ROCKY FORD CURRICULUM GUIDE
SUBJECT: Algebra 1B
TIMELINE: 4th Quarter
1. Functions
model situations
where one
quantity
determines
another and can
be represented
algebraically,
graphically, and
using tables
a. Formulate the
concept of a
function and use
function notation:
i. Explain that a
function is a
correspondence
from one set
(called the
domain) to
another set
(called the range)
that assigns to
each element of
the domain
exactly one
element of the
range. I
ii. Use function
notation,
evaluate
functions for
inputs in their
domains, and
interpret
statements that
use function
notation in terms
of a context. I
iii. Demonstrate that
sequences are
functions,
GRADE: High School
We will define a
function in
terms of range
and domain.
We will
demonstrate
knowledge of
definitions of a
function using a
graph.
We will apply
rules of
functions to
construct tables
and graphs of
functions .
We will produce
tables and
grahs of
recursive
functions using
a subset of
Comp
Holt
McDougal
Algebra 1
Pg. 36-48
One to one
correspondence
Domain
Range
Appl
Holt
McDougal
Algebra 1
Pg. 56-58
Inputs
Function
Notation
Synth
Sequence
Recursive
sometimes
defined
recursively,
whose domain is
a subset of the
integers. I
4. Solutions to
equations,
inequalities and
systems of
equations are
found using a
variety of tools
a. Solve systems
of equations.
i. Prove that,
given a
system of
two
equations in
two
variables,
replacing
one
equation by
the sum of
that
equation
and a
multiple of
the other
produces a
system with
the same
solutions. I
ii. Solve
systems of
linear
equations
exactly and
approximate
ly, focusing
on pairs of
linear
equations in
integers for the
domain.
Lutions.
We will define a
system of two
variable
equations .
We will apply
rules for solving
systems of
equations to
prove that sum
of one equation
and a multiple
of the other,
produces a
system with the
same solutions
We will
approximate
and solve
exactly,
systems of
linear
equations.
We will solve
systems
consisting of
linear and
quadratic
equations with 2
variables.
Comp
Holt
McDougal
Algebra 1
Pg. 730
Apply
Holt
McDougal
Algebra 1
Pg. 466
Apply
KUTA Algebra
software
two
variables. C
iii. Solve a
simple
system
consisting of
a linear
equation
and a
quadratic
equation in
two
variables
algebraically
and
graphically.
C
4. Solutions to
e.Represent and solve equations
equations, inequalities
and inequalities graphically.
and systems of
i. Explain that the graph of an
equations are found
equation in two variables is
using a variety of tools
the set of all its solutions
plotted in the coordinate
plane, often forming a
curve. I
ii. Explain why the xcoordinates of the points
where the graphs of the
equations y = f(x) and y =
g(x) intersect are the
solutions of the equation
f(x) = g(x);i find the
solutions approximately. I
iii.
iv. Graph the solutions to a
linear inequality in two
variables as a half-plane
We will solve equalities and
inequalities using a graph.
We will define the solution
of equations and
inequalities using a graph
and explain that solution as
all the points represented
on the graph. Some
forming a curve.
Appl
Holt McDougal Algebra 1
Pg. 356
Appl
Holt McDougal Algebra 1
Pg. 43-66
Comp
We will investigate the
graphs of the equations
y=f(x) and y=g(x) . We will
examine the intersection of
the 2 graphs and discuss
why that is the solution of
both graphs.
Holt McDougal Algebra 1
Pg. 207
Appl
(excluding the boundary in
the case of a strict
inequality), and graph the
solution set to a system of
linear inequalities in two
variables as the intersection
of the corresponding halfplanes. I