Problem 1
Apply
★ [8 pts]
There are 4 plates on the table. Each plate has 3 cookies. How many cookies are there in all?
A. 7
B. 10
C. 12
D. 15
Multiplication is a shortcut for adding equal groups. Instead of adding 4 + 4 + 4, you can say 3 groups of 4, which is 3 × 4 = 12. Think of arranging objects in rows and columns like a grid: 3 rows with 4 in each row gives you 12 total. Every multiplication fact is just counting equal groups! When you know your multiplication facts from 0 to 9, you can solve problems quickly — like figuring out how many stickers are on 5 pages if each page has 6 stickers (5 × 6 = 30). A special trick: the order does not matter! 3 × 4 gives the same answer as 4 × 3. This is called the commutative property, and it cuts the number of facts you need to memorize nearly in half.
🧪 Interactive
Simulation
Multiplication Rule: groups × items per group = total
Commutative Property: a × b = b × a (order does not matter)
Zero Property: Any number × 0 = 0
Identity Property: Any number × 1 = that number
Problem: Emma has 5 bags of marbles. Each bag has 6 marbles. How many marbles does Emma have in all?
Identify the groups: There are 5 bags (groups) with 6 marbles (items per group)
Write the multiplication: 5 × 6 = ?
Skip count by 6: 6, 12, 18, 24, 30 — we counted five 6s
Verify with an array: Draw 5 rows of 6 dots: that is 30 dots total
Check with addition: 6 + 6 + 6 + 6 + 6 = 30 ✓
Answer: Emma has 30 marbles in all (5 × 6 = 30)
Multiplication is one of the most useful math skills in everyday life:
A. 7
B. 10
C. 12
D. 15
A. 9
B. 14
C. 12
D. 16
A. 30
B. 25
C. 35
D. 11
A. 24
B. 28
C. 36
D. 32
A. 24
B. 27
C. 12
D. 30
A. 50
B. 56
C. 48
D. 54
A. 15
B. 20
C. 25
D. 30
A. 24
B. 28
C. 26
D. 22
A. 72
B. 108
C. 216
D. 162
A. 50
B. 30
C. 45
D. 55
E1. What is 5 × 0?
A. 5
B. 0
C. 1
D. 50
E2. Which multiplication fact equals 24?
A. 4 × 6
B. 3 × 9
C. 5 × 5
D. 2 × 11
E3. If 6 × 7 = 42, what is 7 × 6?
A. 36
B. 48
C. 42
D. 49
Self-Reflection
How did you feel about this topic?
Confident / Okay / Confused - Circle one
What is one thing you must remember?
Challenge Problem: Try creating your own challenge problem!
1. Understand:
2. Plan:
3. Execute:
4. Check:
| # | Answer | Type | Solution |
|---|---|---|---|
| 1 | C | Apply | final_step: Answer: C (12). There are 12 cookies in all. step_1: Identify: 4 plates (groups) with 3 cookies each (items per group) step_2: Write the multiplication: 4 × 3 step_3: Skip count by 3 four times: 3, 6, 9, 12 |
| 2 | B | Remember | final_step: Answer: B (14). 7 × 2 = 14. step_1: We need to find 7 × 2 step_2: Skip count by 2 seven times: 2, 4, 6, 8, 10, 12, 14 |
| 3 | A | Apply | final_step: Answer: A (30). There are 30 toy cars. step_1: Identify: 6 shelves (groups) with 5 toy cars each step_2: Write the multiplication: 6 × 5 step_3: Skip count by 5 six times: 5, 10, 15, 20, 25, 30 |
| 4 | D | Remember | final_step: Answer: D (32). 8 × 4 = 32. step_1: We need to find 8 × 4 step_2: Skip count by 4 eight times: 4, 8, 12, 16, 20, 24, 28, 32 step_3: Or use the commutative property: 4 × 8 = 32 |
| 5 | B | Apply | final_step: Answer: B (27). There are 27 fish altogether. step_1: Identify: 9 tanks (groups) with 3 fish each step_2: Write the multiplication: 9 × 3 step_3: Skip count by 3 nine times: 3, 6, 9, 12, 15, 18, 21, 24, 27 |
| 6 | A | Apply | final_step: Answer: A (50). Sam has 50 stickers left. step_1: Find total stickers: 7 packs × 8 stickers = 56 step_2: Sam gives away 6 stickers: 56 - 6 = 50 |
| 7 | D | Analyze | final_step: Answer: D (30). The team practices 30 hours in 3 weeks. step_1: Hours per week: 5 days × 2 hours = 10 hours step_2: Total for 3 weeks: 10 hours × 3 = 30 hours |
| 8 | C | Apply | final_step: Answer: C (26). Mia has 26 colored pencils. step_1: Pencils in boxes: 3 boxes × 8 pencils = 24 step_2: Add the loose pencils: 24 + 2 = 26 |
| 9 | D | Analyze | final_step: Answer: D (162). The next number in the pattern is 162. step_1: Find the pattern: 2 × 3 = 6, 6 × 3 = 18, 18 × 3 = 54 step_2: Each number is multiplied by 3 step_3: Next number: 54 × 3 = 162 |
| 10 | A | Analyze | final_step: Answer: A (50). The bakery made 50 cupcakes total. step_1: Total trays: 6 (morning) + 4 (afternoon) = 10 trays step_2: Each tray holds 5 cupcakes: 10 × 5 = 50 |
Multiple Choice:
E1. B
E2. A
E3. C
Self-Reflection:
Sample answer: I feel okay about Multiplication Facts (0-9). One thing I must remember is to always check my work by substituting my answer back into the original equation.
Problem-Solving Strategy (4-Step):
See Answer Key for detailed solution steps.
| Problem # | My Score | Error Type | What I Learned / How to Improve |
|---|---|---|---|
| #9 | 0/15 | Concept | "I forgot to check my answer. Next time I will verify my solution." |
Error Types: Concept (개념), Procedure (절차), Calculation (계산), Reading (문제 이해), Careless (실수)
Review this worksheet on these dates for maximum retention:
Today (Initial Learning)
Tomorrow (Day 2)
Day 3 (Short-term consolidation)
Week 11 (1 week later)
Month 1 (Long-term retention)
Why this works: Ebbinghaus forgetting curve research shows spaced repetition increases retention by 200%+
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