Patterning and Algebra - Practice

This math unit progresses through a series of topics that develop a deep understanding of patterns, sequences, and summation in arithmetic and geometric contexts, starting with identifying terms in sequences and advancing to understand and manipulating rules and equations. Initially, students work with decreasing and then increasing arithmetic patterns, learning to identify specific terms and sequences directly from the rules or corresponding equations. They progress to more complex tasks, such as deducing missing numbers and calculating sums within series, applying foundational concepts like summation notation. Later, the unit shifts to geometric patterns and the Fibonacci sequence, where patterns are analyzed through multiplication and recurrent addition, respectively. Students extend this knowledge to identify and compute the missing terms and next numbers in these sequences. The complexity increases as learners tackle polynomial sequences, focusing on identifying sequence terms given polynomial expressions and applying arithmetic operations to polynomial sequences. The unit includes both arithmetic and polynomial sequence analysis, demanding a robust understanding of pattern recognition, algebraic manipulation, and sequence generation across diverse mathematical contexts.Skills you will learn include:

• Arithmetic patterns
• Geometric patterns
• Algebra of patterns
• Fibonacci patterns
• Extending patterns
• Finding missing value in pattern
• Term value
• Equations for patterns