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Trường THCS Sông Lô Teaching date: Chapter I - RATIONAL NUMBERS REAL NUMBERS Period PRACTICE THE SET OF RATIONAL NUMBERS Q I-Objectives: - Knowlegde: Students understand concept rational numbers, know how to perform and understand the relationship between the sets N ⊂ Z ⊂ Q - Skill: know how to present rational numbers on a number line - Attitude: training thinking skills for students II- Preparations: 1/ Teacher: Text book, lesson plan, 2/ Students: Textbooks, notebooks, reference books III- Procedures: 1/ Class organization: - Greeting - Checking attendance 2/ Warm-up: Present the following numbers on the number lines: T: requests Ss go to the board T: corrects the results 3/ Practice: Teacher’ and Students’ activities Contents Comparison of two rational numbers: T:How to compare two rational numbers ? -Eg: request Ss reading text book T: How is the negative,positive rational numbers ? a) Eg: compare -0,4 vs − b) The way of comparison Write the rational number into the same denominator - T :requests Ss to compare -1,5 and Consolidation: - T: requests st ex 2(7), st yourself - T: requests st ex (7): + Convert to the same denominator - Ex: Compare the following rational numbers by the fastest way And represent the numbers on the number lines: GA: Tự chọn Tốn Trang: Trường THCS Sơng Lô 5.Homework: - Do ex: 5; 6; ; (P8-workbook) −1 1 −1 0⇒ > 1000 - Guide : Ex8: a) and 1000 − 181818 − 18 = 31 d) 313131 Teaching date: Period PRACTICE ADDITION AND SUBTRACTION OF RATIONAL NUMBERS I-Objectives: - Knowlegde: Students understand the rule of adding and subtracting rational numbers, and the rule of “ side moving” in the set of rational numbers - Skill: add and subtrcact rational numbers quickly and correctly - Attitude: have skill applying the rule of “ side moving” II- Preparations: 1/ Teacher: Text book, lesson plan, 2/ Students: Textbooks, notebooks, reference books III- Procedures: 1/ Class organization: - Greeting - Checking attendance 2/ Warm-up: St 1: present the rule of adding and subtracting fractions which you learnt ingrade ( the same denominators) St 2: present the rule of adding and subtracting fractions which you learnt ingrade ( different denominators) St 3: present the rule of “ side moving” 3/ Practice: Teacher’ and Students’ activities −3 Exercise: x= 2,5, y = Contents Adding and Subtracting Rational Numbers a) Rule: Calculate : 2x + 3y; x - 2y a b - T comment: ;y= m T: Write rational numbers into fractions x= m with positive denominators ? GA: Tự chọn Toán Trang: Trường THCS Sông Lô T: Apply properties of operations in Z T: requests Sts go to the board T: requests sts to comment T: requests Sts to exercise 8d T: presents the rule of “ side moving” which Sts learnt in grade ⇒ grade a b a+b + = m m m a b a −b x− y= − = m m m x+ y= b)Eg: Calculate 3 1 − − − + 8 2 3 = −− − − 8 = + + + T : Requests Sts to show how to find x The Rule of “ Side Moving” T: requests Sts go to the board doing a) The Rule (Textbook) 9c: x + y =z ⇒ x=z-y 9c) Find x, given that : −x=− Note: + =x =− − =x −x − c) Note (Textbook) Consolidation: - T requests Sts represent all basic knowledge in the lesson - Do exercise 9a, b, d Homework: - Exercises 6c, 2b; 8c,d; 9c,d; Guide Ex 10: calculate correctly! Teaching date: Period PRACTICE ABSOLUTE VALUE OF RATIONAL NUMBERS GA: Tự chọn Tốn Trang: Trường THCS Sơng Lô ADDITION, SUBTRACTION, MULTIPLICATION, DIVISION OF DECIMALS I-Objectives: - Knowlegde: Confirm the absolute value concept of the rational number - Skill: training skill compare rational numbers, compute expression value, find x - Attitude: develop students' thinking in the form of finding the maximum and minimum value of expression II- Preparations: 1/ Teacher: Text book, lesson plan, 2/ Students: Textbooks, notebooks, reference books III- Procedures: 1/ Class organization: - Greeting - Checking attendance 2/ Warm-up: * St 1: - Show the formula calculating the absolute value of the rational number x - Do exercise 24a,b-P7, workbook * St 2: - Do exercise 27a,c-P8, workbook 3/ Practice: Teacher’ and Students’ activities T: asks St to read request of exercise Contents Exercise 1: Fill in the blank a b) c) If x… then x = x If x … then x = T: asks St to read request of exercise If x … then x = − x T: If a = 1,5 find a Exercise 2: Find x, given that : T: requests Sts to in group Exercise and Exercise T: we can the same as integers GA: Tự chọn Tốn b) Exercise Trang: Trường THCS Sơng Lô a) (-25,13) + (-0,264) = -(25,13+0,264) = -25,394 b) (-48):(-24) = 48: 24= Exercise 4:Calculate: a) -23,116 + 20,263 = = -(23,116- 20,263) = -2,853 T: requests Sts to discuss in group b) (-3,7).(-2,16) = +( −3, −2,16 ) = 3,7.2,16 = 7,992 T: Which numbers whose absolute values are 20162016 ? → How many cases? T: Which numbers that minus equals 0? T: guiding how to use calculator for Sts Consolidation: - Sts repeat rules out brackets, absolute values, additing, subtracting, multiplying, dividing decimals Homework: - Eercises 28 (b,d); 30;31 (a,c); 33; 34 P.8; workbook - Review power of numbers Teaching date: Period PRACTICE POWER OF A RATIONAL NUMBER GA: Tự chọn Toán Trang: Trường THCS Sông Lô I-Objectives: - Knowlegde: confirm rules : multiplication and division of two powers with the same base , the power of power, the power of product and the power of quotient - Skill: having skill apply rules to calculate expression values, write in the form of power, compare powers, find unknown numbers - Attitude: training careful and correct personality for Sts, scientific resentations II- Preparations: 1/ Teacher: Text book, lesson plan, 2/ Students: Textbooks, notebooks, reference books III- Procedures: 1/ Class organization: - Greeting - Checking attendance 2/ Warm-up: Fill in the blank: m n x x = ( x m )n = xm : xn = ( x y ) n = n x = y 3/ Practice Teacher’ and Students’ activities T: requests all Sts to exercise T: requests all Sts to exercise T: How shoud we do? T: asks Sts go to the board Contents Exercise 1: Write the following results as power of rational numbers: a, 420 810 ; d, (0,125)3 512 ; b, 413 526 ; e, 920 : (0,375)40; c, 2715 : 910 Exercise 2: expression: A= C= GA: Tự chọn Toán Trang: Calculate ;B = the following ; ; D= ; E= Trường THCS Sông Lô T: requests all Sts to exercise ; F= Exercise 3: Calculate: a) (2-1 +3-1) :(2-1 -3-1)+(2-1.20):23 b) ; c) T: corrects the results ; T: requests all Sts to exercise 4, 5,6 T: guides part a d) ; e) (xy)-2 Sts discuss in group T: checks the groups f) Exercise 4: Find x ∈ N, given that: ; a, 2x.4 = 128 ; b, c, (2x – 3) = 343 ; d, (2x – 3)2 = 9; e, (x – 3)6 = (x – 3)7 ; g, x100 = x h) ; i) ; k) x+2 x+6 (x-1) = (x-1) Exercise 5: Find x ∈ N, given that: a) 72+x+2.7x-1 = 345 ; b) x+2x+3=288; c) 81-2x.27x = 95 d) e) ; f) Exercise 6: Find m, n ∈ N, given that: a) 2-1.2n+4.2n=9.25; b) 2m -2n=1984 GA: Tự chọn Tốn Trang: ; Trường THCS Sơng Lô c) e) ; d)2-1.2n+4.2n=9.25; ; f) ; g) Consolidation: x m x n = x m +n ( x m ) n = x m n x m : x n = x m −n ( x y ) n = x n y n n x xn = yn y Sts repeat all formulas: => + Note: When the power with negative base, if exponent is an even number , we obtain the result is positive number, and conversely Homework: - Review above exercises, and rules of power - Exercises 47; 48; 52; 57; 59 (P.11; 12- workbook) - Review the ratio of numbers x and y, define equivalent fractions - GA: Tự chọn Tốn Trang: Trường THCS Sơng Lơ Date of teaching: PERIOD 5: PRACTICE -THE PROPORTION I OBJECTIVES Knowledge: Students have to know definition of proportion,terms of proportion and properties of proportion Skill: stusents have skill written a proportion for each of divition, create as many as possible proportion from the following equalities or the following proportions, know find x in the following proportions Forged thinking capacity,calculated Education: carefully, precisely in learning for students II PREPARATIONS - Teacher: Straight ruler, protractor - Students: Straight ruler, protractor III PROCESS ORGANIZATION OF TEACHING Organize :………… Check your homeworks -Student 1: +) Speaking the definition of proportion, terms of proportion? (Proportion is the equality of two ratios = The proportion = is also writen as a:b =c:d In the proportion a:b =c:d: The numbers a,b,c,d are called terms of proportion The numbers a,d are called the extremes The numbers b,c are called the means.) -Student 2: +) Speaking the properties of proportion? (Properties1: If then ad=bc Properties 2: If ad = bc a,b,c,d # then we have the folowwing proportions: ; ; *)Conclusion: Thus, given a,b,c,d # 0, from one of five following equalities, we can deduce the others: ad = bc GA: Tự chọn Tốn Trang: Trường THCS Sơng Lô -Comment and give the point 3- New lesson: Teacher and student’s activities Teacher give new words Contents I.Vocabulary: 1.Proportion: Tỉ lệ thức 2.Equality : đẳng thức 3.Ratio : Tỉ số 4.Instance: Chẳng hạn 5.Terms of proportion: Số hạng tỉ lệ thức 6.Extremes: Số hạng 7.Means: Số hạng 8.The fundamental property :T/c Multiply: nhân 10 Product: tích 11 Divide: chia 12 Deduce: suy II Practice: T: What does exercies 44 ask? Ex 44(textbook-page 26) Replace the following ratios of two rational numbers by the ratios of two natural numbers T: How you do? S: Divition rational numbers T guides S a) 2S go to the boart b,c a 1,2 : 3,24 = b T: What does exercies 45 ask? c Ex 45(textbook-page 26) Find the equivalent ratios in the following divisions,then set up the proportions: GA: Tự chọn Toán Trang: 10 Trường THCS Sông Lô T: What does exercies 46 ask? 28:14 = 8:4=> T: How can we calculate a; b, c, d from S :a = = ? ;b= 3:10 = 2,1:7 ;b= Ex 46(textbook-page 26) ;d= Find x in the following proportions T: How many create proportion from a equility? S: proportions a, x= = - 1,5 b) - 0,52:x = -9,36:16,38 => x = 0,91 T: What does exercies 47ask? c) S go to the boart b => =>x=2,38 Ex 47(textbook-page 26) a) 63 = 42 => ; ; b) 0,24 1,61 = 0,84 0,46 GA: Tự chọn Tốn Trang: 11 ; Trường THCS Sơng Lơ Consolidation: T: Review knowledge of lession Guide home: - Learn definition of proportion,terms of proportion and properties of proportion -Exercise 48(page 26 text book) T guide ex 48: From We have: => ; ; => ; ********************************************* Date of teaching: PERIOD 6: PRACTICEPROPERTY OF EQUIVALENT RATIOS SEQUENCE I OBJECTIVES Knowledge: Students have to know property of secquence of equivalent ratios and remark use secquence of equivalent ratios to express the word problems Skill: stusents have skill find two numbers and use property of secquence of equivalent ratios about solve the problems with wording in the fact.Forged thinking capacity, calculated Education: carefully, precisely in learning for students II PREPARATIONS - Teacher: Straight ruler, protractor - Students: Straight ruler, protractor III PROCESS ORGANIZATION OF TEACHING Organize :………… Check your homeworks: -Student 1: +) Speaking the property of secquence of equivalent ratios? GA: Tự chọn Tốn Trang: 12 Trường THCS Sơng Lơ From secquence of equivalent ratios , we deduce: = = (Asume that all ratios are meaningful) -Student 2: +) Speaking the remark? With the secquence , we say a,b,c are in the ratios 2:3:5 We also write: a : b : c =2 : :5 Now,we learn new lesson New lesson Teacher and student’s activities T: Let’s ?1 T guides: from = => (b d) T: What does exercies 54 ask? T guides S ex54 Contents I.Vocabulary: 1.Secquence of equivalent ratios: Dãy tỉ số Value : Giá trị Consider : Xét Expanded : mở rộng Asume : Giả thiết Proven : chứng minh Applying: Áp dụng Remark : ý Area: diện tích 10 Perimeter: chu vi 11 Rectangle : hình chữ nhật 12.Marbles: viên bi 13 Plant trees: trồng 14 Total : tổng II.Practice: Ex 54(textbook-page 30): Applying property of secquence of equivalent ratios, we have: = S calculate y? Hence: T: What does exercies 55 ask? S go to the boart exercies 55 GA: Tự chọn Toán Trang: 13 =2 x=3.2=6 =2 y = = 10 Trường THCS Sông Lô Ex 55(textbook-page 30): From : x : = y : (- 5) => Applying property of secquence of equivalent ratios, we have: T: What does exercies 56 ask? = = =-1 T: How you do? T: How can we calculate the length Hence: x = (- 1) = - y = (- 5) (- 1) = two sides of rectangle? Ex 56(textbook-page 30): T guides S ex57 Call the length two sides of rectangle are x, y We have: and x + y = 28 Applying property of secquence of equivalent ratios, we have: T: What does exercies 57 ask? T: How you do? x = = T: How can we calculate the numbers y = = 20 of marbles of Minh, Hïng, Dòng? So, the length two sides of rectangle are 8m; T guides S ex57 20m Ex 57(textbook-page 30): Call the numbers of marbles of Minh, Hung, Dung are x, y, z We have: = = and x + y + z = 44 Applying property of secquence of equivalent ratios, we have: = = = x = = y = 4 = 16 z = = 20 So the numbers of marbles of Minh, Hung, Dung are 8; 16; 20 (marbles) Consolidation: GA: Tự chọn Tốn Trang: 14 Trường THCS Sơng Lơ - Property of secquence of equivalent ratios? Guide home: - Learn property of secquence of equivalent ratios and remark use secquence of equivalent ratios to express the word problems -Exercise: 58; (textbook-page 30); 74; 75; 76;78; 79; 80; 81 (workbook - page 21;22) T guide ex 58: Call the number of trees planted per class 7A,7B are x,y We have: and y – x = 20 Applying property of secquence of equivalent ratios, we have: => x = 80; y = 100 *************************** Date of teaching: PERIOD 7: PRACTICEFINITE DECIMALS.INFINITE REPEATING DECEMALS I OBJECTIVES Knowledge: Students have to know finite decimals infinite repeating decimals, know to explaine why the fractions can be written as finite decimals or infinite repeating decimals Skill: stusents have skill write the fractions as finite decimals or infinite repeating decimals.Forged thinking capacity, calculated Education: carefully, precisely in learning for students II PREPARATIONS - Teacher: Straight ruler, protractor - Students: Straight ruler, protractor III PROCESS ORGANIZATION OF TEACHING Organize :………… Check your homeworks: Now,we learn new lesson New lesson Teacher and student’s activities T given example GA: Tự chọn Toán Contents I.Vocabulary: Decimal: Số thập phân Finite decimals :Số thập phân hữu hạn Infinite repeating decimals: Số thập phân vô Trang: 15 Trường THCS Sông Lô T: What does exercies 65 ask? S go to the boart T: What does exercies 66 ask? S go to the boart T: What does exercies 67 ask? S go to the boart hạn tuần hoàn Fraction : phân số Digit: chữ số Symboy : Kí hiệu Repeat : lặp lại Repetend : chu kì Similarly : tương tự 10 Comments: nhận xét 11 Positive denominator: mẫu dương 12 Prime factor : ước nguyên tố 13 Fraction in simplest form: phân số tối giản 14 Rational number : số hữu tỉ II.Practice: Ex 65(textbook-page 34): Explain why the following fractions can be writen as finite decimals, and then write them down in that form: * ; ; and can be written as finite decimal, because denominator = 23; = ; 20 =22.5 and 125 = 53 has no prime factor diferent from and Ex 66(textbook-page 34): Explain why the following fractions can be writen as infinite repeating decimals, and then write them down in that form: * ; ; and can be written as infinite repeating decimal, because denominator 6=2.3; 11 =11 ; =32; 18 = 2.32 has prime factor diferent from and Ex 67(textbook-page 34): Can be filled prime numbers with one digit in the box so that A can be written as infinite repeating decimal A= A= T: What does exercies 85 ask? GA: Tự chọn Tốn Trang: 16 Trường THCS Sơng Lô S go to the boart b T: What does exercies 70 ask? T guides A= Ex 85(workbook-page 23): -The fractions that can be written as a finite decimal because denominator which has prime factor diferent from and Ex 70(textbook-page 35): Write the following finite decimals in the simplest fraction form: a, 0,32= S read ex 88 Similarly example S go to the boart b, - 0,124= c, 1,28= d, -3,12= Ex 88(workbook-page 23): Let write the number 0,(25) in the fraction, we do: 0,(25) = 0,(01) 25 = ( because 0,(01) = ) +) 0,(34)=0,(01).34= +)0,(5)=0,(1).5= +)0,(123)=0,(001).123= Consolidation: - Why the fractions can be written as finite decimals or infinite repeating decimals? GA: Tự chọn Tốn Trang: 17 Trường THCS Sơng Lơ Guide home: - Learn finite decimals infinite repeating decimals, know to explaine why the fractions can be written as finite decimals or infinite repeating decimals -Exercise: 68,69,71,72 (textbook-page 34-35); -T guides S ex 71 (page 35) = 0,0101 = 0,(01); = 0,001001 = 0,(001) GA: Tự chọn Toán Trang: 18 ... meaningful) -Student 2: +) Speaking the remark? With the secquence , we say a,b,c are in the ratios 2:3:5 We also write: a : b : c =2 : :5 Now,we learn new lesson New lesson Teacher and student’s... find unknown numbers - Attitude: training careful and correct personality for Sts, scientific resentations II- Preparations: 1/ Teacher: Text book, lesson plan, 2/ Students: Textbooks, notebooks,... value, find x - Attitude: develop students' thinking in the form of finding the maximum and minimum value of expression II- Preparations: 1/ Teacher: Text book, lesson plan, 2/ Students: Textbooks,