and spheres | \(§\)2.8.2, \(§\)2.8.4, \(§\)2.8.5, \(§\)2.8.6, \(§\)2.8.7 |
| (d) Determine the volume of composite solids | \(§\)2.8.8 |
| (e) Explore the use of the surface area and volume of solids in real-life situations | \(§\)2.7.2, \(§\)2.7.3, \(§\)2.7.4, \(§\)2.7.5, \(§\)2.7.6, \(§\)2.7.7, \(§\)2.7.8, \(§\)2.7.9, \(§\)2.8.2, \(§\)2.8.4, \(§\)2.8.5, \(§\)2.8.6, \(§\)2.8.7, \(§\)2.8.8, \(§\)2.8.9 |
2.8 Vectors 1
| Outcome | Coverage in Textbook |
|---|---|
| (a) Explain vector and scalar quantities with illustrations | \(§\)2.9.1 |
| (b) Use vector notations in different ways | \(§\)2.9.1 |
| (c) Represent vectors geometrically in different situations | \(§\)2.9.2.1 |
| (d) Identify equivalent vectors in different situations | \(§\)2.9.5.3 |
| (e) Add vectors in different situations | \(§\)2.9.5.1 |
| (f) Multiply vectors by scalars | \(§\)2.9.5.1 |
| (g) Determine column vectors in different situations | \(§\)2.9.2.1, \(§\)2.9.2.2 |
| (h) Determine position vectors in different situations | \(§\)2.9.2.1, \(§\)2.9.2.2 |
| (i) Work out magnitude of a vector in different situations | \(§\)2.9.3 |
| (j) Determine the midpoint of a vector in different situations | \(§\)2.9.4 |
| (k) Determine translation vector as a transformation | \(§\)2.9.5.2 |
| (l) Appreciate the use of vectors in real-life situations | \(§\)2.9.6 |
2.9 Linear Motion
| Outcome | Coverage in Textbook |
|---|---|
| (a) Explain the terms distance, displacement, speed, velocity and acceleration in real-life situations | \(§\)2.10.1, \(§\)2.10.2, \(§\)2.10.4 |
| (b) Determine velocity and acceleration in different situations | \(§\)2.10.2, \(§\)2.10.4 |
| (c) Draw a displacement-time graph of different situations | \(§\)2.10.5 |
| (d) Interpret displacement-time graph in different situations | \(§\)2.10.5 |
| (e) Draw a velocity-time graph from given tables in different situations | \(§\)2.10.6 |
| (f) Interpret velocity-time graph in different situations | \(§\)2.10.6 |
| (g) Determine relative speed of two moving bodies in different situations | \(§\)2.10.3.1, \(§\)2.10.3.2 |
| (h) Appreciate use of linear motion in real-life situations | \(§\)2.10.7 |
3.0 Statistics and Probability.
3.1 Statistics 1
| Outcome | Coverage in Textbook |
|---|---|
| (a) Collect data from real-life sources | \(§\)3.1.1.1, \(§\)3.1.1.2, \(§\)3.1.6 |
| (b) Draw a frequency distribution table for grouped and ungrouped data | \(§\)3.1.2.1, \(§\)3.1.3.1 |
| (c) Determine mean, mode and median of grouped and ungrouped data | \(§\)3.1.2.2, \(§\)3.1.2.3, \(§\)3.1.2.4, \(§\)3.1.3.2, \(§\)3.1.3.3, \(§\)3.1.3.4 |
| (d) Represent data using histograms and frequency polygons | \(§\)3.1.4, \(§\)3.1.5 |
| (e) Interpret data from histograms and frequency polygons | \(§\)3.1.4, \(§\)3.1.5 |
| (f) Promote data collection, organisation and representation for informed decision making | \(§\)3.1.1.1, \(§\)3.1.1.2, \(§\)3.1.5, \(§\)3.1.6 |
3.2 Probability 1
| Outcome | Coverage in Textbook |
|---|---|
| (a) Perform experiments involving probabilities in different situations | \(§\)3.2.1 |
| (b) Identify the range of probability in different situations | \(§\)3.2.1 |
| (c) Generate probability space of different events | \(§\)3.2.2 |
| (d) Determine the probability of mutually exclusive and independent events | \(§\)3.2.3, \(§\)3.2.4 |
| (e) Apply the laws of probability in different situations | \(§\)3.2.5.1, \(§\)3.2.5.2 |
| (f) Determine the probability of independent events using tree diagrams | \(§\)3.2.4, \(§\)3.2.6 |
| (g) Appreciate the application of probability in real-life situations | \(§\)3.2.1 |
