SEPTEMBER 07 Math Fractins and Angles CLASS 6 Teacher Reprt Test Taken 4 5 6 7 8 Schl Name: EI Schl City: Ahmedabad CLASS SECTION EXAM CODE 6 B 8709 N. f test takers: 5 6.5 Average.5 9.0 Range (Scres are scaled t 0) da@ei-india.cm www.ei-india.cm
Class 6 Math Teacher Reprt Fractins and Angles September 07 Scre Gauge This sectin shws the verall scre f students, and hw they have perfrmed n questins testing Prcedure/Knwledge and Understanding/Applicatin. The verall scre is runded t the nearest 0.5. 6.5/0 64% 56% Overall Scre Prcedure/Knwledge Understanding/Applicatin Scre Distributin Chart This sectin shws the distributin f the student scres (runded t the nearest 0.5) fr the test. 6.5/0 6 max min 0 0.5.5.5.5 4 4.5 5 5.5 6 6.5 7 7.5 8 8.5 9 9.5 0 min max Minimum Scre Maximum Scre Sectin Average Scre The number inside each circle indicates the number f students btaining that scre Page
Class 6 Math Teacher Reprt Fractins and Angles September 07 C-R-O Chart This sectin categrises questins as Critical, Recmmended and Optinal. These are pririty levels assigned t questins that need t be revisited t explain the cncepts behind them. 08 07 QUESTIONS QUESTIONS 0 QUESTIONS Discussin Pririty Cunt Q.N. Critical 07, 4, 7, 0, 9, 0, Must revisit withut exceptin Recmmended 08 5, 6, 9,,, 5, 6, 8 Imprtant t revisit, but lwer pririty than Critical Optinal 0 All ther questins Optinal t revisit Questin numbers are as per versin Remediatin Supprt Out f the critical and the recmmended questins identified abve, here are sme remediatin ideas develped by EI's subject specialists. Questin numbers are based n paper versin. What fractin f the fish in the aquarium are mving twards the weeds? Half Quarter 4 Three Quarters One Third Critical Crrect Answer: Optin Optin Optin Optin 4 9% % % 47% Distractr Explanatin: Students are expected t see that nly ne pair f fish ut f 4 pairs are swimming twards the weeds. Students answering ptin 4, dn't understand that a fractin represents a 'part' f the 'whle'. They seem t think that the number f fish swimming twards the weeds crrespnds t the numeratr and that swimming ppsite (6 f them) crrespnds t the denminatr. Students wh answer ptins r may be making a randm guess. Remedial Measure: Students at this level, in general, are mre cmfrtable with 'half'. S it wuld be better t start with half, then mve n t and 4 ther fractins. The fllwing activity will help students t grup bjects apprpriately and identify the fractin f bjects in a cllectin. Give each student, r a grup f students multi-link cubes f different clurs. Ask them t make a twer f 4 cubes such that half the cubes in the twer are f the same clur. Ask them t justify that their twers have half the cubes f the same clur. Make twers f 4 cubes as shwn belw and ask them what fractin f the cubes in the twer are green. Page
Class 6 Math Teacher Reprt Fractins and Angles September 07 white cube green cube Let them ntice the rearrangement f cubes dne by yu t make ther twers. Help them see each f these twers have half the cubes green. Yu may als put cubes in a rw frming a blck and help them identify 'half'. In this way lead them t cnclude that the psitin f cubes in the twer r arrangement f cubes in a rw, dn't matter. In each f these cases, half the cubes in the cllectin are f the same clur. By this activity students will be able t see that cubes f the same clur is nt necessarily be tgether in the twer. Ask students t make twers with f the cubes f the same clur by giving them cubes f r mre different clurs and thus 4 help them cnslidate their learning. 4 Between which f these pairs f whle numbers des 4 lie? 4 between 0 and between and between 4 and 4 4 between 4 and 84 Critical Crrect Answer: Optin Optin Optin Optin 4 8% 6% 46% 0% Distractr Explanatin: T answer this questin crrectly, students shuld understand the cncept f imprper fractins and they shuld be able t cnvert imprper fractin t mixed fractin. Students wh have chsen ptin crrectly understd that 4 =, 4 4 which lies between and. Students wh have chsen ptin appear t have sme sense f the cncept, hwever, they pssibly feel that all fractins refer t a value f less than. Students als pssibly see a fractin as tw separate numbers, rather than as a frm f representing a single number. This is evident frm the significant prprtin f students wh have chsen ptin. Remedial Measures: Diagrams may be used t help students visually understand this cncept. Beginning with simple imprper fractins, demnstrate hw these can be changed int the frm f a mixed fractin. Ask them what fractinal number they wuld use t represent ne and a half pizzas, r tw and a quarter kg f rice, etc. Help them see that means + and therefre is a number between and. Help students represent different mixed fractins n a number line. Make them aware f why is the same as. Diagrams such as the ne shwn belw may be used whle and half halves ut f and whles Thus, help them realise that 4 can als be written + and that this number will therefre lie between and. 4 4 Page
Class 6 Math Teacher Reprt Fractins and Angles September 07 8 A trn paper has a crner as right angle. It is turned arund in psitins as shwn belw. Psitin Psitin Psitin In which f these psitins is the angle marked a right angle? nly Psitin all Psitins, and nly Psitins and nne f the Psitins, r 4 Recmmended Crrect Answer: Optin Optin Optin Optin 4 8% 7% 4% % Distractr Explanatin: Students wh have selected ptin knw that turning the paper t different psitins will nt change the angle marked s in all the psitins, the marked angle will remain t be a right angle. Students wh have selected ptin are able t identify a right angle nly when ne f its arms is hrizntal and the ther vertical. Students wh have answered ptin are nt able t identify a right angle in nn standard rientatins. Students wh have answered ptin 4 may have felt that the angle changes when the paper is turned. Remedial Measure: Help students understand angle as an amunt f turn by hw much shuld ne arm be rtated s that it cincides with the ther. Help them understand that this des nt change when the figure as a whle is rtated. Ask them t spt ut the right angles arund them - in the crner f a rm, r the angle between the edges f a bk etc. Let them make a paper cut ut f the letter L and actually place it alng these right angles t see if it fits. Slwly they can g n t making a mental cmparisn with the letter L t decide if an angle is a right angle. Make sure that yu expse them t right angles in all rientatins, s that they dn't frm fixed mental images like a right angle has ne arm hrizntal and anther vertical. Page 4
Class 6 Math Teacher Reprt Fractins and Angles September 07 Tpic-wise Perfrmance This sectin indicates students perfrmance n each f the tpics tested. Tpic Perfrmance Basic Understanding f Mixed and Imprper Fractins 4% Cmparisn and rdering f Mixed and Imprper Fractins 4% O Operatins n Fractins 6% Basic Understanding f an Angle 56% Classifying Angles 55% O Best Perfrming Tpic! Tpic Recmmended fr Remediatin Respnse Distributin This sectin shws the respnses prvided by the students fr each questin. We have highlighted the crrect answer in green. The questin numbers in the table belw are based n paper versin. Tpic Q. N. Optin Optin Optin Optin 4 Skipped Pririty Type 9% % % 47% 0% C U % % 8% 76% 0% O U Basic Understanding f Mixed 6% 9% 8% 67% 0% O U and Imprper Fractins 4 8% 6% 46% 0% 0% C U 5 46% 4% % 6% % R U 6 % 6% 59% % 0% R P 7 5% 4% % 9% 0% C U Cmparisn and rdering f 8 8% % % 68% 0% O U Mixed and Imprper Fractins 9 57% 8% 4% % 0% R U 0 6% 0% 67% 8% 0% C P 8% 56% 5% % 0% R P Operatins n 6% 58% % 6% 0% R U Fractins 4% 8% % % 0% O U 4 % 6% 9% 5% 0% O P 5 % 4% 55% 6% % R P Basic Understanding 6 % 4% 5% 0% 0% R U f an Angle 7 8% 8% % 6% 0% O U 8 8% 7% 4% % 0% R U 9 % 50% 6% % 0% C P 0 7% % 4% % 0% C U Classifying 9% 8% 0% 0% 0% O U Angles 8% 4% 6% 7% 0% O U 5% 6% 6% 6% 0% C U 4 4% 4% 4% % 0% R U 5 % % 9% % 0% O U Pririty: C Critical, R Recmmended, O Optinal Type: P Prcedure/Knwledge U Understanding/Applicatin Page 5
Class 6 Math Teacher Reprt Fractins and Angles September 07 Class Screcard This sectin shws the individual perfrmances f students in the test in the descending rder f their perfrmance. Sl. N. Rll N. Student Name Crrect (ut f 5) Scre 8 Nishchal Shukla 9.0 Snigdha Serikari 9.0 Karn J 8.5 4 9 Dipti Lal 0 8.0 5 0 Divya S 0 8.0 6 Haripriya Valayaputtur 0 8.0 7 7 David Athaide 9 7.5 8 8 Diana 9 7.5 9 5 Manj M 8 7.0 0 6 Nakul Rajagpal 8 7.0 7 Neha Kaktan 8 7.0 0 Rajendra Syantar 6 6.5 Simn Talreja 6 6.5 4 Aniruddh Sastry 5 6.0 5 Ankit K 5 6.0 6 K C Siddharth 5 6.0 7 4 Mallikharjuna Simha 5 6.0 8 4 Sudhir G 5 6.0 9 5 Swati Jha 5 6.0 0 Anuja K 4 5.5 6 Binny Alexander 4 5.5 4 Archana K 5.0 5 Arti Palnitkar 5.0 4 Sinjita Basu 9.5 5 9 Praveena K 4.5 O O O!!! (Scres are runded ff t the nearest 0.5) Ab - Absent/did nt attempt O >80%! <50% Page 6
Class 6 Math Teacher Reprt Fractins and Angles September 07 Answer Key The table belw gives the crrect answer fr each questin in this test acrss all paper versins used. Q.N Crrect Answer Versin Versin Versin Versin 4 4 4 4 4 5 4 4 6 4 4 7 8 4 9 4 0 4 4 4 4 4 5 6 7 4 4 4 8 4 9 4 4 0 4 4 4 4 4 4 5 4 Page 7