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JSS 1 Mathematics Scheme of Work for Second Term

Adesina Olalekan
JSS 1 Mathematics Scheme of Work for Second Term

This educational guide is crafted to help students and educators navigate the second term of JSS 1 mathematics. It covers essential topics in a simple and detailed manner, with clear examples to demonstrate each concept.

Second Term Scheme of Work for JSS 1

Week(s) Topic(s) Content
Week 1 Revision Review previous concepts and solidify foundational knowledge.
Week 2 Estimation Learn how to estimate numbers and apply rounding techniques.
Week 3 Approximation Understand different methods of approximation, including rounding off.
Week 4 Approximation (continued) Explore more complex forms of approximation with practical applications.
Week 5 Addition and Subtraction of Numbers in Base 2 Numerals Learn about binary numbers and how to add and subtract in base 2.
Week 6 Multiplication of Numbers in Base 2 Numerals Introduction to binary multiplication and how to perform it.
Week 7 Use of Symbols Explore mathematical symbols and their meanings in equations.
Week 8 Simplification of Algebraic Expressions Understand how to simplify complex algebraic expressions.
Week 9 Simple Equations Learn how to solve simple algebraic equations.
Week 10 Revision Review all topics covered during the second term to reinforce understanding.
Week 11 Exam Assess knowledge and understanding through a final exam.

In-Depth Explanation of Each Topic with Examples

Week 1: Revision

Before diving into new topics, it’s important to revisit the concepts learned in the previous term. This solidifies understanding and prepares students for new challenges.

Examples:

  1. Review the addition of two-digit numbers: 23 + 45 = 68.
  2. Practice subtraction: 84 – 56 = 28.
  3. Multiply numbers: 6 × 7 = 42.
  4. Practice division: 56 ÷ 8 = 7.
  5. Simplify expressions: 5 + (3 + 2) = 5 + 5 = 10.
  6. Solve basic equations: x + 6 = 12; x = 12 – 6 = 6.

Week 2: Estimation

Estimation is the process of approximating a value that’s close to the exact number but easier to calculate.

Examples:

  1. Estimate 347 to the nearest hundred: 347 ≈ 300.
  2. Estimate 438 to the nearest ten: 438 ≈ 440.
  3. Estimate 1,862 to the nearest thousand: 1,862 ≈ 2,000.
  4. Estimate the sum of 548 and 637 to the nearest hundred: 548 + 637 ≈ 500 + 600 = 1,100.
  5. Estimate the difference between 2,976 and 1,682 to the nearest hundred: 2,976 – 1,682 ≈ 3,000 – 1,700 = 1,300.
  6. Estimate 743 ÷ 4: Round 743 to 740, then 740 ÷ 4 ≈ 185.

Week 3: Approximation

Approximation involves rounding numbers to a specific place value, usually to simplify calculations.

Examples:

  1. Round 123.46 to the nearest whole number: 123.46 ≈ 123.
  2. Round 0.879 to the nearest hundredth: 0.879 ≈ 0.88.
  3. Round 91.57 to the nearest ten: 91.57 ≈ 90.
  4. Approximate the sum of 543.89 + 238.15 to the nearest tenth: 543.89 + 238.15 ≈ 544 + 238 = 782.
  5. Approximate 5.987 to the nearest hundredth: 5.987 ≈ 5.99.
  6. Round 9,871.99 to the nearest thousand: 9,871.99 ≈ 10,000.

Week 4: Approximation (continued)

Continue applying approximation with more complex examples and practical scenarios.

Examples:

  1. Round 8.457 to the nearest tenth: 8.457 ≈ 8.5.
  2. Round 67,845 to the nearest hundred: 67,845 ≈ 67,800.
  3. Approximate the product of 62.4 × 3.7: 62.4 × 3.7 ≈ 60 × 4 = 240.
  4. Approximate the sum of 672.88 + 238.94: 672.88 + 238.94 ≈ 670 + 240 = 910.
  5. Round 9,456 to the nearest ten: 9,456 ≈ 9,460.
  6. Round 13.66 to the nearest whole number: 13.66 ≈ 14.

Week 5: Addition and Subtraction of Numbers in Base 2 Numerals

Binary numbers are used in computer systems. In this week, students will learn to add and subtract binary numbers.

Examples:

  1. Add binary numbers: 101 + 110 = 1011 (5 + 6 = 11).
  2. Subtract binary numbers: 1010 – 110 = 100 (10 – 6 = 4).
  3. Convert binary 1101 to decimal: 1101₂ = 1×8 + 1×4 + 0×2 + 1×1 = 13.
  4. Convert binary 1010 to decimal: 1010₂ = 1×8 + 0×4 + 1×2 + 0×1 = 10.
  5. Add binary numbers: 111 + 101 = 1100 (7 + 5 = 12).
  6. Subtract binary numbers: 10011 – 1011 = 1110 (19 – 11 = 8).

Week 6: Multiplication of Numbers in Base 2 Numerals

Multiplying binary numbers is fundamental to understanding how computers work.

Examples:

  1. Multiply binary numbers: 101 × 11 = 1111 (5 × 3 = 15).
  2. Multiply binary numbers: 110 × 10 = 1100 (6 × 2 = 12).
  3. Multiply binary numbers: 1010 × 100 = 101000 (10 × 4 = 40).
  4. Multiply binary numbers: 111 × 101 = 11111 (7 × 5 = 35).
  5. Multiply binary numbers: 1101 × 101 = 111101 (13 × 5 = 65).
  6. Multiply binary numbers: 1000 × 11 = 11000 (8 × 3 = 24).

Week 7: Use of Symbols

Mathematical symbols are used to represent operations and relationships between numbers and variables.

Examples:

  1. Use of “+” (addition): 5 + 3 = 8.
  2. Use of “-” (subtraction): 8 – 3 = 5.
  3. Use of “=” (equals): 2 + 2 = 4.
  4. Use of “×” (multiplication): 6 × 4 = 24.
  5. Use of “÷” (division): 20 ÷ 5 = 4.
  6. Use of parentheses: (3 + 2) × 4 = 20.

Week 8: Simplification of Algebraic Expressions

Simplifying algebraic expressions helps solve equations more easily.

Examples:

  1. Simplify 2x + 3x: 2x + 3x = 5x.
  2. Simplify 5 + 3 + 2: 5 + 3 + 2 = 10.
  3. Simplify 4a – 2a: 4a – 2a = 2a.
  4. Simplify 7x + 3y – 2x: 7x + 3y – 2x = 5x + 3y.
  5. Simplify 3(x + 4): 3(x + 4) = 3x + 12.
  6. Simplify 6a – 2a + 5b: 6a – 2a + 5b = 4a + 5b.

Week 9: Simple Equations

Solving simple equations is crucial for progressing in algebra.

Examples:

  1. Solve x + 5 = 12: x = 12 – 5 = 7.
  2. Solve 2x = 10: x = 10 ÷ 2 = 5.
  3. Solve 3x – 4 = 11: 3x = 11 + 4 = 15, x = 15 ÷ 3 = 5.
  4. Solve x/4 = 2: x = 2 × 4 = 8.
  5. Solve 2x + 3 = 9: 2x = 9 – 3 = 6, x = 6 ÷ 2 = 3.
  6. Solve 5x – 2 = 18: 5x = 18 + 2 = 20, x = 20 ÷ 5 = 4.

Week 10: Revision

This week serves as a review to reinforce all concepts learned in the term.

Examples:

  1. Practice addition and subtraction of large numbers.
  2. Review multiplication and division of binary numbers.
  3. Simplify algebraic expressions and solve equations.
  4. Estimate and approximate numbers in various scenarios.
  5. Review solving for variables in simple equations.
  6. Practice applying symbols in equations.

Week 11: Exam

The final week is dedicated to assessing the students’ understanding through an exam that covers all topics.

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