pdf Analyzing Patterns Practice

This worksheet engages students in analyzing numerical patterns through a real-world catering scenario. Students examine how the total number of berries depends on the number of fruit salads prepared, using the function \(b = 20s + 30s + 40s + 50s\) to model the relationship between salads and ingredients.

Students complete a function table, substitute values for \(s\), and calculate totals for multiple batches. They also determine how many berries are required for larger quantities, such as 10 fruit salads, and isolate specific components of the expression to answer targeted questions. By exploring whether the function can be rewritten in a shorter form as \(b = 140s\), students practice combining like terms and recognizing equivalent expressions.

Because the task blends arithmetic patterns with early algebraic reasoning, it helps students transition from numerical computation to symbolic representation. This resource works well as guided practice, independent practice, or enrichment when introducing functions and algebraic thinking.

Skills Assessed

• Interpreting and evaluating function tables

• Substituting values into algebraic expressions

• Combining like terms

• Writing equivalent expressions

• Analyzing numerical patterns

• Connecting real-world contexts to algebraic models

Classroom Use

• Introduction to algebraic patterns

• Guided practice with functions

• Independent practice

• Small-group instruction

• Assessment review

Details

2 pages
Answer key included

ID# 0548