ELMS Curriculum Map for: 8th grade Math
Semester 1
Unit 1
Unit 2
Name: Transformations,
Congruence, and Similarity
Time frame: 4-5 weeks
Standards/Elements: MCC8.G.15
Name: Exponents
KUDs
Know:
 Properties of
transformations that result
in congruency or
similarity
 Angle relationships and
properties that result from
parallel lines
KUDs
Know:
 Differences between
rational numbers (including
perfect squares and roots
and perfect cubes and roots)
and irrational number and
where they fall on a number
line
 Properties of integer
exponents
 How to use scientific
notation correctly
 Solve linear equations with
one variable that include
roots
Understand:
 Coordinate geometry can
be a useful tool for
understanding geometric
shapes and
transformations.
 Translations, reflections,
Unit 3
Name: Geometric Applications of
Exponents
Time frame: 4-5 weeks
Time frame: 4-5 weeks
Standards/Elements:
Standards/Elements: MCC8.G.6-9
MCC8.EE.1,2(evaluating),3,4,7a&b MCC8.EE.2(equations)
MCC8.NS.1 &2
Understand: 
 Square and cube roots can be
rational or irrational.
 An irrational number is a real
number that cannot be written
as a ratio of two integers.
 Every number has a decimal
KUDs
Know:
 Properties of exponents
 The Pythagorean Theorem as
well as its converse.
 Three dimensional shapes
 Volume formulas
Unit 4
Name: Functions
Time frame: 2-3 weeks
Standards/Elements:
MCC8.F.1&2
KUDs
Know:
 Recognize a function as
verbal expressions, equation,
graphs, or tables. a context,
a graph, or a tables.
 Identify inputs and outputs
and recognize those that
represent a function as well
as those that do not
 How to verify that for each
input there is exactly one
output
 How to use multiple
representations of functions
and translate among them
Click here to enter text.
Understand:
Understand:
 The Pythagorean Theorem can
 A function is a specific
be used both algebraically and
type of relationship in
geometrically to solve
which each input has a
problems involving right
unique output.
triangles on the coordinate
 A function can be
plane as well as real world
represented in an input-
ELMS Curriculum Map for: 8th grade Math

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and rotations are
transformations that
produce congruent figures.
Dilations are
transformations that
produce similar figures.
Depending on the scale
factor a dialation may
result in a reduction or
enlargement of a figure.
Congruent figures have a
unique set of properties
that are different than the
properties of similar
figures.
Parallel lines cut by
transversals result in
special angle relationships.
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Do:
expansion.
All real numbers can be
plotted on a number line.
Irrational numbers can be
estimated to determine their
value in order to compare
them to rational numbers.
√2 is irrational.
Exponents and scientific
notation are useful for
representing very large or
very small numbers.
Properties of integer
exponents can be use to
generate equivalent
numerical expressions.
Squares and their roots as
well as cubes and their roots
are inverse operations.
Linear equations in one
variable can have one
solution, infinitely many
solutions, or no solutions.
Do:
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
Reflect ,rotate, translate,
and dilate two
dimensional figures on a
coordinate plane.
Determine congruency or
similarity of two
dimensional figures by
using properties of
transformations.
Calculate indirect
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situations.
There is a relationship between
the Pythagorean Theorem and
the distance formula.
Right triangles have a special
relationship among the side
lengths which can be
represented by a model and a
formula.
Attributes of geometric figures
can be used to identify figures
and find volume.
Change the dimensions of a
figure has an effect on its
volume.
Do:
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Simplify expressions that
contain integer exponents.
Evaluate roots of perfect
squares and cubes.
Express number in scientific
notation and perform
operations with scientific
notations.
Solve a one variable
equation including those
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
output table.
A function can be
represented graphically
using ordered pairs that
consist of the input and
the output of the function
in the form (input,
output).
A function can be
represented with an
algebraic rule.
Do:

Apply the Pythagorean
Theorem and its converse
using the coordinate plane and
three dimensional figures in
real world contexts.
 Use the area of squares to
prove the Pythagorean
Theorem as wells as its
converse
 Use the distance formula and
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Represent a function with
a table or graph
Graph a linear function
Differentiate between a
function and a linear
function
Compare functions using
multiple representations
(tables, graphs and
equations and descriptive
ELMS Curriculum Map for: 8th grade Math

measurements using the
properties of similar
figures and parallel lines.
Apply the properties of
parallel lines cut by
transversals and their
special angle relationships
to establish triangle
similarity and identify
special angle measures.

with roots.
Place square and cube roots
on the number line.
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
recognize it to be another form
of the Pythagorean Theorem
Calculate the volume of
cylinders, cones, and spheres
Show how a change in one
dimension will affect the
volume of a three dimensional
figure
(verbal))
Vocabulary: transformation,
rigid motion, nonrigid motion,
congruent, image, rotation,
reflection, line of reflection,
translation, dilation, twodimensional figure, clockwise,
counter clockwise, coordinate
plane, origin, vertex, point of
rotation, x axis, y axis,
coordinates, scale factor, prime
symbol, similarity, parallel lines,
transversal, corresponding angles,
alternate exterior and interior
angles, vertical angles, same side
interior, supplementary,
complementary, interior and
exterior angles
Vocabulary: integer exponents,
square root, cube root, rational
numbers, irrational numbers,
scientific notation, standard
notation, variable, equations,
radical, radicand, base, exponent,
power, perfect square, perfect cube,
denote, principal square root, real
numbers, repeating decimal,
terminating decimal, addition
property of equality, additive
inverse, algebraic expression,
multiplication property of equality,
multiplicative inverse, like terms,
decimal expansion
Vocabulary: sphere, cone, cylinder,
formula, volume, pi,
Three dimensional Pythagorean
theorem, hypotenuse, legs, converse,
distance formula
Vocabulary: function, input,
linear equations, linear function,
output, independent variable,
dependent variable
Performance Task: Aaron’s
Design www.mathshell.org,
Transformed by Art and City
Project
Performance Task: living on the
moon(Holt McDougal explorations
in core math), NASA scientific
notation task,
Performance Task:
Where in the Park is Xander? (From
Holt McDougal explorations in core
math
Performance Task: The Vending
Machine, Order Matters, Which
is Which, Functions Mess (See
teacher guide for state unit)
Click here to enter text.
Notes: Click here to enter text.
Notes Click here to enter text.
Notes See other task on
http://www.learningvillage.gadoe.org_
Notes Click here to enter text.
ELMS Curriculum Map for: 8th grade Math
ELMS Curriculum Map for: 8th grade Math
Semester 2
Unit 5
Name: Linear Functions
Time frame: 3-4 Weeks
Standards/Elements: MCC8.EE.5
&6 MCC8.F. 3, 4 & 5
KUDs
Know:
 Proportional relationships
use ratios and unit rate
 How to create graphs and
determine “steepness” of
the unit rate – slope
 Different representations of
unit rate – graphically,
verbally, and algebraically
 Corresponding sides of
similar triangles will have
the same slopes
 Recognize equations in
standard as well as slope
interecpet form
Understand:
 Patterns and relationships
can be represented
graphically, numerically,
and symbolically
 The connections between
proportional relationships,
lines and linear equations.
 Equations represent line as
well as data that can be
Unit 6
Unit 7
Name: Linear Models and Tables
Unit 8
Name: Solving Systems of
Equations
Time frame: 5-6 weeks
Time frame: 4-5 weeks
Standards/Elements: MCC8.F 4&5 Standards/Elements: MCC8.EE.8
MCC8.SP .1-4
a,b,&c
Name: Show What We
Know/Remediation
Time frame: 3-4 weeks
Standards/Elements: Remediation
All Standards/ High School
Preparation
KUDs
Know:
 Recognize bivariate data is
used to identify trends and
relationships as well as
make predictions.
 Identify the relationships of
bivariate data as having a
positive, negative, or no
correlation.
 Use the best representation
of data given a situation in
context.
KUDs
Know:
 Parallel lines will have no
solution;
 Intersecting lines will have
one solution
 Equations of the same line
will have infinite solutions
 Y intercepts and slope can
be used to create a line that
represents an equation.
KUDs
Know:
FOR REMEDIATION REFER TO
ALL PREVIOUS UNITS
Understand:
 Collecting and examining
data can help discover
patterns that can be used to
make predictions based on
the data.
 Written descriptions, tables,
graphs, and equations are
useful in representing and
investigating relationships
Understand:
 There are situations that
require two or more
equations to be satisfied
simultaneously.
 There are several methods
for solving and interpreting
systems of equations
including graphically and
algebraically.
Understand:
FOR EMEDIATION REFER TO
ALL PREVIOUS UNITS
FOR HIGH SCHOOL
PREPARATION ( to prepare for
Unit 1 of Coordinate Algebra)
 Expressions
 Equations
 Exponents
 Problem Solving
FOR HIGH SCHOOL
PREPARATION ( to prepare for
Unit 1 of Coordinate Algebra)
 That expressions and
equations are different
 Terms are separated by plus
ELMS Curriculum Map for: 8th grade Math

interpreted from tables or
verbal descriptions.
Slope is a rate of change.
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Do:
Do:
Graph proportional

relationships
Interpret unit rate as the
slope
Compare two different

proportional relationships
represented in different
ways

Use similar triangles to
explain why the slope is the
same between any two

points on a non-vertical line
Interpret and graph

equations in slope intercept
form and standard form

between varying quantities
and
Different representations of
data can be used to
communicate relationships
in data and influence
opinion.
Linear functions may be
use to represent and
generalize real situations.
Slope and y-intercept are
keys to solving real
problems involving linear
relationships.
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The number of solutions to
a system of equations can
vary.
The solution to a system of
equations is the point of
intersection when the
equations are graphed and
is the value that satisfies
both equations.
Parallel lines will have no
solution and will have the
same slope.
Two co-linear lines share
all of the same points,
therefore they have infinite
solutions.
Do:
Identify the rate of change
and the initial value (yintercept) from tables,
graphs, equations, or verbal
descriptions
Write a model for a linear
function
Sketch a graph when given
a verbal description of a
situation
Analyze scatter plots and
determine a line of best fit
Recognize patterns and
interpret bivariate data and
use it to create graphs and
linear models.
.
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Find the solution(s) to a
system of equations
algebraically
Estimate the solution for a
system of equations by
graphing
Apply knowledge of
systems of equations to
real-world situations
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
or minus
Coefficients are the
numerical values that are
multiplied by the variables
Exponent properties are
useful in problem solving
Do: FOR REMEDIATION
REFER TO ALL PREVIOUS
UNITS
FOR HIGH SCHOOL
PREPARATION ( to prepare for
Unit 1 of Coordinate Algebra)
 Differentiate between
expressions and equations
 Evaluate expression
 Solve equations
 Evaluate exponents using
properties and in problem
context
ELMS Curriculum Map for: 8th grade Math
Vocabulary: unit rate,
proportional ratios, origin,
intersecting lines, similar triangles,
linear functions, slope-intercept
form, rate of change, direct
variation, linear function, nonlinear function, y-intercept
Vocabulary: model, interpret,
Vocabulary: Simultaneous linear
initial value, y-intercept, qualitative equations, system of equations, no
variables, linear, non-linear, slope, solution, infinite solutions,
rate of change, bivariate data,
quantitative variables, scatter plot ,
line of best fit (trend line),
clustering, outlier, positive
correlation ,negative correlation, no
correlation,two way table,
Vocabulary FOR REMEDIATION
REFER TO ALL PREVIOUS
UNITS
Performance Task: Framework:
What’s My Line. Also a good
performance task in Holt
McDougal Page 233
Performance Task:
Framework: How Long Should
Shoe Laces Be?
Framework: Heartbeats
Holt McDougal Page 271
Performance Task: Cara’s Candles
Performance Task
HIGH SCHOOL PREP – Cell
Phone Plans ; What are the
coefficients (see Unit 7
Framework) (Also see framework
for 9th grade)
Notes:
Notes
Notes Click here to enter text.
Notes Click here to enter text.
FOR HIGH SCHOOL
PREPARATION ( to prepare for
Unit 1 of Coordinate Algebra)
 Expressions
 Equations
 Exponents
 Terms
 coefficients