Chapter 1 Numbers IGCSE- part 2
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This document contains a syllabus for a mathematics course covering topics like fractions, decimals, percentages, order of operations, estimation, rounding, standard form, and limits of accuracy. It includes 13 lessons that progress from simple concepts like fractions to more advanced topics like standard form, order of operations, and upper and lower bounds. Each lesson provides examples and practice problems for students to work through.
Chapter 1 Numbers IGCSE- part 2
- 1. SYLLABUS Cambridge IGCSE Mathematics 0580 Part 2 For examination in June and November 2017 and 2018 SALWA KAMEL Operation Management Master in Education Qualification in Mathematics From Cambridge University 18 years Experience in Academic Field Certified Quality Consultant # 1116 Email Address: S.teachingonline@gmail.com Website www.S-teachingonline.com Facebook S-teaching online Center Mobile: 00966542464004
- 2. Lesson (1.5) Use the language and notation of 1- simple vulgar and decimal fractions 2- percentages in appropriate contexts. 3- Recognize equivalence and convert between these forms. 4- Includes the conversion of recurring decimals to fractions, e.g. change 0.7 Which fraction is proper, vulgar fraction and mixed fraction a) 7/8 b) 2/3 c) 6 ⅜
- 3. A) What is a decimal fractions? 2. 5 B) 1.23 means? C) Change the fraction into decimal fraction 5/6? 1/3? 3/11? D) change from decimal to fraction 0.49? , 0.9? 5) change from fraction to % 2/3? , 5/11? 6) change from decimal to % 0.45? , 0.5? 7) change from % to fraction and decimal: 36% 9%?
- 4. Arrange in order size (the smallest first) a) 1/ 2 , 0.25 , 30% b) 0.06 , 0.166, 0.66 c) ¾ , 0.166 , 0.66 4- Includes the conversion of recurring decimals to fractions, e.g. change 0.7
- 5. Lesson (1.6) Order quantities by magnitude and demonstrate familiarity with the symbols =, ≠, ≥, ≤, >, <. When comparing quantities , all should be of the same unit. a) Arrange in increasing order 8/17 , √1/4 , 0.48 b) Compare between 2/3 , 7/12 c) Arrange starting with smallest: 7/11, 5/8, ½, 11/16, ¾ d) Compare the longest distance first 1.95m, 2.5m, 2.03m, 1.91m, 0.69m, 2.17m
- 6. Lesson (1.6) Order quantities by magnitude and demonstrate familiarity with the symbols =, ≠, ≥, ≤, >, <. When comparing quantities , all should be of the same unit. a) Arrange in increasing order 8/17 , √1/4 , 0.48 b)Compare between 2/3 , 7/12
- 7. Lesson (1.7) 1- Understand the meaning and rules of indices. 2- Use the standard form A × 10n where n is a positive or negative integer, and (1≤ A < 10). 3- Convert numbers into and out of standard form. 4- Calculate with values in standard form. Evaluate: a) 7-2 b) 1001/2 c) 8-2/3 d) 51/2
- 8. Write in standard form the following: 3100 7200 Find: (2.4 x 104) X (5 x 105) = Arrange in descending order 3.6x10-3 , 5.2x10-5, 1x10-2, 8.35x10-2
- 9. Lesson (1.8) Use the four rules for calculations with 1- whole numbers, 2- decimals and vulgar (and mixed) fractions, 3- including correct ordering of operations and use of brackets Order of operation B D M A S
- 10. Lesson (1.9) Make Estimates of numbers, quantities and lengths, give approximations to specified numbers of significant figures and decimal places and Round off answers to reasonable accuracy in the context of a given problem.
- 11. Round off Write the number 23643 nearest to 10, 100, 1000 33.5602 nearest to 1d.p, 2d.p, 3d.p
- 12. Round off Round off the following: 1. 528 g to nearest 10 g 2. 31.75 cm to nearest cm 3. 1.26 k.g to nearest .01 kg 4. 5.01 to nearest tenth
- 13. Significant Figures Write the number 3529 nearest to 1 S.F. = 2 S.F.= 3 S.F.= 30.06052 correct to 1 S.F. = 2 S.F.= 3 S.F.=
- 14. Significant Figures Notice Zero: 403 40.7 0.000407 0.408 0.003824 correct to 1 S.F = 3.0057 correct 4 S.F. =
- 15. Estimates By writing each number in the calculation correct to 2 S.F. estimate the value of: 478 X 49.82 0.1248
- 16. Lesson (1.10) Give appropriate upper and lower bounds for data given to a specified accuracy. Obtain appropriate upper and lower bounds to solutions of simple problems given data to a specified accuracy.
- 17. Limits of Accuracy If the length of square is 4 cm nearest to meter. Find the limit of this length? If L = 4.3 m to nearest 0.1 m L = 4.30 m to nearest cm Height = 240 m to nearest 10 m Radius = 65 cm to nearest 5 cm
- 18. Limits of Accuracy Given diameter of a circle equal 8.6 cm to nearest 0.1cm. Find the limits of accuracy of the radius. Given a rectangle measured to the nearest meter as length 8 cm and width 5 cm then the limits of the length L is 7.5 ≤ L < 8.5 and Width 4.5 ≤ L < 5.5 Find the limits of its perimeter P and limits of its area A?
- 19. Limits of Accuracy A girl’s height is given as 162 cm to the nearest cm. 1- work out the lower and upper bounds within her height lie? 2- Represent this range of numbers on number line. 3- If the girl’s height is x cm, express this range as an inequality?
- 20. Upper and Lower bounds Rules Mulitip. Upper= Upper x Upper Lower = Lower x Lower If 7 ≤ x < 8 5 ≤ Y < 4 Then upper x . y = lower x . Y = Division: Lower = Lower/upper Upper = upper / lower
- 21. Upper and Lower bounds Rules Calculate the upper and lower bound to 33.5/22.0 given that each of numbers is accurate to 1 d.p?
- 22. Upper and Lower bounds Rules Add: L = L + L U = U + U Sub. L = L – U U = U - L
- 23. Upper and Lower bounds Rules Absolute error of measurement: It is the difference between the measured value of quantity and its true value. The measurements of a rectangle are given as 4.6 cm and 2.8cm, correct to the nearest 0.1cm. Find the greatest and least possible values of the area of the rectangle and the largest possible error in area?
- 24. Upper and Lower bounds Rules Absolute error of measurement: H.W The measurement of rectangle are given as 5.6 cm and 4.8 cm, correct to the nearest tenth cm. find the greatest and the smallest possible areas of the rectangle?
- 25. Lesson (1.13) Use a calculator efficiently. Apply appropriate checks of accuracy.