Analyzing Numerical Patterns and Corresponding Terms

Generate a numerical pattern for each rule shown below.

Rule 1: Start at 0. Add 3.

Rule 2: Start at 0. Add 6.

What is the 5th term for rule 1? (Terms start when the pattern starts.)

• 12

• 24

• 9

• 15

Tags

CCSS.4.OA.C.5

Using the same rules and patterns from #1, determine the statements that best describe the relationship between the corresponding terms. Choose all that apply.

Rule 1: Start at 0. Add 3.

Rule 2: Start at 0. Add 6.

• Rule 2 is always 3 more than Rule 1.

• Rule 1 is always 3 less than Rule 2.

• Rule 2 is always double the amount of Rule 1.

• Rule 1 is always 2 times the amount of Rule 2.

• Rule 1 is always half the amount of Rule 2.

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.6

CCSS.6.EE.C.9

CCSS.6.RP.A.1

CCSS.6.RP.A.3

Mike and Sarah are packing boxes at a factory. Mike packs 30 boxes each hour. Sarah packs 15 boxes each hour. Use the chart to determine the number of boxes each person will have packed after an 8-hour shift.

• Mike: 225 boxes; Sarah: 135 boxes

• Mike: 120 boxes; Sarah: 240 boxes

• Mike: 240 boxes; Sarah: 120 boxes

• Mike: 250 boxes; Sarah: 130 boxes

Tags

CCSS.6.EE.B.7

CCSS.6.RP.A.1

CCSS.6.RP.A.2

CCSS.6.RP.A.3

Mike and Sarah are packing boxes at a factory. Mike packs 30 boxes each hour. Sarah packs 15 boxes each hour. Use the chart to determine two statements that are true about the relationship between the number of boxes Mike and Sarah have packed after each hour.

• Mike has always packed a total of 15 more boxes than Sarah.

• Mike has always packed twice as many boxes as Sarah.

• Sarah has always packed twice as many boxes as Mike.

• Sarah has always packed half as many boxes as Mike.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

CCSS.6.RP.A.3

Analyze the Stamp Collections table. What is the relationship between the total number of stamps Ava has collected after each month and the total number of stamps Dominic has collected after each month?

• Ava has collected 3 times the total number of stamps Dominic has collected.

• Ava has collected 1/3 of the total number of stamps Dominic has collected.

• Ava has collected 3 times less than the total number of stamps Dominic has collected.

• Ava has collected 40 more stamps than Dominic every month.

Tags

CCSS.6.RP.A.1

CCSS.6.RP.A.2

CCSS.6.RP.A.3

Emilio and Jose are reading the same book. Emilio reads 15 pages each day. Jose reads 25 pages every other day. At which term will Emilio and Jose have read the same number of pages? 

• Term 4

• Term 5

• Term 6

• Term 7

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7