My math mind map

week #1mathround #1: 4A=5Ground #2: I = 2G+Around #3: 1+362replace I with its equal2G +A+3ム ↓5G+A >4Athis is because in round #1 A1 equal to 5Gimportant solving steps • understand• plan• implement• look backGeorge Polya1-8 4→702 - 70 →563 - 56→424-42 books →28books5- 28 books→14 books6- 14 books → 0 books84 books to begin with7 handshakes w people21 handshakes

week #2° NUMERATION systemsbigger by 10×Base 10Expanded notation375= 300+70+5=（34100）（7410）（5x1）Base21215(2x53) (1*57) (2x51)(1x5)2x125）（1x25）（10）（250）+25+=128610325： （1X53）（0x53）（315）（2x59）(25)(0)(36)(20)(125 + 15+2) =142Base 3ones: 3°threes: 3^1nines : 3^2twenty-sevens: 3^333 = Base 3

week #3 notesex.1(1x2) + (1x2) +(04)+(02) +012) +（2）+16~2）←（2）=128+64+8+0+8+4+8+1=205Ex 212 =712= 1100 21.1112 =2. 31.24 = 137V(34)+(104) +(⅔%)3.374=344.10002=8(102)(002)+(05211002)5. 2212 3 = 25(213) + (2+3) + (1x3) + (2/3)6.= 43(3x12) + (7x12)Operations unitaddition → put togethersumsaddendsidentity property: a+o= acommutative property: a +b = b+a(order)associative property: (a+b) +c = a + (b+c)(grouping)Sub traction→take awaycomparison→ missing addendmultiplicationSkip Counting3x4 =12product repeated additionfactorsquotientdivisiondividend8:2 remainderrepeated subtraction(sometimes)Standard LONG

Week #4 notesPlace Valuelong158division101003l's6008002 boxes16/147160→105％→ 2600197cookies16 in a box how manycookies?AlternativealgorithmEx.Solve with493 cookies.30 → 20 book19 in a box nowmany11395gmultiplication algorithiamsStandardlattice23322Plac23x I4322vane3Expanded notation23к 1432226+310+4a0 + 22001736+011300+20+74x3=12792

week # 5addition algorithmsAmerican Standard+ 279855partial Sumsw/Place value76Partial sums576855lattice576+ 2798/55.55left to right57621a700140一5855Expandadnotation10010576 = 500 + 70 + 6+279 = 200+70 + 9$55 =800 + 50 + 5subtraction algarithms,• American StandardR L- 259287European / Mexican571¾7×9287Reverse Indian576259Left to right1130 16576- 38 93001200)Expandad notation516 =48+20+8* 219=200 +80 + 9B8 200 +80+92878017Integers57625- ID+30024

week 6 test day and reviewing test day

divisibility rules3 and 9: if the sum of the digits is divisible by ( )4 and 8: if the last two digits are divisible buy ( )2,5,and 10: use the last number2 and 3: by 3’s7’s↓6x2=1224To ← divisible by 7？X repeat if needed11’s/chop off methodrepeat if neededPrime numbers: only 2 factorsComposite numbers: many factorsPractice :2.) 136:2,4,83. )28: 1,2,4,7,14,284.) 20:1,2,4,5,10,205. )39:1,3,13,396.) 60: 1, 2,3,4,5,6,10, 12,15,20,30,607.）91:1,91,7,131= multiplicative identity element0 = additive identity elementPrime numbers 1-60:2,3,5 ,7,11,13 ,17,19,23,29,3137,41,43,47,53,59Prime factorization:The DNA or fingerprint et every composite number (always the same)24=2x2x2x336=2x3x2x3tree methodGreatest common factor - GCFleast common multiple- LCMGCF15075list methodPrime factorization method:find what they both have in common

Fractions½ +1/6covert to3/6+1/6=4/6Multiplication1/2x1/2=1/41/2x1/4=1/81/3x1/8=1/242/3x3/5=6/15Division2/3//4/52/3x5/4=10/12- Keep change flipPractice3. ) he ate half of the pie4.)half of the class is female and has dark hair.more practice problems 1. )3/4+3/4+1/2=2 cups of oil2.)He ate 3/8 of the pizza3.) 14 stars in total

test 2 study guide1 - 30 prime numbersdivisibility rules - applyPrime numbers - Prime fractorization treetrue/false statementsfind GCF /LCMfractions - problem solving- thursday and tuesday bring laptop -16 questions in totalPractice fraction problems1.) Part of a whole ⅔ + ¼8/12+3/12=11/121/12=4 barsjim - 12 barsKen - 16 bars Len - 16 bars48 bars in total2.)show me example Jim -6 barsKen-6 barsLen - 4 barsMax - 8 bars19 bars in totalpart of a partday 2 mind map day

Week 10review week!

Test week!!

week #12decimalstensOnes 1 wholedimepenny1/1001 to 10 relationship.128=one hundred and twenty-eight thousandths thirty-five thousands0.035= thirty five thouandsthree and thirty seven hundred thousands=3.00037pi = irrational numbers)(never ending)→ line up decimalsEx.largest2. 34• 853. 303' 18F2888F82 9 5 303 45 231 033Smallest 128 007 003terminating decimalrepeatingdecimalPractice •3/110.27211 3- 030228077300.5

https://www.youtube.com/watch?v=TvSKeTFsaj4Solving with percentages8 is what percent of 22?n = 236 percent22180.08x22:1.70is → =o+ → x8 percent of what # is 223•D× =22• 0811% of 45 is what?0.11X45=4.95n=221.00• 08 1222752200～=2759% of what # is 17 ?• 09/1737/45 = ?186•9|1700189IT is what % of• 25?2511765%• 6520|1301201002. )X700• 021400000 C3.)36888F414Students0.3%625|9075150150

https://www.youtube.com/watch?v=T02BtPogAIgPositiveChip Methodnegative numbers / integerszero pairAddition+5+＋十6Subtraction+x+ =++xー=--x+=--x-=+because you we the opposite of the answerFact Family Bonds

Review and test!!