Explain the Pattern
Explain Grade 3 arithmetic patterns using repeated rules, table relationships, and operation properties.
Aligned to CCSS.Math.Content.3.OA.D.9. This page loads a playable maze, star scoring, a print-friendly worksheet, and an answer key.
Level quick facts
- Grade: 3
- Skill: Choose explanations that match repeated arithmetic patterns and operation properties.
- Standard: 3.OA.D.9
- Game mode: Gate maze for arithmetic patterns
- Estimated time: 6-10 minutes
- Success signal: Reach the finish with most gates correct; 3 stars means the student is ready for the next level.
- Next step: Continue to Mixed Pattern Explanations.
Common mistake to watch: Students may answer the next term correctly but not state the rule.
What this level covers
Choose explanations that match repeated arithmetic patterns and operation properties. It supports 3.OA.D.9 by turning the standard into a playable maze path and matching printable practice.
Students identify arithmetic patterns and explain them using properties of operations.
Gate questions
- Which rule fits 5, 10, 15, 20?
- The ×9 row is one group less than the ×10 row. If 10 × 6 = 60, what is 9 × 6?
- Products in the ×2 row are always what kind of number?
- In the ×4 row of a multiplication table, moving one step to the right adds what number?
- Which property explains why 3 × 7 and 7 × 3 have the same product?
- The ×9 row is one group less than the ×10 row. If 10 × 3 = 30, what is 9 × 3?
Extra practice
- Which rule fits 7, 14, 21, 28?
- The ×9 row is one group less than the ×10 row. If 10 × 6 = 60, what is 9 × 6?
- Products in the ×10 row are always what kind of number?
- In the ×7 row of a multiplication table, moving one step to the right adds what number?
- Which property explains why 3 × 7 and 7 × 3 have the same product?
- The ×9 row is one group less than the ×10 row. If 10 × 5 = 50, what is 9 × 5?
- Products in the ×6 row are always what kind of number?
- In the ×5 row of a multiplication table, moving one step to the right adds what number?
Printable worksheet / 3.OA.D.9
Level 6: Explain the Pattern
Identify arithmetic patterns, including addition-table and multiplication-table patterns, and explain them using properties of operations.
Gate Questions
- Which rule fits 5, 10, 15, 20?
- The ×9 row is one group less than the ×10 row. If 10 × 6 = 60, what is 9 × 6?
- Products in the ×2 row are always what kind of number?
- In the ×4 row of a multiplication table, moving one step to the right adds what number?
- Which property explains why 3 × 7 and 7 × 3 have the same product?
- The ×9 row is one group less than the ×10 row. If 10 × 3 = 30, what is 9 × 3?
Extra Practice
- Which rule fits 7, 14, 21, 28?
- The ×9 row is one group less than the ×10 row. If 10 × 6 = 60, what is 9 × 6?
- Products in the ×10 row are always what kind of number?
- In the ×7 row of a multiplication table, moving one step to the right adds what number?
- Which property explains why 3 × 7 and 7 × 3 have the same product?
- The ×9 row is one group less than the ×10 row. If 10 × 5 = 50, what is 9 × 5?
- Products in the ×6 row are always what kind of number?
- In the ×5 row of a multiplication table, moving one step to the right adds what number?
Standard
CCSS.Math.Content.3.OA.D.9
Teacher copy / 3.OA.D.9
Level 6: Answer Key
Identify arithmetic patterns, including addition-table and multiplication-table patterns, and explain them using properties of operations.
Answer Key
- Gate 1: add 5 each time
- Gate 2: 54
- Gate 3: even
- Gate 4: 4
- Gate 5: the factors can change order
- Gate 6: 27
Extra Practice Answers
- Practice 1: add 7 each time
- Practice 2: 54
- Practice 3: even
- Practice 4: 7
- Practice 5: the factors can change order
- Practice 6: 45
- Practice 7: even
- Practice 8: 5
Standard
CCSS.Math.Content.3.OA.D.9
Continue this learning path
- Open the 3.OA.D.9 series map
- Read the 3.OA.D.9 standard guide
- Previous level: Multiplication Row Relationships
- Next level: Mixed Pattern Explanations