What It Is:The
Function Machines – Input and Output Rules Worksheet gives students hands-on practice finding the mathematical rule that connects each input to its corresponding output. By identifying patterns and filling in missing values, learners build a strong understanding of how functions operate.
Why Use It:This worksheet strengthens critical thinking and algebraic reasoning by encouraging students to
discover function rules (addition, subtraction, multiplication, or division). It helps connect real-world “function machine” logic to mathematical function relationships, reinforcing both computation and conceptual understanding.
How to Use It:• Start by revisiting the
“Graphing Relations and Functions” worksheet to review coordinate plotting and function visualization.
• For each input-output table, determine the rule that links the two columns (e.g., “Add 2,” “Multiply by 3,” etc.).
• Fill in the missing numbers based on the identified rule.
• Continue your learning with the next worksheet,
“Identifying Domain and Range”, to explore how inputs and outputs form complete function sets.
Grade Level Suitability:Best for
Grades 5–7.
•
Grade 5: Introduces input-output patterns and rule discovery.
•
Grades 6–7: Reinforces algebraic thinking and function machine concepts.
Target Users:Ideal for
teachers,
students, and
homeschool educators who want to teach how to identify and apply function rules in tables. Great for visual and logical learners in early algebra development.
