Grade 11 Mathematics Scheme of Work — Terms 1, 2 and 3, 2026
A CBE Mathematics scheme of work for Grade 11 covering Terms 1, 2 and 3 2026: strands and sub-strands mapped week by week with specific learning outcomes, key inquiry questions, suggested learning experiences, resources and assessment methods.
- Level
- Grade 11
- Subject
- Mathematics
- Terms
- Terms 1, 2 and 3
- Year
- 2026
- Weeks
- 39
Term 1 — Grade 11 Mathematics scheme of work
13 weeks · first 5 freeStrands and sub-strands covered
| Week | Lesson | Strand | Sub-Strand | Specific Learning Outcomes | Suggested Learning Experiences | Key Inquiry Questions | Learning Resources | Assessment Methods | Reflection |
|---|---|---|---|---|---|---|---|---|---|
| 1 | 1 | Numbers and Algebra 1.1 Quadratic Expressions and Equations | Quadratic Expressions and Equations - Perfect squares - completing squares - Quadratic formula - Solution of quadratic equations using the quadratic formula - Solution of simultaneous equations, one linear and one quadratic by substitution - Application of quadratic equations | By the end of the lesson, the learner should be able to: identify perfect squares in quadratic expressions and equations. | The learner is guided to: work with peers to factorise quadratic expressions and select perfect squares. | How are quadratic equations applied in day to day life? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 1 | 2 | Numbers and Algebra 1.1 Quadratic Expressions and Equations | Quadratic Expressions and Equations - Perfect squares - completing squares - Quadratic formula - Solution of quadratic equations using the quadratic formula - Solution of simultaneous equations, one linear and one quadratic by substitution - Application of quadratic equations | By the end of the lesson, the learner should be able to: solve quadratic equations by completing square method. | The learner is guided to: discuss the process of completing squares in quadratic equations. | How are quadratic equations applied in day to day life? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 1 | 3 | Numbers and Algebra 1.1 Quadratic Expressions and Equations | Quadratic Expressions and Equations - Perfect squares - completing squares - Quadratic formula - Solution of quadratic equations using the quadratic formula - Solution of simultaneous equations, one linear and one quadratic by substitution - Application of quadratic equations | By the end of the lesson, the learner should be able to: derive the quadratic formula using completing square. | The learner is guided to: use completing square method to determine the roots of quadratic equations. | How are quadratic equations applied in day to day life? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 1 | 4 | Numbers and Algebra 1.1 Quadratic Expressions and Equations | Quadratic Expressions and Equations - Perfect squares - completing squares - Quadratic formula - Solution of quadratic equations using the quadratic formula - Solution of simultaneous equations, one linear and one quadratic by substitution - Application of quadratic equations | By the end of the lesson, the learner should be able to: solve quadratic equations using the quadratic formula. | The learner is guided to: work with peers to obtain the quadratic formula from the general quadratic equation. | How are quadratic equations applied in day to day life? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 1 | 5 | Numbers and Algebra 1.1 Quadratic Expressions and Equations | Quadratic Expressions and Equations - Perfect squares - completing squares - Quadratic formula - Solution of quadratic equations using the quadratic formula - Solution of simultaneous equations, one linear and one quadratic by substitution - Application of quadratic equations | By the end of the lesson, the learner should be able to: solve simultaneous equations involving linear and quadratic equations. | The learner is guided to: discuss and interpret the discriminant (b2 - 4ac) in a quadratic equation. | How are quadratic equations applied in day to day life? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 2 | 1 | Numbers and Algebra 1.1 Quadratic Expressions and Equations | Quadratic Expressions and Equations - Perfect squares - completing squares - Quadratic formula - Solution of quadratic equations using the quadratic formula - Solution of simultaneous equations, one linear and one quadratic by substitution - Application of quadratic equations | By the end of the lesson, the learner should be able to: apply quadratic equations in real-life situations. | The learner is guided to: use the quadratic formula to find the roots of quadratic equations. | How are quadratic equations applied in day to day life? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 2 | 2 | Numbers and Algebra 1.1 Quadratic Expressions and Equations | Quadratic Expressions and Equations - Perfect squares - completing squares - Quadratic formula - Solution of quadratic equations using the quadratic formula - Solution of simultaneous equations, one linear and one quadratic by substitution - Application of quadratic equations | By the end of the lesson, the learner should be able to: appreciate the application of quadratic equations in real-life situations. | The learner is guided to: follow the steps in working out simultaneous equations involving linear and quadratic equations. | How are quadratic equations applied in day to day life? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 2 | 3 | Numbers and Algebra 1.1 Quadratic Expressions and Equations | Quadratic Expressions and Equations - Perfect squares - completing squares - Quadratic formula - Solution of quadratic equations using the quadratic formula - Solution of simultaneous equations, one linear and one quadratic by substitution - Application of quadratic equations | By the end of the lesson, the learner should be able to: identify perfect squares in quadratic expressions and equations. | The learner is guided to: discuss in a group to form and solve quadratic equations from roots and real life situations. | How are quadratic equations applied in day to day life? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 2 | 4 | Numbers and Algebra 1.1 Quadratic Expressions and Equations | Quadratic Expressions and Equations - Perfect squares - completing squares - Quadratic formula - Solution of quadratic equations using the quadratic formula - Solution of simultaneous equations, one linear and one quadratic by substitution - Application of quadratic equations | By the end of the lesson, the learner should be able to: solve quadratic equations by completing square method. | The learner is guided to: work with peers to factorise quadratic expressions and select perfect squares. | How are quadratic equations applied in day to day life? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 2 | 5 | Numbers and Algebra 1.1 Quadratic Expressions and Equations | Quadratic Expressions and Equations - Perfect squares - completing squares - Quadratic formula - Solution of quadratic equations using the quadratic formula - Solution of simultaneous equations, one linear and one quadratic by substitution - Application of quadratic equations | By the end of the lesson, the learner should be able to: derive the quadratic formula using completing square. | The learner is guided to: discuss the process of completing squares in quadratic equations. | How are quadratic equations applied in day to day life? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 3 | 1 | Numbers and Algebra 1.1 Quadratic Expressions and Equations | Irrational numbers - Irrational numbers - Simplification of irrational numbers - Operations on irrational numbers - Rationalisation of irrational numbers | By the end of the lesson, the learner should be able to: identify irrational numbers in from set of real numbers. | The learner is guided to: use a set of real numbers to distinguish between rational and irrational numbers. | How are irrational numbers used in daily life? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 3 | 2 | Numbers and Algebra 1.1 Quadratic Expressions and Equations | Irrational numbers - Irrational numbers - Simplification of irrational numbers - Operations on irrational numbers - Rationalisation of irrational numbers | By the end of the lesson, the learner should be able to: simplify irrational numbers in different situations. | The learner is guided to: work with peers simplify irrational numbers in form of fractions and non-fractions. | How are irrational numbers used in daily life? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 3 | 3 | Numbers and Algebra 1.1 Quadratic Expressions and Equations | Irrational numbers - Irrational numbers - Simplification of irrational numbers - Operations on irrational numbers - Rationalisation of irrational numbers | By the end of the lesson, the learner should be able to: perform operations on irrational numbers in different situations. | The learner is guided to: carry out operations involving addition, subtraction and multiplication of irrational numbers. | How are irrational numbers used in daily life? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 3 | 4 | Numbers and Algebra 1.1 Quadratic Expressions and Equations | Irrational numbers - Irrational numbers - Simplification of irrational numbers - Operations on irrational numbers - Rationalisation of irrational numbers | By the end of the lesson, the learner should be able to: rationalise irrational numbers in different situations. | The learner is guided to: work with peers generate conjugates of irrational numbers and use them to simplify the denominator with irrational number. | How are irrational numbers used in daily life? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 3 | 5 | Numbers and Algebra 1.1 Quadratic Expressions and Equations | Irrational numbers - Irrational numbers - Simplification of irrational numbers - Operations on irrational numbers - Rationalisation of irrational numbers | By the end of the lesson, the learner should be able to: apply irrational numbers in different situations. | The learner is guided to: solve irrational numbers from real life situations. | How are irrational numbers used in daily life? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 4 | 1 | Numbers and Algebra 1.1 Quadratic Expressions and Equations | Irrational numbers - Irrational numbers - Simplification of irrational numbers - Operations on irrational numbers - Rationalisation of irrational numbers | By the end of the lesson, the learner should be able to: reflect on the use of irrational numbers in mathematical computations. | The learner is guided to: use digital devices and other resources to learn more on application of irrational numbers in real life. | How are irrational numbers used in daily life? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 4 | 2 | Numbers and Algebra 1.1 Quadratic Expressions and Equations | Irrational numbers - Irrational numbers - Simplification of irrational numbers - Operations on irrational numbers - Rationalisation of irrational numbers | By the end of the lesson, the learner should be able to: identify irrational numbers in from set of real numbers. | The learner is guided to: use a set of real numbers to distinguish between rational and irrational numbers. | How are irrational numbers used in daily life? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 4 | 3 | Numbers and Algebra 1.1 Quadratic Expressions and Equations | Irrational numbers - Irrational numbers - Simplification of irrational numbers - Operations on irrational numbers - Rationalisation of irrational numbers | By the end of the lesson, the learner should be able to: simplify irrational numbers in different situations. | The learner is guided to: work with peers simplify irrational numbers in form of fractions and non-fractions. | How are irrational numbers used in daily life? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 4 | 4 | Numbers and Algebra 1.1 Quadratic Expressions and Equations | Irrational numbers - Irrational numbers - Simplification of irrational numbers - Operations on irrational numbers - Rationalisation of irrational numbers | By the end of the lesson, the learner should be able to: perform operations on irrational numbers in different situations. | The learner is guided to: carry out operations involving addition, subtraction and multiplication of irrational numbers. | How are irrational numbers used in daily life? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 4 | 5 | Numbers and Algebra 1.1 Quadratic Expressions and Equations | Linear Inequalities - Simple and compound inequality statements - Linear inequality in two unknowns - Graphical representation of linear inequalities - Graphical solutions of simultaneous linear inequalities - Simple linear inequalities from inequality graphs | By the end of the lesson, the learner should be able to: solve compound inequalities in one unknown. | The learner is guided to: work with peers to obtain inequality expressions from compound inequality statements. | How are linear inequalities used in day to day life? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 5 | 1 | Numbers and Algebra 1.1 Quadratic Expressions and Equations | Linear Inequalities - Simple and compound inequality statements - Linear inequality in two unknowns - Graphical representation of linear inequalities - Graphical solutions of simultaneous linear inequalities - Simple linear inequalities from inequality graphs | By the end of the lesson, the learner should be able to: represent linear inequalities in two unknowns graphically. | The learner is guided to: draw graphs of compound inequalities on a Cartesian plane and shade the unwanted region. | How are linear inequalities used in day to day life? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 5 | 2 | Numbers and Algebra 1.1 Quadratic Expressions and Equations | Linear Inequalities - Simple and compound inequality statements - Linear inequality in two unknowns - Graphical representation of linear inequalities - Graphical solutions of simultaneous linear inequalities - Simple linear inequalities from inequality graphs | By the end of the lesson, the learner should be able to: solve the linear inequalities in two unknowns graphically. | The learner is guided to: use graphs to identify the region satisfying the inequality statements. | How are linear inequalities used in day to day life? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 5 | 3 | Numbers and Algebra 1.1 Quadratic Expressions and Equations | Linear Inequalities - Simple and compound inequality statements - Linear inequality in two unknowns - Graphical representation of linear inequalities - Graphical solutions of simultaneous linear inequalities - Simple linear inequalities from inequality graphs | By the end of the lesson, the learner should be able to: form simple linear inequalities from inequality graphs. | The learner is guided to: work with peers to generate the simple linear inequalities from inequality graphs. | How are linear inequalities used in day to day life? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 5 | 4 | Numbers and Algebra 1.1 Quadratic Expressions and Equations | Linear Inequalities - Simple and compound inequality statements - Linear inequality in two unknowns - Graphical representation of linear inequalities - Graphical solutions of simultaneous linear inequalities - Simple linear inequalities from inequality graphs | By the end of the lesson, the learner should be able to: apply inequalities to real life situations. | The learner is guided to: relate the inequality symbols to the speed limits signs on the roads. | How are linear inequalities used in day to day life? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 5 | 5 | Numbers and Algebra 1.1 Quadratic Expressions and Equations | Linear Inequalities - Simple and compound inequality statements - Linear inequality in two unknowns - Graphical representation of linear inequalities - Graphical solutions of simultaneous linear inequalities - Simple linear inequalities from inequality graphs | By the end of the lesson, the learner should be able to: appreciate the use of inequalities in real life. | The learner is guided to: use digital resources to represent linear inequalities graphically. | How are linear inequalities used in day to day life? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review |
Weeks 6–13 are in the full Term 1 document — KES 30 by M-Pesa.
Term 2 — Grade 11 Mathematics scheme of work
13 weeks · first 5 freeStrands and sub-strands covered
| Week | Lesson | Strand | Sub-Strand | Specific Learning Outcomes | Suggested Learning Experiences | Key Inquiry Questions | Learning Resources | Assessment Methods | Reflection |
|---|---|---|---|---|---|---|---|---|---|
| 1 | 1 | Numbers and Algebra 1.1 Quadratic Expressions and Equations | Matrices (I) -Types of matrices (column matrix, row matrix, square matrix, rectangular matric, null matrix and identity matrix) -Properties of a matrix (elements in a matrix, order of a matrix, compatibility of two or more matrices) | By the end of the lesson, the learner should be able to: identify types of matrices using rows and columns. | The learner is guided to: work with peers to recognise column matrix, row matrix, square matrix, rectangular matric, null matrix and identity matrix. | How is the knowledge of matrices used in real life? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 1 | 2 | Numbers and Algebra 1.1 Quadratic Expressions and Equations | Matrices (I) -Types of matrices (column matrix, row matrix, square matrix, rectangular matric, null matrix and identity matrix) -Properties of a matrix (elements in a matrix, order of a matrix, compatibility of two or more matrices) | By the end of the lesson, the learner should be able to: determine properties of a matrix from rows and columns. | The learner is guided to: discuss with peers and identify the position of elements and order of matrices. | How is the knowledge of matrices used in real life? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 1 | 3 | Numbers and Algebra 1.1 Quadratic Expressions and Equations | Matrices (I) -Types of matrices (column matrix, row matrix, square matrix, rectangular matric, null matrix and identity matrix) -Properties of a matrix (elements in a matrix, order of a matrix, compatibility of two or more matrices) | By the end of the lesson, the learner should be able to: perform addition and subtraction of compatible matrices. | The learner is guided to: work with peers to recognise compatible matrices then carry out addition and subtraction of compatible matrices. | How is the knowledge of matrices used in real life? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 1 | 4 | Numbers and Algebra 1.1 Quadratic Expressions and Equations | Matrices (I) -Types of matrices (column matrix, row matrix, square matrix, rectangular matric, null matrix and identity matrix) -Properties of a matrix (elements in a matrix, order of a matrix, compatibility of two or more matrices) | By the end of the lesson, the learner should be able to: multiply compatible matrices in different situations. | The learner is guided to: work out multiplication of a matrix by a scalar and a matrix by a matrix. | How is the knowledge of matrices used in real life? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 1 | 5 | Numbers and Algebra 1.1 Quadratic Expressions and Equations | Matrices (I) -Types of matrices (column matrix, row matrix, square matrix, rectangular matric, null matrix and identity matrix) -Properties of a matrix (elements in a matrix, order of a matrix, compatibility of two or more matrices) | By the end of the lesson, the learner should be able to: Compute the determinant of a 2 by 2 matrix. | The learner is guided to: work out the determinant of a 2 by 2 matrix and identify singular matrix. | How is the knowledge of matrices used in real life? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 2 | 1 | Numbers and Algebra 1.1 Quadratic Expressions and Equations | Matrices (I) -Types of matrices (column matrix, row matrix, square matrix, rectangular matric, null matrix and identity matrix) -Properties of a matrix (elements in a matrix, order of a matrix, compatibility of two or more matrices) | By the end of the lesson, the learner should be able to: determine the inverse of a 2 by 2 matrix. | The learner is guided to: work with peers to obtain the inverse of a 2 by 2 matrix. | How is the knowledge of matrices used in real life? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 2 | 2 | Numbers and Algebra 1.1 Quadratic Expressions and Equations | Matrices (I) -Types of matrices (column matrix, row matrix, square matrix, rectangular matric, null matrix and identity matrix) -Properties of a matrix (elements in a matrix, order of a matrix, compatibility of two or more matrices) | By the end of the lesson, the learner should be able to: solve linear equations in two unknowns using matrix method. | The learner is guided to: practice solving equations involving two unknowns using matrices. | How is the knowledge of matrices used in real life? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 2 | 3 | Numbers and Algebra 1.1 Quadratic Expressions and Equations | Matrices (I) -Types of matrices (column matrix, row matrix, square matrix, rectangular matric, null matrix and identity matrix) -Properties of a matrix (elements in a matrix, order of a matrix, compatibility of two or more matrices) | By the end of the lesson, the learner should be able to: explore the use of matrices in real life situations. | The learner is guided to: interpret real life cases, form equations in two unknowns and obtain solutions using matrices. | How is the knowledge of matrices used in real life? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 2 | 4 | Numbers and Algebra 1.1 Quadratic Expressions and Equations | Matrices (I) -Types of matrices (column matrix, row matrix, square matrix, rectangular matric, null matrix and identity matrix) -Properties of a matrix (elements in a matrix, order of a matrix, compatibility of two or more matrices) | By the end of the lesson, the learner should be able to: identify types of matrices using rows and columns. | The learner is guided to: use digital devices or other resources to learn more on the use of matrices in real life situations. | How is the knowledge of matrices used in real life? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 2 | 5 | Measurements and Geometry | Approximation and Errors - Estimation and approximations - Absolute, Relative and Percentage errors - Round off (significant figures decimal places) - Truncation errors - Propagation of errors | By the end of the lesson, the learner should be able to: determine errors from measurements of quantities. | The learner is guided to: estimate measurement of quantities and compare with the actual values. | Why are quantities approximated? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 3 | 1 | Measurements and Geometry | Approximation and Errors - Estimation and approximations - Absolute, Relative and Percentage errors - Round off (significant figures decimal places) - Truncation errors - Propagation of errors | By the end of the lesson, the learner should be able to: determine absolute, relative and percentage errors from measurements. | The learner is guided to: work with peers to calculate absolute, relative and percentage errors using the estimates and actual measurements. | Why are quantities approximated? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 3 | 2 | Measurements and Geometry | Approximation and Errors - Estimation and approximations - Absolute, Relative and Percentage errors - Round off (significant figures decimal places) - Truncation errors - Propagation of errors | By the end of the lesson, the learner should be able to: compute round off and truncation errors from measurements. | The learner is guided to: work out the absolute errors resulting from rounding off numbers to a given decimal places and significant figures. | Why are quantities approximated? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 3 | 3 | Measurements and Geometry | Approximation and Errors - Estimation and approximations - Absolute, Relative and Percentage errors - Round off (significant figures decimal places) - Truncation errors - Propagation of errors | By the end of the lesson, the learner should be able to: determine maximum and minimum errors from limits in measurements. | The learner is guided to: work with peers to truncate numbers to a given significant figures and decimal places working out errors associated with them. | Why are quantities approximated? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 3 | 4 | Measurements and Geometry | Approximation and Errors - Estimation and approximations - Absolute, Relative and Percentage errors - Round off (significant figures decimal places) - Truncation errors - Propagation of errors | By the end of the lesson, the learner should be able to: perform propagation of errors using limits of measurements. | The learner is guided to: work out the maximum and minimum errors from real life situations. | Why are quantities approximated? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 3 | 5 | Measurements and Geometry | Approximation and Errors - Estimation and approximations - Absolute, Relative and Percentage errors - Round off (significant figures decimal places) - Truncation errors - Propagation of errors | By the end of the lesson, the learner should be able to: appreciate the use of approximations and errors in real life situations. | The learner is guided to: use limits to carry out propagation of errors involving addition, subtraction, multiplication and division of quantities. | Why are quantities approximated? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 4 | 1 | Measurements and Geometry | Approximation and Errors - Estimation and approximations - Absolute, Relative and Percentage errors - Round off (significant figures decimal places) - Truncation errors - Propagation of errors | By the end of the lesson, the learner should be able to: determine errors from measurements of quantities. | The learner is guided to: discuss effects of approximations and errors when planning for a journey to enhance road safety on the road during the journey. | Why are quantities approximated? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 4 | 2 | Measurements and Geometry | Approximation and Errors - Estimation and approximations - Absolute, Relative and Percentage errors - Round off (significant figures decimal places) - Truncation errors - Propagation of errors | By the end of the lesson, the learner should be able to: determine absolute, relative and percentage errors from measurements. | The learner is guided to: estimate measurement of quantities and compare with the actual values. | Why are quantities approximated? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 4 | 3 | Measurements and Geometry | Approximation and Errors - Estimation and approximations - Absolute, Relative and Percentage errors - Round off (significant figures decimal places) - Truncation errors - Propagation of errors | By the end of the lesson, the learner should be able to: compute round off and truncation errors from measurements. | The learner is guided to: work with peers to calculate absolute, relative and percentage errors using the estimates and actual measurements. | Why are quantities approximated? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 4 | 4 | Measurements and Geometry | Angle Properties of a Circle - Arc, chord and segment - Angle subtended by the same arc - Angle subtended by the same chord - Angles in a semicircle - Cyclic quadrilateral | By the end of the lesson, the learner should be able to: identify an arc, chord, and segment in a circle. | The learner is guided to: use circular shapes or objects to recognise arcs, chords, and segments of a circle. | How is the knowledge of angle properties of a circle used in day to day life? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 4 | 5 | Measurements and Geometry | Angle Properties of a Circle - Arc, chord and segment - Angle subtended by the same arc - Angle subtended by the same chord - Angles in a semicircle - Cyclic quadrilateral | By the end of the lesson, the learner should be able to: relate angles subtended by the same arc at the circumference. | The learner is guided to: model circle, mark an arc on the circumference of the circle. Use the arc to subtend different angles at the circumference of the circle then compare the angles. | How is the knowledge of angle properties of a circle used in day to day life? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 5 | 1 | Measurements and Geometry | Angle Properties of a Circle - Arc, chord and segment - Angle subtended by the same arc - Angle subtended by the same chord - Angles in a semicircle - Cyclic quadrilateral | By the end of the lesson, the learner should be able to: relate the angle subtended by an arc at the centre and at the circumference. | The learner is guided to: Use a model of a circle, subtend an angle at the centre and at the circumference, measure the angles and compare them. | How is the knowledge of angle properties of a circle used in day to day life? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 5 | 2 | Measurements and Geometry | Angle Properties of a Circle - Arc, chord and segment - Angle subtended by the same arc - Angle subtended by the same chord - Angles in a semicircle - Cyclic quadrilateral | By the end of the lesson, the learner should be able to: determine angles subtended by a chord and a diameter at the circumference. | The learner is guided to: Work with peers to use a chord to subtend angles at the centre and at the circumference in the same segment to establish the relationship. | How is the knowledge of angle properties of a circle used in day to day life? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 5 | 3 | Measurements and Geometry | Angle Properties of a Circle - Arc, chord and segment - Angle subtended by the same arc - Angle subtended by the same chord - Angles in a semicircle - Cyclic quadrilateral | By the end of the lesson, the learner should be able to: determine angles in a cyclic quadrilateral. | The learner is guided to: subtend angles from the diameter to the circumference in both segments, measure the angles and draw conclusions. | How is the knowledge of angle properties of a circle used in day to day life? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 5 | 4 | Measurements and Geometry | Angle Properties of a Circle - Arc, chord and segment - Angle subtended by the same arc - Angle subtended by the same chord - Angles in a semicircle - Cyclic quadrilateral | By the end of the lesson, the learner should be able to: apply the angle properties of a circle in different situations. | The learner is guided to: inscribe a quadrilateral into a circle, establish the relationship of the angles in the quadrilateral. | How is the knowledge of angle properties of a circle used in day to day life? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 5 | 5 | Measurements and Geometry | Angle Properties of a Circle - Arc, chord and segment - Angle subtended by the same arc - Angle subtended by the same chord - Angles in a semicircle - Cyclic quadrilateral | By the end of the lesson, the learner should be able to: reflect on the use of angle properties of a circle in different situations. | The learner is guided to: use digital devices and other resources to learn more on angle properties of a circle. | How is the knowledge of angle properties of a circle used in day to day life? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review |
Weeks 6–13 are in the full Term 2 document — KES 30 by M-Pesa.
Term 3 — Grade 11 Mathematics scheme of work
13 weeks · first 5 freeStrands and sub-strands covered
| Week | Lesson | Strand | Sub-Strand | Specific Learning Outcomes | Suggested Learning Experiences | Key Inquiry Questions | Learning Resources | Assessment Methods | Reflection |
|---|---|---|---|---|---|---|---|---|---|
| 1 | 1 | Measurements and Geometry | Trigonometry (II) - Unit circle - Trigonometric ratios from unit circle - Angles greater than 900 , negative angles - Radian measure - Conversion of degrees to radians and vice versa - Graphs of (sin x, cos x, tan x) - 360 0<x<360 0 - Deriving sine and cosine rules - Trigonometric solution of triangles, - Application of Sine and Cosine Rules | By the end of the lesson, the learner should be able to: determine trigonometric ratios of angles using a unit circle. | The learner is guided to: work with peers to draw a unit circle and use it to obtain trigonometric ratios; work out the trigonometric ratios of angles greater than 900 from the unit circle. | why is the knowledge of trigonometry important? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 1 | 2 | Measurements and Geometry | Trigonometry (II) - Unit circle - Trigonometric ratios from unit circle - Angles greater than 900 , negative angles - Radian measure - Conversion of degrees to radians and vice versa - Graphs of (sin x, cos x, tan x) - 360 0<x<360 0 - Deriving sine and cosine rules - Trigonometric solution of triangles, - Application of Sine and Cosine Rules | By the end of the lesson, the learner should be able to: determine trigonometric ratios of angles greater than 900 in different situations; determine trigonometric ratios of negative angles in different situations. | The learner is guided to: work out trigonometric ratios of negative angles from the unit circle. | why is the knowledge of trigonometry important? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 1 | 3 | Measurements and Geometry | Trigonometry (II) - Unit circle - Trigonometric ratios from unit circle - Angles greater than 900 , negative angles - Radian measure - Conversion of degrees to radians and vice versa - Graphs of (sin x, cos x, tan x) - 360 0<x<360 0 - Deriving sine and cosine rules - Trigonometric solution of triangles, - Application of Sine and Cosine Rules | By the end of the lesson, the learner should be able to: solve trigonometric equations involving trigonometric ratios the range 00 to 3600. | The learner is guided to: collaborate with peers to work out trigonometric equations involving single trigonometric ratios in the range 00 to 3600; collaborate with peers to convert angles from degrees to the radian. | why is the knowledge of trigonometry important? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 1 | 4 | Measurements and Geometry | Trigonometry (II) - Unit circle - Trigonometric ratios from unit circle - Angles greater than 900 , negative angles - Radian measure - Conversion of degrees to radians and vice versa - Graphs of (sin x, cos x, tan x) - 360 0<x<360 0 - Deriving sine and cosine rules - Trigonometric solution of triangles, - Application of Sine and Cosine Rules | By the end of the lesson, the learner should be able to: convert angles from degrees to radians and vice versa in different situations. | The learner is guided to: discuss with peers to convert angles from radians to degrees. | why is the knowledge of trigonometry important? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 1 | 5 | Measurements and Geometry | Trigonometry (II) - Unit circle - Trigonometric ratios from unit circle - Angles greater than 900 , negative angles - Radian measure - Conversion of degrees to radians and vice versa - Graphs of (sin x, cos x, tan x) - 360 0<x<360 0 - Deriving sine and cosine rules - Trigonometric solution of triangles, - Application of Sine and Cosine Rules | By the end of the lesson, the learner should be able to: draw graphs of trigonometric functions in degrees and radians. | The learner is guided to: generate tables of values for trigonometric functions using calculators or mathematical tables; plot graphs of trigonometric functions using a suitable scale. | why is the knowledge of trigonometry important? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 2 | 1 | Measurements and Geometry | Trigonometry (II) - Unit circle - Trigonometric ratios from unit circle - Angles greater than 900 , negative angles - Radian measure - Conversion of degrees to radians and vice versa - Graphs of (sin x, cos x, tan x) - 360 0<x<360 0 - Deriving sine and cosine rules - Trigonometric solution of triangles, - Application of Sine and Cosine Rules | By the end of the lesson, the learner should be able to: derive sine and cosine rules using triangles; solve triangles using the sine and cosine rule. | The learner is guided to: work with peers to derive sine and cosine rules from triangles. | why is the knowledge of trigonometry important? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 2 | 2 | Measurements and Geometry | Trigonometry (II) - Unit circle - Trigonometric ratios from unit circle - Angles greater than 900 , negative angles - Radian measure - Conversion of degrees to radians and vice versa - Graphs of (sin x, cos x, tan x) - 360 0<x<360 0 - Deriving sine and cosine rules - Trigonometric solution of triangles, - Application of Sine and Cosine Rules | By the end of the lesson, the learner should be able to: appreciate use of trigonometry in real life situations. | The learner is guided to: work out sides and angles in a triangle using sine and cosine rules; use digital devices to draw graphs of trigonometric functions. | why is the knowledge of trigonometry important? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 2 | 3 | Measurements and Geometry | Graphical Methods - Graph of quadratic equations - Graphical solution of simultaneous equation s, one linear and one quadratic - Graphs of cubic relation - Average rate of change - Rate of change at an instant - Empirical data and their graphs - Line of best fit - Reduction of non-linear to linear - Equation of a circle - Conic curves - circle - parabola | By the end of the lesson, the learner should be able to: solve quadratic and cubic equations graphically. | The learner is guided to: draw graphs of quadratic and cubic equations and determine their roots. | How are relations presented in real life? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 2 | 4 | Measurements and Geometry | Graphical Methods - Graph of quadratic equations - Graphical solution of simultaneous equation s, one linear and one quadratic - Graphs of cubic relation - Average rate of change - Rate of change at an instant - Empirical data and their graphs - Line of best fit - Reduction of non-linear to linear - Equation of a circle - Conic curves - circle - parabola | By the end of the lesson, the learner should be able to: solve simultaneous equations of a linear and a quadratic and cubic equations graphically. | The learner is guided to: draw graphs of linear and quadratic equations and determine the roots. | How are relations presented in real life? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 2 | 5 | Measurements and Geometry | Graphical Methods - Graph of quadratic equations - Graphical solution of simultaneous equation s, one linear and one quadratic - Graphs of cubic relation - Average rate of change - Rate of change at an instant - Empirical data and their graphs - Line of best fit - Reduction of non-linear to linear - Equation of a circle - Conic curves - circle - parabola | By the end of the lesson, the learner should be able to: determine average rate of change and average rate of change at an instant from a graph. | The learner is guided to: work out average rate of change from graphical representation of equations. | How are relations presented in real life? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 3 | 1 | Measurements and Geometry | Graphical Methods - Graph of quadratic equations - Graphical solution of simultaneous equation s, one linear and one quadratic - Graphs of cubic relation - Average rate of change - Rate of change at an instant - Empirical data and their graphs - Line of best fit - Reduction of non-linear to linear - Equation of a circle - Conic curves - circle - parabola | By the end of the lesson, the learner should be able to: draw graphs of empirical data and line of best fit in different situations. | The learner is guided to: discuss with peers then work out instantaneous rate of change from graphs. | How are relations presented in real life? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 3 | 2 | Measurements and Geometry | Graphical Methods - Graph of quadratic equations - Graphical solution of simultaneous equation s, one linear and one quadratic - Graphs of cubic relation - Average rate of change - Rate of change at an instant - Empirical data and their graphs - Line of best fit - Reduction of non-linear to linear - Equation of a circle - Conic curves - circle - parabola | By the end of the lesson, the learner should be able to: convert nonlinear equation to linear form in different situations. | The learner is guided to: collaborate with peers to plot empirical data and draw line of best fit. | How are relations presented in real life? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 3 | 3 | Measurements and Geometry | Graphical Methods - Graph of quadratic equations - Graphical solution of simultaneous equation s, one linear and one quadratic - Graphs of cubic relation - Average rate of change - Rate of change at an instant - Empirical data and their graphs - Line of best fit - Reduction of non-linear to linear - Equation of a circle - Conic curves - circle - parabola | By the end of the lesson, the learner should be able to: determine constants in nonlinear equations in different situations. | The learner is guided to: work with peers to convert a given nonlinear relation to linear. | How are relations presented in real life? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 3 | 4 | Measurements and Geometry | Graphical Methods - Graph of quadratic equations - Graphical solution of simultaneous equation s, one linear and one quadratic - Graphs of cubic relation - Average rate of change - Rate of change at an instant - Empirical data and their graphs - Line of best fit - Reduction of non-linear to linear - Equation of a circle - Conic curves - circle - parabola | By the end of the lesson, the learner should be able to: determine the centre, radius and equation of a circle in different situations. | The learner is guided to: work with peers to determine constants in non-linear relations using graphs of linear relations. | How are relations presented in real life? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 3 | 5 | Measurements and Geometry | Graphical Methods - Graph of quadratic equations - Graphical solution of simultaneous equation s, one linear and one quadratic - Graphs of cubic relation - Average rate of change - Rate of change at an instant - Empirical data and their graphs - Line of best fit - Reduction of non-linear to linear - Equation of a circle - Conic curves - circle - parabola | By the end of the lesson, the learner should be able to: draw graphs of circles and parabolas in different situations. | The learner is guided to: work out the coordinates of the centre of a circle and its radius from an equation. | How are relations presented in real life? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 4 | 1 | Measurements and Geometry | Graphical Methods - Graph of quadratic equations - Graphical solution of simultaneous equation s, one linear and one quadratic - Graphs of cubic relation - Average rate of change - Rate of change at an instant - Empirical data and their graphs - Line of best fit - Reduction of non-linear to linear - Equation of a circle - Conic curves - circle - parabola | By the end of the lesson, the learner should be able to: promote the use of graphical solutions to day to day life. | The learner is guided to: work out the equation of the circle using coordinates of the centre. | How are relations presented in real life? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 4 | 2 | Measurements and Geometry | Graphical Methods - Graph of quadratic equations - Graphical solution of simultaneous equation s, one linear and one quadratic - Graphs of cubic relation - Average rate of change - Rate of change at an instant - Empirical data and their graphs - Line of best fit - Reduction of non-linear to linear - Equation of a circle - Conic curves - circle - parabola | By the end of the lesson, the learner should be able to: solve quadratic and cubic equations graphically. | The learner is guided to: generate tables of values from equations of circles and parabolas. | How are relations presented in real life? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 4 | 3 | Measurements and Geometry | Graphical Methods - Graph of quadratic equations - Graphical solution of simultaneous equation s, one linear and one quadratic - Graphs of cubic relation - Average rate of change - Rate of change at an instant - Empirical data and their graphs - Line of best fit - Reduction of non-linear to linear - Equation of a circle - Conic curves - circle - parabola | By the end of the lesson, the learner should be able to: solve simultaneous equations of a linear and a quadratic and cubic equations graphically. | The learner is guided to: use digital resources to draw graphs of different relations. | How are relations presented in real life? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 4 | 4 | Measurements and Geometry | Graphical Methods - Graph of quadratic equations - Graphical solution of simultaneous equation s, one linear and one quadratic - Graphs of cubic relation - Average rate of change - Rate of change at an instant - Empirical data and their graphs - Line of best fit - Reduction of non-linear to linear - Equation of a circle - Conic curves - circle - parabola | By the end of the lesson, the learner should be able to: determine average rate of change and average rate of change at an instant from a graph. | The learner is guided to: draw graphs of quadratic and cubic equations and determine their roots. | How are relations presented in real life? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 4 | 5 | Statistics and Probability | Permutations and combinations - Factorial notation - Permutations - Combinations - Application of permutations and combinations | By the end of the lesson, the learner should be able to: express a natural number in factorial notation. | The learner is guided to: work with peers to explore and express natural numbers in factorial notation. | How are permutations used in day-to-day life?; Where is combination used in day-to-day life? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 5 | 1 | Statistics and Probability | Permutations and combinations - Factorial notation - Permutations - Combinations - Application of permutations and combinations | By the end of the lesson, the learner should be able to: perform permutations involving real life situations. | The learner is guided to: discuss life situations involving permutations. | How are permutations used in day-to-day life?; Where is combination used in day-to-day life? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 5 | 2 | Statistics and Probability | Permutations and combinations - Factorial notation - Permutations - Combinations - Application of permutations and combinations | By the end of the lesson, the learner should be able to: perform combinations involving real life situations. | The learner is guided to: work out permutations using real life cases. | How are permutations used in day-to-day life?; Where is combination used in day-to-day life? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 5 | 3 | Statistics and Probability | Permutations and combinations - Factorial notation - Permutations - Combinations - Application of permutations and combinations | By the end of the lesson, the learner should be able to: apply permutations and combinations to real life situations. | The learner is guided to: discuss real life situation involving combinations. | How are permutations used in day-to-day life?; Where is combination used in day-to-day life? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 5 | 4 | Statistics and Probability | Permutations and combinations - Factorial notation - Permutations - Combinations - Application of permutations and combinations | By the end of the lesson, the learner should be able to: explore the use of permutations and combinations in real life situations. | The learner is guided to: use different objects to come up with different combinations then work out combinations based in real life situations. | How are permutations used in day-to-day life?; Where is combination used in day-to-day life? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review | |
| 5 | 5 | Statistics and Probability | Permutations and combinations - Factorial notation - Permutations - Combinations - Application of permutations and combinations | By the end of the lesson, the learner should be able to: express a natural number in factorial notation. | The learner is guided to: work with peers to research the application of permutations and combinations in real life situations. | How are permutations used in day-to-day life?; Where is combination used in day-to-day life? | Counters, place value charts, number cards, geometric models, textbook, digital device | Observation, oral questions, written exercises, group discussion, project work and portfolio review |
Weeks 6–13 are in the full Term 3 document — KES 30 by M-Pesa.
More Grade 11 schemes of work
Questions about this scheme of work
Does this page cover all the terms?
It carries Terms 1, 2 and 3 of 2026 — every term published for Grade 11 Mathematics so far. Each term has its own week-by-week table and free preview, and a new term joins this same page when it goes live.
How do I download a whole term as a PDF?
The first 5 weeks of each term are free to read on this page. Open the term you need, pay KES 30 by M-Pesa, then use Print / Save PDF — the sheet is laid out for A4 landscape.
Can I adapt it for my own school calendar?
Every scheme is generated from the curriculum taxonomy, so you can rebuild it with your own week count, strands and pacing on the Generate screen and keep the result as your own document.