This math unit progresses from fundamental understanding of number patterns to applications involving algebraic expressions and sequences. Initially, students work with polynomial and arithmetic sequences, identifying specific terms or missing values, which strengthens their grasp of polynomial sequences and decreasing arithmetic patterns. The unit evolves to cover geometric sequences, allowing students to discern multiplication patterns. As the unit progresses, there's a significant shift towards understanding and applying exponents, particularly in identifying units digits of large numbers raised to powers, fostering skills in recognizing patterns and predicting behavior in exponentiation. Further developing their skills related to sequences, students learn to express sums of series using summation notation, transitioning from basic addition to more complex algebraic representations. They also work on determining the sums of integers from 1 to N and convert summation notation to expanded addition. Moreover, towards the latter part of the unit, students deal with interpreting and creating rules for arithmetic sequences, amplifying their algebraic thinking and application skills. Understanding the structure and rules of decreasing arithmetic patterns through equations refines their ability to apply mathematical operations and recognize patterns within sets of numbers.
Skills you will learn include:
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