North Platte Public Schools
GEOMETRY
Grade: 9-12
*All lessons are taken from McDougal Littell Geometry
Mathematics BENCHMARK 1
Instruction: Start Date – Quarter 1 (August/January)
End Date – End of quarter 1 (September/February)
Benchmark Test Dates Benchmark Analysis Date Essential Standards
Lessons Aligned to ES
Lesson 1.1
MA 12.1.3.a Compute
accurately with real
Lesson 1.2
numbers
Lesson 1.6
Lesson 2.1
Lesson 2.2
Lesson 3.2
Lesson 3.3
Lesson 1.7
MA 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 (e.g., 10 л (pi)
is approximately 31.4,
square and cube roots)
Lesson 2.2
MA 12.2.1.b Analyze
properties and relationships
among classes of two and
three dimensional geometric
objects using inductive
reasoning and
counterexamples
MA 12.2.1.d Apply geometric Lesson 3.1
properties to solve
Lesson 3.2
problems (e.g., parallel lines, Lesson 3.3
Revised May 24, 2013
line transversals, similar
triangles, congruent
triangles, proportions)
MA 12.2.2.c Apply the
distance formula
MA 12.2.5.b Apply
appropriate units and scales
to solve problems involving
measurement
MA 12.2.5.c Convert
between various units of
area and volume, such as
square feet to square yards
MA 12.3.1.a Represent,
interpret, and analyze
functions with graphs,
tables, and algebraic
notation and convert among
these representations (e.g.,
linear, non-linear)
MA 12.3.1.b Identify domain
and range of functions
represented in either
symbolic or graphical form
(e.g., linear, non-linear)
MA 12.3.1.e Graph linear
and non-linear functions
MA 12.3.2.a Model
contextualized problems
using various
representations (e.g.,
graphs, tables, one variable
equalities, one variable
inequalities, linear
equations in slope intercept
form, inequalities in slope
Lesson 1.3
Lesson 1.7
Lesson 1.4
Lesson 1.7
Lesson 1.7
Lesson 1.5
Lesson 2.1
Lesson 2.5
Lesson 1.5
Lesson 2.1
Lesson 2.5
Lesson 1.5
Lesson 2.1
Lesson 2.5
Lesson 1.5
Lesson 2.1
Lesson 2.5
intercept form, system of
linear equations with two
variables)
MA 12.4.2.b Support
inferences with valid
arguments
Lesson 2.7
Lesson 3.1
Lesson 3.2
Mathematics BENCHMARK 2
Instruction: Start Date – Quarter 2 (September/February)
End Date – End of quarter 2 (October/March)
Benchmark Test Dates Benchmark Analysis Date Essential Standards
Lessons Aligned to ES
Lesson 3.6
MA 12.1.3.a Compute
accurately with real
numbers
Lesson 5.3
MA 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 (e.g., 10 л (pi)
is approximately 31.4,
square and cube roots)
Lesson 4.1
MA 12.2.1.b Analyze
properties and relationships Lesson 4.7
among classes of two and
three dimensional geometric
objects using inductive
reasoning and
counterexamples
MA 12.2.1.d Apply geometric Lesson 4.3
properties to solve
Lesson 4.4
problems (e.g., parallel lines, Lesson 4.5
line transversals, similar
triangles, congruent
triangles, proportions)
Lesson 3.5
MA 12.2.2.a Use coordinate
geometry to analyze
geometric situations (e.g.,
parallel lines, perpendicular
lines, circle equations)
MA 12.2.2.c Apply the
distance formula
MA 12.2.4.b Use geometric
models to visualize,
describe, and solve
problems (e.g., find the
height of a tree; find the
amount of paint needed for
a room, scale model)
MA 12.2.5.b Apply
appropriate units and scales
to solve problems involving
measurement
MA 12.3.2.a Model
contextualized problems
using various
representations (e.g.,
graphs, tables, one variable
equalities, one variable
inequalities, linear
equations in slope intercept
form, inequalities in slope
intercept form, system of
linear equations with two
variables)
MA 12.4.2.b Support
inferences with valid
arguments
Lesson 3.5
Lesson 3.6
Lesson 4.3
Lesson 4.4
Lesson 4.5
Lesson 4.6
Lesson 4.6
Lesson 3.5
Lesson4.1
Lesson 4.3
Lesson 5.1
Mathematics BENCHMARK 3
Instruction: Start Date – Quarter 3 (October/March)
End Date – End of quarter 3 (November/April)
Benchmark Test Dates Benchmark Analysis Date Essential Standards
Lessons Aligned to ES
Lesson 6.6
MA 12.1.3.a Compute
accurately with real
Lesson 7.1
numbers
MA 12.2.1.d Apply geometric Lesson 6.1
properties to solve
Lesson 6.2
problems (e.g., parallel lines, Lesson 6.3
line transversals, similar
Lesson 6.4
triangles, congruent
Lesson 6.5
triangles, proportions)
Lesson 6.6
Lesson 7.2
MA 12.2.1.e Identify and
apply right triangle
Lesson 7.3
relationships (e.g., sine,
Lesson 7.4
cosine, tangent, special right Lesson 7.5
triangles, converse of
Lesson 7.6
Pythagorean theorem)
Lesson 7.4
MA 12.2.2.d Prove special
types of triangles and
quadrilaterals (e.g., right
triangles, isosceles
trapezoid, parallelogram,
rectangle, square)
Lesson 6.4
MA 12.2.4.b Use geometric
Lesson 6.5
models to visualize,
Lesson 7.3
describe, and solve
Lesson 7.4
problems (e.g., find the
Lesson 7.6
height of a tree; find the
amount of paint needed for
a room, scale model)
Lesson 6.3
MA 12.2.5.b Apply
appropriate units and scales Lesson 6.4
to solve problems involving
measurement
Lesson 6.5
Lesson 6.7
Lesson 7.3
Lesson 7.4
MA 12.3.1.a Represent,
interpret, and analyze
functions with graphs,
tables, and algebraic
notation and convert among
these representations (e.g.,
linear, non-linear)
MA 12.3.1.b Identify domain
and range of functions
represented in either
symbolic or graphical form
(e.g., linear, non-linear)
MA 12.3.1.e Graph linear
and non-linear functions
MA 12.3.2.a Model
contextualized problems
using various
representations (e.g.,
graphs, tables, one variable
equalities, one variable
inequalities, linear
equations in slope intercept
form, inequalities in slope
intercept form, system of
linear equations with two
variables)
MA 12.4.2.b Support
inferences with valid
arguments
Lesson 6.1
Lesson 6.1
Lesson 6.1
Lesson 6.1
Lesson 6.3
Lesson 6.6
Lesson 7.1
Lesson 7.2
Mathematics BENCHMARK 4
Instruction: Start Date – Quarter 4 (November/April)
End Date – End of quarter 4 (December/May)
Benchmark Test Dates Benchmark Analysis Date Essential Standards
Lessons Aligned to ES
Lesson 11.4
MA 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 (e.g., 10 л (pi)
is approximately 31.4,
square and cube roots)
Lesson 8.1
MA 12.2.1.b Analyze
properties and relationships Lesson 8.2
among classes of two and
Lesson 8.4
three dimensional geometric Lesson 8.6
objects using inductive
Lesson 12.1
reasoning and
counterexamples
Lesson 10.1
MA 12.2.1.g Know the
definitions and basic
Lesson 10.2
properties of a circle and
Lesson 10.3
use them to prove basic
Lesson 10.4
theorems and solve
Lesson 10.5
problems
Lesson 10.6
Lesson 10.7
MA 12.2.2.a Use coordinate
geometry to analyze
geometric situations (e.g.,
parallel lines, perpendicular
lines, circle equations)
Lesson 10.7
MA 12.2.2.c Apply the
distance formula
Lesson 8.2
MA 12.2.2.d Prove special
types of triangles and
quadrilaterals (e.g., right
triangles, isosceles
trapezoid, parallelogram,
rectangle, square)
MA 12.2.4.b Use geometric
models to visualize,
describe, and solve
problems (e.g., find the
height of a tree; find the
amount of paint needed for
a room, scale model)
MA 12.2.5.a Use strategies to
find surface area and
volume of complex objects
MA 12.2.5.b Apply
appropriate units and scales
to solve problems involving
measurement
MA 12.2.5.c Convert
between various units of
area and volume, such as
square feet to square yards
MA 12.2.5.f Determine
surface area and volume of
three-dimensional objects
(e.g., spheres, cones,
pyramids)
MA 12.3.1.a Represent,
interpret, and analyze
functions with graphs,
tables, and algebraic
notation and convert among
these representations (e.g.,
Lesson 8.3
Lesson 8.4
Lesson 8.5
Lesson 11.1
Lesson 12.1
Lesson 12.2
Lesson 12.3
Lesson 12.5
Lesson 12.7
Lesson 12. 5
Lesson 12.6
Lesson 12.7
Lesson 10.5
Lesson 11.1
Lesson 11.3
Lesson 11.5
Lesson 12.3
Lesson 12.4
Lesson 12.5
Lesson 12.6
Lesson 11.3
Lesson 12.3
Lesson 12.5
Lesson 12.6
Lesson 8.1
Lesson 12.5
Lesson 12.7
linear, non-linear)
MA 12.3.1.b Identify domain
and range of functions
represented in either
symbolic or graphical form
(e.g., linear, non-linear)
MA 12.3.1.e Graph linear
and non-linear functions
MA 12.3.2.a Model
contextualized problems
using various
representations (e.g.,
graphs, tables, one variable
equalities, one variable
inequalities, linear
equations in slope intercept
form, inequalities in slope
intercept form, system of
linear equations with two
variables)
MA 12.4.2.b Support
inferences with valid
arguments
Lesson 8.1
Lesson 12.5
Lesson 12.7
Lesson 8.1
Lesson 12.5
Lesson 12.7
Lesson 8.1
Lesson 12.5
Lesson 12.7
Lesson 8.2
Lesson 10.1
Lesson 10.4
Lesson 12.2
Lesson 12.5
Lesson 12.6