Truth Trail Answer Key

This worksheet turns integer comparison into a logic maze. Students begin at START, read the comparison in each cell, and move up, down, left, or right only through statements that are true. The maze includes comparisons such as 8 < -3, -4 > -9, 0 > -6, and -7 > 2, so students have to understand how positive numbers, negative numbers, and zero are ordered before deciding which direction to move. This is especially valuable because students are not just filling in < or > signs-they are judging whether a complete mathematical statement is correct.

For a parent who may not remember integer rules well, the most useful idea is to picture a number line. Numbers farther to the right are greater, and numbers farther to the left are smaller. That means -4 > -9 is true because -4 sits closer to zero and farther right. But 8 < -3 is false because every positive number is greater than every negative number. The child can use that same number-line idea for nearly every cell in the maze.

Learning Goals

• Evaluate Integer Comparisons: Students decide whether each comparison statement is true or false.
• Compare Positive and Negative Numbers: Learners use number-line order rather than the size of the digits alone.
• Use Zero as a Benchmark: Students reinforce that zero is greater than every negative integer and less than every positive integer.
• Strengthen Comparison Symbols: Learners become more fluent with <, >, and =.
• Use Reasoning to Navigate: Only true statements can form the correct path to FINISH.

Parent-Friendly Teaching Tips

A simple routine is:

1. Read the comparison aloud.
2. Ask which number would be farther right on a number line.
3. Check whether the symbol agrees with that order.
4. If the statement is true, that cell may be part of the path.

For example:

-4 > -9

-4 is closer to zero, so it is greater.
The statement is true.

But:

0 < -6

Zero is greater than -6, so the statement is false.

Why the Maze Format Helps

• Makes Comparison Practice More Engaging: Students are solving a path instead of completing a plain list.
• Encourages Careful Reading: One reversed symbol can send the student the wrong way.
• Provides Built-In Feedback: If the trail reaches a dead end, there is probably a comparison that needs to be checked.
• Builds Number-Line Thinking: Students repeatedly use position rather than memorized tricks.
• Strengthens True/False Reasoning: Learners become more confident judging complete mathematical statements.

Classroom & Home Use

• Great for Centers: Students can work independently and trace the true-comparison path.
• Useful for Parents: Adults can help by asking where each number sits relative to zero.
• Good for Review: The worksheet reinforces integer comparison in a more playful format.
• Helpful for Intervention: Students who reverse negative-number comparisons get repeated targeted practice.
• Strong for Self-Checking: The maze itself helps students notice when something went wrong.

The main value of this worksheet is that it makes integer comparison feel like a puzzle with a purpose. Positive numbers, negative numbers, zero, comparison symbols, number-line order, and logical reasoning all work together. For parents, the best question to repeat is: “Which number is farther to the right?” In classroom and homeschool settings, this activity helps students become more confident reading and judging integer inequalities.