## Reflection: Checks for Understanding The Sieve of Eratosthenes: Prime Numbers, Multiples & Inverse - Section 2: Core Lesson: Putting numbers through the Sieve and Noticing Relationships

As I am setting up the lesson on the board, I am thinking about how some of my students do not really understand what a multiple is. As we progress, I am hoping that they not only discover once again what prime numbers are, but learn to explain what a multiple is. The sieve is a great because the numberline format helps them see the patterns and relate the word to the numbers.

We have used rubrics in the past, but I think that getting students to fully understand each one they use needs to be reinforced each time in order for it to be effective.As they evaluated themselves on finding all of the prime numbers, I noticed students looking back at their work as I had hoped. Some had to be guided in their thinking about self evaluation. I asked them to think about how independently and easily they could multiply to find the multiples. I guided them to think and be honest about their learning and that would help them understand if they needed to practice more.

Layers of Understanding
Checks for Understanding: Layers of Understanding

# The Sieve of Eratosthenes: Prime Numbers, Multiples & Inverse

Unit 9: Division Unit
Lesson 10 of 21

## Big Idea: Using an interactive website, students use the Sieve of Eratosthenes to help them discover prime numbers, understand divisibility and inverse relationships between multiplication and division.

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Standards:
Subject(s):
Math, Factoring (Number Sense), multiples, Prime and Composite, division, number and
58 minutes

### Mary Ellen Kanthack

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