Covers Unit 6 (Factors, multiples and patterns) including prime & composite numbers, factor pairs, rule patterns; and Unit 7 (Equivalent fractions and comparing fractions) with visual fraction models, common denominators, and benchmark fractions.
70 +20=1400 for estimating 68 apples × 21 crates. Accurately rounded 68 to 70 and 21 to 20, arriving at the exact estimated product of 1,400. The plus sign was a minor keyboard slip for multiplication. Awarded full credit (+1.0 pt).68 tun in to 70 thats grater than 68. Correctly identified that 68 rounded up, but did not finish evaluating whether 1,400 is an underestimate or overestimate of 1,428, nor account for 21 rounding down to 20. Awarded half credit (0.5 pt).1800. Placed the placeholder zero and calculated $60 \times 30 = 1,800$, slipping on $4 \times 30 = 120$ ($1,920$). Crucially, in Row 3 (5c), accurately calculated the correct total product 2,432. Awarded half credit (0.5 pt).7x7=49=+4 =53 for the division check equation of 53 ÷ 7. Chained equals signs, but mathematically and conceptually verified $(7 \times 7) + 4 = 53$. Awarded full credit (+1.0 pt).cant minis. Expressed the foundational principle of division as repeated subtraction: when dividing by 7, you cannot subtract another group of 7 once the remainder is under 7. Awarded half credit (0.5 pt).16 for $[ \quad ] \div 5 = 800$. Divided $80 \div 5 = 16$ instead of using inverse multiplication ($800 \times 5 = 4,000$). Zero credit (0 / 1).27000 and estimated quotient 3000. Place value slip with an extra zero on compatible dividend ($2,745 \to 2,700$), but correctly divided the compatible number ($27,000 \div 9 = 3,000$). Awarded 0.5 points for quotient arithmetic.60 70 for 438 ÷ 6. Selected lower range and did not provide multiplication explanation. Correct is between 70 and 80 ($6 \times 70 = 420, 6 \times 80 = 480$). Zero credit (0 / 1).16 vans for 135 ÷ 8 = 16 R 7. Did not round up to 17 vans so all 7 remaining students have a seat. Zero credit (0 / 1).| # | Concept | Student Answer | Correct Key | Status | Score | Study Guide Link |
|---|---|---|---|---|---|---|
| 2b | Estimate 68 × 21 (Nearest Ten) | 70 +20=1400 |
1,400 (70 × 20) | Accepted (Full Credit) | 1 / 1 | 📖 Concept 2 |
| 2c | Overestimate vs. Underestimate Explanation | 68 tun in to 70... |
Underestimate (1,400 < 1,428) | Half Credit | 0.5 / 1 | 📖 Concept 2 |
| 5b | Standard Algorithm Row 2 (64 × 30) | 1800 |
1,920 | Half Credit | 0.5 / 1 | 📖 Concept 5 |
| 7c | Division check equation for 53 ÷ 7 | 7x7=49=+4 =53 |
(7 × 7) + 4 = 53 | Accepted (Full Credit) | 1 / 1 | 📖 Concept 7 |
| 7d | Why remainder < divisor explanation | cant minis |
Can make another group of 7 | Half Credit | 0.5 / 1 | 📖 Concept 7 |
| 8d | Missing dividend: [ ] ÷ 5 = 800 | 16 |
4,000 (800 × 5) | Incorrect | 0 / 1 | 📖 Concept 8 |
| 9b | Compatible numbers for 2,745 ÷ 9 | 27000 ; 3000 |
2,700 ; 300 | Half Credit | 0.5 / 2 | 📖 Concept 9 |
| 9c | Range estimation for 438 ÷ 6 | 60 70 |
Between 70 and 80 | Incorrect | 0 / 1 | 📖 Concept 9 |
| 12a3 | Interpreting remainder: Passenger vans | 16 |
17 vans (Round up) | Incorrect | 0 / 1 | 📖 Concept 12 |
| All Others | Questions 1, 3, 4, 6, 10, 11, and remaining parts of 2, 5, 7, 8, 9, 12 | See test & screenshots | 100% correct | Correct | 46 / 46 | 📖 Full Guide |
thousands. Correctly identified the place value, but missed the digit value ($6,000$). Awarded 0.5 points.810 for $81\text{ ones} \times 10 = [\quad]\text{ tens}$. Product $81 \times 10 = 810$, but missed the unit word tens ($81\text{ tens}$). Awarded 0.5 points.660 for $66\text{ hundreds} \div 10 = [\quad]\text{ tens}$. $66\text{ hundreds} = 6,600 \div 10 = 660 = 66\text{ tens}$. Awarded 0.5 points for consistent unit-label grading with 4c.7 x 6=42 and solved Eli = 6. Marked fully accepted because the mathematical relationship and arithmetic are 100% understood; variable notation can be reinforced later. Awarded full credit (2/2).| # | Concept | Student Answer | Correct Key | Status | Score | Study Guide Link |
|---|---|---|---|---|---|---|
| 1b | Value of digit 6 in 406,208 | thousands |
6,000 (6 thousands) | Half Credit | 0.5 / 1 | 📖 Concept 1 |
| 4c | 81 ones × 10 = [ ] tens | 810 |
81 (810 = 81 tens) | Half Credit | 0.5 / 1 | 📖 Concept 4 |
| 4d | 66 hundreds ÷ 10 = [ ] tens | 660 | 66 (660 = 66 tens) | Half Credit | 0.5 / 1 | 📖 Concept 4 |
| 10b | Rounding range (Least & Greatest) | 28500 ; 28999 | 27,500 ; 28,499 | Incorrect | 0 / 2 | 📖 Concept 10 |
| 12b | Subtraction across zeros | 231165 | 231,265 | Incorrect | 0 / 1 | 📖 Concept 12 |
| 13b | Comparison equation & solve | 7 x 6=42 ; 6 | 7 × E = 42 ; 6 | Accepted (Full Credit) | 2 / 2 | 📖 Concept 13 |
| 18a | Multiply without regrouping | 6306 | 6,309 | Incorrect | 0 / 1 | 📖 Concept 18 |
| All Others | Questions 1a, 1c, 2, 3, 5-9, 10a, 11, 12a, 13a, 14-17, 18b, 18c | See full test breakdown | 100% correct | Correct | 50 / 50 | 📖 Full Guide |