Mathematics Assessment Interview Record Sheet Student Name: Abdul Date of MAI: Grade: 4 School: Elsewhere Primary School _City/Town: Interviewer Name: Comments: Comment on relevant factors or observations (attitude, confidence, oral language, difficulties, integration/special needs) Section A - COUNTING Growth Point OBSERVATION NOTES 1. Teddy task a. Estimate. 25 b. Actual 28 Error sequence (if any) none Growth Point 1 or GP 2 c. How many teddies? 2% correct count d. How many now? 27 (one less recounts) 2. Forwards/backwards/breaking sequence a. 1 - 320 (error sequence) b. 53 - 620 (error sequence) 1130 (error sequence) d. 24 - 100 (error sequence) e. 10 - 10 (error sequence) Growth Point 3 3. More and Less a. One more than 56 0 57 b. One less than 56 0 55 4. Counting from 0 by 10s, 5s, 2s. a. 10s (0-110) + fluent counting ; said , " the pattern b. 5s (0-45) goes on forever in C. 2s (0-30) d. 5 more than 35 40 Known fact ) 5more Growth Point 4 (with hold strategies) . Count on by ones said , " The pattern helps knowing . Skip count from 0 those answers ." e. 10 less than 70 60 (Known fact ) 10 less . Count back by ones . Skip count up to 5. Counting from x by 10s, 5s said , " you just have to look for the GP 5 a. 23-103 (10s) b. 24-44 (5s) M_ pattern . The number in The ones place will always be 3 " 6. Counting from x by y a. 11-35 (3s) = b. 20-55 (7s) 9 needed to use fingers by counting by ones and then stating the next Growth Paint 7. Counting money Method_ number in the sequence a. Stated total ($2.85) $. b. Money needed for $5 ($2.15) Page 1Section B - PLACE VALUE OBSERVATION NOTES Growth Point 8. Reading numerals: 1- 4 digit numbers a. All C Ist difficulty b. Cards problem cards c. Interpreting 1-digit numbers 7 teddies d. How many now? J(one less / recounts) e. Quantities to 10: (circle strategy used) Growth Points s 1 2 3& 4 30 20 40 10 60 50 80 70 90 sub sub sub sub sub sub sub sub sub sub count count count count count count count count count count 9a. Writing numerals (Calculator) All Ist difficulty _none 9b. Reading numerals: 1-4+ digit numbers 1st difficulty 234, 598, 672 said , " 234 thousand million, 598 thousand, six hundred and seventy two " 10. Ordering tasks - 1- 4 digit numbers 1-digit O 2-digit 0 3-digit M 4-digit bi Interpreting 2-digit numbers: 11. Bundling (circle strategy used) a. Correct bundling M _3 tens and 6 ones that's 36 10, 20, 30, 31, 32, 33, 34, 35, 36 1, 2, 3 tens and 1-6 ones, that's 10, 20, 30, 31-36 counts by ones other_ b. How many now? 26 m Growth Point 2 (with bold strategies . 26, that's one less ten OR that's 2 tens and 6 ones . 10, 20, 21, 22, 23, 24, 25, 26 . 1, 2 tens and 1-6 ones, that's 10, 20, 21-26 . counts by one . other said , " that line is in the middle ... and 12. 2-digit number line: Answer 50 0 (45-55) 50 in in the middle of O and 100 . " Explanation. Interpreting 3-digit numbers: to said, " I think it's 180 ... 180 is close to 13. 3-digit number line: Answer 180 #-(130-170) 200 14 Explanation. GP 3 (+ (8 - Q10) 14. Some more 10 more than 592 602 5(602) to had to use fingers and count on by 15. Some less ones to give answer 10 less than 408 398 (398) to had to do the same ; Used fingers and counted back 10 from 408 to Interpreting 4-digit numbers: 16. Ten more 398 G P 4 (+(8-10) 10 more than 2791. (2801) 17. One hundred less 100 less than 3027 (2927) ACU Research Version 2013 NOBSERVATION NOTES Extending and Applying Place Value Knowledge: 18. Capital cities a. Reading Darwin's population (127 532) 0 b. Reading Hobart's population (214 705) 0 c. Reading Melbourne's population (4 077 036) 0 d. Correct nomination of 4th largest (Perth) Explanation using place value J Growth Point 5 19. Number lines a. Estimate on 0-100 line (55 -75) b. Estimate on 0 -2000 line (400 -600 c. Estimate on 39 -172 line (65 -95) d. Estimate on 0 -1,000,000 line (700,000 -800,000) Section C - ADDITION & SUBTRACTION Growth Point 20. Counting on a. Answer _ 13 (circle strategy used) . Count on (either 9,10, 11, 12,13 or 4,5,6,7, 8...,12,13) GP 1 or GP 2 . Basic/Derived Strategy of Known fact . Count all (1,2,3,4,5,6,7,8,9, 10, 1 1, 12, 13) . Other b. Answer GP .Count all (1,2,3,4,5,6,7,8,9,10, 1 1,12, 13) .Other 21. Count back/ modelling all (8 -3) a. Answer _ 5 (circle strategy used) . Basic/Derived Strategy (.g., known fact +3=8) . Count back all, in head (7,6,5 or 8, 7,6,5) Count back all, with fingers only used to keep track (7,6,5 or 8, 7,6,5) . Modelling all (shows 8 fingers, then takes away 3) . Other b. Answer. . Modelling all (shows 8 fingers, then takes away 3) . Other Growth Point 3 (bold strategy in Q22 at least 22. Count down to/count up from (12 -9) Answer 3 (circle strategy used) said , " I know 9+ 3 is 12 ... 50 12 take . Basic Derived Strategy Je.g.,(known fact 9 + 3 =12) away 9 is 3 . " Count down to (1Z, 1I, 10 , 9) . Count up from (9, 10, 11, 12) Fingers used during 'count down to' or 'count up from' only to keep track Count back all (12, 1 1, 10, 9, 8, 7, 6, 5, 4, 3) . Modelling all (shows 12 'things ' then takes away 9 'things,' leaving 3) . Other _ 23. Basic strategies (circle strategy used) a. 4+4 8 . Doubles or known fact Count on (4, 5, 6, 7, 8) . Other . b. 2+19 2 21 M Growth Point 4 (All 23 correct & at least 3 bold . Commutativeity and count on (19, 20, 21) . Known fact . Count on from 2 (2, 3, 4,... 21) Other ACU Research Version 2013 3C. 4+6. 10 OBSERVATION NOTES . Tens fact or known fact . Count on (6, 7, 8, 9, 10 or 4, 5, 6, 7, 8, 9, 10) . Other d. 27 + 10 37 0 Add 10 (27, 37) Build to next 10 (to 30 then 7 more) Count on by Is (27, 28, 29, 30,...37) Growth Point 4 (All 23 correct & at least 3 bold strategies) . Other_ e. 10-7 3 1 . Known fact or fact family (eg., 7 +3 =10) . Count down to (10, 9, 8, 7 or 9, 8, 7) . Count up from (7, 8, 9, 10 or 8, 9, 10) Count back (10, 9, 8, 7, 6, 5, 4, 3) with or without fingers to keep track only. . Modelling all with fingers (shows10 fingers, take away 7) . Other_ 24. Derived strategies (circle strategy used) a. 12 - 6. 6 C . Using doubles of known facts . Count back (12, 1 1,...6) . Other. ......... b. 7 + 8 15 said . " It's like 7+7 but you have to Near doubles or known fact add one ... so it's 15 1 . Count on (7, 8, 9,... 15 or 8, 9, 10,...15) . Other C. 19- 15 4 5 .Fact family or known fact . Count down to (19. 18, 17, 16, 15) to used fingers to track , started at 15 Growth Point 5 (All 24 correct and at least 3 bold strategies) Count up from (15, 16, 17, 18, 19) and counted up t 19 ... said , " answer . Count back all (19, 18, 17,... 6, 5, 4) . Other is 41 " d. 16 +5 21 . Build to next ten (to 20 then 1 more) .Known fact . Add units, then plus 10 (11, 21) Other Counted on 5 using fingers to track, counting on from 16 to 21 e: 36 + 9 45 0 . Add 10 take 1 (36 , 46, 45) . Build to next ten (to 40 then 5 more) . Known fact Count on . Other Extending & Applying Strategies: 25. Multi-digit strategies a. 68 + 32 said , " I can't do that in my head . I need paper and pencil b. 25 + 99 to do that one . " c. 100 - 68 000 0 d. Half of 30 Growth Point 6 (Ques. 25- 28 all correct e. Double 26 26. How many digits? (circle strategy used) a. 134 + 689 (less than 1000) Explanation . Focus on 100s digit Other ACU Research Version 2013b. 1246 -358 (less than 1000) OBSERVATION NOTES Explanation . Focus on 100s digit Other 27. Estimating and calculating addition Growth Point 6 (Ques. 25- 28 all correct a. Estimate (within range 800 -1000) 0 b. Mental answer: c. Written answer: 28. Estimating and calculating subtraction a. Estimate (within range 200 -300) 0 b. Mental answer: c. Written answer: O Section D - MULTIPLICATION & DIVISION Growth Point Modelling Multiplication & Division: 29. Teddy cars (circle strategy used) a. Answer_ 8 0 b. Alternate Strategy: Skip count by Skip count by .Known fact 4 x2 .Known fact GP 1 or GP2 (with bold strategies) Count all by Is . Count all by Is . Other_ . Other 30. Teddies on the Mats (circle strategy used) a. Estimate _ 3 b. Answer 3 . Uses groups . Trial & error (using groups) said , " It's just 12 divided by 4 which is 3 ! . Share by Is . Other known fact - Partial Modelling Multiplication & Division: 31. Unifix train (circle strategy used a. Answer 15 b. Alternate Strategy: said, " I imagined 3 of the trains , and .Skip count by 5s .Skip count .Known fact then I just skip counted ... 5, 10 , 15 . " .Known fact Count all by Is . Count all by Is Other . Other_ 32. Tennis balls (circle strategy used) a. Answer 12 0 b. Alternate Strategy: said, " This is like the last question . I Growth Point 3 (with bold strategies) .Skip count by _3s Skip count imagined 3 tennis ball packets and .Known fact Known fact then I skip counted by 3. ... 3, 6, 9, 12." . Count all by Is . Count all by Is . Other . Other. 33. Dots array (circle strategy used) said , " these questions are like all the a. Answer 20 b. Alternate Strategy: .Skip count by 5s .Skip count same . You see the 5 in the column, .Known fact .Known fact then you can ship count ... 5, 10, 15, 20... . Count all by Is Count all by Is Other . Other Abstracting Multiplication & Division: 34. Biscuits on a tray (circle strategy used) paused .. ' said , " this one is hard . Answer Repeated addition . Skip count . Known fact I need to draw it to see. " Count all by Is . Other 35. Number of legs (circle strategy used) Growth Point 4 Q34-36 (with bold strategies a. Answer 18 b. Alternate Strategy: . Skip count by . Skip count . Known fact said , " there's 6 ... Then another 6 ... Known fact Count all by Is Count all by Is so it's 6 +6 which is 12 ... then Other repeated. . Other another 6 would be .. . ( used counting on ) addition 18 In 5 wing counting ACU Research Version 201336. At the movies (circle strategy used) ERVATION NOTES Answer Growth Point 4 Uses groups . Known fact . Share by Is paused ... said . " I think I need . Other some paper to draw it . I think it's got something to do with division " Multiplication Strategies: 37. Interpreting multiplication Read " 5 times 3 (e.g., 5 times 3) Correct drawing . Array . Number line . Groups . Other to said that , "there are 3 groups .. . and Explanation you put 5 in each one ! " 38. Multiplication problems a. 3 x 10 30 M c. 10 x 7 70 M e. 4 x 30 b. 2 x 7 14 M d. 3 x 50 # f. 5 x7 30 # Growth Point 5 with bold strategies 39. Cost of stickers (circle strategy used) a. Answer. ($3) . Known fact . Building up from known facts (e.g., 3x$1) Skip count . Other b. Stickers in 6 packets? Answer 0 (48) . Known fact . Building up from known facts (e.g., 5x8 + 8 or 4x6x2) . Skip count Other Division Strategies: 40. Interpreting division Read J(e.g., 12 divided by 4) Correct drawing . Draws 12 and partitions into 4 groups of 3 (partitive) . Draws 12 and partitions into 3 groups of 4 (quotitive) Explanation 41. Division problems a. 16 :2 c. 80 :4 J e. 35 +5 Growth Point 6 (with hold strategies) b. 60 +10 3 d. 24 :3 Of. 35 + 7 42. Washing windows (circle strategy used) a. Mental answer O . Known fact (6 minutes) . Building up from known facts (e.g., 24:8x2) Skip count . Other strategy. b. Written answer . Strategy_ ACU Research Version 2013 6