ISS Curriculum Guide
Grade 8 – Math
Top
10
EC
1st
sem
ISS Student Friendly Learning
Target
(NCSCOS)
Competency Goal 1: The
learner will understand and
compute with real numbers.
1.01 I can develop an
understanding for all types of
real numbers. I can define
irrational numbers. I can
compare and order real
numbers. I can estimate the
value of real numbers.
Priority
E, M, I,
N
E
(1.01 Develop number sense
for the real numbers.
1.02 I can solve problems by
using different problem solving
methods
E- Essential
Define*Real numbers
*Irrational
*Rational
*Radicals
*Square Roots
*Cube Roots
*Ascending
*Descending
Define inequality
symbols
a. Define and use irrational
numbers
b. Compare and order
c. Use estimates of
irrational numbers in
appropriate situations)
1st
sem
Knowledge Targets
Reasoning Targets
Performance/ Skill
Targets
Product Targets
Approximate the
value of irrational
numbers between
two consecutive
integers
Compare and order
real numbers
Determine if a
radical expression
represents a rational
or irrational number
Simplify radicals
Add and subtract
radicals
M
M – Maintenance I – Important
Define*Estimate
*Approximate
N – Nice to Know
Evaluate cube roots
Solve problems
using various
methods
*Table
*Diagram
Updated 6/10
ISS Curriculum Guide
Grade 8 – Math
Top
10
EC
ISS Student Friendly Learning
Target
(NCSCOS)
(1.02 Develop flexibility in
solving problems by selecting
strategies and using mental
computation, estimation,
calculators or computers, and
paper and pencil.)
Competency Goal 2: The
learner will understand and use
measurement concepts.
2nd
2.01 I can understand how the
Sem perimeter, area, or volume will
change, if I change the length,
width, height, or radius.
Priority
E, M, I,
N
Knowledge Targets
Reasoning Targets
Performance/ Skill
Targets
Product Targets
*Technology
*Working
Backwards
* Paper/Pencil
E
(2.01 Determine the effect on
perimeter, area or volume when
one or more dimensions of twoand three-dimensional figures are
changed.)
Recall how to
calculate perimeter,
area, surface area,
volume, and
circumference
Understand
characteristics of two
and three
dimensional figures
Determine how
changing one or
more of the
following:
Length
Width
Height
Radius
would affect volume,
area, surface area,
perimeter, and
circumference on
two and three
dimensional figures
Evaluate the effects
of changes without
given specific
dimensions
E- Essential
M – Maintenance I – Important
N – Nice to Know
Updated 6/10
ISS Curriculum Guide
Grade 8 – Math
Top
10
EC
ISS Student Friendly Learning
Target
(NCSCOS)
2nd
sem
2.02 I can use indirect
measurement to solve
problems.
Priority
E, M, I,
N
M
(2.02 Apply and use concepts
of indirect measurement.)
1st
sem
Competency Goal 3: The
learner will understand and use
properties and relationships in
geometry.
3.01 I can solve problems using
geometric models and
formulas.
Knowledge Targets
Recall how to solve
similarity problems
using proportions.
3.02 I can apply geometric
formulas, including the
Pythagorean Theorem to solve
problems.
Product Targets
Solve indirect
measurement
problems.
M
Know all geometric
formulas excluding
pyramids, cones, and
spheres.
Know how to solve
problems using the
approximate
geometric models
and formulas.
E
Identify right
triangles
Apply formulas for
finding area,
perimeter/circumference, and volume to
solve problems
3.02 Apply geometric
properties and relationships,
including the Pythagorean
E- Essential
Performance/ Skill
Targets
Define:
*indirect
measurement
(3.01 Represent problem
situations with geometric
models.)
1st
sem
Reasoning Targets
M – Maintenance I – Important
Label legs and
hypotenuse of right
triangle
Define
N – Nice to Know
Use knowledge of
the Pythagorean
theorem and
geometric formulas
to solve problems
Use Pythagorean
theorem to prove
Updated 6/10
ISS Curriculum Guide
Grade 8 – Math
Top
10
EC
ISS Student Friendly Learning
Target
(NCSCOS)
Priority
E, M, I,
N
theorem, to solve problems.
1st
sem
3.03 I can recognize and
describe a dilation. I can
determine whether the dilation
will enlarge or reduce by its
scale factor.
Knowledge Targets
*Pythagorean
triples
* Pythagorean
theorem
*hypotenuse
E
3.03 Identify, predict, and
describe dilations in the
coordinate plane.
Recognize inverse
relationship of
squares and square
roots
Define:
*dilation
*scale factor/ratios
*enlargement
*reduction
*image
*pre-image
Reasoning Targets
Performance/ Skill
Targets
Product Targets
whether the given
sides create a right
triangle
Apply the
Pythagorean theorem
to solve for a missing
side of a right
triangle
Distinguish between
the difference of
using a scale factor
less than one as
opposed to greater
than one
Dilate a figure on the
coordinate plane
given a scale factor
Determine the scale
factor of a dilated
figure by examining
the pre-image and
image
Determine the length
of the hypotenuse
after a dilation with a
given scale factor.
Competency Goal 4: The
learner will understand and use
graphs and data analysis.
E- Essential
M – Maintenance I – Important
N – Nice to Know
Updated 6/10
ISS Curriculum Guide
Grade 8 – Math
Top
10
EC
ISS Student Friendly Learning
Target
(NCSCOS)
Priority
E, M, I,
N
2nd
sem
4.01 I can collect data. I can
organize the data. I can display
the data in a graph (especially a
scatter plot). I can understand
what the data is about.
E
4.01 Collect, organize, analyze,
and display data (including
scatter plots) to solve problems.
2nd
sem
4.02 I can draw a line-of-best fit
for a scatter plot. I can explain
whether the scatter plot shows
a positive, negative, or no
trend. I can use a line-of-best fit
to make predictions about the
scatter plot.
Knowledge Targets
Define:
*correlation
*relationship
*independent
*dependent
*trend
*ordered pairs
Performance/ Skill
Targets
Product Targets
Determine the
placement of a lineof-best fit in a scatter
plot
Create a scatter plot
using data collected
and draw the line-ofbest fit
Recognize trends in a
scatter plot using two
sets of data
Identify the
correlation between
two sets of data
Have an
understanding of the
coordinate plane
E
Select appropriate
intervals for the x
and y axes
Define:
*prediction
*trend line
*correlation
*line of best fit
*scatter plot
4.02 Approximate a line of
best fit for a given scatter plot;
explain the meaning of the line as
it relates to the problem and make
E- Essential
Reasoning Targets
M – Maintenance I – Important
Organize data into a
scatter plot
Make predictions
using the line-of-best
fit in a scatter plot
Predict the equation
of the line-of-best fit
N – Nice to Know
Updated 6/10
ISS Curriculum Guide
Grade 8 – Math
Top
10
EC
ISS Student Friendly Learning
Target
(NCSCOS)
2nd
sem
predictions.
4.03 I can recognize errors in
data and graphs.
Priority
E, M, I,
N
M
(4.03 Identify misuses of
statistical and numerical data.)
Knowledge Targets
Reasoning Targets
Define*Biased/unbiased
*Sample
*Scale
*Misleading
Justify the reason
why a graph or
numerical data set is
misleading.
Performance/ Skill
Targets
Product Targets
Distinguish between
a population and a
sample.
Distinguish between
biased and unbiased
questions.
2nd
sem
Competency Goal 5: The
learner will understand and use
linear relations and functions.
5.01 I can understand the rules
of functions. I can identify a
function by looking at a table
or graph. I can identify a linear
or nonlinear function. I can
define, graph, and calculate
slope and y-intercept. I can
graph a linear function on a
E- Essential
E
M – Maintenance I – Important
Define:
*domain
*range
*relation
*function
*linear equation
*slope
*slope formula
*intercepts
N – Nice to Know
Identify functions in
the following
formats:
-tables
-graphs
-algebraic
equations
Construct a line
given a point and a
slope
Identify relations and
Updated 6/10
ISS Curriculum Guide
Grade 8 – Math
Top
10
EC
ISS Student Friendly Learning
Target
(NCSCOS)
Priority
E, M, I,
N
Knowledge Targets
*input
*output
coordinate plane.
5.01 Develop an understanding of
function.
2nd
sem
a. Translate among verbal,
tabular, graphic, and
algebraic representations of
functions.
b. Identify relations and
functions as linear or
nonlinear.
c. Find, identify, and interpret
the slope (rate of change)
and intercepts of a linear
relation.
d. Interpret and compare
properties of linear
functions from tables,
graphs, or equations.
5.02 I can write a linear
equation with the following
information provided to me:
2 points
Slope & 1 point
Slope & y-intercept
5.02
Performance/ Skill
Targets
Product Targets
functions as linear or
nonlinear
Identify relations as
functions/not
functions
Interpret the slope
and intercepts of a
given line on a graph
E
Define:
*slope-intercept
form
*standard form
*point slope form
*equivalent forms
of equations
Write an equation of a
E- Essential
Reasoning Targets
M – Maintenance I – Important
N – Nice to Know
Use logical
sequencing to
determine the steps
necessary for writing
a linear equation.
Write linear
equations given:
-2 points
-point and slope
-slope and yintercept
Transition a linear
equation from
Updated 6/10
ISS Curriculum Guide
Grade 8 – Math
Top
10
EC
ISS Student Friendly Learning
Target
(NCSCOS)
Priority
E, M, I,
N
linear relationship given: two
points, the slope and one point on
the line, or the slope and yintercept.
2nd
sem
5.03 I can solve linear equations
and inequalities. I can graph
linear equations and
inequalities.
5.04 I can solve equations. I can
do this by using the inverse
operations:
Add/subtract
Multiply/Divide
Squares/square roots
Cubes/cube roots
E- Essential
Reasoning Targets
Recall
*slope formula
*ordered pairs
*x and y
coordinate
*x and y intercepts
E
Explain rules of
linear inequalities
and equations.
Performance/ Skill
Targets
Product Targets
standard form to
slope-intercept form
Determine
independent and
dependent variables
Find the x and y
intercept given:
-a graph
-equation in slope
intercept form
-equation in
standard form
Given a real-world
scenario, collect and
graph data, to solve
problems
Define and apply
appropriate
inequality symbols
*At least/At most
5.03 Solve problems using
linear equations and inequalities;
justify symbolically and
graphically.
1st
sem
Knowledge Targets
E
M – Maintenance I – Important
Recall slopeintercept form
Understand like
terms
Recall inverse
relationships
Determine necessary
steps for solving
equations

Combine like
terms
Demonstrate
proficiency in
solving equations
using inverse
relationships
Know real number
N – Nice to Know
Updated 6/10
ISS Curriculum Guide
Grade 8 – Math
Top
10
EC
ISS Student Friendly Learning
Target
(NCSCOS)
Priority
E, M, I,
N
5.04 Solve equations using the
inverse relationships of addition
and subtraction, multiplication
and division, squares and square
roots, and cubes and cube roots.
8th Grade Objectives by Semesters
1st Semester
1.01 E
1.02 M
5.04 E
3.01 M
3.02 E
3.03 E
2.01 E
2.02 M
E- Essential
M – Maintenance I – Important
Knowledge Targets
Reasoning Targets
properties

Know
-squares
-square roots
- cubes
-cube roots


Performance/ Skill
Targets
Product Targets
Distributive
Property
Multi-step
Variables on
both sides
2nd Semester
4.01 E
4.02 E
4.03 M
5.01 E
5.02 E
5.03 E
N – Nice to Know
Updated 6/10