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5. Identifying patterns of change is necessary for making predictions about future behavior and conditions. Students: • use sophisticated mathematical models, such as graphs and equations of various algebraic or trigonometric functions. • search for multiple trends when analyzing da...
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5. Identifying patterns of change is necessary for making predictions about future behavior and conditions. Students: • use sophisticated mathematical models, such as graphs and equations of various algebraic or trigonometric functions. • search for multiple trends when analyzing data for patterns, and identify data that do not fit the trends. This is evident, for example, when students: s use a sine pattern to model the property of a sound or electromag- netic wave. s use graphs or equations to model
3 0 http://www.emsc.nysed.gov/ciai/mst/pub/mststa6_7.pdf#page=3 www.emsc.nysed.gov/ciai/mst/pub/mststa6_7.pdf#page=3
slopes and determine the relationship between speed and steepness of the ramp. s take data they have collected and generate tables and graphs to begin the <span class="highlight">search</span> for patterns of change. 6. In order to arrive at the best solution that meets criteria within constraints, it is often necessary to make trade-offs. Students: &bull; determine the criteria and constraints of a simple decision making problem. &bull; use simple quantitative methods, such as ratios, to compare costs to benefits of a decision problem. This is evident
5 0 http://www.emsc.nysed.gov/ciai/mst/pub/mststa6_7.pdf#page=5 www.emsc.nysed.gov/ciai/mst/pub/mststa6_7.pdf#page=5
include material, energy, or information) can become the input to other parts. This is evident, for example, when students: s compare systems with internal control (e.g., homeostasis in organisms or an ecological system) to systems of related components without internal control (e.g., the Dewey decimal, solar system). 2. Models are simplified representations of objects, structures, or systems used in analysis, explanation, interpretation, or design. Students: &bull; select an appropriate model to begin the <span class="highlight">search</span> for
11 0 http://www.emsc.nysed.gov/ciai/mst/pub/mststa6_7.pdf#page=11 www.emsc.nysed.gov/ciai/mst/pub/mststa6_7.pdf#page=11
5. Identifying patterns of change is necessary for making predictions about future behavior and conditions. Students: &bull; use sophisticated mathematical models, such as graphs and equations of various algebraic or trigonometric functions. &bull; <span class="highlight">search</span> for multiple trends when analyzing data for patterns, and identify data that do not fit the trends. This is evident, for example, when students: s use a sine pattern to model the property of a sound or electromag- netic wave. s use graphs or equations to model