Solution:

12, 24, 36, 48, 60, 72, 84, 96, 108, 120
Sample response: The digit in the ones place changes the same way it does if the pattern is add 2. You are adding 2 ones each time when you add 12. It also makes all the numbers even. The digits in the tens place start increasing by 1, but increase by 2 after 5 numbers. This happens because you add two 5 times and make a ten. So every 5th number you are increasing by 2 tens.

Goals:

Generate a number or shape pattern that follows a given rule.
Identify apparent features of a number pattern that were not explicit in the rule itself.

Item & scoring guidance:

This item is worth a total of 2 points.
- Item 1 is worth 1 point and will be automatically scored.
- Item 2 is worth 1 point and will need to be manually scored.

Responding To Student Thinking:

Students may list some steps of the pattern because of an arithmetic error.

Students may notice some features that were not explicit in the rule. For example, they notice that the numbers in the pattern are even but don’t yet consider changes in the tens place.

Before the Warm-up of a lesson in the next section, ask students to share their work on the problem with a partner. Monitor for and invite students to share features of the pattern they noticed In the ones and tens place.

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Checkpoint Scoring Guidance