Lesson Outcomes
After completing this practical lesson, learners will be able to:
- Convert numbers between decimal and binary number systems
- Express size and magnitude using scientific notation
- Convert between related measurement units
- Apply rational and irrational numbers
- Differentiate and apply PEDMAS and BODMAS
- Convert decimals to common fractions
- Apply scientific notation for small and large numbers
Overview
Basic calculations form an essential part of programming and computational thinking. Programmers regularly work with number systems, mathematical operations, measurements, conversions, and data representation when developing software applications and automation solutions.
This practical lesson introduces learners to number bases, measurement units, mathematical calculations, scientific notation, and problem-solving techniques used in programming environments. Learners will complete practical activities focused on calculations commonly used in software development and Robotic Process Automation (RPA).
Scenario: Number Systems and Programming Calculations
A software development team is building an automation solution that processes numerical data from different systems. The system must support binary calculations, measurement conversions, mathematical operations, and scientific notation to process data accurately.
Learners are required to perform practical activities involving number systems and calculations used in programming environments.
PA0101 — Convert Numbers Between Decimal and Binary Number Systems
Binary numbers are commonly used in computing systems and programming environments.
Tools/Resources
- Calculator
- IDE or coding environment
- Notebook
- Browser
Activity Instructions
- Convert the decimal number 16 into binary.
- Perform binary addition and subtraction operations.
- Verify the calculations manually.
- Record all conversion steps clearly.
- Save all completed calculations.
Expected Outcome
Decimal numbers are converted correctly into binary format and binary operations are completed accurately.
Evidence Required
- Screenshot of binary conversion calculations
- Screenshot of completed binary operations
- Written explanation of conversion process
PA0102 — Express Size and Magnitude
Programming and computing environments often use scientific notation and magnitude conversions.
Tools/Resources
- Calculator
- Scientific notation reference table
- IDE or spreadsheet software
Activity Instructions
- Convert from Giga (10¹²) to Pica (10⁻¹²).
- Calculate the magnitude difference.
- Record all calculations clearly.
- Verify answers using a calculator.
Expected Outcome
Magnitude differences and scientific notation calculations are completed correctly.
Evidence Required
- Screenshot of calculations
- Screenshot of scientific notation results
PA0103 — Convert Between Related Measurement Units
Programmers and technical professionals often work with different measurement systems.
Tools/Resources
- Calculator
- Conversion chart
- Spreadsheet software
Activity Instructions
- Convert meters into feet.
- Convert additional metric values into imperial units.
- Verify all conversion calculations.
- Record all results clearly.
Expected Outcome
Measurement conversions between systems are completed accurately.
Evidence Required
- Screenshot of conversion calculations
- Screenshot of completed results
PA0104 — Apply Rational and Irrational Numbers
Programming calculations may involve both rational and irrational numbers.
Tools/Resources
- Calculator
- Mathematics reference material
- Notebook
Activity Instructions
- Identify rational numbers from a provided list.
- Identify irrational numbers from a provided list.
- Solve equations involving rational and irrational numbers.
- Record all answers clearly.
Expected Outcome
Rational and irrational numbers are identified and applied correctly.
Evidence Required
- Screenshot of solved equations
- Written identification of rational and irrational numbers
PA0105 — Differentiate and Apply PEDMAS and BODMAS
Programming calculations require correct order of operations.
Tools/Resources
- Calculator
- IDE or coding environment
- Mathematics worksheets
Activity Instructions
- Evaluate expressions using PEDMAS/BODMAS.
- Simplify complex mathematical expressions.
- Verify calculations step-by-step.
- Record final answers clearly.
Expected Outcome
Expressions are solved correctly using the correct order of operations.
Evidence Required
- Screenshot of completed calculations
- Written breakdown of steps followed
PA0106 — Use Decimals and Convert Them to Common Fraction Form
Decimals and fractions are commonly used in calculations and data processing.
Tools/Resources
- Calculator
- Notebook
- Spreadsheet software
Activity Instructions
- Convert 0.75 into a common fraction.
- Perform operations involving decimals and fractions.
- Simplify fractions where required.
- Record all calculations.
Expected Outcome
Decimals are converted correctly into fractions and operations are completed accurately.
Evidence Required
- Screenshot of fraction conversions
- Screenshot of completed calculations
PA0107 — Apply Scientific Notation for Small and Large Numbers
Scientific notation is used to represent extremely large or small values efficiently.
Tools/Resources
- Scientific calculator
- Spreadsheet software
- IDE
Activity Instructions
- Express 500,000 using scientific notation.
- Convert additional values into scientific notation.
- Verify calculations.
- Record all answers clearly.
Expected Outcome
Numbers are expressed correctly using scientific notation.
Evidence Required
- Screenshot of scientific notation calculations
- Screenshot of completed results