Math Core Curriculum Standards
Interpret expressions that represent a quantity in terms of its context.*
Interpret parts of an expression, such as terms, factors, and coefficients.
Interpret complicated expressions by viewing one or more of their parts as a single entity.
Create equations and inequalities in one variable and use them to solve problems.
Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or nonviable options in a modeling context
Explain each step in solving a simple equation as following from the equality of numbers asserted at the previous step, starting from the assumption that the original equation has a solution. Construct a viable argument to justify a solution method.
Solve linear equations and inequalities in one variable, including equations with coefficients represented by letters.
Distinguish between situations that can be modeled with linear functions and with exponential functions.
Prove that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals.
Recognize situations in which one quantity changes at a constant rate per unit interval relative to another.
Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another.
Construct linear and exponential functions, including arithmetic and geometric sequences, given a graph, a description of a relationship, or two input-output pairs (include reading these from a table).
Technology Core Curriculum Standards
Use appropriate technology tools and other resources to
design products to share information with others (e.g.
multimedia presentations, Web 2.0 tools, graphics,
podcasts, and audio files).
Evaluate content for relevance to the assigned task.
Use appropriate technology tools and other resources to organize information
1. Students should be able to interpret data from real applications and represent them as linear equations or inequalities.
2. They should then be able to represent the abstract function as a graph or analyze data represented by graphs of linear equations and inequalities.
3. Finally, students should be able to analyze scatter plots to see that while not all data clearly follows linear patterns, sometimes correlations can be found.