- Find distance between two points
in the Cartesian Plane.
- Use the Distance formula to
solve Geometry and real-life application problems.
- Find the Midpoint of the segment
joining two points in the Cartesian Plane.
- Use the Midpoint formula to
solve application problem.
- Determine whether a point lies
on the graph of an equation.
- Sketch graphs using a table of
values and a graphing utility.
- Find the x and y-intercepts
of the graph of an equation (algebraically and graphically).
- Determine the symmetry of the
graph of an equation (algebraically and graphically).
- Write the General Form Equation
of a circle in Standard Form and determine the center and radius of the
circle.
- Determine the slope of a line
passing through two points.
- Find the point-slope form
equation of a line.
- Find slope-intercept form
equation of a line and sketch the line.
- Determine if lines are parallel
or perpendicular using slope.
- Write equation of a line
parallel or perpendicular to a given line.
- Construct linear models.
- Use linear models with slope as
the rate of change.
- Find a linear model that fits a
set of data (Linear Regression).
- Determine if an equation or a
set of ordered pairs represents a function.
- Use function notation.
- Evaluate a function.
- Find the domain of a function.
- Interpret input and output of
Real-life functions.
- Solve an application problem
involving Real-life functions.
- Find the domain and range using
the graph of a function.
- Vertical Line Test.
- Describe the increasing and
decreasing behavior of a function.
- Classify a function as even or
odd.
- Identify six common graphs.
- Describe how a graph has been
changed from the original using common transformations.
- Sketch the graph of a function
using the common graphs and transformations.
- Write the equation of a function
using common graphs and transformations.
- Find the sum, difference,
product, and quotient of functions
- Find the composition of two
functions
- Determine the domain of two
combined functions
- Determine the functions which
have been composed to make up a given function
- Solve real life problems
involving the combination (addition, subtraction, multiplication,
division, and/or composition) of two functions
- Determine if a function has an
inverse function (Horizontal Line Test).
- Find the Inverse of a function.
- Graph a function and its
Inverse.
- Restricting the
Domain to Create a Function with an Inverse Function
- Sketch the graph of a quadratic
function (parabola) and identify its vertex and intercepts
(algebraically and graphically).
- Write a quadratic function in
standard form and identify the vertex from the standard form.
- Find the quadratic function
given the vertex and a point on the graph
- Solve real-life problems
involving quadratic functions.
- Classify polynomial functions as
constant, linear, quadratic, cubic, etc.
- Apply the Leading Coefficient
Test to determine right and left behavior of the graph of a polynomial
function
- Find the real zeros of
polynomial by factoring
- Write the equation of a
polynomial given its roots and a point on the graph.
- Divide polynomials using long
division.
- Divise
polynomials using synthetic division.
- Use the Remainder Theorem to
evaluate a polynomial.
- Use the Factor Theorem to factor
a polynomial.
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- Find all possible rational zeros
of a polynomial function using the Rational Zero Test.
- Find all real zeros of a
polynomial function algebraically.
- Approximate the real zeros of a
polynomial function using the Intermediate Value Theorem.
- Approximate the real zeros of a
polynomial using a graphing utility.
- Write the equation of a
polynomial given its roots and a point on the graph.
- Find the domain of a rational
function.
- Find the vertical and horizontal
asymptotes of the graph of a rational function.
- Sketch the graph of a rational
function.
- Use a rational function model to
solve an application problem
- Sketch the graph of an
exponential function.
- Find basic characteristics of an
exponential function (domain, range, intercepts, increasing/decreasing
behavior).
- Write formulas of transformed
exponential functions,
- Use an exponential model to
solve an application problem (in particular, models involving the
natural exponential function and compound interest formulas).
- Use the compound interest
formula to solve finance problems.
- Sketch the graph of a
logarithmic function.
- Investigate basic
characteristics of a logarithmic function (domain, x-intercept,
vertical asymptote).
- Write formulas of transformed
logarithmic functions.
- Use the change of base formula
to evaluate a logarithm.
- Apply properties of logarithms.
- Solve Logarithmic and
Exponential Equations.
- Use a logarithmic model to solve
an application problem (in particular, models involving the natural
logarithmic function).
- Construct and use a model for
exponential growth or exponential decay.
- Solve a linear system of
equations by the method of substitution.
- Solve a nonlinear system of
equations by the method of substitution.
- Construct and use a linear
system of equations to solve an application problem.
21.
Systems in Two Variables -Graphing
- Solve a linear system of
equations graphically.
- Solve a nonlinear system of
equations graphically.
- Construct and use a linear
system of equations to solve an application problem.
- Solve a linear system of
equations by the method of elimination.
- Construct and use a linear
system of equations to solve an application problem.
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