Lesson Notes By Weeks and Term v3 - Senior Secondary 1

Computing devices 1 (Precomputer age to 19th century

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Subject: Computer & IT

Class: Senior Secondary 1

Term: 3rd Term

Week: 1

Theme: Computer Evolution

Lesson Video

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Performance objectives

Lesson summary

Students should beable to:State featuresof each of the pre- computerage to 19thcenturycomputingdevices List the ircomponents State the ir uses

Lesson notes

Description: The abacus is arguably the earliest known calculating device, with origins tracing back thousands of years across various ancient civilizations (Mesopotamian, Chinese, Roman, Japanese).

Features: A manual, non-electronic device. Consists of beads that slide on rods or grooves. Each rod represents a place value (units, tens, hundreds, etc.). Operations are performed by manipulating the beads according to specific rules.

Components: Frame: The outer structure holding the rods.

Rods/Wires: Vertical elements on which the beads slide.

Beads: Small, movable objects on the rods.

Dividing Bar: A horizontal bar that separates the beads into upper and lower decks (common in Chinese and Japanese abacus types).

Uses: Basic arithmetic operations: addition, subtraction, multiplication, and division.

More advanced calculations: square roots and cube roots (for skilled users). Still used today in some cultures for teaching arithmetic and in certain commercial settings.

Inventor: John Napier (Scottish mathematician),

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7. Description: A manual calculating tool based on lattice multiplication, designed to simplify multiplication and division.

Features: Consists of a set of rods (often made of wood, bone, or metal). Each rod is marked with multiples of a single digit (0-9). The results of multiplication are obtained by reading off numbers from aligned rods and summing diagonal values.

Components: Ten numbered rods: One for each digit from 0 to 9, marked with multiples.

An index rod: A fixed rod with the digits 1-9 used for aligning with the multiplicand.

Uses: Primarily for multiplication and division of large numbers. Also used for finding square roots. Served as a predecessor to the slide rule.

Inventor: Blaise Pascal (French mathematician and philosopher),

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2. Description: The first mechanical calculator capable of performing addition and subtraction directly. Pascal invented it to assist his father, a tax commissioner, with tedious calculations.

Features: A mechanical device operated by rotating dials. It used a system of gears and ratchets for carrying digits (tens carry mechanism). Limited to addition and subtraction directly; multiplication and division required repeated additions/subtractions. Results were displayed in indicator windows.

Components: Toothed Wheels (Gears): Each wheel represented a digit place value (units, tens, hundreds).

Dials: Input mechanisms for numbers.

Display Windows: For showing the calculated result.

Carrying Mechanism: Automatically transferred tens from one digit place to the next.

Uses: Addition and subtraction of numbers. Originally designed for currency calculations (French livres, sous, and deniers), which had a non-decimal system.

Inventor: Gottfried Wilhelm Leibnitz (German mathematician), 1673 (though fully functional models were developed later in the 18th century).

Description: An improvement on the Pascaline, this mechanical calculator could perform all four basic arithmetic operations (addition, subtraction, multiplication, and division) directly.

Features: Employed a unique component called the "Leibnitz wheel" or "stepped drum," which had a variable number of teeth (9 different lengths of teeth). Mechanical device, hand-cranked. Could handle larger numbers than Pascaline.

Components: Leibnitz Wheel (Stepped Drum): A cylinder with nine teeth of varying lengths, used to implement multiplication by repeated addition.

Gears and Dials: Similar to Pascaline but more complex.

Hand Crank: Used to operate the machine.

Uses: Direct addition, subtraction, multiplication, and division. First machine to allow direct multiplication by repeated addition using a single input mechanism.

Real-life applications

Census and Data Management (Hollerith Machine): The Hollerith Machine's application in the 1890 US Census can be directly related to the operations of the National Population Commission (NPC) in Nigeria. The NPC conducts national censuses and gathers vital statistics. Historically, this was a massive manual undertaking. Hollerith's invention highlighted the need for efficient large-scale data processing, which modern Nigerian institutions now achieve with electronic computers. Teachers can discuss how the challenges faced by the US Census Bureau over a century ago are similar to those Nigeria faces today, emphasizing the importance of technology in national planning. Automation and Industrial Design (Jacquard Loom): The Jacquard Loom's use of punched cards to automate complex weaving patterns revolutionized the textile industry. This can be linked to the concept of automation in Nigerian manufacturing and local craft industries. For instance, modern Nigerian textile mills (e.g., Kaduna Textiles, Aba Textile Mills) use automated looms for mass production. Even in traditional crafts like adire (tie-dye) or aso-oke weaving, while mostly manual, the underlying concept of repeatable patterns and processes, or even the potential for digitizing traditional patterns, resonates with the Jacquard Loom's innovation. Fundamental Arithmetic Skills and Education (Abacus): The abacus, despite its ancient origin, remains a valuable tool. In Nigeria, while not widely used commercially now, understanding it reinforces basic number sense and mental arithmetic skills, which are essential for students and small business owners in local markets. Some schools or learning centres still use the abacus to teach children numerical concepts. Teachers can integrate discussions about how market traders often perform complex calculations mentally, which has roots in practices like using an abacus or simple tally systems. ---

Teacher activity

Evaluation guide

Reference guide