Algebra 1 for Accelerated Learners: Introductions to Quadratic Functions

HSF-BF.A.1.a
Determine an explicit expression, a recursive process, or steps for calculation from a context.

HSF-BF.A.1.b
Combine standard function types using arithmetic operations. For example, build a function that models the temperature of a cooling body by adding a constant function to a decaying exponential, and relate these functions to the model.

HSF-BF.A.1.c
Compose functions. For example, if is the temperature in the atmosphere as a function of height, and is the height of a weather balloon as a function of time, then is the temperature at the location of the weather balloon as a function of time.

HSF-BF.A.2
Write arithmetic and geometric sequences both recursively and with an explicit formula, use them to model situations, and translate between the two forms.

HSF-BF.B
Build new functions from existing functions.

HSF-LE.A
Construct and compare linear, quadratic, and exponential models and solve problems.

HSF-LE.A.1
Distinguish between situations that can be modeled with linear functions and with exponential functions.

HSF-LE.A.1.a
Prove that linear functions grow by equal differences over equal intervals, and that exponential functions grow by equal factors over equal intervals.

HSF-LE.A.1.b
Recognize situations in which one quantity changes at a constant rate per unit interval relative to another.

HSF-LE.A.1.c
Recognize situations in which a quantity grows or decays by a constant percent rate per unit interval relative to another.

HSF-LE.A.2
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).

HSF-LE.A.3
Observe using graphs and tables that a quantity increasing exponentially eventually exceeds a quantity increasing linearly, quadratically, or (more generally) as a polynomial function.

HSF-LE.A.4
For exponential models, express as a logarithm the solution and  evaluate the logarithm using technology.

HSF-LE.B
Interpret expressions for functions in terms of the situation they model.


HSF-LE.B.5
Interpret the parameters in a linear or exponential function in terms of a context.
HSA-SSE.A.1
Interpret expressions that represent a quantity in terms of its context.

HSA-SSE.A.1.a
Interpret parts of an expression, such as terms, factors, and coefficients.

HSA-SSE.A.1.b
Interpret complicated expressions by viewing one or more of their parts as a single entity.
HSA-SSE.B
Write expressions in equivalent forms to solve problems.

HSA-SSE.B.3
Choose and produce an equivalent form of an expression to reveal and explain properties of the quantity represented by the expression.
HSA-SSE.B.3.c
Use the properties of exponents to transform expressions for exponential functions.

HSA-SSE.B.3.a
Factor a quadratic expression to reveal the zeros of the function it defines.

HSA-SSE.B.3.b
Complete the square in a quadratic expression to reveal the maximum or minimum value of the function it defines. 


HSA-SSE.A.2
Use the structure of an expression to identify ways to rewrite it.