Fluently Add and Subtract Within 20
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2nd Grade Math › Fluently Add and Subtract Within 20
Solve: $13 - 8$
4
5
6
8
Explanation
This question tests 2nd grade fluency in adding and subtracting within 20, meaning solving these facts quickly and accurately using mental strategies or automatic recall (CCSS 2.OA.B.2: Fluently add and subtract within 20 using mental strategies. By end of Grade 2, know from memory all sums of two one-digit numbers). Fluency means answering quickly and correctly, ideally within a few seconds. Strategies for fluency include: (1) Make ten—decompose to make 10 first (8+7 → 8+2+5 → 10+5=15); (2) Doubles—know doubles facts (7+7=14), use for near doubles (7+8: one more than 7+7, so 15); (3) Think addition for subtraction (15-8: think '8 plus what equals 15? 8+7=15, so answer is 7'); (4) Fact families—if know 8+7=15, then know 15-7=8 and 15-8=7; (5) Memorization—automatic recall of facts. By end of 2nd grade, students should know these facts from memory. In this problem, student must subtract 13-8. To solve fluently, use think addition for subtraction (13-8: think '8 plus what equals 13? 8+5=13, so answer is 5'), or recall from memory (automatic: 13-8=5). Choice A is correct because subtracting 13-8 correctly equals 5 (verified by thinking addition: 8+5=13, so 13-8=5). This demonstrates fluency—quick, accurate calculation within 20. Choice C represents a common error like off by one (said 8 instead of 5, perhaps confusing with the subtrahend). This error typically happens when students miscount or confuse subtraction direction. To help students achieve fluency: Practice facts daily—quick drills, flashcards, games, timed exercises (with emphasis on improvement, not pressure). Teach strategies explicitly: make ten (show with ten frames or fingers: 8 fingers up, need 2 more to fill 10, take 2 from 7 leaving 5, now 10+5=15), doubles (memorize 6+6, 7+7, 8+8, 9+9), near doubles (one more/less than double). Build fact families: if practice 8+5=13, also practice 5+8=13, 13-5=8, 13-8=5—reduces facts to learn. Use games: card games, online fact practice, partner quizzes. Connect strategies: 'You can solve 13-8 by thinking: what plus 8 equals 13? We know 8+5=13, so 13-8=5.' Spiral review: keep practicing previously learned facts while introducing new ones. Celebrate progress toward automatic recall: 'You answered in 2 seconds—that's fluency!' Identify which facts each student still needs to work on, target practice. Use manipulatives initially (counters, ten frames) but fade toward mental calculation. Watch for: slow counting strategies (need to build toward recall), basic fact errors (13-8≠8), confusion between addition and subtraction, not using efficient strategies, giving up without trying mental strategies.
Solve: $15-8$
6
7
8
15
Explanation
This question tests 2nd grade fluency in adding and subtracting within 20, meaning solving these facts quickly and accurately using mental strategies or automatic recall (CCSS 2.OA.B.2: Fluently add and subtract within 20 using mental strategies. By end of Grade 2, know from memory all sums of two one-digit numbers). Fluency means answering quickly and correctly, ideally within a few seconds. Strategies for fluency include: (1) Make ten—decompose to make 10 first (8+7 → 8+2+5 → 10+5=15); (2) Doubles—know doubles facts (7+7=14), use for near doubles (7+8: one more than 7+7, so 15); (3) Think addition for subtraction (15-8: think '8 plus what equals 15? 8+7=15, so answer is 7'); (4) Fact families—if know 8+7=15, then know 15-7=8 and 15-8=7; (5) Memorization—automatic recall of facts. By end of 2nd grade, students should know these facts from memory. In this problem, the student must subtract 15-8. To solve fluently, use think addition for subtraction (15-8: think '8 plus what equals 15? 8+7=15, so answer is 7'), or recall from memory (automatic: 15-8=7). Choice B is correct because subtracting 15-8 correctly equals 7 (verified by thinking addition: 8+7=15, so 15-8=7). Choice A represents 8, a subtraction direction error (15-8: calculated 8-15 incorrectly or gave 8 instead of 7). This error typically happens when students confuse the order of subtraction or don't use efficient strategies. To help students achieve fluency: Practice facts daily—quick drills, flashcards, games, timed exercises (with emphasis on improvement, not pressure). Teach strategies explicitly: make ten (show with ten frames or fingers: 8 fingers up, need 2 more to fill 10, take 2 from 7 leaving 5, now 10+5=15), doubles (memorize 6+6, 7+7, 8+8, 9+9), near doubles (one more/less than double). Build fact families: if practice 8+7=15, also practice 7+8=15, 15-7=8, 15-8=7—reduces facts to learn. Use games: card games, online fact practice, partner quizzes. Connect strategies: 'You can solve 15-8 by thinking: what plus 8 equals 15? We know 8+7=15, so 15-8=7.' Spiral review: keep practicing previously learned facts while introducing new ones. Celebrate progress toward automatic recall: 'You answered in 2 seconds—that's fluency!' Identify which facts each student still needs to work on, target practice. Use manipulatives initially (counters, ten frames) but fade toward mental calculation. Watch for: slow counting strategies (need to build toward recall), basic fact errors (8+7≠16), confusion between addition and subtraction, not using efficient strategies, giving up without trying mental strategies.
$16-\underline{\ \ }=8$. What number goes in the blank?
6
7
8
9
Explanation
This question tests 2nd grade fluency in adding and subtracting within 20, meaning solving these facts quickly and accurately using mental strategies or automatic recall (CCSS 2.OA.B.2: Fluently add and subtract within 20 using mental strategies. By end of Grade 2, know from memory all sums of two one-digit numbers). Fluency means answering quickly and correctly, ideally within a few seconds. Strategies for fluency include: (1) Make ten—decompose to make 10 first (8+7 → 8+2+5 → 10+5=15); (2) Doubles—know doubles facts (7+7=14), use for near doubles (7+8: one more than 7+7, so 15); (3) Think addition for subtraction (15-8: think '8 plus what equals 15? 8+7=15, so answer is 7'); (4) Fact families—if know 8+7=15, then know 15-7=8 and 15-8=7; (5) Memorization—automatic recall of facts. By end of 2nd grade, students should know these facts from memory. In this problem, find the missing number in 16-=8. To solve fluently, use think addition (what plus 8 equals 16? 8+8=16, so 16-8=8), or recall from memory. Choice C is correct because for 16-=8, the answer is 8 since 16-8=8. Choice D represents 9, an off-by-one error (said 9 instead of 8—perhaps confused with 16-7=9). This error typically happens when students make strategy mistakes or lack automatic recall. To help students achieve fluency: Practice facts daily—quick drills, flashcards, games, timed exercises (with emphasis on improvement, not pressure). Teach strategies explicitly: make ten (show with ten frames or fingers: 8 fingers up, need 2 more to fill 10, take 2 from 7 leaving 5, now 10+5=15), doubles (memorize 6+6, 7+7, 8+8, 9+9), near doubles (one more/less than double). Build fact families: if practice 8+7=15, also practice 7+8=15, 15-7=8, 15-8=7—reduces facts to learn. Use games: card games, online fact practice, partner quizzes. Connect strategies: 'You can solve 15-8 by thinking: what plus 8 equals 15? We know 8+7=15, so 15-8=7.' Spiral review: keep practicing previously learned facts while introducing new ones. Celebrate progress toward automatic recall: 'You answered in 2 seconds—that's fluency!' Identify which facts each student still needs to work on, target practice. Use manipulatives initially (counters, ten frames) but fade toward mental calculation. Watch for: slow counting strategies (need to build toward recall), basic fact errors (8+7≠16), confusion between addition and subtraction, not using efficient strategies, giving up without trying mental strategies.
What is $9+6$?
13
14
15
16
Explanation
This question tests 2nd grade fluency in adding and subtracting within 20, meaning solving these facts quickly and accurately using mental strategies or automatic recall (CCSS 2.OA.B.2: Fluently add and subtract within 20 using mental strategies. By end of Grade 2, know from memory all sums of two one-digit numbers). Fluency means answering quickly and correctly, ideally within a few seconds. Strategies for fluency include: (1) Make ten—decompose to make 10 first (8+7 → 8+2+5 → 10+5=15); (2) Doubles—know doubles facts (7+7=14), use for near doubles (7+8: one more than 7+7, so 15); (3) Think addition for subtraction (15-8: think '8 plus what equals 15? 8+7=15, so answer is 7'); (4) Fact families—if know 8+7=15, then know 15-7=8 and 15-8=7; (5) Memorization—automatic recall of facts. By end of 2nd grade, students should know these facts from memory. In this problem, the student must add 9+6. To solve fluently, use make ten strategy (9+6: need 1 more to make 10, so break 6 into 1+5, then 9+1=10, 10+5=15), or use doubles (know 6+6=12, but for 9+6 think of it as near ten: 10+5=15 but adjust since 9 is one less, actually 15-1=14 wait, better: automatic recall 9+6=15). Choice C is correct because adding 9+6 correctly equals 15 (can verify with make ten: 9+1=10, 10+5=15, or count on: 9+6 is 10,11,12,13,14,15). Choice A represents 14, an off-by-one error (said 14 instead of 15—counting error or basic fact mistake). This error typically happens when students miscount while adding on or confuse similar facts like 9+5=14. To help students achieve fluency: Practice facts daily—quick drills, flashcards, games, timed exercises (with emphasis on improvement, not pressure). Teach strategies explicitly: make ten (show with ten frames or fingers: 9 fingers up, need 1 more to fill 10, take 1 from 6 leaving 5, now 10+5=15), doubles (memorize 6+6, 7+7, 8+8, 9+9), near doubles (one more/less than double). Build fact families: if practice 9+6=15, also practice 6+9=15, 15-6=9, 15-9=6—reduces facts to learn. Use games: card games, online fact practice, partner quizzes. Connect strategies: 'You can solve 15-9 by thinking: what plus 9 equals 15? We know 9+6=15, so 15-9=6.' Spiral review: keep practicing previously learned facts while introducing new ones. Celebrate progress toward automatic recall: 'You answered in 2 seconds—that's fluency!' Identify which facts each student still needs to work on, target practice. Use manipulatives initially (counters, ten frames) but fade toward mental calculation. Watch for: slow counting strategies (need to build toward recall), basic fact errors (9+6≠14), confusion between addition and subtraction, not using efficient strategies, giving up without trying mental strategies.
Sofia has 9 stickers and gets 7 more. How many stickers does she have now?
14
15
16
17
Explanation
This question tests 2nd grade fluency in adding and subtracting within 20, meaning solving these facts quickly and accurately using mental strategies or automatic recall (CCSS 2.OA.B.2: Fluently add and subtract within 20 using mental strategies. By end of Grade 2, know from memory all sums of two one-digit numbers). Fluency means answering quickly and correctly, ideally within a few seconds. Strategies for fluency include: (1) Make ten—decompose to make 10 first ($8+7 \rightarrow 8+2+5 \rightarrow 10+5=15$); (2) Doubles—know doubles facts ($7+7=14$), use for near doubles ($7+8$: one more than $7+7$, so $15$); (3) Think addition for subtraction ($15-8$: think '8 plus what equals 15? $8+7=15$, so answer is 7'); (4) Fact families—if know $8+7=15$, then know $15-7=8$ and $15-8=7$; (5) Memorization—automatic recall of facts. By end of 2nd grade, students should know these facts from memory. In this problem, solve word problem with 9 stickers +7 more. To solve fluently, use make ten strategy ($9+7$: need 1 more to make 10, so break 7 into 1+6, then $9+1=10$, $10+6=16$), or near doubles ($8+8=16$, adjust for $9+7=16$). Choice B is correct because 9 stickers +7 more =16 total (can verify with make ten: $9+1=10$, $10+6=16$, or automatic recall: $9+7=16$). This demonstrates fluency—quick, accurate calculation within 20. Choice A represents a common error like wrong operation (word problem said 'got more' but subtracted, getting 15 or other). This error typically happens when students use wrong operation or make counting errors. To help students achieve fluency: Practice facts daily—quick drills, flashcards, games, timed exercises (with emphasis on improvement, not pressure). Teach strategies explicitly: make ten (show with ten frames or fingers: 9 fingers up, need 1 more to fill 10, take 1 from 7 leaving 6, now $10+6=16$), doubles (memorize $6+6$, $7+7$, $8+8$, $9+9$), near doubles (one more/less than double). Build fact families: if practice $9+7=16$, also practice $7+9=16$, $16-7=9$, $16-9=7$—reduces facts to learn. Use games: card games, online fact practice, partner quizzes. Connect strategies: 'You can solve $16-9$ by thinking: what plus 9 equals 16? We know $9+7=16$, so $16-9=7$.' Spiral review: keep practicing previously learned facts while introducing new ones. Celebrate progress toward automatic recall: 'You answered in 2 seconds—that's fluency!' Identify which facts each student still needs to work on, target practice. Use manipulatives initially (counters, ten frames) but fade toward mental calculation. Watch for: slow counting strategies (need to build toward recall), basic fact errors ($9+7\neq15$), confusion between addition and subtraction, not using efficient strategies, giving up without trying mental strategies.
Solve: $16 - 9$
6
7
8
9
Explanation
This question tests 2nd grade fluency in adding and subtracting within 20, meaning solving these facts quickly and accurately using mental strategies or automatic recall (CCSS 2.OA.B.2: Fluently add and subtract within 20 using mental strategies. By end of Grade 2, know from memory all sums of two one-digit numbers). Fluency means answering quickly and correctly, ideally within a few seconds. Strategies for fluency include: (1) Make ten—decompose to make 10 first ($8+7 \rightarrow 8+2+5 \rightarrow 10+5=15$); (2) Doubles—know doubles facts ($7+7=14$), use for near doubles ($7+8$: one more than $7+7$, so 15); (3) Think addition for subtraction ($15-8$: think '8 plus what equals 15? $8+7=15$, so answer is 7'); (4) Fact families—if know $8+7=15$, then know $15-7=8$ and $15-8=7$; (5) Memorization—automatic recall of facts. By end of 2nd grade, students should know these facts from memory. In this problem, student must subtract $16-9$. To solve fluently, use think addition for subtraction ($16-9$: think '9 plus what equals 16? $9+7=16$, so answer is 7'), OR use fact families (know $9+7=16$, so $16-9=7$), OR recall from memory (automatic: $16-9=7$). Choice B is correct because subtracting $16-9$ correctly equals 7 (verified by thinking addition: $9+7=16$, so $16-9=7$). This demonstrates fluency—quick, accurate calculation within 20. Choice A represents off by one (said 8 instead of 7—counting error or basic fact mistake). This error typically happens when students miscount or confuse with nearby facts like $16-8=8$. To help students achieve fluency: Practice facts daily—quick drills, flashcards, games, timed exercises (with emphasis on improvement, not pressure). Teach strategies explicitly: make ten (show with ten frames or fingers: 8 fingers up, need 2 more to fill 10, take 2 from 7 leaving 5, now $10+5=15$), doubles (memorize $6+6$, $7+7$, $8+8$, $9+9$), near doubles (one more/less than double). Build fact families: if practice $8+7=15$, also practice $7+8=15$, $15-7=8$, $15-8=7$—reduces facts to learn. Use games: card games, online fact practice, partner quizzes. Connect strategies: 'You can solve $15-8$ by thinking: what plus 8 equals 15? We know $8+7=15$, so $15-8=7$.' Spiral review: keep practicing previously learned facts while introducing new ones. Celebrate progress toward automatic recall: 'You answered in 2 seconds—that's fluency!' Identify which facts each student still needs to work on, target practice. Use manipulatives initially (counters, ten frames) but fade toward mental calculation. Watch for: slow counting strategies (need to build toward recall), basic fact errors ($8+7\neq16$), confusion between addition and subtraction, not using efficient strategies, giving up without trying mental strategies.
Maya has 9 stickers and gets 7 more. How many stickers now?
13
14
15
16
Explanation
This question tests 2nd grade fluency in adding and subtracting within 20, meaning solving these facts quickly and accurately using mental strategies or automatic recall (CCSS 2.OA.B.2: Fluently add and subtract within 20 using mental strategies. By end of Grade 2, know from memory all sums of two one-digit numbers). Fluency means answering quickly and correctly, ideally within a few seconds. Strategies for fluency include: (1) Make ten—decompose to make 10 first (8+7 → 8+2+5 → 10+5=15); (2) Doubles—know doubles facts (7+7=14), use for near doubles (7+8: one more than 7+7, so 15); (3) Think addition for subtraction (15-8: think '8 plus what equals 15? 8+7=15, so answer is 7'); (4) Fact families—if know 8+7=15, then know 15-7=8 and 15-8=7; (5) Memorization—automatic recall of facts. By end of 2nd grade, students should know these facts from memory. In this problem, solve word problem with 9 stickers +7 more. To solve fluently, use make ten strategy (9+7: need 1 more to make 10, so break 7 into 1+6, then 9+1=10, 10+6=16), OR use near doubles (know 8+8=16, but 9+7 is same as 8+8), OR recall from memory (automatic: 9+7=16). Choice C is correct because adding 9+7 correctly equals 16 (can verify with make ten: 9+1=10, 10+6=16, or with doubles: 8+8=16, adjust for 9+7). This demonstrates fluency—quick, accurate calculation within 20. Choice A represents wrong operation (said 15—perhaps subtracted instead of added, like 9-7=2 but not, or confused with 8+7=15). This error typically happens when students use wrong operation or misunderstand the word problem. To help students achieve fluency: Practice facts daily—quick drills, flashcards, games, timed exercises (with emphasis on improvement, not pressure). Teach strategies explicitly: make ten (show with ten frames or fingers: 8 fingers up, need 2 more to fill 10, take 2 from 7 leaving 5, now 10+5=15), doubles (memorize 6+6, 7+7, 8+8, 9+9), near doubles (one more/less than double). Build fact families: if practice 8+7=15, also practice 7+8=15, 15-7=8, 15-8=7—reduces facts to learn. Use games: card games, online fact practice, partner quizzes. Connect strategies: 'You can solve 15-8 by thinking: what plus 8 equals 15? We know 8+7=15, so 15-8=7.' Spiral review: keep practicing previously learned facts while introducing new ones. Celebrate progress toward automatic recall: 'You answered in 2 seconds—that's fluency!' Identify which facts each student still needs to work on, target practice. Use manipulatives initially (counters, ten frames) but fade toward mental calculation. Watch for: slow counting strategies (need to build toward recall), basic fact errors (8+7≠16), confusion between addition and subtraction, not using efficient strategies, giving up without trying mental strategies.
What is $9 + 6$?
13
14
15
16
Explanation
This question tests 2nd grade fluency in adding and subtracting within 20, meaning solving these facts quickly and accurately using mental strategies or automatic recall (CCSS 2.OA.B.2: Fluently add and subtract within 20 using mental strategies. By end of Grade 2, know from memory all sums of two one-digit numbers). Fluency means answering quickly and correctly, ideally within a few seconds. Strategies for fluency include: (1) Make ten—decompose to make 10 first (8+7 → 8+2+5 → 10+5=15); (2) Doubles—know doubles facts (7+7=14), use for near doubles (7+8: one more than 7+7, so 15); (3) Think addition for subtraction (15-8: think '8 plus what equals 15? 8+7=15, so answer is 7'); (4) Fact families—if know 8+7=15, then know 15-7=8 and 15-8=7; (5) Memorization—automatic recall of facts. By end of 2nd grade, students should know these facts from memory. In this problem, student must add 9+6. To solve fluently, use make ten strategy (9+6: need 1 more to make 10, so break 6 into 1+5, then 9+1=10, 10+5=15), or use near doubles (know 6+6=12, but adjust for 9+6 by thinking 10+5=15 minus 1=14 wait, better: recall directly or count on). Choice C is correct because adding 9+6 correctly equals 15 (can verify with make ten: 9+1=10, 10+5=15, or with near doubles: 9+9=18 too far, but count on: 9+6=15). Choice A represents 14, an off-by-one error (said 14 instead of 15—counting error or basic fact mistake). This error typically happens when students miscount while adding on fingers or confuse with 8+6=14. To help students achieve fluency: Practice facts daily—quick drills, flashcards, games, timed exercises (with emphasis on improvement, not pressure). Teach strategies explicitly: make ten (show with ten frames or fingers: 9 fingers up, need 1 more to fill 10, take 1 from 6 leaving 5, now 10+5=15), doubles (memorize 6+6, 7+7, 8+8, 9+9), near doubles (one more/less than double). Build fact families: if practice 9+6=15, also practice 6+9=15, 15-6=9, 15-9=6—reduces facts to learn. Use games: card games, online fact practice, partner quizzes. Connect strategies: 'You can solve 15-9 by thinking: what plus 9 equals 15? We know 9+6=15, so 15-9=6.' Spiral review: keep practicing previously learned facts while introducing new ones. Celebrate progress toward automatic recall: 'You answered in 2 seconds—that's fluency!' Identify which facts each student still needs to work on, target practice. Use manipulatives initially (counters, ten frames) but fade toward mental calculation. Watch for: slow counting strategies (need to build toward recall), basic fact errors (9+6≠14), confusion between addition and subtraction, not using efficient strategies, giving up without trying mental strategies.
Solve: $15 - 8$
6
7
8
15
Explanation
This question tests 2nd grade fluency in adding and subtracting within 20, meaning solving these facts quickly and accurately using mental strategies or automatic recall (CCSS 2.OA.B.2: Fluently add and subtract within 20 using mental strategies. By end of Grade 2, know from memory all sums of two one-digit numbers). Fluency means answering quickly and correctly, ideally within a few seconds. Strategies for fluency include: (1) Make ten—decompose to make 10 first (8+7 → 8+2+5 → 10+5=15); (2) Doubles—know doubles facts (7+7=14), use for near doubles (7+8: one more than 7+7, so 15); (3) Think addition for subtraction (15-8: think '8 plus what equals 15? 8+7=15, so answer is 7'); (4) Fact families—if know 8+7=15, then know 15-7=8 and 15-8=7; (5) Memorization—automatic recall of facts. By end of 2nd grade, students should know these facts from memory. In this problem, student must subtract 15-8. To solve fluently, use think addition for subtraction (15-8: think '8 plus what equals 15? 8+7=15, so answer is 7'), or recall from memory (automatic: 15-8=7). Choice C is correct because subtracting 15-8 correctly equals 7 (verified by thinking addition: 8+7=15, so 15-8=7). This demonstrates fluency—quick, accurate calculation within 20. Choice A represents a common error like subtraction direction error (15-8: calculated 8-15 incorrectly or gave 8 instead of 7). This error typically happens when students confuse the order or don't use efficient strategies. To help students achieve fluency: Practice facts daily—quick drills, flashcards, games, timed exercises (with emphasis on improvement, not pressure). Teach strategies explicitly: make ten (show with ten frames or fingers: 8 fingers up, need 2 more to fill 10, take 2 from 7 leaving 5, now 10+5=15), doubles (memorize 6+6, 7+7, 8+8, 9+9), near doubles (one more/less than double). Build fact families: if practice 8+7=15, also practice 7+8=15, 15-7=8, 15-8=7—reduces facts to learn. Use games: card games, online fact practice, partner quizzes. Connect strategies: 'You can solve 15-8 by thinking: what plus 8 equals 15? We know 8+7=15, so 15-8=7.' Spiral review: keep practicing previously learned facts while introducing new ones. Celebrate progress toward automatic recall: 'You answered in 2 seconds—that's fluency!' Identify which facts each student still needs to work on, target practice. Use manipulatives initially (counters, ten frames) but fade toward mental calculation. Watch for: slow counting strategies (need to build toward recall), basic fact errors (15-8≠8), confusion between addition and subtraction, not using efficient strategies, giving up without trying mental strategies.
$16 - = 8$. What number goes in the blank?
7
8
9
16
Explanation
This question tests 2nd grade fluency in adding and subtracting within 20, meaning solving these facts quickly and accurately using mental strategies or automatic recall (CCSS 2.OA.B.2: Fluently add and subtract within 20 using mental strategies. By end of Grade 2, know from memory all sums of two one-digit numbers). Fluency means answering quickly and correctly, ideally within a few seconds. Strategies for fluency include: (1) Make ten—decompose to make 10 first (8+7 → 8+2+5 → 10+5=15); (2) Doubles—know doubles facts (7+7=14), use for near doubles (7+8: one more than 7+7, so 15); (3) Think addition for subtraction (15-8: think '8 plus what equals 15? 8+7=15, so answer is 7'); (4) Fact families—if know 8+7=15, then know 15-7=8 and 15-8=7; (5) Memorization—automatic recall of facts. By end of 2nd grade, students should know these facts from memory. In this problem, find missing number in 16-=8. To solve fluently, use think addition (8 plus what equals 16? 8+8=16, so missing is 8), or fact families (know 8+8=16, so 16-8=8). Choice A is correct because for 16-=8: answer is 8 because 16-8=8 (verified by doubles: 8+8=16, so 16-8=8). This demonstrates fluency—quick, accurate calculation within 20. Choice B represents a common error like giving wrong value (gave 16 instead of 8, perhaps confusing with the total). This error typically happens when students misunderstand missing number problems or lack automatic recall. To help students achieve fluency: Practice facts daily—quick drills, flashcards, games, timed exercises (with emphasis on improvement, not pressure). Teach strategies explicitly: make ten (show with ten frames or fingers: 8 fingers up, need 2 more to fill 10, take 2 from 7 leaving 5, now 10+5=15), doubles (memorize 6+6, 7+7, 8+8, 9+9), near doubles (one more/less than double). Build fact families: if practice 8+8=16, also practice 16-8=8—reduces facts to learn. Use games: card games, online fact practice, partner quizzes. Connect strategies: 'You can solve 16-8 by thinking: what plus 8 equals 16? We know 8+8=16, so 16-8=8.' Spiral review: keep practicing previously learned facts while introducing new ones. Celebrate progress toward automatic recall: 'You answered in 2 seconds—that's fluency!' Identify which facts each student still needs to work on, target practice. Use manipulatives initially (counters, ten frames) but fade toward mental calculation. Watch for: slow counting strategies (need to build toward recall), basic fact errors (16-16≠8), confusion between addition and subtraction, not using efficient strategies, giving up without trying mental strategies.