Mathematics | Course : Model Algebra I (Traditional Pathway)
Domain - Seeing Structure in Expressions
Cluster - Write expressions in equivalent forms to solve problems.
[AI.A-SSE.B.3] - Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.
- Expression
A mathematical phrase that combines operations, numbers, and/or variables (e.g., 32 ÷ a).
[HS.PHY.2.1] -
Analyze data to support the claim that Newton’s second law of motion is a mathematical model describing change in motion (the acceleration) of objects when acted on by a net force. Clarification Statements: Examples of data could include tables or graphs of position or velocity as a function of time for objects subject to a net unbalanced force, such as a falling object, an object rolling down a ramp, and a moving object being pulled by a constant force. Forces can include contact forces, including friction, and forces acting at a distance, such as gravity and magnetic forces.
State Assessment Boundary: Variable forces are not expected in state assessment.
[HS.PHY.4.1] -
Use mathematical representations to support a claim regarding relationships among the frequency, wavelength, and speed of waves traveling within various media. Recognize that electromagnetic waves can travel through empty space (without a medium) as compared to mechanical waves that require a medium. Clarification Statements: Emphasis is on relationships when waves travel within a medium, and comparisons when a wave travels in different media. Examples of situations to consider could include electromagnetic radiation traveling in a vacuum and glass, sound waves traveling through air and water, and seismic waves traveling through the Earth. Relationships include v = λf, T = 1/f, and the qualitative comparison of the speed of a transverse (including electromagnetic) or longitudinal mechanical wave in a solid, liquid, gas, or vacuum. State Assessment Boundary: Transitions between two media are not expected in state assessment.