Fayette County Schools
Mathematics Learning Map
8th Grade
Unit EQ
Benchmark CSOs
1st Nine Weeks
How does the difference between linear and non-linear relationships
help you make predictions and informed decisions?
M.O.8.2.6 - graph linear
M.O.8.2.7 - formulate and apply a rule M.O.8.2.8 - determine the slope of a
equations and inequalities
to generate an arithmetic, geometric
line using a variety of methods
within the Cartesian
and algebraic pattern.
including
coordinate plane by
 graphing
generating a table of values
 change in y over change in x
(with and without technology).
equation.
Standards Based
Math Unit
Tech Steps
21st Century
Online Resources
Lesson EQ’s
Thinking with Mathematical Models
There is not a Tech Steps Lesson required for this CSO, see Ed Class (optional).
How do you graph linear
equations after creating a
table of values?
How can you recognize linear and
nonlinear patterns in tables and
graphs?
How can you determine the slope of a
line given a table, equation, or graph?
Unit Vocabulary
Table of values
Coordinate graph
Linear relationship
Non-Linear relationship
Equation
Slope
Pattern
Data
Y-Intercept
Inequality
Expression
Y=mx + b
Page 1 of 11
Fayette County Schools
Mathematics Learning Map
8th Grade
1st Nine Weeks
Unit EQ
In what real life situations can you use the Pythagorean Theorem?
M.O.8.1.1 - analyze, describe
M.O.8.4.3 - solve right triangle
M.O.8.1.2 - analyze and solve
and compare the
problems where the existence of
application problems with
characteristics of rational and
triangles is not obvious using the
 powers,
irrational numbers.
Pythagorean Theorem and indirect
 squares,
Benchmark CSOs
measurement in real-world problem
 square roots,
solving situations.
 scientific notation, and
verify solutions using estimation
techniques.
Standards Based
Math Unit
Tech Steps
21st Century
Online Resources
Lesson EQ’s
Looking for Pythagoras
There is not a Tech Steps Lesson required for this CSO, see Ed Class (optional).
What real numbers can you
locate on a number line?
How do you solve problems with
square roots and powers?
How can you use the Pythagorean
Theorem to solve everyday problems?
Unit Vocabulary
Irrational number
Pythagorean Theorem
Rational number
Real number
Repeating decimal
Terminating decimal
Powers
Squares
Square roots
Page 2 of 11
Fayette County Schools
Mathematics Learning Map
8th Grade
Unit EQ
Benchmark CSOs
Standards Based
Math Unit
2nd Nine Weeks
How can you use patterns of exponential growth to solve real world problems?
M.O.8.2.5 - apply
M.O.8.2.10 - identify a
M.O.8.1.2 - analyze and solve
M.O.8.1.3 - analyze
inductive
and
deductive
real life problem
application problems with
and solve gradereasoning to write a
involving change over
appropriate real-world
 powers,
rule
from
data
in
an
time; make a
 squares,
problems with
input/output table,
hypothesis as to the
 square roots,
 whole numbers, analyze the table and
outcome; develop,
 scientific notation, and
 decimals,
the rule to determine if justify, and implement
verify solutions using estimation
 fractions,
a functional
a method to collect,
techniques.
 percents,
relationship exists.
organize, and analyze
percent increase
data; generalize the
and decrease,
results to make a
 integers, and
conclusion; compare
including, but not
the hypothesis and the
results of the
limited to, rates, tips,
investigation; present
discounts, sales tax
the project using
and interest and verify
words, graphs,
solutions using
drawings, models, or
estimation techniques.
tables.
Growing, Growing, Growing
There is not a Tech Steps Lesson required for this CSO, see Ed Class (optional).
Tech Steps
Project 6-Linear Data
Deductions
Linear Data Deductions
Real Estate
Spreadsheet—Fayette
County
Page 3 of 11
Rubric
Intro activity: How Similar
Are We? From “More Than
Graphs” Key Curriculum
Press (Optional)
21st Century
Online Resources
Lesson EQ’s
How do you convert from scientific
notation to standards notation and vice
versa?
How can exponential
growth help you solve
problems that extend to
science and business
fields?
How can a table help you
determine if a set of data
represents a function?
How can patterns of
exponential growth help
you to solve problems?
Unit Vocabulary
Scientific notation
Standard form
Exponential growth
Table
Pattern
Function
Rule
Predict
Page 4 of 11
Fayette County Schools
Mathematics Learning Map
8th Grade
Unit EQ
Benchmark CSOs
Standards Based
Math Unit
Tech Steps
2nd Nine Weeks
In what ways can quadratic relationships help you solve real life
problems?
M.O.8.2.7 - formulate and apply a
M.O.8.2.9 - represent and solve
rule to generate an arithmetic,
real-world grade-appropriate
problems using multiple strategies
geometric, and algebraic pattern.
and justify solutions.
Frogs, Fleas, and Painted Cubes
How do you determine scale factors
from scale models?
M.O.8.3.5 - create scale models of
similar figures using ratio,
proportion with pencil/paper and
technology and determine scale
factor.
Other Resources
There is not a Tech Steps Lesson required for this CSO, see Ed Class (optional).
21st Century
Online Resources
Lesson EQ’s
How can you generate a rule
given a geometric pattern? How
can you generate a rule given an
algebraic pattern?
How can quadratic relationships
help you solve real world
problems?
How do you determine scale factors
from scale models?
Unit Vocabulary
Quadratic
Scale model
Scale factor
Function
Geometric pattern
Algebraic pattern
Page 5 of 11
Fayette County Schools
Mathematics Learning Map
8th Grade
Unit EQ
Benchmark CSOs
3rd Nine Weeks
How can symbolic expressions help you solve problems?
M.O.8.2.1 - use a variety M.O.8.2.3 - add and
M.O.8.2.4 - use systems
of strategies to solve one subtract polynomials
of linear equations to
and two-step linear
limited to two variables
analyze situations and
equations and
and positive exponents.
solve problems.
inequalities with rational
solutions; defend the
selection of the strategy;
graph the solutions and
justify the
reasonableness of the
solution.
M.O.8.2.2 - identify
proportional relationships
in real-world situations,
then find and select an
appropriate method to
determine the solution;
justify the
reasonableness of the
solution.
Say It With Symbols
Other Resources
Standards Based Math
Unit
Tech Steps
21st Century
Online Resources
Lesson EQ’s
Unit Vocabulary
Linear equations
Polynomials
Variables
Exponents
There is not a Tech Steps Lesson required for this CSO, see Ed Class (optional).
How do you solve linear
equations and justify
your answer?
How do you simplify
polynomials using
algebraic operations?
Proportion
Commutative property
Distributive property
Inequalities
How do you interpret
data given linear
systems of equations?
How can you apply and
solve proportional
relationships in real
world problems?
Equation
Expression
Page 6 of 11
Fayette County Schools
Mathematics Learning Map
8th Grade
3rd Nine Weeks
What effect do transformations have on figures?
What does symmetry tell you about a figure?
Unit EQ
Benchmark CSOs
M.O.8.3.1 justify the
relationships
among
corresponding,
alternate
interior,
alternate
exterior and
vertical angles
when parallel
lines are cut by
a transversal
using models,
pencil/paper,
graphing
calculator, and
technology.
M.O.8.3.2 classify
polyhedrons
according to
the number
and shape of
faces; use
inductive
reasoning to
determine the
relationship
between
vertices, faces
and edges
(edges + 2 =
faces +
vertices).
M.O.8.3.3 identify, apply,
and construct
perpendicular
and angle
bisectors with
and without
technology)
given a realworld situation.
M.O.8.3.4 create
geometric
patterns
including tiling,
art design,
tessellations
and scaling
using
transformations
(rotations,
reflections,
translations)
and predict
results of
combining,
subdividing,
and changing
shapes of
plane figures
and solids.
M.O.8.3.6 make and test
a conjecture
concerning
- regular
polygons,
the cross
section of a
solid such as
a cylinder,
cone, and
pyramid,
-the
intersection of
two or more
geometric
figures in the
plane (e.g.,
intersection of
a circle and a
line), and
-justify the
results.
M.O.8.4.1 select and
apply an
appropriate
method to
solve; justify
the method and
the
reasonableness
of the solution
of problems
involving
volume of
prisms,
cylinders,
cones,
pyramids,
spheres given
real-world
problem solving
situations.
Standards Based
Math Unit
Kaleidoscopes, Hubcaps, and Mirrors
Tech Steps
There is not a Tech Steps Lesson required for this CSO, see Ed Class (optional).
M.O.8.4.2 solve problems
involving
missing
measurements
in plane and
solid geometric
figures using
formulas and
drawings
including
irregular
figures, models
or definitions.
21st Century
Online Resources
Page 7 of 11
Lesson EQ’s
How do you
determine
missing angle
measurements?
When given a
visual
representation,
how do you
classify
polyhedrons?
What is the
process for
constructing
perpendicular
and angle
bisectors?
How do
transformations
help you to
create
geometric
patterns,
including
tessellations?
When given
the
intersection of
figures, what
conjectures
can you make
regarding the
relationships?
How do you
solve real world
problems
involving
volume?
How do you
find missing
angle or side
measures of
congruent
figures?
Unit Vocabulary
Parallel lines
Transversal
Corresponding angles
Alternate interior
Alternate exterior
Vertical angles
Angle
Polyhedron
Perpendicular bisector
Angle bisector
Transformation
Tessellation
Rotation
Reflection
Translation
Conjectures
Volume
Congruent
Vertices
Faces
Edges
Polygon
Cylinder
Cone
Pyramid
Prism
Sphere
Page 8 of 11
Fayette County Schools
Mathematics Learning Map
8th Grade
Unit EQ
Benchmark CSOs
4th Nine Weeks
What is the relationship between probability and statistics?
M.O.8.5.5 - draw inferences, make
M.O.8.5.3 - create and extrapolate
conjectures and construct convincing
information from multiple-bar graphs, box
arguments involving
and whisker plots, and other data displays
 different effects that changes in data
using appropriate technology.
values have on measures of central
tendency
 misuses of statistical or numeric
information, based on data analysis
of same and different sets of data.
Standards Based Math Unit
Samples & Populations
Tech Steps
21st Century
Online Resources
There is not a Tech Steps Lesson required for this CSO, see Ed Class (optional).
Lesson EQ’s
How do you create and interpret multiple
data displays?
How do you compare and contrast data
using mean, median, and mode?
Unit Vocabulary
Biased sample
Box and Whisker plot
Histogram
Scatter plot
Stem and Leaf plot
Quartile
Multiple-Bar graph
Measures of central tendency
Mean
Median
Mode
Range
**Science Connection**
Collaboration between the math and science teacher is encouraged, as this lesson addresses many math and science WV CSO’s.
Page 9 of 11
Overview:
These activities emphasize the connections between science and mathematics by using a performance, or authentic, assessment
format. Students have the opportunity to explore applications involving their own heart.
Activating Thinking Strategy – Read the picture book, The Magic School Bus: Inside the Human Body.
Thinkfinity Lesson Link: The Beat of your Heart
Page 10 of 11
Fayette County Schools
Mathematics Learning Map
8th Grade
Unit EQ
Benchmark CSOs
4th Nine Weeks
What strategies can you use to solve problems that involve counting?
M.O.8.5.1 - determine and
M.O.8.5.4 - analyze problem
M.O.8.5.2 - compare the
explain whether a real-world
situations, games of chance,
experimental and theoretical
situation involves permutations
and consumer applications
probability of a given situation
or combinations, then use
using random and non-random
(including compound probability
appropriate technology to solve
samplings to determine
of a dependent and
the problem.
probability, make predictions,
independent event).
and identify sources of bias.
Standards Based Math Unit
Clever Counting
Tech Steps
21st Century
Online Resources
There is not a Tech Steps Lesson required for this CSO, see Ed Class (optional).
Lesson EQ’s
How do you use permutations
or combinations to solve
problems?
How do you differentiate
between experimental and
theoretical probability?
How do you differentiate
between sampling methods?
Unit Vocabulary
Permutation
Combination
Experimental probability
Theoretical probability
Dependent event
Independent event
Random
Non-random
Samples
Page 11 of 11