Problem Description:
The task involves solving a math maze where the goal is to determine which doors are locked based on simple arithmetic problems. The theme revolves around "Friends of Ten," meaning pairs of numbers that add up to 10. The student must solve the equations provided and use the results to navigate through the maze.
Equations Provided:
1. \( 5 + \_ = 10 \)
2. \( 3 + \_ = 10 \)
3. \( 1 + \_ = 10 \)
4. \( 6 + \_ = 10 \)
5. \( 2 + \_ = 10 \)
6. \( 7 + \_ = 10 \)
Step-by-Step Solution:
#### Solving Each Equation:
1.
Equation 1: \( 5 + \_ = 10 \)
- To find the missing number, subtract 5 from 10.
- \( 10 - 5 = 5 \)
- So, \( 5 + 5 = 10 \).
-
Answer: 5
2.
Equation 2: \( 3 + \_ = 10 \)
- Subtract 3 from 10.
- \( 10 - 3 = 7 \)
- So, \( 3 + 7 = 10 \).
-
Answer: 7
3.
Equation 3: \( 1 + \_ = 10 \)
- Subtract 1 from 10.
- \( 10 - 1 = 9 \)
- So, \( 1 + 9 = 10 \).
-
Answer: 9
4.
Equation 4: \( 6 + \_ = 10 \)
- Subtract 6 from 10.
- \( 10 - 6 = 4 \)
- So, \( 6 + 4 = 10 \).
-
Answer: 4
5.
Equation 5: \( 2 + \_ = 10 \)
- Subtract 2 from 10.
- \( 10 - 2 = 8 \)
- So, \( 2 + 8 = 10 \).
-
Answer: 8
6.
Equation 6: \( 7 + \_ = 10 \)
- Subtract 7 from 10.
- \( 10 - 7 = 3 \)
- So, \( 7 + 3 = 10 \).
-
Answer: 3
Results:
The solutions to the equations are:
1. \( 5 \)
2. \( 7 \)
3. \( 9 \)
4. \( 4 \)
5. \( 8 \)
6. \( 3 \)
Navigating the Maze:
Using these answers, the student should color the doors corresponding to the numbers 5, 7, 9, 4, 8, and 3 as locked. Then, they should draw a path from the starting point to the finish, avoiding the locked doors.
Final Answer:
The numbers that are missing (and thus the locked doors) are:
\[
\boxed{5, 7, 9, 4, 8, 3}
\]
This completes the task. The student can now use these results to navigate the maze successfully.
Parent Tip: Review the logic above to help your child master the concept of friends of ten worksheet.
