74 | eUreka Math algebra I StUdy gUIde
Use functions to model relationships between quantities.
8.F.B.4 Construct a function to model a linear relationship between two quantities.
Determine the rate of change and initial value of the function from a description of a
relationship or from two (x, y) values, including reading these from a table or from a graph.
Interpret the rate of change and initial value of a linear function in terms of the situation it
models, and in terms of its graph or a table of values.
8.F.B.5 Describe qualitatively the functional relationship between two quantities by
analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear).
Sketch a graph that exhibits the qualitative features of a function that has been described
verbally.
Reason quantitatively and use units to solve problems.
N-Q.A.1 Use units as a way to understand problems and to guide the solution of multi-step
problems; choose and interpret units consistently in formulas; choose and interpret the scale
and the origin in graphs and data displays.
N-Q.A.2^17 Define appropriate quantities for the purpose of descriptive modeling.
N-Q.A.3 Choose a level of accuracy appropriate to limitations on measurement when
reporting quantities.
Interpret the structure of expressions.
A-SSE.A.1 Interpret expressions that represent a quantity in terms of its context.★
a. Interpret parts of an expression, such as terms, factors, and coefficients.
b. Interpret complicated expressions by viewing one or more of their parts as a single
entity. For example, interpret P() 1 +rn as the product of P and a factor not depending on P.A-SSE.A.2 Use the structure of an expression to identify ways to rewrite it. For example,
see xy^44 - as ()xy^22 - ()^22 , thus recognizing it as a difference of squares that can be factored as
()xy^22 -+()xy^22.
Create equations that describe numbers or relationships.
A-CED.A.2 Create equations in two or more variables to represent relationships between
quantities; graph equations on coordinate axes with labels and scales.★
A-CED.A.3 Represent constraints by equations or inequalities, and by systems of equations
and/or inequalities, and interpret solutions as viable or non-viable options in a modeling
context. For example, represent inequalities describing nutritional and cost constraints on
combinations of different foods.★
A-CED.A.4 Rearrange formulas to highlight a quantity of interest, using the same reasoning as
in solving equations. For example, rearrange Ohm’s law VI= R to highlight resistance R.★
Understand solving equations as a process of reasoning and explain the reasoning.
A-REI.A.1 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.