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ISS Curriculum Guide: Algebra I
ISS Student Friendly Learning
Target (NCSCOS)
Priority
E, M, I,
N,
I can solve problems by using
exponents, operating with
polynomials, and factoring.
E
Knowledge Targets
Know exponent laws: multiply,
power to power, divide, zero, and
negative
Reasoning Targets
Determine when to apply
laws of exponents
Distinguish the types of
Polynomials: Be able to recognize factoring: GCF, difference of
“like terms”, distributive property, squares, trinomials
difference of squares, perfect
square trinomials, GCF, factors
(1.01 Write the equivalent forms of
algebraic expressions to solve
problems (apply laws of exponents,
operate with polynomials, and factor
polynomials))
(Approx. 11% of EOC)
(1.02 Use formulas and algebraic
expressions, including iterative and
recursive forms, to model and solve
problems)
(Approx. 8% of EOC)
E- Essential
M – Maintenance
E
Translate into expression or
equations
recursive U n 1 and
Evaluate expressions and
equations
Recognize arithmetic and
geometric sequences
Operation Words: more than, less,
less than, product, quotient, per,
each, every, a
I – Important
N – Nice to Know
Operate with polynomials
Factor polynomials
*Extension: Factoring
trinomials when A is not
equal to 1, factoring by
grouping.
Substitute, translate, variables,
order of operations, difference
between expression and equation,
U n1 .
Apply laws of exponents to
solve (ex: divide binomial by
monomial)
Use properties of equality to
compare equivalent
expressions. (commutative
and associative)
Identify the different types of
polynomials. (monomials,
binomials, trinomials)
Definition of factoring
I can use formulas and algebraic
expressions to write and solve
problems, including recursion.
Performance Skill Targets
*Extension: Dividing
polynomials by factoring
Use formulas, algebraic
expressions and patterns to
model and solve problems
Use recursive forms to model
and solve problems
*Extension: Use surface area
and volume formulas to
solve problems (in
accordance with potential
new standards)
6/26/2017
ISS Curriculum Guide: Algebra I
ISS Student Friendly Learning
Target (NCSCOS)
Priority
E, M, I,
N,
I can write and solve problems
using direct variation.
Knowledge Targets
Reasoning Targets
Performance Skill Targets
M
Constant of variation,
coefficient, ratio, proportion, rate
of change, grade/gradient
Compare the relationship
between direct variation and
slope-intercept form
Model (write) equations
using direct variation and
use to solve problems
E
Identify coordinates for given
points
Determine which formula to
use in order to find the
midpoint, endpoint, and
length of segment
(Ex. halfway, center of
circles, diameter, radius,
perimeter, and using
compass directions)
(Ex. Endpoints – using
patterns or graphing
techniques)
Use distance formula or
midpoint formula or
combination of both to solve
word problems
(1.03 Model and solve problems
using direct variation)
(Approx. 5% of EOC)
I can use the midpoint and
distance formulas to solve
problems.
Recall and understand the
distance formula
(2.01 Find the lengths and
midpoints of segments to solve
problems)
(Approx. 6% of EOC)
Recall and understand the
midpoint formula
Recall and understand the
Pythagorean Theorem
I can determine parallel and
perpendicular lines and use them
to solve problems.
(2.02 Use the parallelism and
perpendicularity of lines and
segments to solve problems)
(Approx. 5% of EOC)
E- Essential
M – Maintenance
E
Identify slopes
Identify the opposite reciprocal
Recognize the three forms of
linear equations. (Emphasize
standard and slope-intercept.)
I – Important
N – Nice to Know
Use distance formula or the
Pythagorean Theorem to find
perimeter and area
Simplify with square roots
*Extension: Operating with
Square Roots
Compare slopes to determine Compare the slopes between
if lines are parallel or
four ordered pairs to
determine parallel and
perpendicular
(Ex. Consider word problems perpendicular
in which the slope does not
change)
Given a line in any form,
students are to create linear
Determine if sides of a shape equations that are parallel or
are parallel and
perpendicular to that line
perpendicular
through a given point
6/26/2017
ISS Curriculum Guide: Algebra I
ISS Student Friendly Learning
Target (NCSCOS)
Priority
E, M, I,
N,
I can display and interpret data in
matrix form.
E
Knowledge Targets
Dimensions, Row, Column,
Element
(3.01 Use matrices to display and
interpret data)
(Approx. 10% of EOC)
I can add and subtract matrices,
and multiply by a scalar.
(3.03 Use linear models for sets of
data to solve problems)
(Approx. 9% of EOC)
E- Essential
M – Maintenance
Formulate a matrix from
word problems, charts, and
graphs
Performance Skill Targets
Use matrices to display data
Use matrices to interpret data
Perform operations on
elements of matrices
E
Dimensions, Row, Column,
Element, Scalar
(3.02 Operate (addition, subtraction,
and scalar multiplication) with
matrices to solve problems)
(Approx. 11% of EOC)
I can create linear models from
data and use them to solve
problems.
Reasoning Targets
Determine if adding or
subtracting matrices is
possible based on
dimensions
Add matrices
Subtract matrices
Scalar multiplication
E
Know calculator steps to create
linear regression/ line of best-fit
(STAT-EDIT)
Analyze information to know Use calculator (TI-83/84) to
that a linear model is
create a best-fit linear
appropriate
equation from data
Use linear equation to
Understand scatter plots, ordered
Interpret the appropriate
predict, draw conclusions or
pairs and their relationships,
dependent and independent
analyze information
independent/ dependent variables
variable based on the data
(Ex. Understand the meaning
set.
of the slope: increasing/
Identify line of best fit, linear
(Ex. Let 1990 = 0, therefore
appreciate, decreasing/
model, linear regression, trend line 1995 = 5.)
depreciate
Understand the meaning of
Identify graphs based on subsets of
the y-intercept: initial
real numbers
value, flat fee, fixed rate,
I – Important
N – Nice to Know
6/26/2017
ISS Curriculum Guide: Algebra I
ISS Student Friendly Learning
Target (NCSCOS)
Priority
E, M, I,
N,
I can write linear functions and
inequalities and use them to solve
problems.
E
(4.01 Use linear functions or
inequalities to model and solve
problems)
(Approx. 14% of EOC)
Knowledge Targets
Slope (rate of change): Identify
slope from an equation, ∆y/∆x,
using the slope formula and
horizontal and vertical lines.
Analyze inequalities
Identify intercepts from an
equation and know what x and y
intercepts represents.
Explain the meaning of
slopes and intercepts based
on a given situation.
(4.02 Graph, factor, and evaluate
quadratic functions to solve
problems)
(Approx. 6% of EOC)
E
Convert between slope
intercept and standard form
Identify x-coordinate/domain/
independent variable.
Distinguish between a
relation and a function in
various forms. (tables,
mapping, lists, and graphs)
*Extension: Identify absolute
value
Identify: maximum, minimum,
vertex, zeros/ roots/ solutions,
intercepts, independent/ dependent
variables
Describe domain and range of
quadratic functions.
*Extension: Quadratic Formula
E- Essential
M – Maintenance
Interpret how changing a
slope affects the graph.
Know whether a point is a solution
to a line.
Identify y-coordinate/range/
dependent variable.
I can graph, factor, and evaluate
quadratic functions to solve
problems.
Reasoning Targets
I – Important
N – Nice to Know
Performance Skill Targets
deposit)
Write linear equations and
inequalities (ex. Profit/loss,
daily rate/ commission,
appreciation/ depreciation,
given two points, a point and
a slope, slope and yintercept)
Solve problems using linear
equations and inequalities.
*Extension: Graph absolute
value equations.
*Extension: Translate
absolute value graphs from
parent graphs.
*Extension: Point-Slope
Form
Interpret: zeros, maximum,
minimum, leading
coefficient
Graph quadratic functions
Use zeros to find factors
Use quadratic functions to
solve word problems
(Ex. How high, hit the
ground, when a max, when at
a value)
*Extension: Use quadratic
formula to find solutions
Factor quadratic functions
6/26/2017
ISS Curriculum Guide: Algebra I
ISS Student Friendly Learning
Target (NCSCOS)
Priority
E, M, I,
N,
I can write systems of linear
equations or inequalities and use
them to solve problems.
E
Knowledge Targets
Reiterate slope-intercept and
standard form
Identify a solution/intersection
(4.03 Use systems of linear
equations or inequalities in two
variables to model and solve
problems. Solve using tables,
graphs, and algebraic properties.)
(Approx. 11% of EOC)
Choose the appropriate shading of
an inequality and the type of line
to use (dotted or solid)
Different methods in which to
solve: graphing, matrix
*Extension: Substitution and
elimination
I can graph and evaluate
exponential functions to solve
problems.
(4.04 Graph and evaluate
exponential functions to solve
problems)
(Approx. 5% of EOC)
E- Essential
M – Maintenance
I
Identify base, exponents, growth,
decay, initial value/coefficient of
exponential functions
Know the form: y  ab x and
A  P(1  r ) t
Note: Focus on interest
compounded annually
I – Important
N – Nice to Know
Reasoning Targets
Performance Skill Targets
Interpret a solution
(Distinguish which number
of the coordinate or matrix
answers the question)
Solve systems of equations
using: graphing, matrices
Extension: Substitution and
elimination.
Determine if a system has
infinitely many solutions
(coinciding lines) or no
solutions (parallel lines).
Write (model) systems of
equations.
Interpret graphs of
inequalities
*Extension: Use substitution
and elimination to solve
systems
Analyze graphs
(Ex. Growth and decay)
*Note: Systems of
Inequalities have not been
observed on the Released
EOC.
Graph exponential functions
Evaluate exponential
functions
Write exponential equations
given data.
*Extension: Quarterly, Semiannually, monthly
compounded interest
6/26/2017