PMT
# |
Topics & Sections of Text |
Proficiency Goals |
Mastery Goals |
1
Core
Wk 1 |
Exponents, Equations, and
Graphing
(2.1, 5.1, 5.2)
Math Knowledge Outcomes:
o [MK2] graph points and lines in
the rectangular coordinate
system
o [MK~8] evaluate, graph, and
determine the domain and range
of functions
Daily lessons – Week 1 |
Exponents:
• Explain how to interpret
− 86
• Use product , quotient,
negative exp ., power, and
distributive rules
• Zero power rule
Graphing:
• Solve linear equations for y
• Describe/locate points
• Graph equations by
obtaining and plotting five
points from equations like :
o Linear
o Quadratic
o Completely new |
Exponents:
• Simplify more complicated
exp onent expressions
• Calculate with scientific
notation
Graphing:
• How are solutions of
equations related to points on
a graph?
• Plot at least three points on
the graph of abs. value,
cubic , radical, exponential,
and sketch remainder of
graph using knowledge of
shapes
• Know names, basic graphs
of, and basic formulas for the
functions listed under
proficiency and mastery |
2
Core
Wk 2 |
Function Essentials
(2.2, ~ 7.1, ~8.5)
Math Knowledge Outcomes:
o [MK1] use correct termino logy
to describe intermediate algebra
concepts and techniques,
o [MK8] evaluate, graph, and
determine the domain and range
of functions
Daily lessons – Week 2 |
• Evaluate using function
notation
• Recognize functions in
tables and graphs
• ID domain & range of basic
(connected) functions |
• Evaluate using a graph
• Recognize functions given in
words or graphs
• Find the domains and ranges
of unfamiliar functions
(including disconnected) |
3
Core
Wk 4 |
Constructing and Graphing
Linear Equations; Solving
Systems
(2.3 – 2.6, 3.1, 4.1, 4.3)
Math Knowledge Outcomes:
o [MK1] use correct terminology
to describe intermediate algebra
concepts and techniques
o [MK2] graph points and lines in
the rectangular coordinates
o [MK3] compute the slope of
lines along with writing
equations of lines
o [MK~4] solve a variety of
equations proficiently,
including linear (systems),
quadratic, absolute value, and
radical
Daily lessons – Weeks 3 and 4 |
• Algebraically find
intercepts for a linear
equation
• Find equation for line given
two points
• Find an equation for a line
given its graph
• Graph using slope-intercept
form
• Identify and explain the use
of the slope and y-intercept
• Solve a system of linear
equations using substitution
or elimination |
• Recall or apply properties of
horizontal, vertical, parallel,
and perpendicular lines
• Describe patterns in slopes and
intercepts of lines given
graphically
• Approximate data with a linear
model
• Identify and inter pret the slope
and intercepts of model
• Compare /contrast/convert
between different forms of
linear equations
• Solve systems of linear
equations using 2 methods
• Recognize or explain
relationship between the 3 types
of solutions to systems of linear
equations and the graphs or
results of the algebraic
procedure for finding them |
4
Wk 5 |
Solving and Graphing Inequalities
(3.2 – 3.5)
Math Knowledge Outcomes:
o [MK~4] solve a variety of
equations proficiently, including
linear (systems), quadratic,
absolute value, and radical
o [MK5] solve a variety of
inequalities proficiently,
including linear (systems),
quadratic, absolute value,
rational, and compound
Daily lessons – Weeks 5 and 6 |
• Solve a linear inequality in
one variable and represent
the solution using graphs
and interval notation
• Solve a compound
inequality in one variable
and represent the solution
using graphs and interval
notation
• Solve a linear absolute
value equation algebraically |
• Solve a more complex linear
inequality in one variable
(such as one with the empty
set or real line as its solution
set)
• Solve a linear inequality
involving “and” or “or”
• Solve a more complex linear
absolute value equation
• Solve an absolute value
inequality or inequality in
two variables |
5
Core
Wk 8 |
Solving Quadratic Equations and
Analyzing Quadratic Functions
(8.1, 8.2, 8.4 – 8.6, 7.1)
Math Knowledge Outcomes:
o [MK~4] solve a variety of
equations proficiently, including
linear (systems), quadratic,
absolute value, and radical
o [MK~5] solve a variety of
inequalities proficiently,
including linear (systems),
quadratic, absolute value,
rational, and compound
o [MK~8] evaluate, graph, and
determine the domain and range
of functions
Daily lessons – Weeks 7 and 8 |
• Solve a quadratic equation
using either the quadratic
formula or completing the
square
• Graph a quadratic function
by finding the concavity,
vertex, and intercepts
• Describe the different
possible numbers of xintercepts
for quadratic
functions and sketch a
graph displaying each type |
• Solve a quadratic equation
using both the quadratic
formula and completing the
square
• Rewrite a quadratic function
in “vertex” (h, k)- form
• Describe the properties
(vertex, width, concavity) of
a quadratic function in (h, k)-
form
• Solve a quadratic inequality
• Simplify a fraction involving
square roots of numbers |
6
Wk
10 |
Simplifying and Solving with
Exponents and Radicals
(7.1 – 7.4, 7.6, 7.7, 9.3)
Math Knowledge Outcomes:
o [MK~4] solve a variety of
equations proficiently, including
linear (systems), quadratic,
absolute value, and radical
o [MK6] simplify and perform
operations involving radicals
o [MK7] recognize, represent, and
calculate with complex numbers
Daily lessons – Weeks 9 and 10 |
• Calculate roots of numbers
using a calculator
• Convert expressions
between fractional
exponents and radicals
• Simplify basic expressions
involving fractional powers
• Simplify basic expressions
involving radicals
• Solve equations involving a
single radical |
• Simplify expressions
involving more complicated
fractional powers
• Simplify more complicated
radical expressions
• Solve more complicated
radical equations (such as
ones involving two radicals
or FOIL)
• Combine complex numbers |
