Basic Mathematics I

Building Technology · Level 6  ·  4 Chapters

Compiled by: Wambui Muriuki

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What Basic Mathematics I covers

From unit conversions to charts, Basic Mathematics I in Building Technology Level 6 works through mensuration, arithmetic, algebra and statistics. Converting units and finding perimeters, areas, volumes and surface areas of solids sits alongside the area of irregular figures. Whole numbers, simple fractions, decimals, percentages, place value, rounding off and standard form make up the arithmetic work, and proportions and ranges are included. Algebra brings indices and logarithms, linear and simultaneous equations and the scientific calculator. The unit finishes by organizing data into frequency tables, finding mean, mode and median and interpreting charts.

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Careers after Basic Mathematics I

Building technology is a hands-on field, and the math you master here becomes the toolbox you carry to every site, workshop, or project you’ll ever work on.

  • Estimating material quantities - When a contractor in Nairobi’s high-rise districts needs to know how many cement bags, steel rods or tiles are required for a floor, you’ll convert units (kg ↔ tonne, m³ ↔ litres) and calculate areas, perimeters and volumes to produce accurate bills of quantities.
  • Designing and sizing structures - In a road-building crew in the Rift Valley, you’ll use surface-area and volume formulas to size drainage culverts, determine the amount of earthwork, and ensure safety margins are met.
  • Cost budgeting and price quoting - Small-scale builders in Kiambu or Thika will rely on your ability to work with percentages, proportions and decimal forms to break down project costs, apply tax rates, and present clear quotations to clients.
  • Surveying irregular plots - Land-survey teams in Nakuru County often encounter oddly shaped sites; your skill in measuring irregular figures lets you produce reliable land-area reports for title deeds or subdivision plans.
  • Preparing technical drawings and specifications - Drafting assistants in construction firms around Mombasa use linear equations and indices to scale drawings, calculate load-bearing capacities, and verify that design dimensions meet code requirements.
  • Using scientific calculators on-site - Whether you’re a site supervisor in Eldoret or a self-employed mason in Machakos, a quick, accurate calculator helps you solve geometry problems, convert units, and check measurements without error.
  • Analyzing project data - Project managers in county housing schemes collect daily progress numbers; you’ll organize grouped and ungrouped data, create frequency tables, compute medians, and plot charts to monitor productivity and spot delays.
  • Running a small building-materials shop - If you set up a hardware store in a peri-urban market, you’ll apply rounding, place-value, and percentage calculations to price items, manage inventory, and calculate profit margins.
  • Quality-control testing - In concrete-mixing plants around the central region, you’ll use proportions and indices to ensure mix ratios meet strength specifications, safeguarding structural integrity.
  • Entrepreneurial projects - From constructing prefabricated housing units in Thika to offering renovation services in Westlands, your algebraic and arithmetic skills let you draft contracts, estimate labor hours, and present clear, trustworthy proposals to clients.

Mastering these math skills turns numbers into confidence on the job and opens doors to both salaried positions and your own thriving construction-related business. Keep practicing - every calculation you perfect brings you one step closer to building Kenya’s future.

Chapters

What Basic Mathematics I covers: 27 main topics in 4 chapters

1. Carry out basic Mensuration

  1. 1.1 Units of measurement
  2. 1.2 Conversion of units
  3. 1.3 Perimeters and areas
  4. 1.4 Volume and Surface area of solids
  5. 1.5 Area of irregular figures

2. Apply basic arithmetic

  1. 2.1 Whole numbers
  2. 2.2 Simple fractions
  3. 2.3 Decimals
  4. 2.4 Percentage
  5. 2.5 Place value
  6. 2.6 Ranges
  7. 2.7 Rounding off
  8. 2.8 Arithmetic Percentages and Proportions
  9. 2.9 Decimals
  10. 2.10 Standard forms

3. Apply basic Algebra

  1. 3.1 Indices and logarithms
  2. 3.2 Linear equations
  3. 3.3 Use of a calculator to solving problems
  4. 3.4 Simultaneous equations
  5. 3.5 Simple algebraic equations
  6. 3.6 Form of simple algebraic equations

4. Apply basic Statistics

  1. 4.1 Identification of grouped and ungrouped data
  2. 4.2 Ungrouped data organization
  3. 4.3 Frequency table data representation
  4. 4.4 Mean, Mode and Median of grouped and ungrouped data
  5. 4.5 Charts
  6. 4.6 Chart data interpretation

Revise this unit

3 more for this unit

Beyond the syllabus

Other units in Module III