Grade 5 Unit 7
Lesson 9: Generate Patterns
CC BY 2021 Illustrative Mathematics
Grade 5 Unit 7
Lesson 9: Generate Patterns
CC BY 2021 Illustrative Mathematics
Jada and Priya create patterns using rules. Use each rule to complete their patterns.
Jada’s rule: start with 0 and keep adding 4.
Jada and Priya create patterns using rules. Use each rule to complete their patterns.
Priya’s rule: start with 0 and keep adding 8.
If Jada and Priya continue their patterns, what number will be in Priya's pattern when Jada's pattern has 40.
If Jada and Priya continue their patterns, what number will be in Priya's pattern when Jada's pattern has 60.
If Jada and Priya continue their patterns, what number will be in Jada’s pattern when Priya’s pattern has 192?
What relationships do you notice between the numbers in Priya's pattern and the numbers in Jada's pattern?
Use each rule to create a pattern.
Jada’s rule: Start at 0. Keep adding 2.
Priya’s rule: Start at 0. Keep adding 6.
If the patterns continue:
What number will be in Priya’s pattern when Jada’s pattern has 34? Explain or show your reasoning.
Use each rule to create a pattern.
Jada’s rule: Start at 0. Keep adding 3.
Priya’s rule: Start at 0. Keep adding 9.
If the patterns continue,
What number will be in Priya’s pattern when Jada’s pattern has 54? Explain or show your reasoning.
List the first 10 numbers for these 2 patterns.
Jada’s rule: Start with 0 and keep adding 5.
List the first 10 numbers for these 2 patterns.
Priya’s rule: Start with 0 and keep adding 10.
What number will be in Priya’s pattern when Jada’s pattern has 100?
What relationship do you notice between corresponding numbers in the two patterns?
If the patterns continue:
What number will be in Jada’s pattern when Priya’s pattern has 120? Explain or show your reasoning.
What relationships do you notice between the numbers in Priya's pattern and the numbers in Jada's pattern?
If the patterns continue,
What number will be in Jada’s pattern when Priya’s pattern has 198? Explain or show your reasoning.
What relationships do you notice between the numbers in Priya’s pattern and the numbers in Jada’s pattern?