Beta - Maths Australia
Sample PagesBetaLesson 11 Rounding To Hundreds(1) Beta Instruction Manual - Lesson 11(2) Beta Student Text - Lesson 11(3) Beta Test Booklet - Test 11(4) Beta Solutions - Lesson 11Beta builds on the foundation in Alpha by applying students’mastery of single-digit addition and subtraction to multipledigit addition and subtraction. One of the stepping stonesbetween these two levels is the concept of Place Value, which isan important milestone for truly grasping any multiple-digitoperation.These Beta Sample Pages will give you an idea of Math-U-See'sunique method of instruction. However, the cornerstone ofMath-U-See's success in teaching Multiple-Digit Addition &Subtraction and other topics is our multi-sensory approach tomaths instruction. Integrated Manipulative Blocks and Lessonby-Lesson videos are used in every lesson throughout the BetaLevel to incorporate kinaesthetic, visual and auditory learning.If you believe that Beta is the level for your student to begin,please confirm this by completing our free online placementtests.To Your Success!!australian edition
Instruction Manual: Lesson 11 - Rounding to HundredsRounding to HundredsMultiple-Digit Addition with RegroupingAs we have been doing and always will do, add the units first. There may come a timewhen a student is so proficient at adding multiple digit numbers that he will add from theleft, but this is down the road and not the way the decimal system operates. At thisjuncture, always add from right to left, from smaller to larger. Remember that you addunits to units, tens to tens, and hundreds to hundreds. Whenever you add two numbers,always add the same values. “To combine, you must be the same kind.” Here are twoexamples followed by the same problems worked out with place value notationand regular notation. If you have lined paper I suggest you turn it sideways to helpkeep the values in the proper places.Rounding and Estimating to HundredsWhen adding large numbers, encourage the student to estimate the answer beforesolving it. We have learned how to round and estimate to the tens place, and now we wantto increase our understanding by rounding and estimating to the hundreds place.When you round a number to the nearest multiple of 100, there will be a number inthe hundreds place but only a zero in the tens and units places, which are to the right of thehundreds place. It doesn’t matter what numbers are present in the other place values, onlythe number to the immediate right of the place value being considered—in this case thetens place. This number determines whether to stay the same or be increased by one. I tellthe students this is why we call it rounding, because the tens and units are going to be a“round” zero.MATHSwww.mathsaustralia.com.auAUSTRALIAMATHS AUSTRALIA SAMPLE PAGES
Example 1Round 383 to the nearest hundreds place.The first step is to find the two multiples of a hundred that arenearest to 383. The lower one is 300 and the higher one is 400; 383 isbetween 300 and 400. If the student has trouble finding these numbers,begin by placing your finger over the 83, so that all you have is a 3 inthe hundreds place, which is 300. Then add one more to the hundreds tofind the 400. I often write the numbers 300 and 400 above thenumber 383 on both sides as in figure 1.Figure 1300383400 Look at the number in the tens place. Does it fall in 0 through 4 or in5 through 9? Since it is an 8, it is in the latter group, which means weround up to the next number, 400. Rounded to the nearest hundred, 383is 400.Example 2Round 547 to the nearest hundreds place.5005005475476001. Find the multiples of one hundred nearest to 547.6002. We know that 4 goes to the lower number, 500.In examples 3 and 4, the estimates are to the right in parentheses.Example 31 11 6 8 (200) 2 3 5 (200)4 0 3 (400)MATHSwww.mathsaustralia.com.auAUSTRALIAMATHS AUSTRALIA SAMPLE PAGES
Example 3 (continued)Five units plus 8 units equals 13, which is 1 ten and 3units. We move the ten (or carry it) to the tens place as indicated by the arrow.Then 6 tens plus 3 tens plus the 1 ten from the result of adding in the units placeequals 1 hundred. The 1 hundred is moved to the hundreds place as shown bythe second arrow. Adding all the hundreds gives us the answer of 4hundreds, 0 tens, and 3 units or 403. The picture below shows the result afterregrouping.1 11 6 8 (200) 2 3 5 (200) 4 0 3 (400)Example 3place-value notationregular notation11100 10168 100 60 8 235 200 30 5403 400 3MATHSwww.mathsaustralia.com.auAUSTRALIA11168 235403MATHS AUSTRALIA SAMPLE PAGES
Example 41 12 7 6 (300) 1 8 9 (200)4 6 5 (500)MATHSwww.mathsaustralia.com.auAUSTRALIAMATHS AUSTRALIA SAMPLE PAGES
1 12 7 6 (300) 1 8 9 (200) 4 6 5 (500)Example 4place-value notation11276 189465MATHSwww.mathsaustralia.com.auAUSTRALIA100 200 100 40010 70 6 80 9 60 5regular notation11276 189465MATHS AUSTRALIA SAMPLE PAGES
Student Text: Lesson Practice 11ARound to the nearest hundreds place.1. 190 2. 206 3. 355 Round to the nearest hundred and estimate the answer. Then find theexact answer. The first one is done for you.4.6.8.()( 400 ) ( 300 )( 700 )11364 29766 1359 25 4(( (())))168 452(( .628 17 5(( (())))537 233(( (())))123 88(( (())))MATHS AUSTRALIA SAMPLE PAGES
Student Text: Lesson Practice 11A10.676 145(( (())))11.299 311(( (())))12. First, 124 lights burned out on the big Christmas tree in town.Then 176 more lights burned out. How many lights need tobe THS AUSTRALIA SAMPLE PAGES
Student Text: Lesson Practice 11BRound to the nearest hundreds place.1. 476 2. 515 3. 610 Round to the nearest hundred and estimate the answer.Then find the exact answer.4.6.8.359 12 6(( (())))15 7 14 2(( (())))449 137(( .138 212(( (())))227 39(( (())))235 145(( (())))MATHS AUSTRALIA SAMPLE PAGES
Student Text: Lesson Practice 11B10.10 9 207(( (())))11.4 16 329(( (())))12. On Monday Steve read 123 pages of his book. On Tuesdayhe read 169 pages. How many pages has he read in all?MATHSwww.mathsaustralia.com.auAUSTRALIAMATHS AUSTRALIA SAMPLE PAGES
Student Text: Lesson Practice 11CRound to the nearest hundreds place.1. 450 2. 103 3. 278 Round to the nearest hundred and estimate the answer.Then find the exact answer.4.6.8.2 17 324(( (())))13 4 365(( (())))555 348(( .266 18(( (())))119 207(( (())))806 106(( (())))MATHS AUSTRALIA SAMPLE PAGES
Student Text: Lesson Practice 11C10.1 19 2 17(( (())))11.248 252(( (())))12. on our trip to Grandma’s house, Dad drove 263 kilometres andMom drove 179 kilometres. How far is it to Grandma’s house?MATHSwww.mathsaustralia.com.auAUSTRALIAMATHS AUSTRALIA SAMPLE PAGES
Student Text: Systematic Review 11DRound to the nearest hundreds place.1. 755 2. 115 Add. Regroup if needed.3.806 1064.248 2525.337 17 26.54 287.53 378.18 29Review subtraction facts. These problems review subtracting 0, 1, and 2.9.MATHSwww.mathsaustralia.com.auAUSTRALIA1 110.10 2MATHS AUSTRALIA SAMPLE PAGES
Student Text: Systematic Review 11D11.8 112.3 013.4 314.6 215.5 416.8 2Skip count by two and write the numbers.17. , 4, , , 10, , , , ,18. Andrew has five dollars and twenty–six cents. Write that amountwith a decimal point and dollar sign.19. We traveled 55 kilometres last week and 78 kilometres this week.How many kilometres did we travel those two weeks?20. Jim had 145 in his savings. He got 56 for his birthday. Howmuch money does Jim have now?MATHSwww.mathsaustralia.com.auAUSTRALIAMATHS AUSTRALIA SAMPLE PAGES
Student Text: Systematic Review 11ERound to the nearest hundreds place.1. 361 2. 209 Add. Regroup if needed.3.235 3654.300 4095.249 13 26.28 387.65 358.58 42Review subtraction facts. These problems review subtracting 0, 1, and2.9.4 2MATHSwww.mathsaustralia.com.auAUSTRALIA10.7 2MATHS AUSTRALIA SAMPLE PAGES
Student Text: Systematic Review 11E11.3 112.11 213.6 514.8 015.10 916.9 2Skip count by five and write the numbers.17. , , 15, , , , , , ,18. A tree grew 17 centimetres one year and 9 centimetres the next year.How much did it grow during those two years?19. Captain Cook spotted 138 penguins in the water and 256 on theshore. How many penguins were spotted by Captain Cook?20. Mom has five eggs. Two of the eggs are cracked. How many are notcracked? (Watch for word problems that review IAMATHS AUSTRALIA SAMPLE PAGES
Student Text: Systematic Review 11FRound to the nearest hundreds place.1. 519 2. 682 Add. Regroup if needed.3.429 2664.10 1 895.238 2436.92 87.48 328.63 27Review subtraction facts. These problems review subtracting by 2 anddifference of 2.9.5 3MATHSwww.mathsaustralia.com.auAUSTRALIA10.10 2MATHS AUSTRALIA SAMPLE PAGES
Student Text: Systematic Review 11F11.79 5212.6 213.9 714.8 215.10 816.11 9Skip count by ten and write the numbers.17. , , , 40, , , , , ,18. Deb has 21 red sweets and 48 green sweets. Round to the nearest 10and estimate how many sweets she has.19. Pete drove 512 kilometres one day and 345 the next day. How fardid he drive? Estimate first, and then solve.20. Drew lost eight dollars. If he finds six dollars, how many dollars arestill lost? Write your answer with a decimal point and dollar sign.MATHSwww.mathsaustralia.com.auAUSTRALIAMATHS AUSTRALIA SAMPLE PAGES
Test Booklet: Lesson 11 TestRound to the nearest hundreds place.1. 126 2. 314 3. 509 Add. Regroup if needed.4.1 3 2 4 1 85.6 7 9 2 7 66.5 2 0 1 8 87.8 7 2 88.4 5 4 29.3 9 1 5Review your subtraction facts.10.7 2MATHSwww.mathsaustralia.com.auAUSTRALIA11.5 1MATHS AUSTRALIA SAMPLE PAGES
Test Booklet: Lesson 11 Test12.8 013. 1 1 914.5 315.10 216.6 117.7 5Skip count by five and write the numbers.18., , , ,25,, , , ,19. Cameron had 476 stamps in his collection at the beginning of theyear. Since then he has collected 125 more. How many stamps doeshe have now? Estimate first, and then solve.20. Sara is six years old. How many years is it until she is ten?MATHSwww.mathsaustralia.com.auAUSTRALIAMATHS AUSTRALIA SAMPLE PAGES
3.4.5.6.4 dollars, 5 dimes, and 5 pennies" four dollars and fifty-five cents"1 dollar and 6 pennies" one dollar and six cents"3 dollars, 7 dimes, and 8 pennies" three dollars and seventy-eight cents"10, 20, 30, 40, 50, 60, 70, 80c/8.9.Solutions: Lesson 1110.3377 20 2539161 299010 7Lesson Practice 11A15.14.13.12.11.10.9.8.1. 20029 18 2.47 200miles3.miles4007 8 153 4 7 4. done 8.6927 725.8 810 790 296.611539 20 23377 7.96 4116 28(600) (200) 17 58 03(80011359(400) (300) 254613(700)1(500)53 7 (200) 233770(700)115, 10, 15c8.(200)16 8" four dollars andseventy2(500) 45cents"6 205. 4 dollars and 7(700dimes)" two dollars and sixty-five1 1 cents"(100)and 152pennies34. 2 dollars9., 6 dimes, 88 100()" three dollars and nine cents"2 113. 3 dollars and 9(200pen)nies" one dollar and sixteen cents"1167 62. 1 dollar,10.1 dime,(700and) 6 pennies 145 (100" one dollar andeighh)t cents"821(800)1. 1.0811Systematic Review10F11.(300)29 9 (300) 3 116 10(600)Lesson 00400done116 28(600) (200) 17 58 03(80011359(400) (300) 254613(700)1(500)53 7 (200) 233770(700)1116 8(200) (500) 45 26 20(700)1112 3(100) (100) 882 11(200)124 176 300 lights27 72 8.693 4 77 8 15 miles29 18 47 milesMATHSwww.mathsaustralia.com.auAUSTRALIAMATHS AUSTRALIA SAMPLE PAGES
Lesson Practice11C1.5003.300Solutions: Lesson112. 100LessonLessonPractice 11BLesson 8.8.9.9.10.10.11.11.12.12.5005005005006006001135 99((40035400)) 126 (100) (100) 126485500))485((50011138100))((100138 212 200() 212 (200)35 0300))350((300((200157157200)) 142 ) 142 ((100)100299((300299300))11((2002222 77200)) 3939 ((000000)) 266((202660))20011((400)4444 99400) 137137 ((100100)) 58((50058 66500))11((223 5520000))23 145 ()100 (100) 14538 00300))38((30011((100100))1010 99 ((200200)) 207 207 3300))3 1616((3001141166400))4((400 ((3003 2929 3300)) 7700))7 4545((700112323 169169 292292 003004.1217(200) (300) 32454 1(500)5.126 6(300) (000) 1828 4(300)6.(100)13 4(500)499MATHSwww.mathsaustralia.com.auAUSTRALIA (400) 3657.1119(100) (200) 207326(300)11126 6(300) (000) 1828 4(300)13 4(100) (400) 365499(500)1119(100) (200) 207326(300)11555(600) (300) 348903(900)180 6(800) (100) 1069 12(900)1119(100) (200) 217336(300)11248(200) (300) 25 2500(500)263 179 442 kmSystematic ReviewSystematicReview11D11D1.2.Lesson Practice11CLessonPractice 11C1217(200) (300) 32454 1(500)7.8.800100180 6 1069 121124 8 25250013 37 17 2509154 2882153 3790118 29MATHS AUSTRALIA SAMPLE PAGES
3.4.5.6.7.6.806 1069 121124 8 252500Solutions: Lesson 1113 37 17 2509154 2882153 37909.10.11.12.13.14.15.16.17.118 29471 1 010 2 88 1 73 0 34 3 16 2 45 4 18 2 62, 4, 6, 8, 10, 122, 14, 16, 18, 2018.19.20. 5.2555 78 133 km 145 56 2018.Systematic .11.12.13.14.15.16.17.18.19.20.300 409709124 9 13238 1128 3866165 3510018.58 421009. 4 2 210. 7 2 5MATHSwww.mathsaustralia.com.auAUSTRALIA11. 3 1 212. 11 2 9165 35100158 421004 2 27 2 53 1 211 2 96 5 18 0 810 9 19 2 75, 10, 15, 20, 25, 30, 35, 40, 45, 5017 9 26 cm138 256 394 penguins5 2 3 eggsSystematic ReviewSystematicReview11F11F1.2.3.4.5.40020011235 36 560028 014 29 26669 5110 1 891901238 24 348 1192 8100148 3280163 27905 3 210 2 87 5 26 2 49 7 28 2 610 8 211 9 210, 20, 30, 40, 500, 60, 70, 80, 90, 100(20) (50) (70) sweets(500) (300) (800)512 345 857 kmMATHS AUSTRALIA SAMPLE PAGES8 6 2 dolllars 2.00
9.10.11.12.13.5 3 210 2 87 5 26 2 49 7 2Solutions: Lesson 1110 8 211 9 210, 20, 30, 40, 500, 60, 70, 80, 90, 100(20) (50) (70) sweets(500) (300) (800)512 345 857 km20. 8 6 2 dolllars 2.00Lesson 12.done11 7. 0 5 1. 9 5 9. 00 3. 30 1. 4 5 4. 7 51 6. 50 2.7 5 9. 25 4. 00 2. 50 6. 501 5. 15 1.35 6.50 1. 00 .7 5 1. 7 5 2. 00 1. 90 3. 90Solutions: Lesson 11 Test1.2.3.10030050011 32 4185504.116 79 2769555.152 0 1887086.187 281157.18.45 8.7 5 42 .8087 9. 551 5.25 39.35 8.6039 2.65 5.50 8.15 15 2.95 3.65 6.605410.11.12.13.14.15.16.17.18.19.20.7 2 55 1 48 0 811 9 25 3 210 2 86 1 57 5 24.5, 10, 15, 20, 25, 30, 355, 40, 45, 50(500) (100) (600)476 125 601 stamps10 6 4 years5.MATHSwww.mathsaustralia.com.auAUSTRALIA6. 5. 00 2. 50 7. 501 6. 60 2. 40 9. 001 7. 3 5MATHS AUSTRALIA SAMPLE PAGES
CONTACTMegan - 0432 264 822megan@mathsaustralia.com.auW W W.MATHSAUSTR ALIA.COM.AU
round up to the next number, 400. Rounded to the nearest hundred, 383 is 400. Example 2 Round 547 to the nearest hundreds place. 500 600 547 500 600 547 1. Find the multiples of one hundred nearest to 547. 2. We know that 4 goes to the lower number, 500. In examples 3 and 4, the estimates are to the right in parentheses. Example 3 1 1 6 8 .
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0.9721 0.014. This value of beta is 33% lower than the antarctic beta diversity. The additive beta definition fails to rank these data sets correctly because the beta it produces is confounded with alpha. (When diversity is high, Gini-Simpson alpha and gamma both approach unity. Therefore if beta is defined as gamma minus alpha, beta must .
Year 7 & 8 Numeracy Workbook. Week Topic AFL 1 Addition 2 Subtraction 3 Mental Maths 4 Multiplication 5 Division 6 Mental Maths 7 BIDMAS 8 Percentages 9 Mental Maths 10 Simplifying Fractions 11 Adding Fractions 12 Mental Maths 13 Fractions-Decimals-Percentages 14 Ratio 15 Mental Maths 16 Collecting Like terms 17 Substitution 18 Vocabulary and Directed Numbers 19 Word Based Puzzle. Week 1 Maths .
PRIMARY MATHS SERIES SCHEME OF WORK – YEAR 6 This scheme of work is taken from the Maths — No Problem! Primary Maths Series, which is fully aligned with the 2014 English national curriculum for maths. It outlines the content and topic order of the series and indicates the level of depth needed to teach maths for mastery.
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Maths ‘After Maths’– KS3 students Miss Cahill Y16 3-4pm Maths After School Mentoring Club - Year 8.9.10 (29 Sept 15 to 22 Oct 15 inclusive) Maths Department LRC 3-3.45pm Maths Revision – Year 11 R-Band GCSE Maths
