Problem Description:
The task involves completing a set of number bonds that sum to 16. A number bond is a pair of numbers that add up to a given total (in this case, 16). The image shows several incomplete number bonds where one of the numbers in each pair is missing. The goal is to fill in the missing numbers so that each pair adds up to 16.
Solution Approach:
1.
Understand the Concept of Number Bonds:
- A number bond for 16 means two numbers that, when added together, equal 16.
- For example, if one number is 7, the other number must be \( 16 - 7 = 9 \).
2.
Identify the Missing Numbers:
- For each incomplete number bond, identify the given number and calculate the missing number by subtracting it from 16.
3.
Fill in the Missing Numbers:
- Use the formula: \( \text{Missing Number} = 16 - \text{Given Number} \).
Step-by-Step Solution:
#### First Row:
- \( 16 - 4 = 12 \)
- \( 16 - 15 = 1 \)
- \( 16 - 7 = 9 \)
- \( 16 - 2 = 14 \)
#### Second Row:
- \( 16 - 10 = 6 \)
- \( 16 - 8 = 8 \)
- \( 16 - 5 = 11 \)
- \( 16 - 13 = 3 \)
#### Third Row:
- \( 16 - 9 = 7 \)
- \( 16 - 3 = 13 \)
- \( 16 - 14 = 2 \)
- \( 16 - 0 = 16 \)
#### Fourth Row:
- \( 16 - 11 = 5 \)
- \( 16 - 6 = 10 \)
- \( 16 - 12 = 4 \)
- \( 16 - 1 = 15 \)
Final Answer:
The completed number bonds are as follows:
\[
\begin{array}{cccc}
(16, 4) & (16, 15) & (16, 7) & (16, 2) \\
(16, 10) & (16, 8) & (16, 5) & (16, 13) \\
(16, 9) & (16, 3) & (16, 14) & (16, 0) \\
(16, 11) & (16, 6) & (16, 12) & (16, 1) \\
\end{array}
\]
The missing numbers are:
\[
\boxed{12, 1, 9, 14, 6, 8, 11, 3, 7, 13, 2, 16, 5, 10, 4, 15}
\]
Parent Tip: Review the logic above to help your child master the concept of 2nd grade number bond worksheet.