North Platte Public Schools
Algebra 1
2013-2014
GRADE: 9-12
All lessons are out of McDougal Littell Algebra 1
Revised 5/24/2013
Mathematics BENCHMARK 1
Instruction: Start Date – Quarter 1
End Date –
Benchmark Test Dates –
Benchmark Analysis Date Essential Standards
12.1.1.b Compare, contrast, 2.2
and apply the properties of
2.3
numbers and the real
2.4
number system, including
2.5
rational, irrational,
2.6
imaginary, and complex
2.7
numbers
2.1
12.1.2.b Use drawings,
words, and symbols to
explain the distance
between two numbers on
the number line is the
absolute value of their
difference
12.1.3.a Compute accurately 1.2
with real numbers
2.2
2.3
2.4
2.6
2.7
2.2
12.1.3.d Select, apply, and
explain the method of
2.3
computation when problem 2.4
solving using real numbers
2.6
(eg., models, mental
2.7
Lessons Aligned to ES
computation, paper-pencil,
or technology)
12.1.4.a Use estimation
methods to check the
reasonableness of real
number computations and
decide if the problem calls
for an approximation or an
exact number (eg, 10pi, s
approximately 1.4, square
and cube roots)
12.2.5.b Apply appropriate
units and scales to solve
problems involving
measurement
12.3.1.a Represent,
interpret, and analyze
functions with graphs,
tables, and algebraic
notation and convert among
these representations (eg.,
linear, non-linear)
12.3.1.b Identify domain
and range of functions
represented ineiter
symbolic or graphical form
(eg., linear or non linear)
12.3.3.c Add and Subtract
polynomials
12.3.3.d Multiply and divide
polynomials
12.3.3.g Solve linear
equations and inequalities
including absolute value
1.7
1.1
1.6
1.6
2.5
2.4
1.4
Mathematics BENCHMARK 2
Instruction: Start Date – Quarter 2
End Date Benchmark Test Dates Benchmark Analysis Date Essential Standards
12.1.3.a Compute accurately 3.5
with real numbers
3.7
3.1
12.1.4.b Distinguish
relevant from irrelevant
3.2
information, identify
3.3
missing information and
3.4
either find what is needed or
make appropriate estimates.
3.6
12.2.1.d Apply geometric
properties to solve
4.5
problems (eg., parallellines,
line transversals, similar
triangles, congruent
triangles, proportions)
3.6
12.2.4.b Use geometric
models to visualize,
describe, and solve
problems (eg., find the
height of a tree; find the
amount of paint needed for
a room; scale model)
4.1
12.3.1.a Represent,
interpret, and analyze
4.2
functions with graphs,
tables, and algebraic
notation and convert among
these representations (eg.,
linear, non-linear)
3.6
12.2.5.b Apply appropriate
units and scales to solve
Lessons Aligned to ES
problems involving
measurement
12.3.1.b Identify domain
and range of functions
represented ineiter
symbolic or graphical form
(eg., linear or non linear)
12.3.1.c Identify the slope
and intercepts of a linear
relationship from an
equation or graph.
12.3.1.e Graph linear and
nonlinear functions
12.3.1.f Compare and
analyze the rate of change
by using ordered pairs,
tables, graphs, and
equations
12.3.2.a model
contextualized problems
using various
representations (eg., graphs,
tables, one variable
equalities, one variable
inequalites, linear equations
in slope intercept form,
inequalities in slope
intercept form, system of
linear equations with two
variables.
12.3.2.b Represent a variety
quantitative relationships
using linear equations and
one variable inequalities
12.3.3.c Add and Subtract
Polynomials
4.1
4.2
4.3
4.7
4.3
4.4
4.5
4.2
4.5
4.7
4.4
4.5
3.2
3.4
4.2
4.3
4.5
4.7
3.1
3.2
3.3
3.4
3.2
3.3
12.3.3.d Multiply and divide
polynomials
12.3.3.f Generate equivalent
form of linear equations
12.3.3.g Solve linear
equations and inequalities
including absolute value
3.4
3.3
3.4
3.1
3.2
3.3
3.4
3.1
3.2
3.3
3.4
Mathematics BENCHMARK 3
Instruction: Start Date – Quarter 3
End Date Benchmark Test Dates Benchmark Analysis Date Essential Standards
12.1.1.b Compare, contrast, 6.1
and apply the properties of
6.2
numbers and the real
number system, including
rational, irrational,
imaginary, and complex
numbers
6.5
12.1.4.a Use estimation
methods to check the
reasonableness of real
number computations and
decide if the problem calls
for an approximation or an
exact number (eg, 10pi, s
approximately 1.4, square
and cube roots)
5.3
12.1.4.a Use estimation
methods to check the
reasonableness of real
number computations and
decide if the problem calls
for an approximation or an
exact number (eg, 10pi, s
approximately 1.4, square
and cube roots)
5.1
12.1.4.b Distinguish
relevant from irrelevant
5.2
information, identify
missing information and
either find what is needed or
make appropriate estimates.
Lessons Aligned to ES
12.2.1.d Apply geometric
properties to solve
problems (eg., parallellines,
line transversals, similar
triangles, congruent
triangles, proportions)
12.3.1.a Represent,
interpret, and analyze
functions with graphs,
tables, and algebraic
notation and convert among
these representations (eg.,
linear, non-linear)
12.3.1.e Graph linear and
nonlinear functions
12.3.1.f Compare and
analyze the rate of change
by using ordered pairs,
tables, graphs, and
equations
12.3.1.g Graph and interpret
linear inequalities
12.3.2.a model
contextualized problems
using various
representations (eg., graphs,
tables, one variable
equalities, one variable
inequalites, linear equations
in slope intercept form,
inequalities in slope
intercept form, system of
linear equations with two
variables.
5.2
6.5
6.5
5.1
5.2
5.5
6.1
6.2
6.3
6.4
6.6
6.7
5.1
5.2
6.1
6.2
6.3
7.1
7.2
7.3
7.4
12.3.2.b Represent a variety
quantitative relationships
using linear equations and
one variable inequalities
12.3.3.f Generate equivalent
form of linear equations
12.3.3.g Solve linear
equations and inequalities
including absolute value
5.1
5.2
6.1
6.2
6.3
6.4
6.5
6.1
6.2
6.3
6.5
6.6
6.7
7.1
12.3.3.p Analyze and solve
7.2
systems of two linear
7.3
equations in two variables
algebraically and graphically 7.4
7.5
Mathematics BENCHMARK 4
Instruction: Start Date – Quarter 4
End Date Benchmark Test Dates Benchmark Analysis Date Essential Standards
12.1.1.b Compare, contrast, 8.1
and apply the properties of
8.2
numbers and the real
11.2
number system, including
rational, irrational,
imaginary, and complex
numbers
8.1
12.1.3.b Simplify
exponential expressions
8.2
(eg., owers of -1, 0, ½,
32 * 32 = 34)
10.4
12.1.4.a Use estimation
methods to check the
reasonableness of real
number computations and
decide if the problem calls
for an approximation or an
exact number
10.3
12.3.1.e Graph linear and
nonlinear functions
8.1
12.3.3.b Simplify algebraic
expressions involving
8.2
exponents (eg. (3x4)2
9.1
12.3.3.c Add and Subtract
Polynomials
12.3.3.d Multiply and divide 9.2
polynomials
12.3.3.e Factor Polynomials 9.5
9.6
9.8
Lessons Aligned to ES