Posters of extracts from the table below could help learners to see patterns within counting patterns:
Possible pattern 2s 4s 8s 5s 10s 20s
456; 458; 460; 462; 464; 466; 468; etc. 585; 587; 589; 591; 593; 595; 597; etc. 458; 462; 466; 470; 474; 478; 482; etc. 585; 589; 593; 597; 601; 605; 609; etc. 454; 462; 470; 478; 486; 494; 502; etc. 585; 593; 601; 609; 617; 625; 633; etc. 356; 361; 366; 371;376; 381; 386; etc. 773; 778; 783; 788; 793; 798; 803; etc. 286; 296; 306; 316; 326; 336; 346; etc. 749; 759; 769; 779; 789; 799; 809; etc. 634; 654; 674; 694; 714; 734; 754; etc. 437; 457; 477; 497; 517; 537; 557; etc.
100s 124; 224; 324; 424; 524; 624; 724; etc. 273; 373; 473; 573; 673; 773; 873; etc. 408; 458; 508; 558; 608; 658; 708; etc. 617; 667; 717; 767; 817; 867; 917; etc. 392;417; 442; 467; 492; 517; 542; etc. 549; 574; 599; 624; 649; 674; 699; etc. 456; 459; 462; 465; 468; 471; 474 etc. 623; 626; 629; 632; 635; 638; 641; etc. 544; 550; 556; 562; 568; 574; 580; etc. 807; 813; 819; 825; 831; 837; 843; etc. 784; 793; 802; 811; 820; 829; 838; etc. 523; 532; 541; 550; 559; 568; 577; etc. 624; 631; 638; 645; 652; 659; 666; etc. 485; 492; 499; 506; 513; 520; 527; etc.
50s 25s 3s 6s 9s 7s Pattern
all even all odd all even all odd all even all odd
alternate alternate all even all odd all even all odd all even all odd all even all odd
alternate alternate alternate alternate all even all odd
alternate alternate alternate alternate
Pattern inside the pattern
end in 0; 2; 4; 6; 8; 0; 2; 4; 6; 8; etc. end in 1; 3; 5; 7; 9; 1; 3; 5; 7; 9; etc. take every second even number take every second odd number
if ascending: add 10; subtract 2 if descending: subtract 10; add 2
every second number changes by 10; units alternate between two digits
280 = 28 tens; 740 = 74 tens; tens change by 1; units stay the same
630 = 63 tens; 430 = 43 tens; tens change by 2; units stay the same
hundreds digit changes by 1; other digits stay the same
400 = 40 tens; 610 = 61 tens; tens change by 5; units stay the same
tens change by 2, then 3, then 2, then 3; units alternate between two digits
consider all whole numbers; take 1; skip 2; take 1; skip 2; etc.
take every third even number take every third odd number
if ascending: add 10; subtract 1 if descending: subtract 10; add 1
if ascending: add 10; subtract 3 if descending: subtract 10; add 3
30 Section 3: Teaching and learning Mathematics
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