Algebra Across the Grades:
Develop Algebraic Reasoning and Problem Solving, K-8
Participants explore the development of algebraic concepts and analyze how the same skills, concepts and problem solving begin in kindergarten and evolve through grade eight. Participants will work through activities to develop algebraic concepts and to gain a better understanding of how to process these activities with students. These activities serve a dual purpose:
- To develop algebraic concepts
- To develop mathematical problem-solving and communication skills
Participants will assess student work with the Exemplars assessment rubric to determine student performance and to guide instruction. Sample lesson plans, working portfolio tasks and assessment tasks will be used so that participants may begin successful implementation.
Student work will also be examined to determine proficiency with the algebraic skills and concepts of the problem or activity. Students' problem-solving and mathematical-communication skills will also be evaluated.
Components across the grades include:
- Patterning-extending to specific cases and to generalizations of the pattern
- Understanding of variables and variable expressions
- Understanding of equality
- Understanding of linear and simple non-linear functions
- Making connections between equations, graphs and tables
- Using algebraic language to communicate mathematical ideas