Function Value Maze, Output Becomes Input
Written by Adi Ackerman, Head Teacher
"Function Value Maze, Output Becomes Input" is written for 8th Grade (Ages 13-14), and it covers Common Core 8.F.A.1. A 7th grader who is already steady on math puzzles can use it too, and an older student can use it as a short review.


8th grade math worksheet: start at x = 2 and use each room's rule, such as y = 3x − 3, to choose the door into the next room. Answer key included. Part of our number puzzles collection. Aligned to Common Core standards.
How do I use this worksheet?
Use the maze and the odd one out sets during a functions unit, and the shading puzzle and nonogram after work on rational numbers and roots. Pair students for the dots and boxes game and ask them to check each other's box values.
What students will practice
- Students will evaluate linear rules such as y = 4x − 4 and squared rules such as y = x² − 9 for a given x.
- Students will use each output as the input for the next function rule in the maze.
- Students will record x and y in every room they pass through on the path.
Curriculum Links
Common Core State Standards
Functions · 8th Grade
Standard: Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output.
View all 8.F.A.1 worksheets →Find this in the curriculum
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FAQ
How do I use this number puzzles worksheet?
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Use the maze and the odd one out sets during a functions unit, and the shading puzzle and nonogram after work on rational numbers and roots. Pair students for the dots and boxes game and ask them to check each other's box values.
What does this worksheet teach?
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Start at x = 2 and use each room's rule, such as y = 3x − 3, to choose the door into the next room. The directions on the page read: Start at the top left with x = 2. Find y with the room's rule, then go through the door showing y. That y is the next room's x. Write x and y in every room you visit. An answer key is included.
Can I use this number puzzles worksheet for homeschool or classroom?
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Yes, both. We made it for 8th grade math puzzles, and it works the same at home or at school. At home, a student can work through it alone and then go over it with you, which shows quickly what is solid and what needs another look. In class it works as independent practice, homework or a warm-up, and you can print one copy or a full set.
How does the function value maze work?
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Students start at the top left with x = 2 and use the room's rule, such as y = 3x − 3, to find y. They go through the door that shows y, and that y becomes the next room's x. They write x and y in every room they visit.
How do you play the exponent and root dots and boxes game?
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Two players take turns drawing a segment between neighboring dots. Closing the fourth side of a box claims it, and the player evaluates the expression inside, such as a cube root or a power, and adds it to a running total. There is no answer key, since every game plays out differently.
How do you write a fraction as a repeating decimal?
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Divide the numerator by the denominator until the digits start to repeat, then draw a bar over the repeating part. On Repeating Decimal Shading Puzzle students do this for 4/9, 3/11 and 7/12, then shade every cell that equals one of them.
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Worksheet Details
| Grade | 8th Grade |
| Subject | Math |
| Topic | Math Puzzles |
| Standard | 8.F.A.1 |
| Pages | 1 page |
| Difficulty | Medium |
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