Targeted Content Standards and Objectives
National Council of Teachers of Mathematics Standards
Algebra (Grades 6-8)
- Represent, analyze, and generalize a variety of patterns with tables, graphs, words, and, when possible, symbolic rules
- Relate and compare different forms of representation for a relationship
- Identify functions as linear or nonlinear and contrast their properties from tables, graphs, or equations
- Develop an initial conceptual understanding of different uses of variables
- Explore relationships between symbolic expressions and graphs of lines, paying particular attention to the meaning of intercept and slope
- Use symbolic algebra to represent situations and to solve problems, especially those that involve linear relationships
- Recognize and generate equivalent forms for simple algebraic expressions and solve linear equations
- Model and solve contextualized problems using various representations, such as graphs, tables, and equations
- Use graphs to analyze the nature of changes in quantities in linear relationships
Reasoning and Proof (Grades 6-8)
- Recognize reasoning and proof as fundamental aspects of mathematics
- Make and investigate mathematical conjectures
- Develop and evaluate mathematical arguments and proofs
- Select and use various types of reasoning and methods of proof
- Examine patterns and structures to detect regularities
- Formulate generalizations and conjectures about observed regularities
- Evaluate conjectures
- Construct and evaluate mathematical arguments
Student Objectives
Students will be able to:
- Relate and compare different forms of representation for a relationship
- Develop an initial conceptual understanding of slope and y-intercept
- Use symbolic algebra to represent situations and to solve problems, specifically those that involve linear relationships
- Formulate, investigate, and evaluate mathematical conjectures
- Select and use various types of reasoning and methods of proof
- Examine patterns and structures to detect regularities
- Formulate generalizations and conjectures about observed regularities
- Construct and evaluate mathematical arguments
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