Fractional multiplication (1): ⒌ meters. 30 bundles. 24 cases. Page 85.
Fractional multiplication (2):χ( 1)√(2)×(3)×(4)×. 300 kilometers. Once 100 kg. ⒏60.(9) 45.⒑3 years old. 80 bags
Fractional multiplication (3): 13. ( 1) C (2) C (3) D (4) C. ⒋⑴×⑵×⑶×⑷×。 6.kg， 14 kg。 350 math books and 50 English books. ⒏22.
Unit detection: 1) m, 7) m. 168 people, 56 people. ⒊⑴√⑵×⑶×⑷×⑸√。 ⒋⑴B⑵B⑶A⑷C⑸D。 120 yuan, 40 yuan, 40 yuan. ⒏m2, m2. Mom is 39 years old and Lele is 6 years old. (5) Xiaohong and Kobanawa Xiaogang (2) Xiaohong is the fastest and Xiaohua is the slowest. 5. Width10km, with an area of 2km. 5] 90, 80, 4 10.⒔
The second unit cuboid (1)
Understanding of cuboids: 1) √ 2 × 3 × 4 ×. ⒋370cm。 ⒌3cm。 ⒍ 144cm2。
Unfolding and folding: 1. ⒈ ⒈ ⒈ ⒈ ⒈ ⒈ ⒈ ⒈ ⒈ ⒈ ⒈ ⒈ ⒈ ⒈ ⒈ ⒈ ⒈. 3 sides: 8 pieces; Two sides: 24 pieces.
Surface area of cuboid: 1. ⒈ 448.⑵24。 ⑶ 160。 ⑷ 100。 ⑸3 18。 ⒉⑴×⑵×⑶√⑷×⑸×。 150 decimeter 2. 880 square centimeters. 320㎡。 ⒏504 cm 2. 9184 square meters. ⒑138m2
Exposed surface: 1. 3. (2) 7500 square centimeters. (3) 384 square centimeters. (4) 1 12cm2。 13. 10，640㎡。 4.80 square centimeters, 48 square centimeters. 26 square centimeters. ⒍ 192cm2。
Unit test:1) √ 2× 3× 4× 5 √. ⒊⑴C⑵B⑶B⑷C⑸B。 5 centimeters. 2 100 square centimeter. ⒏ 176dm2, 1056 yuan. ⒐ 160dm2
Unit 3 Fractional Division
Countdown: 13. ( 1) × (2 )× (3) √.⒋⑴D。 (2) C, A, B, (3) B, (4) A, C.5 and 9.
Fractional division (1):13 √ 2× 3× 4× 5 √. 4. Xiao Mingliang, Xiao Hong looks at page 40 and Xiao Ming looks at page 64. 5. Rice. 6. meters, meters two. ⒎ kilometers. ⒏c、b、a。
Fractional division (2): 1. χ χ χ χ χ χ χ χ χ χ. Six tons. ⒏√○√○。 ⒐、>。
Fractional division (3): 13. (1) A (2) B (3) C, B (4) C.
2.258 copies. Four trips, God. 30 kilograms of apples and 5 kilograms of baskets. 30 meters. ⒏ at a loss.
Mathematics and life
Paint the wall: 13. 4168cm2. Floor tiles are 2000, and tiles 10000. (about 622kg. 5.① 150 liter. ⑵ It is cost-effective to buy VAT, 1275 yuan. 66 square centimeters.
Fold: 1. Cuboid, 64 square centimeters.
Unit test: ⒌ (1) 7. (2) 880 meters. (3) 200 yuan. ④20 kilograms. 5] 15km。 [6] 540 square meters.
Temporary detection
⒈⑻297。 ⑼。 ⑽3。 ⑾64、384。 ⑿ 10。 3. greater than. ⒉⑴×⑵√⑶√⑷√⑸√⑹√⑺×⑻×⑼×。 ⒊⑴a⑵b⑶a⑷c⑸c⑹c。 (1) 600 kg. (2) 40.6 yuan. (3) 312cm2. (4) 35kg. ⒎
The fourth unit cuboid (2)
Volume and volume: ⒌ Not necessarily, because the thickness of the cup wall may be different.
Unit of volume: 1. 1. ⒈4cm3, 9 cubic centimeters, 10 cubic centimeters. ⒋cm3、m3、l、cm3、ml、ml。 5. The second scheme is more cost-effective. ⒎ 14、3
105
Cuboid volume: 1. 8cm3， 18cm3， 13cm3。 [6] (1) 160 cubic centimeters (2) 100. ⒏ 144 liters. Pet-name ruby 22.5 liters. ⒑8 decimeters. (5) (1) has been expanded by 2 times. (2) it has been expanded to eight times. (3) The volume remains unchanged.
Volume conversion unit: 13. 3. Economic value of1.25l. It is 25 cm long, 4 cm wide and 5 cm high. The volume is 500cm3. ⒌ 1500m3。 7,200 cubic centimeters. 4,500 yuan. ⒎ 124dm2、 120dm3。 8.
Interesting measurement: 1. Stone. 2 stones. (3) Divided by 100. ⒉ 120cm3。 ⒊ 12.6cm3。 ⒌0.5dm3。
Unit test: 1. (1) × (2 )× (3 )× (4) √ (5) √. ⒊⑴B⑵A⑶A⑷C⑸B。 ⒌⑴8m2、4m3。 ⑵ 2700m3. ⑵64000m3, 64dm3. (4) 240 cubic centimeters.
Unit 5 Fractional Mixing Operation
Fractional mixed operation (1): 1. (3),,,. ⒉⑴√⑵×⑶×⑷×⑸√。 ⒊⑴B⑵B。 5.( 1) Enough. (2).1.3 (3) 25 points. 40 people, 44 people.
Fractional mixed operation (2): 1. C 2。 B 3。 A. ⒋。 . 4 164 yuan. ⒍。 Well depth 12m, rope length 52m.
Fractional mixed operation (3): 1. (1)1(1)1. ⒉⑴√⑵√⑶×⑷√⑸√。 ⒊⑴C⑵C⑶B⑷B。 40 kilograms. ⒍。 ⒎。 22 1 yuan.
Unit test: 1 × 2 √ 3 √ 4 × 5 ×. ⒊⑴B⑵B⑶A⑷C⑸A⑹B⑺C。 (1) 85 vehicles. ⑵70 degrees. (3) 270 square meters. (4) 1200 yuan. Once 18 yuan.
Unit 6 percentage
Recognition rate: 1. 1%, 52.⑵ 14。 ③ July, August and July. ⑷25、 10、50、500。 ⑸3%、97%。 ⒉⑴×⑵×⑶×⑷×⑸√。 ⒊⑴A⑵A⑶D。 ⒍50%。 ⒎ 150%。
Qualified rate: 1. 97%.⑵99%。 ⑶96%。 (4) Electrical Department, 100%, shoes and hats department, 95%. ⒉⑴√⑵×⑶×⑷×⑸×。 ⒊⑴C⑵B⑶B⑷A。 4. Starlight card and Zhongle card. ⒌42%。
Protein content: 1. 0.3, 65, 13.⑵、35。 ③250, 0.9 liter. ⑷9、 10、300、30。 ⒉⑴×⑵×⑶√⑷×。 6.583 grams. ⒍2 1%。 Protein 200g, fat100g, sugar150g and minerals 50g.
I'm in charge this month: 2.40 kilograms. 500 grams, 340 grams of water and 50 grams of fat. The excellent rate of class one in five years is high, and the unqualified rate of class two in five years is high. 50 people
Unit test:1) √ 2) √ 3× (4 )× (6 )× (7 )× (8 )× (9 )× ⒊ (1) A _ 2 B _ 3 B _ 4 B _ 6 C _ 6 B. ⒎ (1) 270.②770 copies. (3) 1000.⒏30 kg.
Mathematics and shopping
Estimated cost: ⒐ Lost, loss 16 yuan. ⒑ Put the10cm edge of this small box against the10cm edge of the box.
Shopping strategy: 1. 2. Two at most. [13] (1) B (2) C (3) C (4) 3 species, 5 species. 2. store B.5. A shop. [6] into the white brand towel.
Packaging knowledge: 1. 1 176cm2。 ⒉90×39。 3. 5000 cm2. 4. 585 cm2. 2.110.8 cm. 6. ⒍30cm2.
Unit 7 Statistics
Sector map: ⒎ (1) 12. ②92 volumes. ⒏⑴48%。 (2) 5,000. (3) 2,400 chickens. (9) 2400 yuan. ⑵ 1080、504。
Olympic Games: 1) C 2 A 3 B. ⒌ (1) sector. ⑵36%。 (3) 150 people. (4) There are 48 musicians and 33 artists. Wages increase year by year. 100 yuan, 800 yuan. (3) About 2200 yuan. 7. Novels account for about 23.8%, poems for about 9.5%, paintings for about 47.6%, magazines for about 14.3% and reference books for about 4.8%.
Median and mode: 1 × 2 √ 3 × 4 × 5 × 6 √. ⒊⑴C⑵C⑶C。 ⒌⑴ 144cm。 ⑵ 144、 144。 (3) 1 44.2 cm. (1) About 1245.5 yuan. ⑵ The mode is 750, and the median is 750. (3) Unreasonable.
General revision
23.( 1) 6 160 square decimeter. ⑵ 24,000 cubic decimeters. 24.50 cubic centimeters.
final exam
Easy to drill:1) √ 2× 3 √ 4×ψ×Φ×⑽⑾×. ⒊ (1) b, ⑶ d, ⑶B, ⑶ a, ⑸B, ⑹D, ⑺ Ability improvement: 6. Large package 2.4 yuan, small package 0.66 yuan. ⒎ 14.4cm3。 ⒏⑴56m2。 (2)179.2 yuan. 58.3%, 28 kg.
Bottom: multiples and factors
The world of numbers
Simple exercise: 1. ××××√×.
Ability improvement: ⒌ (1) 24, 52, 32 (2) 35, 25, 45 (3) 42, 24, 54. The answer is not unique, just write one in each group. )
The width is small, and it is impossible for others to quote multiples of 3.
Exploration activities (1)
Simple exercise: 1. √ √ √; ⒊○△△○○○△。
Ability improvement: Groups 2 and 5 are redundant because 123 is not a multiple of 2 and 5.
⒏20 pieces are packed in one piece, which is not accurate, because 250 cannot be divisible by 20; 50 can hold one, because 250 can be divisible by 50.
Collect sand to make a tower: ⒐ Even, odd, even, odd.
Exploration activities (2)
Simple exercise: 13. B, a and D.
Capacity improvement: Χ (1) 3, 6, 30, 36, 60, 63, 306, 360, 603, 630; ⑵36、63、306、603、630、360; (3)10,6, maybe, definitely.
Gather sand into a tower: ⒏ Minimum: 5010; Maximum: 5970.
Find a factor
Simple exercise: 1. Two kinds of 5s. 120, 990.
Ability improvement: ⒎
line numbers
1
2
three
four
nine
six
12
18
36
Number of people in each row
36
18
12
nine
four
six
three
2
1
Gather sand and make a tower: χ may be 6, 12, 24, 48.
Looking for prime numbers
Simple exercise: 13. B B B C C。
Ability improvement: 6. You can choose 2 bottles, 5 bottles, 10 bottles, and each box contains 25 bottles.
Equal number of people
Easy to drill: 1. Up and down 2. Green, red and green; (3) Even number (4) Odd number.
Ability improvement: χ4 1, 43, 45, odd product.
Gather sand into a tower: ⒎
Odd even odd even odd even
B: odd, odd, even, even.
A+b: even and odd.
A-b: even odd odd even.
A×b: odd, even, even, even.
A-B: Odd, even, even.
Unit detection
Simple exercise: 1. 6.92 or 36; 3 and19; ⒊××××××。
Capacity improvement: ⒒18,9,6,3,2; (3) 2 and 23, 83;
Gather sand into a tower: (5) 76 129
The area of two graphs
Compare the areas of graphs.
Easy to drill: 1. 2.4.⒊②; ⒋①
Gather sand into a tower: 28 cm.
Graphic area on carpet
Productivity increase: 618cm2
Do this.
Gather sand into a tower: 36 cm.
Area of parallelogram
103
Easy exercise: 1. Square and rectangle 1. Equal to 1.19 cm 1. ω ω ω ω ω ω ω ω ω ω 40 meters.
Gather sand to build a tower: ⒐ (27-8 )×15 = 285m2.
Area of triangle
Simple exercise: 1. Exactly the same; Parallelogram; Half; (3) right angle edge; ⒋⑴√⑵×⑶×⑷×⑸×
Capacity increase: 6 meters; 4000 square meters; ⒏ First, calculate a rectangle with length 12 triangles and width 10 triangles, and a * * * can make 12× 10×2=240 flags;
Gather sand and make a tower: the area of the big square has been cut off. The area of the triangle is 8× 8-4× 4 ÷ 2 = 56 square centimeters.
Trapezoidal area
Simple exercise: 1. Parallelogram and trapezoid; ⑶ 64; 2. (1) x (2) x (3) x (6)1488 square meters;
Capacity increase: 1.620 trees; Once13m; ⒏ 1008 square meters;
Gather sand into a tower: ⒐490 square centimeters.
Unit detection
Easy to drill: 1. 360; ⑵ 1240; (3) also expanded to four times the original; (4) restore to the original; 5] equal;
⒉⑴×⑵×⑶×⑷×⑸×; ⒊⑴b⑵c⑶b⑷a⑸c； 484.8 kg at a time; ⒏ 5 kg; Pet-name ruby 666 square meters; ⒑ 130 (unused materials at the edges must be removed);
Gather sand into a tower: ⒒ 2 100 square meter.
Three scores
Re-understanding of fractions
104
Easy to drill: 13. (1) Unit "1",8, 5; ⑵5、、; ⑶、;
Ability improvement: ⒌ (1) c (2) a
A grain of sand makes a tower: not necessarily. Because the total number of students in grade three and grade four may be different.
Cake
Simple exercise: 1. ①,; 2, six fifths, false; (3) Seven and one-sixth; (4) a >, more apples; 5] A does it quickly;
Collect sand and make a tower: 13.
Unit detection
Easy to drill:1) √ √ √×; ⑷×⑸√⑹ √; ⒊⑴B⑵A⑶C⑷A、c； ⑸A⑹A⑺B,C
Ability improvement: ⒏ (1) Tuesday; (2) 420; (3) 5 decimeters, 63 pieces; ④228 kilometers.
Four-fraction addition and subtraction
Paper folding
Ability improvement: ⒌ (1) (2) (3); 6. Strong is fast, and points are fast;
Gather sand into a tower: ⒎
Sunday arrangement
Ability improvement: ⒌ (1)× (2 )× (3 )×; ⒍; ⒎; Wang Wang; ⒐⑴⑵;
Gather sand and make a tower: ⒑.
It's time to read extracurricular books.
Ability improvement: ⒌ Wang Hua. ⒍ 。 Once square meters.
Gather sand and make a tower: ⒏
Unit detection
Ability improvement: ⒐; ⒑ ; 5] Xiaoxian is the tallest and Bingbing is the shortest, with a height of 0.04 meters or meters; ⒔ 1.65m； 5. tons;
Gather sand and make a tower: ⒖93
Temporary detection
Ability improvement: ⒑ (1) 4; (2) Lili, red; (3) thirty days; (4) ① 48 square meters; ②4608 kg; 5] 32 square meters; (6) 60 yuan; 36 square centimeters at a time; (8) Article 40 septies; Levies 933.85 m2. ⑽ meters; Gather sand to build towers: ⑿4 square decimeters, 6 square decimeters.
Five-digit area (2)
Combined graphic area
Gathering sand into a tower: 46 square centimeters
Growing footprint
Sand gathering tower: 35.75m2.
Try to guess.
The chicken and the rabbit are in the same cage.
Simple exercise: 1. Chicken: 1 1, rabbit:14; 5 yuan 8, 2 yuan10;
Ability improvement: 3. Right 7, wrong 3;
Collect sand and make a tower: 4 big boats and 5 small boats.
Laws in lattice
Easy exercise: 1.25. [13] (1) The number in line 5 is 9, and the number in line 8 is15 (2)16; 100.
Unit detection
Gathering sand into a tower: 9 covers an area of 2,544 square centimeters; Need to fertilize 636 kg; Yuan
The size of six possibilities.
Touch the ball game
Gather sand and make a tower: 6. 6. (1) (2)
Mathematics and life
Welcome the new year.
Collect sand and make a tower: 2.
Unit detection
Gather sand and build towers: there are 9 cards for this 10, and 5 cards are 4 cards; 5]192 m2, 38.4 kg.
General revision
Numbers and Algebra: 1) 2 and 3; 9, 18 or 36; ⑶ 105; ⑷a-2，a+2； 5] Open and close; ⒉⑴×⑵×⑶×⑷×⑸√; ⒌⑴c⑵c⑶b⑷a⑸a； ⒒ ; 7 meters. (13) 48 people; ⒕ ; 0.845 tons; ⒘ 。 Rent six carts and one car for 1350 yuan.
Space and graphics: [6] 42 [3] 30 [4]13 [5]17.4 [6]18 [6] [1] × √ (3 )× (4) 24. 160 cm2； 25.40.5 square centimeters; 26.658 pieces.
Statistics: 28. 29.； 30. Red balls account for the total, white balls account for the total, and yellow balls account for the total; 37÷6=6 (group) ... 1 (pieces), the 37th colored ball should be red.
final exam
4.= 0.625 or =0.3 (period),
=0.36 (cycle) once (1) (1); ⑵③ ; ④ ; ⒏⑴② ; (2) Cabbage land area is 30 square meters, radish land area is 36 square meters, radish land area is large, 6 square meters, ② 1008 kg; ⑶ ; (4) 8 points, 40 cm; 5] 2 sunny days and 6 rainy days; Pet-name ruby 7 big ships, 2 small boats, * * * need 208 yuan.