Lesson 3 Prime and Composite Numbers

    • Let’s identify prime and composite numbers.

Warm-up Choral Count: Twos and Fives

Count by 2, starting at 0.
Count by 5, starting at 0.

Activity 1 Card Sort: Area

Card sort display.

Your teacher will give you a set of cards to sort.

  1. Sort the cards by area. Record your sorting results. Be prepared to explain your choices.

  2. For each group of sorted cards, think of at least one more rectangle. Name its length and width. Be prepared to explain your reasoning.

Activity 2 Prime or Composite?

The table shows different areas. How many rectangles can be made for each area?

Complete the table and be prepared to explain or show your reasoning.

Rectangles with the same pair of side lengths should be counted only once. For example, if you count a rectangle with 4 units across and 6 units down, you don’t need to also count a rectangle with 6 units across and 4 units down.

area

how many rectangles?

prime or composite?

2 square units

10 square units

48 square units

11 square units

21 square units

23 square units

60 square units

32 square units

42 square units

31 square units

56 square units

Practice Problem

Problem 1

List the factor pairs of each number. Is each number prime or composite? Explain or show your reasoning.

  1. 37

  2. 27

  3. 77