Summary

• Description:

  The MS Word document comprises Grade 10 CBC Essential Mathematics Term 3 2026 Scheme of Work designed for senior school educators teaching Essential Mathematics under the Competency-Based Curriculum (CBC) framework established by the Kenya Institute of Curriculum Development (KICD). This instructional document serves as an essential teaching and lesson planning guide, enabling teachers to structure learning activities, ensure complete syllabus coverage, organize practical financial/statistical projects, and evaluate learner performance throughout the third academic term.

  The curriculum covers two major mathematical strands: Strand 2.0 (Numbers and Algebra) and Strand 3.0 (Statistics and Probability). Under Sub-Strand 2.8, Commercial Arithmetic 1, learners explore practical consumer mathematics, including club budgeting, calculating cash discounts and percentage discounts, sales commissions, profit and loss calculations, percentage profit/loss, currency exchange rate conversions (KSh to USD/EUR/GBP using buying and selling rates), and multi-step commercial calculations. The scheme then transitions to Statistics 1 under Sub-Strand 3.1, covering data collection, frequency distribution tables for discrete ungrouped data, measures of central tendency (mean, mode, median), constructing bar graphs, line graphs, and pie charts (sector angle calculations), spreadsheet graphing using ICT tools, and executing a statistical mini-project. Finally, Probability 1 under Sub-Strand 3.2 introduces chance concepts, equally likely outcomes, probability scales (0 <= P(E) <= 1), Mutually Exclusive events Addition Rule (P(A or B) = P(A) + P(B)), Independent events Multiplication Rule (P(A and B) = P(A) x P(B)), tree diagrams, and analyzing gambling risks.

  Key Scheme Details

  • Education Level: Grade 10 (Senior School)

  • Subject: Essential Mathematics

  • Term: Term 3

  • Year: 2026

  • Curriculum: KICD Competency-Based Curriculum (CBC) 2025 Framework

  • Number of Weeks Covered: 9 Calendar Weeks

  • Number of Teaching Weeks: 8 Weeks

  • Number of Lessons per Week: 5 Lessons

  • Total Number of Lessons: 40 Lessons

  • Half-Term/Mid-Term Break: Week 7 (7 October 2026 - 11 October 2026)

  • Examination/Assessment Period: Week 9

  • Strands Covered: Numbers and Algebra, Statistics and Probability, Strand Review

  • Sub-Strands Covered: Commercial Arithmetic 1, Statistics 1, Probability 1, Term 3 Strand Review, Exam Preparation and Review, End of Term Assessment, Assessment Feedback, Project Evaluation, Resource Maintenance

  • Assessment Methods: Group presentations, written assignments/tests, role-play observation, problem-solving rubrics, table reading tasks, frequency table evaluations, graph drawing rubrics, pie chart calculations, digital product scoring, probability experiment rubrics, reflection journals, written examination papers

  • Learning Resources: Grade 10 Essential Mathematics Curriculum Design, sample budget sheets, calculators, price tags, receipts, currency exchange rate tables, digital devices, tally sheets, graph paper, rulers, protractors, compasses, colored pencils, computers/tablets with spreadsheet software, dice, coins, playing cards, marbles, probability scale charts, past examination papers, marking schemes

  Weekly Coverage

  Week 1: Commercial Arithmetic 1 (Budgeting, Discounts, Commission and Profit/Loss)
  Concepts and preparation of club budgets, calculating cash discounts and percentage discounts (Marked Price - Selling Price), sales commissions, identifying Cost Price (CP) and Selling Price (SP), and calculating profit/loss and percentage profit/loss (Profit/CP x 100%).

  Week 2: Currency Exchange, Complex Calculations and Financial Literacy
  Interpreting bank currency exchange rate tables, converting KSh to foreign currencies using selling rates, converting foreign currencies to KSh using buying rates, solving multi-step commercial arithmetic word problems, financial ethics, and Commercial Arithmetic 1 review.

  Week 3: Statistics 1 (Data Collection, Frequency Tables and Central Tendency)
  Collecting discrete and continuous ungrouped data from the school environment, constructing frequency distribution tables using tallies, calculating the mean (sum(fx)/sum(f)), determining mode and median, and comparing central tendency measures.

  Week 4: Statistics 1 (Bar Graphs, Line Graphs and Pie Charts)
  Plotting vertical and horizontal bar graphs, constructing line graphs for discrete data trends, calculating sector angles (f/sum(f) x 360 degrees), drawing and labeling accurate pie charts using compasses and protractors, and interpreting graphical data.

  Week 5: Digital Graphing, Mini-Project and Probability 1 Basics
  Generating bar/line/pie charts using spreadsheet software (Excel/Google Sheets), planning and executing a school statistics mini-project, introduction to probability concepts (trials, experiments, sample spaces), and computing probability for equally likely outcomes (P(E) = n(E)/n(S)).

  Week 6: Probability Scale, Mutually Exclusive and Independent Events
  Probability scale range (0 <= P(E) <= 1), classifying impossible (0) and certain (1) events, Mutually Exclusive events Addition Rule (P(A or B) = P(A) + P(B)), single-chance marble drawing experiments, and defining independent events.

  Week 7: Mid-Term Break
  Scheduled mid-term break from 7 October 2026 to 11 October 2026.

  Week 8: Independent Probabilities, Tree Diagrams, Gambling Risks and Strand Review
  Independent events Multiplication Rule (P(A and B) = P(A) x P(B)), tree diagrams, analyzing financial and social dangers of commercial gambling, revision of Commercial Arithmetic, Statistics, and Probability, and integrated term review.

  Week 9: Examination Preparation, Terminal Assessment and Workstation Audit
  Timed mock examination problem solving, sitting for the formal End-of-Term Written Essential Mathematics Examination, reviewing marked answer scripts, showcasing project portfolios, and auditing and storing learning materials.

  Strands and Sub-Strands Covered

  Strand 2.0: Numbers and Algebra

  Sub-Strand 2.8: Commercial Arithmetic 1

  • Budgeting principles: estimated income allocation vs. planned expenditures for school clubs.

  • Commercial discounts: marked price, selling price, discount amounts, and percentage discounts.

  • Sales commissions: total sales volume, commission percentage rates, and agent earnings.

  • Trading transactions: Cost Price (CP), Selling Price (SP), Profit (SP - CP), Loss (CP - SP).

  • Percentage profit (Profit/CP x 100%) and percentage loss (Loss/CP x 100%).

  • Foreign exchange: bank buying rates vs. bank selling rates (KSh vs. USD, EUR, GBP).

  • Combined multi-step transactions, successive discounts, and prudent financial literacy.

  Strand 3.0: Statistics and Probability

  Sub-Strand 3.1: Statistics 1

  • Data collection methods: primary environmental surveys, tallying, discrete vs. continuous data.

  • Frequency distribution table construction for ungrouped discrete data (sum(f)).

  • Measures of central tendency: Mean (x-bar = sum(fx)/sum(f)), Mode, and Median.

  • Graphical representation: vertical/horizontal bar graphs, trend line graphs, sector angle calculations (f/sum(f) x 360 degrees), pie charts.

  • ICT integration: automated chart wizard generation using spreadsheet software.

  • Statistical mini-projects: data gathering, chart presentation, and data-driven recommendations.

  Sub-Strand 3.2: Probability 1

  • Probability terminology: experiment, trial, outcome, sample space (S), equally likely events.

  • Theoretical probability formula (P(E) = n(E)/n(S)) using dice and coins.

  • Probability scale range (0 <= P(E) <= 1), impossible (0), certain (1), complementary events (P(E') = 1 - P(E)).

  • Mutually Exclusive events and the Addition Rule: P(A or B) = P(A) + P(B).

  • Independent events, outcome tables, tree diagrams, and the Multiplication Rule: P(A and B) = P(A) x P(B).

  • Real-world probability applications: risk assessment, decision making, and gambling risk analysis.

  Key Topics and Learning Areas

  Financial Arithmetic, Budgeting, and Foreign Exchange

  • Allocating income against expenses, profit margin optimizations, and commission calculations.

  • Currency conversion mechanics using bank buying and selling exchange rate tables.

  Data Collection, Central Tendencies, and Graphical Analytics

  • Tallying primary environmental data, frequency table construction, and computing mean (sum(fx)/sum(f)), mode, and median.

  • Constructing bar graphs, trend line graphs, and pie charts using protractors (f/sum(f) x 360 degrees) and spreadsheet software.

  Probability Theory, Event Laws, and Risk Analysis

  • Sample space generation, computing single-step probabilities (P(E) = n(E)/n(S)), and probability scale boundaries (0-1).

  • Applying Mutually Exclusive Addition Rules (P(A or B) = P(A) + P(B)) and Independent Multiplication Rules (P(A and B) = P(A) x P(B)).

  • Outcome tree diagrams, risk assessment modeling, and mathematical analysis of commercial gambling house odds.

  Learning Outcomes and Competencies

  Learners completing this scheme develop practical financial literacy, quantitative reasoning, and statistical analysis competencies. The curriculum builds mathematical precision through profit/loss and foreign exchange calculations, analytical thinking through central tendency evaluation and chart interpretation, and technical ICT skills through spreadsheet graphing. Practical mini-projects foster data collection skills, teamwork, creative presentation abilities, and critical thinking regarding gambling risks, preparing learners for responsible money management, citizenship, and commercial careers.

  Learning Experiences and Practical Activities

  Learning experiences prioritize practical, learner-centered activities. Learners role-play shopping scenarios with dummy money, prepare club budget proposals, calculate percentage discounts on price tags, and convert currency amounts using bank exchange tables. Practical statistical tasks include collecting environmental data on tally sheets, constructing frequency tables, computing mean/mode/median, drawing bar and line graphs, using protractors and compasses to construct pie charts, entering data into spreadsheet software to generate automated charts, and executing a group statistical mini-project. Probability activities involve tossing coins, rolling dice, drawing marbles from bags, constructing tree diagrams, and analyzing commercial lottery odds.

  Assessment Methods

  Formative and Practical Assessment: Diagnostic oral questions, group discussion observation, role-play evaluation, practical data collection checks, spreadsheet product rubrics, and probability experiment checks.

  Written and Computational Assessment: Calculation problem sets, table reading tasks, frequency table evaluations, graph drawing checks, pie chart angle calculation tests, written sub-strand revision quizzes, and reflection journal entries.

  Summative Assessment: Timed revision problem solving, a formal End-of-Term Written Essential Mathematics Examination in Week 9, project portfolio scoring, and script correction reviews.

  Learning Resources

  Textual and Instructional Materials: Grade 10 Essential Mathematics Curriculum Design (KICD 2025), sample budget sheets, price tags, receipts, bank currency exchange rate tables, financial case studies, newspaper chart cuttings, project guidelines, past examination papers, and official marking schemes.

  Mathematical and Geometrical Equipment: Scientific calculators, graph paper, rulers, protractors, compasses, colored pencils, data collection sheets, and probability scale charts.

  ICT and Experimental Gear: Computers/tablets with spreadsheet software (Excel/Google Sheets), coins, six-sided dice, playing cards, colored marbles, bags, and outcome tree charts.

• File Size:

  44.76 KB
• Length:

  43 pages
• Category:

  Schemes of Work
• Level:

  Grade 10
• Subject:

  ESSENTIAL MATHEMATICS
• Posted By:

  Caleb_Peter

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