Product Passage

This worksheet gives students focused practice multiplying integers while turning the work into a maze. Students begin at START, solve the multiplication expression in each cell, and move up, down, left, or right only through cells whose products are positive. Problems include combinations such as 4 × -6, 3 × 7, -5 × -8, -6 × 4, and -9 × 2, so students repeatedly practice deciding whether the signs will produce a positive or negative answer. The maze format makes this more than a multiplication drill because the student has to use the sign rule correctly in order to stay on the right path.

For a parent who may not remember integer multiplication, this is one of the simpler integer rules to relearn. When multiplying, same signs give a positive answer and different signs give a negative answer. So -5 × -8 is positive because both numbers are negative. But 4 × -6 is negative because one number is positive and the other is negative. The child may not even need to calculate the exact product in every cell if the only question is whether the answer will be positive.

Learning Goals

• Multiply Positive and Negative Integers: Students practice all common sign combinations.
• Identify Positive Products: Learners decide whether the result is greater than zero.
• Use Sign Rules Efficiently: Students learn that same signs mean positive and different signs mean negative.
• Separate Sign from Arithmetic: Learners can determine the sign first, then calculate the number part if needed.
• Navigate Using Correct Results: The positive-product rule determines the maze route.

Parent-Friendly Teaching Tips

For multiplication, keep the rule very simple:

• Positive × Positive = Positive
• Negative × Negative = Positive
• Positive × Negative = Negative
• Negative × Positive = Negative

A quick shortcut is:

Same signs = positive. Different signs = negative.

For example:

-5 × -8

The signs match, so the product is positive.
5 × 8 = 40.
The answer is 40, so that cell can be used.

Why This Worksheet Helps

• Makes Sign Rules Easier to Remember: Students see the same pattern repeatedly.
• Builds Mental Math: Many cells can be classified by sign without fully multiplying.
• Encourages Accuracy: A wrong sign can send the student down the wrong path.
• Provides Built-In Feedback: If the maze stops unexpectedly, students know to check nearby work.
• Keeps Practice Engaging: The path gives a purpose to repeated integer multiplication.

Classroom & Home Use

• Great for Centers: Students can solve and trace independently.
• Useful for Parents: Adults can help by checking only the sign rule if they do not want to calculate every product.
• Strong for Intervention: Students who confuse negative × negative get repeated practice.
• Good for Review: The worksheet is especially useful after a lesson on integer multiplication.
• Helpful for Fluency: Repetition makes the sign rule much more automatic.

The real value of this worksheet is that it helps students separate two jobs: first decide the sign, then do the multiplication. Positive integers, negative integers, sign rules, multiplication facts, and maze navigation all work together. For parents, the most useful reminder is simply: “Do the signs match?” If they do, the product is positive. In classroom and homeschool settings, this activity gives students a fun way to make integer multiplication rules stick.