C1.4 Create and describe patterns to illustrate relationships among whole numbers up to 100.
Activity 1: Decompose a Number to Show the Relationship Between Numbers
Ask students to analyze the following pattern.
A pattern is done with coins of 5 and ten cents. There are 8 rows. Rows one and two have 4 5 cents coins and one ten cent coin. Rows 3 and 4 have 3 5 cents and two ten cents. Row 5 has two 5 and ten cents. Row 6 has two 5 cents and one ten cents. Row 7 has one 5 cent and one ten cents. Row 8 has one 5 cents.
Ask students the following questions:
- When you analyze the following, what do you notice?
- What connections can you make when you compare the composition of the number 40? Justify your answer.
- Could you break down the number 40 differently to create another pattern? If so, how would you do it?
- Could you represent this pattern with other concrete materials? If so, which ones?
Activity 2: Create a Series of Related Operations
Present the following list of operations to students.
4 + 0 = 4
4 + 1 = 5
4 + 2 = 6
4 + 3 = 7
4 + 4 = 8
4 + 5 = 9
4 + 6 = 10
4 + 6 + 1 = 11
4 + 6 + 2 = 12
4 + 6 + 3 = 13
4 + 10 = 14
Have students complete the related operations below by referring to the list above and using their knowledge of the number facts of 4 to perform the calculations.
74 + 0 =
74 + 1 =
74 + 2 =
74 + 3 =
74 + 4 =
74 + 5 =
74 + 6 =
74 + 7 =
74 + 8 =
74 + 9 =
74 + 10 =
Ask students the following questions:
- What do you notice when you compare the two lists of operations?
- What are the patterns? What are the relationships between the numbers? How do you know?
- How can the number facts of 4 help you calculate larger numbers? Justify your answer.