Use algebraic thinking to analyze and generalize patterns.
Developing a Clear Learning Target
About This Topic Thread
Algebra is best learned as a set of concepts and techniques tied to the representation of quantitative relations and as a style of mathematical thinking for formalizing patterns, functions, and generalizations. Although many adults think that algebra is an area of mathematics more suited to middle school or high school students, even young children can be encouraged to use algebraic reasoning as they study numbers and operations and as they investigate patterns and relations among sets of numbers. In the Algebra Standard, the connections of algebra to number and everyday situations are extended in the later grade bands to include geometric ideas.
Explore the effect of transformations on geometric figures and shapes in the coordinate plane.
Scaffolded (Unpacked) Ideas
Students should be able to understand the relationships among tables, graphs, and symbols and to judge the advantages and disadvantages of each way of representing relationships for particular purposes.
Systematic experience with patterns can build up to an understanding of the idea of function.
Students can study sequences that can best be defined and computed using recursion, such as the Fibonacci sequence, 1, 1, 2, 3, 5, 8, ....
Recursive sequences appear naturally in many contexts and can be studied using technology.
Students should be able to understand the relationships among tables, graphs, and symbols and to judge the advantages and disadvantages of each way of representing relationships for particular purposes.
Academic Vocabulary
Tennessee Academic Vocabulary for Patterns, Relations and Functions |
Algebra I