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IGCSE Mathematics : Number : Operations On Integers, Fractions, Decimals, And Percentages.

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Published in: Mathematics | Maths
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9/10 Years: Cambridge IGCSE Mathematics Syllabus (Code 0580) Number: Operations on Integers, Fractions, Decimals, and Percentages. Objective: Students will understand and apply the four operations (addition, subtraction, multiplication, and division) to integers, fractions, decimals, and percentages. Lesson Plan (80 Minutes): 9.10am-10.30 am

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  1. Cambridge IGCSE Mathematics Syllabus (Code 0580) 1. Number 1.1. Operations on Integers, Fractions, Decimals, and Percentages. Objective: Students will understand and apply the four operations (addition, subtraction, multiplication, and division) to integers, fractions, decimals, and percentages. Lesson Plan (80 Minutes): 9.10am-10.30 am 8/20/2024
  2. Introduction Goals of the lesson: to practice and master operations on different types of numbers. Review each type of number 1. 2. 1. 2. Integers : whole number (not a fractional number) that can be positive, negative, or zero.), Ex- 12,10,-45, O Fractions: a part of a whole. Ex- 1/2, 10/25, 1/3 Decimals: -4.6+3.751 Percentages: 250/0+150/0 1
  3. Operations on Integers (15 minutes) Concept Review : • Addition/Subtraction: Combine values and apply sign rules. Example: (—5) + 8 = 3 and 7 — (—3) = 10. Multiplication/Division: I-Jse sign rules and multiply/divide absolute values. Example: (—4) x 6 = —24 and —24 +4 = —6. • Exercise: Addition/Subtraction: (—7) + 12, 15 - (-8) • x 30 (-6) • Multiplication/Division.
  4. Operations on Integers (15 minutes) Guided Practice: • Solve together: • (-7)+ 12 8) 15 — (-5) 30 + (-6) Independent Practice: Students complete additional problems: (—9) + 14 22 - (-11) • -56+ (-7)
  5. Operations on Fractions(20 minutes) Concept Review: Addition/Subtraction: Find a common denominator. . Example: å + 5 Multiplication/Division: Multiply numerators and denominators; invert • for division. • Example: x 4 Exercise: Addition/Subtraction: Wtiplication/Division: 3. 3 x 15 .3
  6. Operations on Fractions(20 minutes) Guided Practice: Solve together: 2. Fractions Addition/Subtaction: 12 WtipIication/Division: 10
  7. Operations on Fractions(20 minutes) Independent Practice: Students complete additional problems:
  8. • • Operations on Decimals (20 minutes) Concept Review: , . -2.35 Addition/Subtraction: Align decimal points. Example: 3.75 + 1.6 = 5.35 Multiplication/Division: Count decimal places and adjust frie decimal point, Example: 2.5 x 3.4 8.5 and 9.6 + 1.2 8 Exercise : Addition/Subtraction: 4.68 + 3.12 7 9 • Multiplication/Division: 1.25 x 42 8 4 . +2.4
  9. Operations on Decimals (20 minutes) Guided Practice: Solve togefrler: • 7.9 - 2.35 1.25 x 3. Decimals Addition/Sutfraction: 5.47 + 2.35 8.64 - 3.79 Multiplication@ivision: 3.6 x 2.5 7.2 + 1.8
  10. Operations on Decimals (20 minutes) Independent Practice: Students complete additional problems: • 5.47+ 2.35 • 8.64 - 3.79 • 3.6 x 2.5 • 7.2+1.8
  11. Operations on Percentages (20 minutes) • • Concept Review: Addition/Subtraction: Convert to fractions/decimals if needed. Example: 25%4- 10% 35% Multiplication/Division: Convert percentages to decimals. Example: 20% x 150 = 30 and 60 + 25% = 240 Exercise: Addition/Subtraction: 45% + 12%, 70% Multiplication/Division: 15% x 200, 180 - 15%
  12. Operations on Percentages (20 minutes) Guided Practice: • Solve together: • + 12% • 70%- 15% • x 200 • 240 30 4. Percentages Addition/Subb-action: Multiplication@ivision: • 12% x 350
  13. Operations on Percentages (20 minutes) Independent Practice: • Students complete additional problems: • x 350
  14. Operations on Integers: Exercises HOME WORK Addition Subtraction Multiplication Division 1. 2. 3. 4. 5. (-5) + 12 14 O 6. 7. 8. 9. 10. 9) (-12) 18 - 25 11. 12. 13. 14. 15. ox 15 16. 17. 18. 19. 20. (-20) 4 36 (—6) 45) + (—9) (—56) 8
  15. Operations on Integers: Exercises HOME WORK Addition and Subtraction (—14) + 19 — Wtiplication and Division 2. 3. 4. 5. 22 - (15 - 8) (—18) + ( - 11] 6. 7. 8. 9. 10. 12+ x 5 45 + x (—72) : — X 2+6
  16. Addition Operations on Integers: Exercises HOME WORK: ANSWERS — 24 Multiplication 1. 2. 3. (—5) + 12=7 + (—6) —14 14 (—15) + 23 11. 12. 13. 14. 15. 7 x = —21 (—5) x (—9) = 45 ox 15=0 (—8) x (—2) = 16 Stbtraction Division 6. 7. 8. 9. 10. 10- = 10+4=14 -12 _ 15 (-12) - ( = 12 + — 18 - 25 16. 17. 18. 19. 20. (-20) +4— 36 + (-6) = -6 (-45) + (-9) —5 (-56) -2 s
  17. Addition and Subtraction 1. (-14) + 19 - (-3) (—14) + 19+3 2. 22- (15-8) 22 — 7 — 15 3. ( 18) 4- (—12) +7 • -18-12+7—-23 5. + 7 — [(—6) — 11] . +7 — (—17) . —9+7+17 Operations on Integers: Exercises HOME WORK: ANSWERS ( 3) —15 —24 = 15 Yftlltiplication md Division 6. 7 9 tiply: —3 x 4 — -12 -12 x —24 tiply: Answer: 24 12+ x 5 Divide: 12 — Mutiply: —4 x 5 . 45. (-5) x Multiply: (—5) x Divide. 45-3 15 —3 Answer: 3 10. -20 ( 72) ( — X 2 Divide (—72) Multiply: s x 16 = 22 Answer : Mutipy. Div de: 24

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