nastavna programa vi
DESCRIPTION
6TRANSCRIPT
-
1
-
2
-
3
-
4
-
5
-
6
-
7
-
8
-
9
-
10
-
11
1
2
1A
2A
1
2
1
2
1
2
-
12
1A:
1
1 . .
1
, . , ( ). . ( ). . ; , .
, , , , , , , , , , ,
-
13
. 2 3 . . . , . . 5000 , . .
. 2 ( 2000, 40, 4, 0.1 . : 2074,05? 480632,5?
-
14
, , .
:
. ... ... ... .
2 0 10 000. , (), , , .
2
. . . , ? ? 50- .
. . .
010 000 50. http://mathsframe.co.uk/en/resources/resource/40/reading_varying_scales_
, , , , , , , , ,
-
15
3 , . , . 255 256 255 300; 260 000 300 000.
3
10-, 100- 1000- e 10-, 100- 1000- . , . 15 437 10-. 15430 15 440. , . ? 10-, 100- 1000-.
, . 5, 10-.
http://mathsframe.co.uk/en/resources/resource/53/rounding : o (Reasoned Rounding) http://nrich.maths.org/10945
, , , , , , , , ,
-
16
40000 100000. 10-, 100- 1000-. . / . . .
4 20, 1, . 0,4 + 0,6. , . 2,34 + 47,8. .
4
0-20. , , . , . : 17 : 1 + 6 + 10 20 3. .
. .
020 ,
, , , , ,
-
17
. , . 450, 10-, 389 390 56 60 390 + 60 450. .
http://nrich.maths.org/2007 100 (Maze 100) http://nrich.maths.org/91 ( Strike it out) http://nrich.maths.org/6589
5 . , . .
.
5
- ? - ? - ? - ? ? ? . ( 1 000 000
: http://nrich.maths.org/7449&part=
, , , , , , , , , ,
-
18
, , 300 000 640 000 /.)
, . 30
105 11, 51 9, 149 + 398, 1871 299 : 1 155, 459, 547, 1 679 ..
2
1 , . , (), , , .
1
. , .
.
, , , , , , ,
-
19
3 .
. . , .
http://nrich.maths.org/8063 http://nrich.maths.org/10486 http://nrich.maths.org/10488
2 ( ) ; . . , , .
2
, , . . , . .
( , ) http://nrich.maths.org/2670
, , , , ,
-
20
. ? .
. . , . , .
, . *56 + 237 = 3*3 , . http://nrich.maths.org/986 http://www.ictgames.com/magicSquare/index.html
-
21
.
3 , >,
-
22
/ . < > .
/ .
13 534< * < 14 582, * ? 341 * 261 + 80 ? 250 * 20 x 13 ?
. . ( ), . , .
-
23
, , . .
.
.
+, -, , , .
, . . 250, 130, 180, 250 34 , , . ?
, , , , , , , , , , , , ,
5 .
5
+, -,
+, -,
, , , , , , ,
-
24
, , . .
.
, .
35 + 99 4005 3999 4764 + 3651
, , , , , , , , , , , , , , , , , , ,
3
1 () . . , (), , , .
1
/ / , .
? / .
, , , , , ,
-
25
. / .
(1, 1, 2, 3, 5, 8 0, 1, 1, 2, 3, 5, 8 ) . , . 2 38 ? 196 , a b a < b?
2 5, 10, 25, 50, 100 1000. , (), , ,
2
. , . / / 5 / 25.
, .
, (), , , ,
-
26
.
, . . .
. , , ,, . .
3 1 10 000 10, 100 1000 . , (), , , .
3
10000 1000. ? ? ? : 1000 10 100? ?
.
, , , , ,
-
27
10, 100 100 . .
. . .
23 ___ -> 23000 ___ -> 2300 - ___ -> 23 ___ -> 0.23 . ___ 10 ->__ 1000 -> ___ : 10 -> ___ 0,35; 3,5; 35; 350; 3500 35000
4 , . 3040 , . 60040. , (), , , .
4
, 10 10, . ? 10. . .
, , , , ,
-
28
3 :
40 30 60 700 .
10 10 . , . . , , . , ( !) . .
10 10 : 10 100 http://nrich.maths.org/10421 http://nrich.maths.org/10424 http://nrich.maths.org/10478
5 , . 393 403-3.
5
:
, ,
-
29
.
8 12 8 10 + 8 2
80 + 16 = 96 17 9 17 10 17 1
170 17 = 153
20 , 19 21. .
, , ,
-
30
. 17 19. 17 20 = 340. 17 1 = 17. 15 19 = 323.
, 10. 39? ...51? .
, . 38,52.
4
1 , . . , (), , ,
1
, . , . . .
:
+
.
, , , , , ,
-
31
.
. , .
, . 360. .
2 , ( ).
2
. .
:
= . () ?
, , , ()/
-
32
3 , . 3516 708. , (), , , . . , . 5 (n, 2n+5); 3 1 ( 3n-1 ); 180 .
3
. . , , , .
:
25 36 = 900 50 18 = 900 100 9 = 900 16 28 = 448 8 56 = 448 4 112 = 448 2 224 = 448
, .
, , ... , , ,
-
33
4 . , . . , , .
4
( ).
+, -, . , , .
+, -, . .
( ).
+, -,
, , , , , , , , ()/ , ,
5 , , .
5
:
5 78 48 39
, , , ()/ ,
-
34
.
99 56 6 345 1 10.
. , , .
43 1 = 430 2 13 = 312 1 4 = 408
: http://www.worksheetworks.com/math/basic-operations/multiplication-search.html
5
1 . . .
1
12 . / ? ?
( . 2 6, 6 2, 3 4, 4 3,
.
(), , , ,
-
35
1 12, 12 1). 12? . .
.. (). . ( ) , .
(Music to my ears) http://nrich.maths.org/5483
2 . 20 100.
2
1 11, 23, 7. . 1 .
(), , , , , ,
-
36
. , (), , , .
20.
100. , 2, 3, 4 . ? ?
100 ( Sieve of Eratosthenes) http://nrich.maths.org/7520
3 , . 4 5. , (), , , . .
3
. 1 : 4, 5. 20? ? ?
.
, , , , , , ,
-
37
:
- 2 2, 4, 6, 8, 10, 12, 14, 16, 18
- 3 3, 6, 9, 12, 15, 18
- 2 3 6, 12, 18 ...
4 6 .
, , . 4 6.
http://nrich.maths.org/5468
4 . . .
4
() , . . 12 10. . ?
,
() / (Counting Cogs) http://nrich.maths.org/6966 (Cogs environment) http://nrich.maths.org/4775&part=
, , , , , , ,
-
38
. . .
, , . , . 53 . 38 . ?
+, , , :
5 , .
5
, . 5- .
( )
, , , , ,
-
39
. , (), , , .
, .
16 : 3 3- 16?
5 1 45 : 7 7- 45?
6 3
59. 59 5? (4) 59 4? (3) 3? (2) 2? (1). 2 10 1 ?
,
-
40
, .
http://nrich.maths.org/1783 http://nrich.maths.org/6402
6
1 . , , . , (), , , .
1
+, -, . 35 30 . ? , . . ,
+, -, /
+, -,
, , , , , , , ,
-
41
( ) . .
580 . , 115 88 . ? 580 + 115 + 88 = 783
2 . , (), , , .
2
. , , ..., () , .
. .
http://www.amblesideprimary.com/ambleweb/mentalmaths/pyramid.html http://nrich.maths.org/488 http://nrich.maths.org/5403
, , , (), , , , , ,
-
42
. , .
3 . . , (), , , .
3
. .
.
http://www.kakuro.com/ http://www.kakurolive.com/ http://www.mathplayground.com/algebra_puzzle.html
, , , , ,
4 . , (),
4
, . .
http://nrich.maths.org/53
, , , ,
-
43
, , .
. .
. (Totality) http://nrich.maths.org/1216 (Got it) http://nrich.maths.org/1272 (Dotty Six) http://nrich.maths.org/7337 (Four Go) http://nrich.maths.org/5633 12 (The Twelve Pointed Star Game) http://nrich.maths.org/2856
5 .
5
. .
4 4- ( / ) , 0 20.
http://www.subtangent.com/maths/countdown.php http://mathforum.org/ruth/four4s.puzzle.html
, , , , , , , ,
-
44
1:
7
1 2 . 2 3 , . .
1
2 . 2 . , ; .
2 : 2 2 . , . .
.
2 , / 2 , 2 ,
2 , , , , , , , , , , , , , , , , ,
-
45
? ? , , , , .
. , . ? ?
http://nrich.maths.org/2883/index
2 2 . 2 3 .
2
. . , .
2 , : ? 4 ? ...
.
2 , http://mathsframe.co.uk/en/resources/category/569/ http://nrich.maths.org/7192 : http://www.iboard.co.uk/iwb/Sorting-Shape-Tree-289
2 , , , , , , , , , ... , , , , ,
-
46
3 ( , ) , . 2 3 .
3
. . , . ?
... ? ? ?
. . , , .
: , , ( )
, , , , , , , , , , ,
-
47
4 ( , ) , . 2 3 .
4
. ( . ). , .
?. . . .
: http://www.mathsphere.co.uk/resources/MathSphereFreeGraphPaper.htm / :
, , , , , , , , , , ,
5 ( , ) , . 2 3 .
5
. . ? ( http://www.fun-stuff-to-do.com/support-files/tangram-geometric-shapes.pdf
http://nrich.maths.org/2595 http://math.about.com/library/tangramsm.pdf ( )
2 , , , , , , , , , , , , , , ,
-
48
.
.
, : ? ?
: http://www.iboard.co.uk/iwb/Sorting-Shape-Tree-289
, , , ,
8
1 3 . 2 3 . .
1
. 2D 3 . , . .
http://mathsframe.co.uk/en/resources/category/569/
3 , , , , , , , , , , , ,
-
49
, . . , . . .
3 . .
3 .
, 3 . 3 , . ? 3 8 ?
3 .
,
-
50
2 3 . 2 3 . .
2
3 . 3 .
? 3 . . .
/ 3 . 3 : http://www.crickweb.co.uk/ks2numeracy-shape-and-mass.html#quad 3 (Match the 3 shapes)
3 , , , , , , , , , , , , ,
3 .
3
, .
, . x y . 4 . ?
1 4 . : http://mathsframe.co.uk/en/resources/resource/79/itp_coordinates
, , , , x-, y-, , , , (
-
51
4 .
, 4 .
4 , . . ? x- y- . ? ?
4 ( ) : http://mathsframe.co.uk/en/resources/resource/79/itp_coordinates 4
4 .
4
.
http://www.worksheetworks.com/math/geometry/graphing/coordinate-pictures.html http://www.superteacherworksheets.co
, , , , x-, y-, ,
-
52
.
m/mystery-graph-picture/sailboat-easy-graph_WQWQD.pdf http://www.math-aids.com/Graphing/Four_Quadrant_Graphing_Characters.html
,
5 . 2 3 . .
5
, , . :
(1, 3), (-2, 2), (-1, 4) :
a) ? ) ? ? ?
3 : http://mathsframe.co.uk/en/resources/resource/153/coordinates__reasoning_about_position_and_shapes
, , , , x-, y-, , , , , , , , , ,
9
1 ( ) ,
1
. .
, , o
-
53
90 .
, . , , .
.
, . ? ?
, . http://mathsframe.co.uk/en/resources/resource/82/itp_symmetry (Let us Reflect) http://nrich.maths.org/1873
2 ( ) , 90 .
2
. , . , ? ?
(), (), ,
-
54
.
.
3 ( ) , 90 .
3
. . : , , , .
. .
, .
http://nlvm.usu.edu/en/nav/frames_asid_301_g_2_t_3.html , ,
, , , , ,
4 (
4
4
, , , ,
-
55
) , 90 .
4 . .
.
, , , , , x-, y-, , ,
5 ( ) , 90 .
5
. : ? ?
: ? ( / ) ? ( . )
,
, , , , , , , , , , , x-, y-, , ,
-
56
1:
10
1 (, , , , , , , ). . , , , .
1
30 .
, . 100 m?
PE , . ? 100 m?
: ... ...?
( )
, , , , , , , ,
2 24 .
2
.
, , , 12- 24 .
, 24 , 12 , (am),
-
57
, . 3:40. , , , , .
12 12 24 . .
. . , , .
24 . http://www.bgfl.org/bgfl/custom/resources_ftp/client_ftp/ks2/maths/time/index.htm , . http://www.senteacher.org/worksheet/92/ClockFlashCards.html
pm , , .... , ..., ..., ..., ..., ....
3 24 . , . 3:40. , , , , .
3
, .
24 . ? ? ?
http://www.senteacher.org/worksheet/92/ClockFlashCards.html
, 24 , 12 , (am), pm , , .... , ..., ..., ..., ..., .... ,
-
58
, , . , ,
4 . , , , .
4
.
, . 4.05. 18 . ? : . . .
, 5 . : http://www.helpingwithmath.com/printables/others/lin0301number26mult.htm ( ) / http://nrich.maths.org/9307 http://nrich.maths.org/630 http://nrich.maths.org/4818/index
, 24 , 12 , (am), pm , , .... , ..., ..., ..., ..., .... , ?
-
59
5 () 24 . , , , , .
5
, . ... ... .... 9 ? ? ?
. . , . . : 10:30 ...?
( )
( ) , 24 , 12 , (am), pm , , .... , ..., ..., ..., ..., .... , ...?
11
1 () 24 .
1
,
/
, 24 ,
-
60
, , , , .
/ ( ) / . , , .
. .
12 , (am), pm , , .... , ..., ..., ..., ..., .... , ?
2 , . , . , .
2
? ... ? ... ? ... ...?
:
26- ? 26- ? ?
( ) (Todays Date) http://nrich.maths.org/6369
, , , , , , , , ,
-
61
. . , , , , .
? 17- 14- ? 12- 28- ?
. . , .
.
3 , , , , .
3
.
. , ,
, . , , . , ., ,
, , , , (mm), (cm), (m), (km) (ml), (l) (g), (kg) , oC , ,
-
62
. .
.
, , , , , , , ,
4 , , , , .
4
: ?
, , , . .
( ) http://lamar.colostate.edu/~hillger/unit-mixups.html /, , , , ( ) (Olympic starters) http://nrich.maths.org/8170
, , , , (mm), (cm), (m), (km) (ml), (l) (g), (kg) oC, , ,
5 .
5
. ,
( 2 )
, , , ,
-
63
, , , , .
. 5,7 km 3 cm ...
. , .
5 km / 6 m / 123 cm 45 cm / 2.8 m / 0.5 km .
( )
(mm), (cm), (m), (km) (ml), (l) (g), (kg) oC, , ,
12
1 , . , , , , .
1
. .
0.001 kg 1000
1
1000
1kg = 1 g.
1,125 kg ? 1,47 kg ? . 1,245 m.
,
, , , , (mm), (cm), (m), (km) (ml), (l) (g), (kg) oC, , , , ,
-
64
, , , . 24,24 km , 1.7 km 2000 m . ?
2 , . , , , , .
2
, , , , . 425 ml . . ? ?
, . 8.000.000 mm. .
( 2 )
, , , , (mm), (cm), (m), (km) (ml), (l) (g), (kg) oC, , , , ,
3 .
3
( mm, cm m).
, (mm), (cm), (m) , , ,
-
65
, . , , , , .
. , 10 , 2 mm () 5 5 mm () 1 .
, , . ? ? . .
, 1
4 . , , , , .
4
. . .
. ,
, , mm, cm, cm2, mm2 , , , , , ,
-
66
. .
. . , .
/ : .
mm. http://nrich.maths.org/7280 (This Fencing) http://nrich.maths.org/10007
5 . , , , , . .
5
:
? ... ? ... ?
- 24 cm2 - 30 cm - 28 cm2 22 cm
/
, , mm, cm, cm2, mm2 , , , , , , ,
-
67
.
.
, . 10 cm 10 cm. 5 m 6,5 m.
13
1 . , , , , . .
1
, , . 105 cm. 21 cm. ?
, . 2,5 m 2 m. 25 cm 25 cm ?
(Through the Window) http://nrich.maths.org/10344 , /
, , mm, cm, cm2, mm2 , , , , , , ,
-
68
: . . .
2 , . , (), , , .
2
? . ? ? .
: . ( 12 4),
, , mm, cm, cm2, mm2 , ,
-
69
.
, : . .
3 . , , , , . . .
3
/ , , .
- 28 cm ?
- 32 cm2, ?
, , mm, cm, cm2, mm2 , , , , , , , ,
-
70
4 . . .
4
, : 18 cm2 . ? ?
, . 30 cm 30 cm. 1.8 m 2.4 m. ? 60 cm 60 cm , ? ?
, , mm, cm, cm2, mm2 , , , , , , , ,
5 , . .
5
( ).
( )
, , mm, cm, cm2, mm2 , , , , , , , ,
-
71
, (), , , .
. . ? ? ? . ?
-
72
1:
14
1 , , , . , , ( ) .
1
, . .
, .
, , - : http://www.oxfam.org.uk/education/resources/everyone-counts
, , , , , ,
2 , , , . , , ( )
2
: ? ? .
( - Going for Gold) http://nrich.maths.org/7800 http://www.theguardian.com/sport/datablog/interactive/2012/aug/07/olympics-2012-alternative-medal-table-visualised
, , , , , , , ,
-
73
.
(.. ). .
. 20- 100-. . .
3 http://mathsframe.co.uk/en/resources/resource/51/bar_charts (.. ) . . ( )
3 , , , . , , ( ) .
3
, . , . .
.
http://mathsframe.co.uk/en/resources/resource/111/itp_line_graph ( )
, , , , , , , ,
-
74
4 , , , . , , ( ) .
4
, , . .
. . .
: http://nrich.maths.org/6077 -
, , , , , , , ,
5 , , , . , , ( ) .
5
. ? ? ? . .
, , , , , , , ,
-
75
. . .
. MKD 100 .
15
1 , . .
1
, . . ? , .
, .
.
. ( )
, , , , , ,
-
76
. ... ? .
2 , . . , (), , , .
2
, . , , . , . , , . ...? .
, . () .
( ) ( )
, , , , , , ,
-
77
3 . , (), , , .
3
, .
. . ?
. ' ', . , .
, , , , , ,
4 . , (), , , .
4
. . ?
.
' ', . , . , . , .
, , , , , , , ,
-
78
. ?
5 . , (), , , .
5
, : - . - , . - .
.
.
, , , , , ,
-
79
16
.
.
.
-
80
2A:
1
1 . .
1
. . / , . 500.000. ...// . .
, . .
.
09 1 09 1 09 1
, , , , , , , ,
-
81
3 . . ?
: ?
(The Thousands Game) http://nrich.maths.org/1817&part= (Four Digit Targets) http://nrich.maths.org/6342/index
2 1 10 000 10, 100 1000 . 10 100 ( , ). , (), , , .
2
. / 10, 100 1000. .
: 10 10 .
1 http://www.taw.org.uk/lic/itp/itps/moving_digits_08.swf
, , , , , , , , ,
-
82
: 10 ?
3 1 10 000 10, 100 1000 . 10 100 ( , ). , (), , , .
3
. , ..
23 = 2300 : 1000 = 4,56 34 10 = 3,4
10, 100 1000 .: 4,56, ?
, =. .
http://kids.britannica.com/lm/games/GM_5_5/GM_5_5.htm , =.
, , , , , , , , ,
4 . 20
4
, : ?
() , ,
-
83
100. .
() ( ).
: ? ( .) 1 ? ? ?
. ? ( .) 1 ? ? (0) ??
(Prime Magic) http://nrich.maths.org/846 (Penta Primes) http://nrich.maths.org/1153 (Factor Lines) http://nrich.maths.org/1138
-
84
5 , . 4 5. 5, 10, 25, 50, 100 1000. , . , (), , , .
5
. , 3, , 5, , 3 5 , . e.g. 1, 2, 4, , , 7, 8, , , 11, , 13, 14, , 16
2x2, , .
60
3
5
72
?
2x2 , .
() , ,
-
85
84
16
12
? ?
2x2 . .
? http://nrich.maths.org/1817&part= ? http://nrich.maths.org/5950/index
2
1 , . 2, 4, 5, 10, 25 100.
1
: , . - -
() , , , , ,
-
86
, (), , , .
- 5 10 - 10 5 .
: 2? 5? 10? 100? ? .
10 2, 4, 5, 10, 25, 100 .
, 4, 25. .
http://nrich.maths.org/31 (Worms) http://nrich.maths.org/40
,
2 , . 4 5. .
2
, (): 12, 24, 36 48. ? 15. 30,
() , ,
-
87
. . . . .
60 150.
: , .
, , . 2 . 4 . 7 . ? ? , . . .
, http://www.ixl.com/math/grade-6/gcf-and-lcm-word-problems /
-
88
3 0 10 000. , (), , , .
3
. .
.
010 000 : http://www.oswego.org/ocsd-web/games/Estimate/estimate.html (begin) 4 (Stage 4)
, , , , , , , , ,
4 , . . , (), , , .
4
. , 10 m 10 m 1 . .
, , , ...
-
89
, . :
- 3000 . , ? ?
- 1.4kg. ? ?
- . , ?
. , .
5
5
, ,
, , , ,
-
90
, >, ,
-
91
, . . .
534 + 247 867 98 ?
. , . 334 + 271 < ___________ ?
.
2 , . , . .
2
. 3.46 :
: ? . 3 < 3.46 < 4. 3.46
: http://mathsframe.co.uk/en/resources/resource/229/place_decimals_on_a_number_line . .
, , , , , , ...
-
92
(3.5). 3.46 3, . 3.46 ..
3.4 < 3.46 < 3.5
3,45 3.46 3.5 .
. :
.
, . .
. 3.9 589 ?
( ) .
-
93
, . , . 3,9 589 4 600 = 2400 2297,1
( )
3 ( ). .
3
. 3,45 . 010. 3,45? ? 34 . 3,45? ? : 3 < 3,45 < 4 3,43,5 . 3,45? ? : 3.4 < 3,45 < 3,5 3,4 = 3,40 .
. .
010 3 4 3,4 3,5 : http://www.mathsisfun.com/numbers/number-line-zoom.html
, , , , , , ,
-
94
.. , . . 3 4
3 4 1 3 3,2 4 2 3 3,2 3,5 4 1 3 3,2 3,4 3,5 4 2 3 3,2 3,3 3,4 3,5 4 1 3 3,2 3,3 3,4 3,45 3,5 4
() g, kg g kg, .
1275 g, 1 kg 275g, 1,275 kg, 1075 g, 1 kg 75g, 1,075 kg, 1005 g, 1 kg 5g , 1,005 kg,
:
-
95
. 1 g kg? 0.001 .
g. kg.
http://www.iboard.co.uk/iwb/Number-Line-Drop-HUNDREDTHS-352 : http://www.sheppardsoftware.com/mathgames/decimals/BalloonPopDecimals1.htm (Spiralling decimals) http://nrich.maths.org/10326
4 , >,
-
96
( ) , , ; .
. , . . .
, , . , , , : 80 000. ? /
5 , . 1/3 0,1, ( ).
5
/.
/
, , , , , ,
-
97
() . , . 5 (n, 2n+5); 3 1 ( 3n-1 ); 180.
. . .
3
1, 1,
3
21 , 3
3, 5, 9, 15, 23 5,2; 4,3; 3,4; 2,5
.
. , . . / , . .
: 1, 2, 4. ? .
-
98
4
1 , , 1/3 0,1, ( ). () . , . 5 (n, 2n+5); 3 1 ( 3n-1 ); 180. , (), , , .
1
() . , . , . 0,2; 0,4; 0,6; 0,8; 0,10; 0,12 . / ?
10 / (. / ...)
, , , , , ,
-
99
2 .
2
. . . - - - - - -
-. ( ), . , . , /. : http://nrich.maths.org/5598 http://nrich.maths.org/2515 http://nrich.maths.org/2591
, , , ,
3 .
3 . .
, , , ,
-
100
4 20, 1, . 0,4 + 0,6. 10, . 7,8 + 2,2 1, . 0,78 + 0,22.
4
1, . 0.4 1? ? ? (4 + 6 = 10, 4 + 6 = 10 )
1. . 1?
10 . 10?
0 1 0 1010 + http://www.topmarks.co.uk/Flash.aspx?f=dartboardcentretotal to practise
, , , , , , , ,
-
101
. . . .
5 20, 1, . 0,4 + 0,6. 10, . 560+270. , . 2,6 + 2,7; 0,78 + 0,23. .
5
20.
, . 34 + 48
. , . 34 + 48 = 82: 340 + 480 = 820 0,34 + 0,48 = 0,82 82 48 = 34 .
. .
. .
, , , , , , , ,
-
102
5
1 10, 100 1000, . 3127 + 4998; 5678-1996. , , . 5,6 + 2,9; 13,5-2,1.
1
, , . 659 + 298? ? .
, . . 3,5 + 9,9 40,1 3,9 , .
, . . .
1 , . 5,6 + 2,9 = 85 13,1 2,5 =11,4
, , , , , , , ,
-
103
2 . ( ) ; .
2
, . , . 1030 + 567 , . , .
, , .
8 4 , 2 3 + 6 3, 3
9 0 , 5 6 ? ?
.
, , , , , , , ,
-
104
3 . . ( ) ; . .
3
? .
, . , 0,45.
0,24
0,12 0,27
?
), .
, , . *5,6 + 23,7 = 3*,3 . .
, , , , , , , , , , ,
-
105
, ?
4 , ( ).
4
: ? / ...?
, , ,
, . http://www.taw.org.uk/lic/itp/itps/thermometer_1_7.swf , . http://www.taw.org.uk/lic/itp/itps/thermometer_1_7.swf , -20 +20,
, , , , , , , , , , , ,
-
106
. , . -7 8 -7 0 0 8, 15.
, : - -
-
( . ).
. http://www.echalk.co.uk/Maths/dfes_numeracy/Assets/number_line_flash.swf
5 , ( ).
5
, . 200 . 125 , 70 . ?
. /
, , , , , , , , , , , ,
-
107
.
, /. . .
, . . .
6
1 , , 3040 , , 60040. ,
1
. .
, . 4,8 : 6. .
, , , ... , , ,
-
108
. 0,87; 4,86. , . . .
: 40 3? 40 3 = 120, 40 30 40 300? ?
. , . 34 4 = 136 340 4 = 1360 340 400 = 136 000 3.4 4 = 13,6
136 4 = 34 . .
: 34 48 = 1632. 16,32, ?
2 , . 393 403-3.
2
: 32 10? 32 10 = 320. 32 9 32 11 32 8 32 12? .
, , , ...
-
109
.
42 64 , .
40 60 = 2400 42 60 = 2520 42 61 = 2562 42 62 = 2604 42 63 = 2646 42 64 = 2688
.
3 10, . 7,8 2,2 1, . 0,78 + 0,22. , . 3516 708. .
3
. . , , ... .
, 5,8 0,58. , .
, , , ... , , , , ,
-
110
, . 5 (n, 2n+5); 3 1 ( 3n-1 ); 180.
? ( . 5 2 10 ; 0.5 2 1)
. . 10 18 = 180 5 36 = 180 2,5 72 = 180 35 16?
4 , ( ). , . . , , .
4
:
= = = . ? ? / ? ?
,
http://nrich.maths.org/1129
, , , ... , /() , ,
-
111
.
. . .
. .: - 5 59 - 18 68 - 198 46 - 6 345 -
1 12 . .
5 , . 17 10 7 .
5
. 37 52. , . , .
, , , ... , , ,
-
112
( , ).
38 52 = (30 52) + (8 52) 38 52 = (50 38) + (2 38) 38 52 = (40 52) (2 52) .
, , , . ( ) 67 72 = 4824 72 __ = 4824 ( ) 34 60 = 2040 34 (6 10) = __ (__ 10) 6 = 2040 ( ) 23 38 = 874 23 (40 __) = 874 (23 __) (23 2) = 874 .
-
113
7
1 , . , ( ). .
1
, ( ). .
/ . / .
. . , .
, .
: http://www.bgfl.org/bgfl/custom/resources_ftp/client_ftp/ks2/maths/school_booster/busstopdivision.html
, , , , , /
-
114
. 3290 . , ? , . . .
/
2 , ( ). .
2
:
: = : = : = . .
, , , , ,
-
115
4 .
. : = / ? : , ? (. 345 : 4 = 86 1, 34,5 : 4 8,6 3,45 : 4 0,86)
19
3 ( ). , , .
3
( ).
, .
. : =
, , , , , , , , , / ()
-
116
.
. : = . : = . () ? ?
, . 5.68 : 4 . ? (. 568 : 4) ? (142) ? (1.42) ?
4
4
,
, , ,
-
117
. , , . . .
, . , . . .
( ) . .
5 7 /
, , , , , , , , , / ()
5 . .
5
+, , :, . . , , . (
, +, , : .
, , , , , , , , , , , , , , , ,
-
118
, . .
, , ).
+, , :. , .
, , +, , :. . .
+, , : , . ( , ). +, , : . .
, / ()
8
1 ,
.
1
. ?
, . http://www.visnos.com/solo/fraction-wall
, , , ,
-
119
, . 5 (n, 2n+5); 3 1 ( 3n-1 ); 180. 180 .
8
4
4
2
2
1
6
2
3
1
10
2
5
1
, . . .
:
50
102
1
:
2
1?
.
, . ?
: http://www.topmarks.co.uk/Flash.aspx?a=activity07
-
120
2 ,
.
,
2
3
1.
. . 30? 10?
. ? ?
, .5
2
10
3.
, .
10
4
5
2
10
3
5
2 .
. ,
(Fractions Made Faster) http://nrich.maths.org/4561 ( )
, , , , = , >, , <
-
121
5
2
10
3
.
3 . .
3
.
:12
3
24
6 = 1/
. . , .
4
3
2
1
4
1
. .
19 http://mathsframe.co.uk/en/resources/resource/288/Simplify_Fractions_Mine_Mayhem
, , , , = ,
-
122
4 1 ( )
, .
, . 5 (n, 2n+5); 3 1 ( 3n-1 ); 180.
4
: ? ? ? ? ? , . .
3
7
.
3
7
3
12 .
. ( .)
, , , , , ,
-
123
5 .
5
. ? ?
, 0-10, . .
, 0-10, . .
010
, , , , , , = , >, <
9
1 .
1
. ? ...? ...? . , . 36
, , , , , , , , , , , , , ,
-
124
4
1...
3
1...
2
1 .
, .
5
1
? ... 100
1
? ... 10
1
?
, . . .
, . 5
2
? ... 10
7o
? ...
100
89o ?
http://mathsframe.co.uk/en/resources/resource/285/Fractions_of_Numbers_Mine_Mayhem http://mathsframe.co.uk/en/resources/resource/264/Crystal_crash_fractions_numbers
-
125
2 .
2
. (.. ) ,
. 3
1
(=) 8. 3 8 .
, , .
5
2 = 10
,
5
2 =
10 10 5. , .
, , , , , , ,
-
126
3 .
3
, , , .
2
1 ?
4
3?
10
7? ?
( . 5,010
5
2
1 )
.
, . ?
? , . 2
1
1 2 (.. 1
2 ) 4
3 3
4.
http://mathsframe.co.uk/en/resources/resource/278/Convert_Fractions_to_Decimals
, , , , , , , , ,
-
127
, . , , .
4 2, 4, 5, 10 100, . .
4
3 : 2 = 2
3=
2
11
2
11 ?
(1,5)
, 3 : 2 =2
3 =
2
11 =1,5
2, 4, 5, 10 100. , .
:
, , , , , , , , ,
-
128
: 4 = 2
11
: 5 = 1,4 5 . .
5
. . / .
, . 9 5 . ?
1 6 ?
12
. 3
2o .
?
, , , , , , , , ,
10
1 .
1
5
1 .
? 1 : 5.
. 5
1 ? (0,2)
, , , , , , ()
-
129
10
2
5
1 ?
5
38
?
. 5
38
? (5
43) ?
5
43
. 43 : 5 =8,6
2
100
1,
10
1,
3
1,
4
1,
2
1
.
2
, . , . ? (
, (%), , , , , , ,
-
130
.)
100. ? .
2
1 ?
4
1?
5
1
10
1
100
1?
: 4
1 =
25%, 25%?
.
100 . : http://mathsframe.co.uk/en/resources/resource/277/Convert_Fractions_to_Percentages
3 .
3
. 10% . ?
10% 10
1
10
1
10 x10
, (%), , ,
-
131
100 10 . . 10% . ? 10%
10
1 50 .
. % .
, . 20% 320. .
, . : 32 . :
- 8 ; - 8 ; - 4 ; - 12
.
F 50 : http://nrich.maths.org/1283 .
-
132
: % % ? : % % ?
4 . . , , .
4
, .
, . 240 . 20% . ? , '% ' ' '% '.
, (%),
5 , 2, 10 100, , . 0,6 50%
10
7 .
5
, . , , , , , .
, (%), , , , , , ,
-
133
2
1= 0,5 = 50%
. ?
.
, . . (. ).
, , , : http://nrich.maths.org/1249 http://mathsframe.co.uk/en/resources/resource/120/match_fractions_decimals_and_percentages#.UCdcd2MsCEY
,
11
1 , 2, 10 100, , . 0,6
1
0.
, ( 10 5)
, (%), , , , , ,
-
134
50%
10
7.
. .
?
: . . ? .
.
, ,
2 . .
2
4:6 , . 4 6 .
, , , ,
-
135
10
4 4
10, , . 10 .
, . 1 2 . 12 . ?
, . , 2 1 . .
8 , ? 9 ?
-
136
3 . .
3
. / ?
, . 32 . ? , .
8 32 : 8 = 4 , 24 8
, (., , ) 2
, /, , ,
4 .
4
. , ,
,
, , , ,
-
137
, , . .
, . ? / ?
, , / , . 0,5% . 4500 . ? , 20 , ? , . . .
, , / . /
, , , , , , ,
-
138
5 . , , . .
5
, , / . .
, , / .
, , / . , /
, , , , , , , , , , ,
-
139
2:
12
1 2 . .
1
( 2D ). .
. . / . .
, .: http://math.about.com/library/tangramsm.pdf
2 , , , , , , , , , , , , , , , , , ,
-
140
: http://www.amblesideprimary.com/ambleweb/mentalmaths/tangram.html
2 ( , ) , .
2
: ? ( ). ?
?. . . .
. . , , , .
( )
2 , , , , , , , , , , , , ,
-
141
: : 4 : 2 : 2 : 2
3 ( , ) , .
3
, . . ?
: http://www.bbc.co.uk/bitesize/ks2/maths/shape_space/shapes/play/popup.shtml
2 , , , , , , , , , , , , ,
-
142
, . . . .
: http://nrich.maths.org/962
(), , , , , ,
4 3 . 2 3 , . .
4
, . 3 ? ... ? ?
. , . ?
3 .
3 : http://resources.hwb.wales.gov.uk/VTC/ngfl/maths/cynnal/polyhedra_ks2/polyhedra.html : http://www.mathsisfun.com/geometry/polyhedron-models.html 3 : http://www.bbc.co.uk/bitesize/ks2/maths/shape_space/3d_shapes/play/
3 , , , , , , , , , , , , , ,
-
143
5 2 3 , . 2 3 , .
5
. .
3 . . . , . 8 . 24 . 5 .
o http://nrich.maths.org/8 . http://nrich.maths.org/content/id/6445/Dotty%20paper.pdf : http://illuminations.nctm.org/Activity.aspx?id=4182 http://nrich.maths.org/42
3 , , , , , , , , , , , , , ,
13
1 2 3 , . 2 3
1
. . ?
, : http://illuminations.nctm.org/Activity.aspx?id=3521
3 , , , , , , , , , , ,
-
144
, .
. . :
3D .
. .
3 ( ) ()
, , , ,
2 2 3 , . 2 3 , .
2
. . , . ?
3 , , , , , , , , , , , , ,
-
145
3 , . 3 . ( , , .)
3 / : http://gwydir.demon.co.uk/jo/solid/other.htm#platonic 3 : http://www.learner.org/interactives/geometry/3d_prisms.html Pyramids http://www.learner.org/interactives/geometry/3d_pyramids.html : http://nrich.maths.org/2315
, ,
3 .
3
, . ? ...? ?
, 90, 180. (
, , (90), , , (180) , ,
-
146
, .
. (90) (180).
. , .
.) , : http://www.mathplayground.com/measuringangles.html https://www.khanacademy.org/math/geometry/parallel-and-perpendicular-lines/Angle_basics/e/measuring_angles , : https://www.khanacademy.org/math/basic-geo/basic-geo-angles/basic-geo-angle-basics/e/drawing-angles ( .)
4 , .
4
. . 10 , 5
: http://www.primaryresources.co.uk/online/angle.swf
, , (90), , , (180) , , ,
-
147
5 , 5 ( 10) , 10 . ?
. . . .
( 60, ).
( 2) http://nrich.maths.org/1235 (Olympic Turns) http://nrich.maths.org/8191
5 , .
5
. , .
, . http://www.easyvectors.com/browse/other/dog-01-drawn-with-straight-lines-clip-art
, , (90), , , (180) , ,
-
148
. /?
. .
: http://www.teachingideas.co.uk/art/starbursts.htm
, ,
14
1 180, . ; .
1
/ ?
. . . ? ( .) .
.
( ).
, , (90), , , (180) , , , , , ,
-
149
. .
.
.
2 180, . ; .
2
. . ? ?
. . . ? 360? ?
, : , ? , ?
, , , , , (90), , , (180) , , , , , , , .
-
150
3 180, . ; .
3
. ? , . ? 180.
. 80.
, . ? ?
/ /
, , , , , (90), , , (180) , , , , , , ,
-
151
4 .
4
. . ( ) . : / /? . ( ), ( ).
, , . 1: (0, 2), (0, 5), (0, -3), (0, -1) 2: (3, 0), (4, 0), (-3, 0) 3: (3, 3), (-1, -1), (9, 9), (-4, -4) 4: (-3, 3), (1, -1), (9, -9), (-4, 4) 5: (3, 5), (-3, 5), (6, -2), (-6, -2) (1, 7), (-1, 7) . .
4 : http://mathsframe.co.uk/en/resources/resource/79/itp_coordinates
, , , , r x-, y-, , , ,
-
152
, .
- x y -
.
4 : http://mathsframe.co.uk/en/resources/resource/153/coordinates__reasoning_about_position_and_shapes
5 .
5
,
- (0, 2), (2, 6) (4, 5) , 4- ? ?
- X (0, 2) (16, 10). X?
- (27, 43), (51, 43), (51, 15) (27, 15).
( )
, , , , x-, y-, , , , , ,
-
153
? .
.
(Ten Squares) http://nrich.maths.org/2654 (A Cartesian Puzzle) http://nrich.maths.org/1110
15
1 ( ) , 90 .
1
. , , . . .
: ?
: http://www.primaryresources.co.uk/online/rotation.swf http://www.harcourtschool.com/activity/elab2004/gr5/24.html ' (Rotation)' .
, , 90, , , , , ,
-
154
, .
. : , 90 ? ... ? ( ).
. .
x-, y-, , ,
2 ( ) , 90 .
2
90 . ?
, .
: http://www.bbc.co.uk/bitesize/ks2/maths/shape_space/transformation/play/ http://www.shodor.org/interactivate/activities/Transmographer/
(), () , , , , , , , , , , , , x-, y-, , ,
-
155
.
, , , 90, , , , , , , r x-, y-, , ,
3 ( ) , 90 .
3
, , . ? ? .
(), () , , , , , , , ,
-
156
. .
, .
, , , 90, , , , , , , x-, y-, , ,
4 ( ) , 90 .
4
. , . ? :
(), () , , , , , , , ,
-
157
? ... ?
, , , 90, , , , , , , r x-, y-, , ,
5 ( ) , 90 .
5
. .
(), () , , , , , , , ,
-
158
, . , , . . . .
(Transformation Tease) http://nrich.maths.org/1111
, , , 90, , , , , , , r x-, y-, , ,
-
159
2:
Resources
16
1 , , , . . .
1
, . , , .
, . ; ; .
, , , . , . ? ? ( .
, , , , (mm), (cm), (m), (km) (ml), (l) (g), (kg) , oC , , , , , , , , , ,
-
160
, ).
.
: http://www.taw.org.uk/lic/itp/itps/measuringCylinder_1_2.swf http://www.taw.org.uk/lic/itp/itps/measuringScales_1_8.swf http://www.taw.org.uk/lic/itp/itps/thermometer_1_7.swf http://www.taw.org.uk/lic/itp/itps/ruler_1_2.swf
2 , . , , , , .
2
. , .
, , , , (mm), (cm), (m), (km) (ml), (l) (g), (kg) , oC , ,
-
161
.
.
. , .
, . , . , , . 1,25 kg 1250 g.
. . , . : http://www.sheppardsoftware.com/mathgames/measurement/measurement_mania_metric.htm , ,
, , , , , , , , ,
3 . , . . ,
3
, . , mm, cm m.
. ? .
( )
, (mm), (cm), (m) , , , , ,
-
162
, , , .
, . 30 cm ... 400 mm ... 0.5 m ... ?
4 , . , , , .
4
. .
.
, (cm)
3 cm
4 cm
2 cm
2 cm
-
163
.
, . 24 cm. ?
5 . , . , , , .
5
. .
.
, (cm) , , cm2
,
-
164
. , . .
. . , , .
, . .
, . / . (Torn Shapes) http://nrich.maths.org/4963 (Fitted) http://nrich.maths.org/1854 (Making Rectangles) http://nrich.maths.org/6936
4 cm
2 cm
2 cm
3 cm
-
165
17
1 , .
1
100 m . . . 1 km . 1 ( 1.6 km). 1 . 1 ( 20 m x 20 m).
- ( . ).
100 m . - . https://www.google.co.uk/maps/place/Macedonia+(FYROM)/data=!4m2!3m1!1s0x1354159f70bc4809:0xe0f25ad6c81fc5b1?sa=X&ei=LPy7VIORGpfiaoy7gaAN&ved=0CCAQ8gEwAA ( ), . .
, , (m), (km) ,
2 () 24 . .
2
. : ?
/ http://resources.oswego.org/games/ClassClock/clockres.html
( ) , 24 , 12 ,
-
166
, , , , .
/-? /?
, :
2
13 ?
6 ? .
http://www.taw.org.uk/lic/itp/itps/tellTime_09.swf (Flashing Lights) http://nrich.maths.org/1014 : ? ? ... ?
(am), pm , , .... , ..., ..., ..., ..., .... ? ... /
3 , . , , , , .
3
, . -
? -
? -
?
- ? .
, , , , ?
-
167
, . , , , , , .
(Calendar Capers) http://nrich.maths.org/85
4 . , , , , .
4
. ? ? ( ) ... ? ? ?
. .
. , : 9 ... ...?
, . http://en.wikipedia.org/wiki/Time_zone#mediaviewer/File:World_Time_Zones_Map.png http://nrich.maths.org/4829 - : http://www.oxfam.org.uk/education/resources/everyone-counts
, . , , , ,
-
168
5 . , , , .
5
, . 10 . ? ...? ... ? 2 ?
. ( )? ( )? ? ? ( . , .)
, . , , , ,
-
169
2:
18
1 . , , , , , , () .
1
- . .
, : ? ? ?
, , - , , - - ( ) : http://www.censusatschool.org.uk/international-projects
, , , , , , , , , , ,
2 , , , , ,
2
. / ( )
, , , , , , , ,
-
170
, ( ) . a , . .
/ , . 120 cm 130 cm. . y ? ? ? ? . ? Koja e ...a? ? :
- , ( . )
.
, , , a , , , , , , ,
3 a , .
3
. o .
, . a a .
a, , , ,
-
171
.
. . . , . .
. ? ...? . . : , //? .
( , / ).
a a (, / a) (Match the matches)
-
172
(, / ) .
http://nrich.maths.org/4937/note
4 , , , , , , ( ) . , . .
4
, ( ). , , , , , . . , . ... ... ... ... ... ... .
, , , , , , , , , , , , , , , , , , , ,
-
173
5 .
5
. , , , , . , . , ? , ?
/ . , .
, , .
( ), , , . /
, , , , ,
-
174
. .
19
1 ( ).
1
, ? ?
, . . ? . .
, . ... ... ... ... ... .
, , , , , , , , ,
-
175
2 ( ).
2
. . . .
. ?
'' '' (Probably) http://nrich.maths.org/7245
, , , , , , , , ,
3 ( ).
3
: 10 . , . ; . ? ?
, , , , , , ,
-
176
. . ?
(Odds or Sixes) http://nrich.maths.org/2859 (Same or Different) http://nrich.maths.org/1176
, ,
4 ( ).
4
, : 20 10 10 . . .
. . .
(Winning the lottery) http://nrich.maths.org/7244
, , , , , , , , , ,
-
177
5 ( ). .
5
. , . . ? 0 . . (1). ? ? .
, . 1 4 , 3 4 , . , . , ? ? ( .)
, , . (Roll these Dice) http://nrich.maths.org/53
, , , , , , , , ,
-
178
, , . . ? ?
20
.
.
-
179
-
-
-
-
180
VI
VII
VII
VII
VII
VII