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Students use a variety of representational tools— diagrams, words, tables, graphs, and equations— to understand linear patterns and functions. They connect the rate of change with the slope of a line and compare linear with non-linear relationships. They gain facility with and comprehension of basic algebraic notations.
These lessons show how to maximize instruction that prepares students for formal algebra. Through a series of investigations, students build their proficiency with key algebraic concepts. Connections between arithmetic and algebra are made through the use of drawings, tables, graphs, words, and symbols. Lessons include a technology component with suggestions for teaching with graphing calculators.
The books in this series provide an essential ingredient in the transition from concrete mathematical experience to the symbolic reasoning used in algebra. They aim to guide the student in building and extending manipulative patterns, collecting numerical data, and analyzing the results. The main objective of the activities in this book is for the student to be able to build any design of the pattern. The activities allow students to use pattern blocks to build and analyze the given design, then determine the relationship between the number of the design and the number of blocks necessary to build the design. Exploration and discovery of individual solution strategies are encouraged. The book is laid out in an easy-to-use format with 50 pattern pages (divided into five sections), an appendix (including teaching guide and a glossary), and an answer key. Within the five sections included, patterns generally progress from the simple arrangements that build confidence to the more complex and creative patterns that inspire students to combine their imagination and their mathematical skills. (JRH)