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E D U C A T I O N
S Y S T E M S
OKLAHOMA
Recommended Algebra I Lesson Order
Lesson
Count
I CAN
Learn®
Lesson #
I CAN Learn® Lesson Title
Prerequisite
Lesson Description
PASS
Common
Core Math
Standards
UNIT 1
1
2
3
HA1-003
HA1-030
4
HA1-062
5
HA1-060
6
Unit 1 Placement Test
Order of Operations
Using Opposites and Absolute Values
MPA-002
HA1-015
Adding, Subtracting, Multiplying, and
Dividing Real Numbers
Evaluating Expressions Using the Order
of Operations
HA1-030
HA1-810
Simplifying Expressions Using the
Multiplication Properties of Exponents
HA1-062
7
HA1-815
Simplifying Expressions with Negative
and Zero Exponents
HA1-060,
HA1-860
8
HA1-818
Simplifying Expressions Using the
Division Properties of Exponents
HA1-062,
HA1-815
9
HA1-065
10
HA1-095
HA1-060,
HA1-860
HA1-065
11
HA1-075
Evaluating Expressions Containing
Exponents
Translating Word Phrases into Algebraic
Expressions
Simplifying Algebraic Expressions by
Combining Like Terms
12
HA1-085
Simplifying Expressions Using the
Properties of Real Numbers
HA1-005,
HA1-065,
HA1-095
13
HA1-003,
HA1-062
HA1-085
Simplify whole numbers and rational expressions using the order of operations.
Use a number line to define opposites of real numbers and define absolute value
graphically. Simplify the sum or difference of two real number expressions which are
enclosed in absolute value symbols.
Add, subtract, multiply, and divide real numbers using multiple operations.
Simplify numerical expressions which contain up to three operations (addition or
subtraction and multiplication or division) and may or may not include grouping symbols.
Simplify numerical expressions where one of the factors to be distributed is –1.
Review terminology (base, exponent, and power). Use the Properties of Exponents to
multiply numerical and algebraic expressions. Apply the properties of exponents and
volume formulas to find the volume of geometric solids with variable measures.
Simplify numeric expressions using the properties for negative and zero exponents.
Evaluate exponential expressions with integer exponents, including the powers of 0 and 1.
Rewrite exponential expressions with positive exponents using the reciprocal. Solve real-life
problems using the properties of integer exponents.
Review the definitions of exponent, power, and base. Simplify exponential expressions
using the Quotient of Powers Property or Power of a Quotient Property. Students will use
the Quotient of Powers Property or Power of a Quotient Property to find the ratio of
geometric figures.
Evaluate algebraic expressions including multiple variables, rational expressions, and
expressions with exponents for given replacement sets of integers.
Translate word phrases into the language of Algebra using simple one variable expressions.
Write an algebraic expression for a given word phrase.
Define the words algebraic term, coefficient, and like terms. Combine like terms using the
distributive property. Use Geometric Models with variable dimensions to solve problems
involving combining like terms.
Use the Associative and Commutative properties to add or multiply compatible numbers.
Define the three properties of equality: reflexive, symmetric, and transitive. Use the
Distributive property and combining like terms to simplify algebraic expressions.
1.2a
7.NS.1
8.EE.1
1.1d
8.EE.1
1.1d
8.EE.1
1.1d
8.EE.1
1.1d
8.EE.1
1.1a, PS 2.1
1.2a
A.SSE.1a
1.2a
Unit 1 Test
UNIT 2
14
Unit 2 Placement Test
I CAN Learn® Education Systems
OKLAHOMA
Algebra I Lesson Order
Lesson
Count
I CAN
Learn®
Lesson #
I CAN Learn® Lesson Title
Prerequisite
15
HA1-076
Basic Distributive Property
HA1-075
16
HA1-079
Using a Concrete Model to Simplify
Algebraic Expressions
HA1-075,
HA1-095
17
HA1-090
Simplifying Expressions Using the
Property of -1
18
HA1-080
Simplifying and Evaluating Algebraic
Expressions Containing Grouping
Symbols
HA1-050,
HA1-075,
HA1-076
HA1-005,
HA1-090
19
HA1-104
Translating Word Statements into
Equations
HA1-095
20
HA1-115
Using the Addition and Subtraction
Properties for Equations
HA1-040,
HA1-045
21
HA1-120
Using the Multiplication and Division
Properties for Equations
HA1-050,
HA1-055
22
HA1-124
Using a Concrete Model to Solve Oneand Two-Step Equations
HA1-080,
HA1-085
23
HA1-125
24
HA1-140
Solving Equations Using More Than One
Property
Solving Equations by Combining Like
Terms
HA1-115,
HA1-120
HA1-075,
HA1-125
25
Unit 2 Test
26
Unit 3 Placement Test
Lesson Description
Simplify an algebraic expression using the distributive property for integers and rational
numbers.
Write an algebraic expression from a model using algebra tiles. Model an algebraic
expression with algebra tiles that requires combining like terms or using the distributive
property. Write an algebraic expression from a model then simplify. Translate a word
phrase into an algebraic expression and model using algebra tiles.
Simplify algebraic expressions using the Multiplication Property of -1. Determine if an
algebraic expression is true or false by correctly applying that property.
PASS
Common
Core Math
Standards
1.2a
1.2a
A.SSE.1
Simplify an algebraic expression by using the Distributive property then combine like terms.
Simplify an algebraic expression by using the distributive property to distribute a negative
one across each term within the grouping symbols when the coefficient outside of the
grouping symbols is implied, Examples include –(2x – 1). Use Geometric Models with
variable dimensions to solve problems involving combining like terms and grouping
symbols.
Define the terms constant and variable. Translate word phrases into algebraic expressions
and equations using one or more operations and one of the following terms: sum,
difference, product, or quotient.
Define addition and subtraction as opposite operations. Determine how to isolate the
variable for a given expression. Define the Addition and Subtraction Properties of
Equations. Solve simple linear equations involving whole numbers.
Define multiplication and division as opposite operations. Determine how to isolate the
variable for a given expression. Define the Multiplication and Division Properties of
Equations. Solve simple linear equations involving whole numbers.
Use algebra tiles to model and solve one- and two-step equations. Given a real-life
situation, use algebra tiles to model the equation then solve the equation and answer the
question.
Solve multi-step linear equations over the rational numbers including equations involving
parentheses and the application of the distributive property.
Solve equations by first using the distributive property then combining like terms, solve, and
check the solution. Simplify an equation by combining like terms whose variables are all on
the right side of the equation then solve and check the solution.
1.2a
A.SSE.1
1.1a, PS 2.1
A.CED.1
Find the solution to an equation with variables on both sides that is modeled by using
algebra tiles. Solve an equation with variables on both sides by using algebra tiles. Use a
model to solve an equation with variables on both sides by demonstrating the distributive
property and combining like terms. Translate a word statement into an equation using
algebra tiles.
Solve multi-step linear equations involving variables on both sides of the equation.
1.1a, 2.2a,
PS 2.1
A.CED.1,
A.REI.1
2.2a
Review of ratios and solving simple proportions using the Means/Extremes Theorem.
1.1d
Solve distance, rate, and time problems by drawing and organizing the information in a
table, writing an equation from the table and solving the equation.
Apply algebraic techniques to solve work problems. Use problem-solving strategies by
using tables and equations to represent the data from a work problem, and solve the word
problem.
Translate a percent statement into an equation and solve the equation.
1.1d, PS
1.1, PS 5.2
1.1d, PS
1.1, PS 1.2,
PS 5.2
1.1d
A.CED.1,
A.REI.1
A.CED.1,
A.REI.1
A.CED.1
A.REI.3
A.REI.3
1.1a, 2.2a
A.CED.1,
A.REI.1
2.2a
A.CED.1,
A.REI.1
A.CED.1,
A.REI.1
2.2a
UNIT 3
27
HA1-144
Using a Concrete Model to Solve
Equations with Variables on Both Sides
HA1-095,
HA1-080
28
HA1-145
29
HA1-360
HA1-076,
HA1-140
HA1-145
30
HA1-160
31
HA1-362
Solving Equations with Variables on
Both Sides
Expressing Ratios in Simplest Form and
Solving Equations Involving Proportions
Writing an Equation to Solve Distance,
Rate, and Time Problems
Solving Work Problems
32
HA1-165
Using Equations to Solve Percent
Problems
HA1-125
I CAN Learn® Education Systems
HA1-115,
HA1-120
MM1-215,
MM1-630
OKLAHOMA
A.CED.1
A.CED.1
Algebra I Lesson Order
Lesson
Count
I CAN
Learn®
Lesson #
I CAN Learn® Lesson Title
Prerequisite
33
HA1-170
Solving Percent of Change Problems
HA1-062
34
HA1-135
Evaluating Formulas
HA1-005,
HA1-125
35
HA1-175
Solving Literal Equations
HA1-145
36
HA1-100
HA1-060,
HA1-062,
HA1-065
37
Finding Solution Sets of Open
Sentences from Given Replacement
Sets
Unit 3 Test
38
Unit 4 Placement Test
Lesson Description
PASS
Common
Core Math
Standards
Calculate the percent of increase and decrease. Find the percent of increase or
decrease in a word problem. Examples include percent of increase in population or
salary, percent of decrease in caloric content, percent of discount on a sale item.
Evaluate and solve a problem using a formula. Examples include finding the base of a
triangle given the area and height, finding the radius of a sphere given the volume, finding
the width of a rectangle given the area and length. Solve for one of the variables in a
word problem containing a formula if the values of the other variables are given.
Examples include finding the amount of sales plus commission, finding car rental fees,
computing the cost of cell phone use.
Evaluate and solve a formula or literal equation for one of its variables using the properties
of equations.
Find solution sets of open sentences from the given replacement sets. Define equation,
inequality, solution, and solution set. Given an equation or inequality and a set of real
numbers, determine which numbers are solutions of the equation or inequality.
1.1d
A.CED.1
1.1c
A.CED.4,
A.REI.3
1.1b
A.REI.3
Translate word statements into an algebraic inequality. Use "is greater than", "is less than", "is
greater than or equal to", or "is less than or equal to". Given a word problem or Geometric
Model, translate into an algebraic inequality.
Identify and describe finite and infinite sets using a number line. Solve multi-step linear
equations and simple inequalities and graph the results using a number line. Use set
notation to describe the solution set of inequalities.
Solve inequalities using the addition and subtraction properties of inequalities then graph
the solution on the number line.
Solve inequalities using the multiplication and division properties of inequalities then graph
the solution on the number line.
2.3b
A.CED.1
2.3a
A.REI.3
2.3a
A.REI.3
2.3a
A.REI.3
Solve and graph complex linear inequalities using more than one property and graph the
solution on a number line.
Define absolute value. Solve standard absolute value equations and check the solution
set.
Define the terms quadrant, x-axis, y-axis, and ordered pairs. Name the coordinate of a
plotted point. Name the coordinate of a plotted point where at least one of the
coordinates is 0 or a decimal.
Verify that a point lies on a line, given an equation of the line.
2.3a
A.REI.3
1.2a
A.REI.3
Define the x- and y- intercepts. Determine the x- and y-intercepts graphically and
algebraically. Graph a linear equation by creating a table of values and by locating the xand y- intercepts.
Determine the slope from a graph of the equation of a line using rise over run. Determine
the slope of a line from two coordinate points given the formula for the change in y (rise)
over the change in x (run). Identify a positive and negative slope. Identify a slope of 0 (y =
b) or an undefined slope (x = a).
Define the standard form and slope-intercept form of a linear equation. Rewrite a given
equation in both forms.
2.2a
A.REI.10,
A.CED.2
2.2c (I),
2.2c(II)
8.EE.5
2.2c (I),
2.2c(II)
A.REI.3
2.3a
UNIT 4
39
HA1-105
Translating Word Statements into
Inequalities
HA1-104
40
HA1-180
Graphing Equations and Inequalities
on the Number Line
41
HA1-185
42
HA1-190
Solving Inequalities Using the Addition
and Subtraction Properties
Solving Inequalities Using the
Multiplication and Division Properties
43
HA1-195
44
HA1-210
45
HA1-370
HA1-015,
HA1-100,
HA1-145
HA1-115,
HA1-180
HA1-120,
HA1-180,
HA1-185
HA1-185,
HA1-190
HA1-030,
HA1-145
HA1-015
46
HA1-375
Solving Inequalities Using More Than
One Property
Solving Equations Involving Absolute
Value
Graphing Ordered Pairs on a
Coordinate Plane
47
Identifying Solutions of Equations in Two
Variables
Unit 4 Test
48
Unit 5 Placement Test
HA1-060,
HA1-370
2.2a
UNIT 5
49
HA1-380
Graphing Linear Equations
HA1-370,
HA1-375
50
HA1-385
Finding the Slope of a Line from its
Graph or from the Coordinates of Two
Points
HA1-380
51
HA1-394
Interchanging Linear Equations
Between Standard Form and Slope-
HA1-175,
HA1-385
I CAN Learn® Education Systems
OKLAHOMA
Algebra I Lesson Order
Lesson
Count
I CAN
Learn®
Lesson #
52
HA1-398
53
HA1-401
54
HA1-405
55
HA1-410
56
I CAN Learn® Lesson Title
Intercept Form
Graphing Linear Equations Using Slope
and y-Intercept or Slope and a Point
Prerequisite
Lesson Description
HA1-395
Use the slope-intercept form of a linear equation to graph a line. Graph a line given the
slope and one point. Solve word problems related to rate of change (slope).
How Variations of “m” and “b” Affect
the Graph of y = mx + b
HA1-398
Explore how variations in "m" and "b" affect the graph of a linear equation. Define
horizontal and vertical slopes and parallel lines.
Determining an Equation of a Line
Given the Slope and Coordinates of
One Point
Determining an Equation of a Line
Given the Coordinates of Two Points
HA1-398
HA1-405
HA1-395
Finding the Equation of a Line Parallel
or Perpendicular to a Given Line
HA1-385
57
HA1-415
Graphing Linear Inequalities with Two
Variables
HA1-195,
HA1-380
58
HA1-416
Graphing Linear Inequalities with Two
Variables Using the Graphing
Calculator
HA1-415
59
Unit 5 Test
60
Unit 6 Placement Test
PASS
Common
Core Math
Standards
2.2c (I),
2.2c(II), PS
4.4
2.2b,
2.2c(II)
A.REI.10
Write the equation of a line in slope-intercept form given the slope and a point that the line
passes through.
2.2d
A.CED.2
Write an equation in slope-intercept form given two points by finding the slope m and the
y-intercept, b. Write an equation in standard form given two points. Write an equation of
a line that represents a word problem or situation.
Write an equation of a line that is parallel to a given line. Find the slope of a line that is
perpendicular to the graph of a line. Determine if two lines are parallel, perpendicular, or
neither from their equations. Write an equation that is parallel or perpendicular to a line
and a given point (x, y). Find the equation that represents a real-life situation involving
perpendicular lines and two points.
Graph a linear inequality with two variables by graphing a boundary line, choosing a test
point, and shading the half-plane that contains the test point of a true statement. Draw a
solid boundary line for the inequality, "is less than or equal to" or "greater than or equal to".
Draw a dashed line for the inequality "is less than" or "is greater than".
GRAPHING CALCULATOR EXPLORATION: Review basic steps in using the TI-83 Plus
Graphing Calculator. Graph an inequality on a graphing calculator and locate a test
point to compare the results. Write an inequality that models word problems and
determine the reasonableness of the answer, Examples include having sufficient money to
buy x number of pens and y number of notebooks.
2.2d
A.CED.2
2.2c(II),
2.2d
A.CED.2
2.3a, 2.3b
A.REI.12
2.3a, 2.3b,
PS 4.3
A.REI.12
Define the terms relation, domain, and range. Determine if the given ordered pairs belong
to the relation.
Write a function as a set of ordered pairs from a given mapping, table, or set of points in
the plane. Use the vertical line test to determine if a graph is a function. Describe the
domain and range of a function given as a mapping, table, set of ordered pairs, or set of
points in the plane. Identify if the relation given as a mapping, table, set of ordered pairs,
or set of points in the plane represents a function.
Use the concepts of independent and dependent variables to determine if a relation is a
function. Find the range of a function described by an equation when given the domain
and vice versa. Describe the domain or the range of the graph of a function using
compound inequalities.
Use function machine models to compute outputs. Find the value(s) of the independent
variable (input) when given the value of the dependent variable (output) of a function
given graphically, including cases when more then one value exists or no such value exists.
Define independent and dependent variables, domain and range. Draw a graph from a
table that represents real-life data and interpret the graph. Find the equation that
represents the graph of a function. Decide which statement best describes the verbal
description of the equation of a function. Decide which statement best describes a verbal
description from a table.
GRAPHING CALCULATOR EXPLORATION: Review basic steps in using the TI-83 Plus
Graphing Calculator. Define the terms: curve and regression. Analyze data using a
graphing calculator and determine if the data represents a linear, quadratic or
2.1b
F.IF.4
2.1b
F.IF.4
2.1c
F.IF.1
2.1d
F.IF.2
2.1c, 2.1d,
2.2c(III),
2.2e, PS
5.1, PS 5.2
F.IF.9
2.1a,
2.2c(I),2.2d
F.LE.3
F.BF.3
UNIT 6
61
HA1-436
Identifying Relations
HA1-370
62
HA1-437
Identifying Relations as Functions
HA1-436
63
HA1-438
Finding the Domain and Range of
Functions
HA1-437
64
HA1-439
Using Function Notation
HA1-438
65
HA1-402
Translating Among Multiple
Representations of Functions
HA1-380
66
HA1-892
Data Analysis Using the Graphing
Calculator
HA1-437
I CAN Learn® Education Systems
OKLAHOMA
Algebra I Lesson Order
Lesson
Count
I CAN
Learn®
Lesson #
I CAN Learn® Lesson Title
Prerequisite
Lesson Description
PASS
Common
Core Math
Standards
exponential function. Find the equations to represent the data.
67
HA1-441
Applications of Functions and Relations
Involving Distance, Rate, and Time
HA1-380
68
HA1-442
Interpreting Graphs of Functions in
Real-Life Situations
HA1-385
69
HA1-950
Graphing Absolute Value Functions
HA1-436
70
HA1-955
Analyzing Linear Functions
71
HA1-960
72
Real-World Applications of Linear
Functions
Unit 6 Test
HA1-030,
HA1-398
HA1-398,
HA1-401
73
Unit 7 Placement Test
Describe contextual situations using the graph of a linear function relating distance to time.
Define the independent and dependent variables. Model application problems of speed
as a function of time.
Describe the graphs of functions as increasing, decreasing, or constant. Analyze the
graph of a function in a contextual situation (profit of a company over x number of years,
the cost of a graphing calculator over x number of months) and determine where on the
graph the function is increasing, decreasing or remains constant.
Simplify an absolute value expression. Given the graph of an absolute value function,
determine the graph of a horizontal or vertical translation.
Review the properties of linear functions and derive linear functions using the slopeintercept and point-slope formulas. Derive parallel and perpendicular lines to a given line.
Use a linear function that best models a situation in a word problem. Given data in the
form of a table of values, find the rate of change for the given information.
2.2c(III), PS
3.1, PS 4.3
F.IF.4
2.2b,
2.2c(III)
F.IF.4
2.2b
F.LE.1
2.2c(II)
F.LE.1
2.2c(III), PS
3.1
F.LE.1
Use models to define complementary and supplementary angles. Find the measure of
unknown angles using algebraic equations. Find the measure of angles written as
polynomials using the properties of complementary and supplementary angles.
Find the perimeter or area of a geometric figure in which the dimensions are given as
algebraic expressions. Find the area of the shaded portion of a geometric figure. Given a
geometric figure whose dimensions are algebraic expressions in one variable, find an
appropriate domain for the variable.
Use models to derive formulas to find the volume or surface area of geometric solids, such
as, spheres, prisms, cylinders, pyramids and cones where the dimensions are given in
algebraic expressions. Find the volume or surface area of a complex figure in a word
problem made up of two geometric solids.
Solve a system of two linear equations by graphing, then estimate the point of intersection.
Decide if a system is consistent, inconsistent, dependent, and/or independent.
Given a point (x,y) decide if the point is the solution to a system of linear equations. Solve
a system of two linear equations using the substitution method. Solve a system of linear
equations that have no solution or infinitely many solutions.
Solve a system of two linear equations by the addition/subtraction method and find the
point of intersection. (Equations may be in slope intercept or standard form)
Solve a system of linear equations by the multiplication/addition/subtraction methods and
find the point of intersection. Solve systems of linear equations using the same methods
where the system had no solution or infinitely many solutions.
GRAPHING CALCULATOR EXPLORATION: Review basic steps in using the TI-83 Plus
Graphing Calculator. Solve a system of two linear equations and find the point of
intersection using a graphing calculator. Solve a system of linear equations where the
system has no solution or infinitely many solutions.
Find the square root of perfect squares. Identify the square root of a negative number as
not a real number. Use the Product rule for Radicals to simplify the square root of a
number that is not a perfect square. Use the Quotient rule for Radicals to simplify the
square root of a quotient where the numerator and denominator are perfect squares.
Simplify the square root of a monomial whose coefficient is a perfect square and all
exponents are even. Simplify the square root of a monomial with rational coefficients and
1.1c, PS
4.2, PS 4.4
UNIT 7
74
HA1-889
Complementary and Supplementary
Angles
75
HA1-890
Using Models to Derive Formulas for
Two-Dimensional Geometric Figures
76
HA1-891
Using Models to Derive Formulas for
Three-Dimensional Solids
HA1-890
77
HA1-455
HA1-380
78
HA1-460
Solving Systems of Linear Equations by
Graphing
Solving Systems of Linear Equations by
the Substitution Method
79
HA1-465
HA1-140
80
HA1-470
Solving Systems of Linear Equations by
the Addition/Subtraction Method
Solving Systems of Linear Equations by
the Multiply/Add/Subtract Method
81
HA1-806
Solving Systems of Linear Equations
Using the Graphing Calculator
HA1-455
82
HA1-480
Finding the Square Roots of Rational
Numbers
83
HA1-490
Simplifying Square Roots
I CAN Learn® Education Systems
HA1-145,
HA1-150
HA1-375
HA1-465
HA1-480
OKLAHOMA
1.1c, PS
4.2, PS 4.4
1.1c, PS
4.2, PS 4.4
2.4
A.REI.6
2.4
A.CED.3
2.4
A.REI.5
2.4
A.REI.5
2.4
A.REI.6
1.2a
1.2a
Algebra I Lesson Order
Lesson
Count
I CAN
Learn®
Lesson #
I CAN Learn® Lesson Title
Prerequisite
Lesson Description
PASS
Common
Core Math
Standards
integer exponents.
84
Unit 7 Test
85
Unit 8 Placement Test
UNIT 8
86
HA1-220
Identifying and Multiplying Monomials
HA1-050,
HA1-860
87
HA1-225
88
HA1-230
Dividing Monomials and Simplifying
Expressions Having an Exponent of Zero
Raising a Monomial or Quotient of
Monomials to a Power
89
HA1-240
90
HA1-245
91
HA1-255
Multiplying Two Binomials Using the
FOIL Method
92
HA1-260
93
HA1-315
Squaring a Binomial and Finding the
Product of a Sum and Difference
Defining Rational Expressions and
Determining the Restricted Values
HA1-055,
HA1-815
HA1-065,
HA1-225,
HA1-860
HA1-075,
HA1-220,
HA1-225
HA1-040,
HA1-045,
HA1-240
HA1-240,
HA1-245,
HA1-920
HA1-230,
HA1-255
HA1-115,
HA1-125,
HA1-305
94
HA1-320
Identifying the Degree of Polynomials
and Simplifying by Combining Like
Terms
Adding and Subtracting Polynomials
Simplifying Rational Expressions
95
Unit 8 Test
96
Unit 9 Placement Test
HA1-220,
HA1-275,
HA1-290
Review the rules of exponents. Identify monomials given an algebraic term. Multiply
monomials. Given a Geometric Model find the area or volume where the dimensions of
the figure are monomials.
Divide monomials. Raise a monomial to the zero power. Simplify monomials having
negative integer exponents.
Raise monomials and quotients of monomials to a power. Define the power of a product
then simplify expressions involving exponents.
1.2b, PS 4.4
A.APR.1
1.2b
A.APR.1
1.2b
A.APR.1
Define polynomials, binomials, and trinomials. Identify the degree of a polynomial.
Arrange the terms of a polynomial in descending order of degree. Simplify a polynomial
by combining like terms then write in descending order of degree.
Define rules for adding or subtracting polynomials. Use polynomial operations to solve
word problems.
1.2b
A.APR.1
1.2b
A.APR.1
Define and use the FOIL method for multiplying binomials. Multiply binomials to solve a
word problem.
1.2b
A.APR.1
Find the square of a binomial using the FOIL method. Identify patterns for squaring
binomials.
Identify an expression that is a rational expression. Show why a denominator of zero is
undefined. Determine the restricted values of the variable that will make the denominator
zero if the denominator is already in factored form. Factor the denominator and use the
Zero Factor Theorem to find the value(s) of the variable that will make the denominator
zero.
Use the properties of exponents to simplify rational expressions. Factor the numerator and
denominator of a rational expression then simplify.
1.2b
A.APR.1
Factor the Greatest Common Factor from a polynomial. Check answers by multiplying
which is the opposite of factoring.
1.2c
A.SSE.1a
Find the trinomial and its factors that is represented by a model using algebra tiles. Create
a tile design using algebra tiles that represents a factored trinomial of the form x² + bx + c
and from the representation, find the factors. Create a tile design for a trinomial of the
form ax²—c² and find the factors. Create a tile design using algebra tiles that represents a
factored trinomial of the form ax² + bx + c and from the representation, find the factors.
Identify a binomial as the difference of two squares and factor. Use patterns to recognize
that a trinomial of the form a² + 2ab + b² is a perfect square trinomial that factors to (a +
b)² or a² – 2ab + b² is a perfect square trinomial that factors to (a – b)². Factor a perfect
square trinomial where the coefficient of the x² term is 1, or greater than 1. Factor the
difference of two squares or a perfect square trinomial with more than one variable. Use a
1.2c
A.SSE.2, MP.4
1.2c
A.SSE.2
1.2a
1.2a
UNIT 9
97
HA1-270
Factoring the Greatest Common
Monomial Factor from a Polynomial
98
HA1-271
Factoring Trinomials and the
Differences of Squares Using Algebra
Tiles
HA1-220,
HA1-225,
HA1-265
HA1-079,
HA1-255,
HA1-260
99
HA1-275
Factoring the Difference Between Two
Squares and Perfect Trinomial Squares
HA1-260,
HA1-270
I CAN Learn® Education Systems
OKLAHOMA
Algebra I Lesson Order
Lesson
Count
I CAN
Learn®
Lesson #
I CAN Learn® Lesson Title
Prerequisite
Lesson Description
PASS
Common
Core Math
Standards
geometric model to illustrate subtraction of the areas of two squares.
100
HA1-280
Factoring x² + bx + c When c is Greater
Than Zero
HA1-270
Use the reverse FOIL method to factor trinomials with a leading coefficient of 1 and a
constant term greater than 0. Find the dimensions of a simple rectangle by factoring the
area trinomial.
Use the reverse FOIL method to factor trinomials with a leading coefficient of 1 and a
constant term less than 0.
Factor trinomials with a leading coefficient greater than 1. This completes the sequence of
lessons on factoring trinomials.
GRAPHING CALCULATOR EXPLORATION: Review basic steps in using the TI-83 Plus
Graphing Calculator. Factor trinomials on the graphing calculator using a step-by-step
process then use the Trace key to locate the roots of a quadratic equation.
Factor a four term polynomial by grouping the terms and factoring out a GCF. Use the
Commutative and Associative properties to rearrange the terms of a four term polynomial
then factor by grouping.
Factor a polynomial completely by factoring the common term then factor the remaining
trinomial.
1.2c
A.SSE.3
101
HA1-285
HA1-280
102
HA1-290
Factoring x² + bx + c When c is Less
Than Zero
Factoring ax² + bx + c
1.2c
A.SSE.3
1.2c
A.SSE.3
103
HA1-291
Factoring Quadratic Expressions Using
the Graphing Calculator
HA1-290
1.2c
A.SSE.3
104
HA1-295
Factoring by Removing a Common
Factor and Grouping
HA1-270,
HA1-290
1.2c
A.SSE.3
105
HA1-300
Factoring a Polynomial Completely
HA1-295
1.2c
A.SSE.3
106
HA1-305
107
HA1-525
108
HA1-530
Solving Polynomial Equations by
Factoring
Solving Quadratic Equations Involving
Perfect Square Expressions
Solving Quadratic Equations by
Completing the Square
HA1-115,
HA1-300
HA1-480,
HA1-510
HA1-480,
HA1-510
Use the Zero Factor Theorem to solve and check polynomial equations that are either in
factored form or require factoring before solving equations.
Use the Square Root Property for equations to find solutions to a quadratic equation of the
form x² = a where a is any positive real number.
Solve a quadratic equation of the form x² + bx + c = 0 by completing the square. Solve a
quadratic equation of the form ax² + bx + c = 0 by dividing by the coefficient of the x²
term then completing the square to find solutions to the equation.
*2.5b
*2.5b
A.REI.4
HA1-300,
HA1-520,
HA1-525
HA1-530,
HA1-525,
HA1-535
Use the Quadratic Formula to find solutions to quadratic equations with rational and
irrational roots.
*2.5b
A.REI.4
GRAPHING CALCULATOR EXPLORATION: Review basic steps in using the TI-83 Plus
Graphing Calculator. Graph a quadratic equation on a graphing calculator then solve
the equation by viewing the graph and using the Trace key to locate the x-intercepts.
Change a quadratic equation from standard form to calculator-ready format then graph
and solve the equation.
Given an equation, graph, or table, determine whether the function is linear or nonlinear.
Identify and graph y = nx² and y = nx³. In a real-life situation, graph a nonlinear function
from an equation or table of values.
Describe the effect of changes in "a" in the quadratic equation, y=ax² as stretching or
shrinking. Match the graph of a quadratic function of the form y=ax² with its equation
when a is positive. Determine which equations of functions are widest and which are
narrowest by inspection of "a". Match the graphs of quadratic functions with their
corresponding equations.
Describe the effect of changes in "–a" in the quadratic equation, y=–ax² as a reflection
about the x-axis. Given a function in tabular form, describe its reflected image and list the
x- and y- values associated with the new mirror image. Describe the curve of the parabola
as open upwards or open downwards.
Given a parent function in tabular and graphical form, describe a translation up or down
the y-axis. Describe a combined effect of stretching/shrinking followed by a translation on
the parent function y=ax².
*2.5b
A.SSE.3
HA1-280
109
Unit 9 Test
110
111
HA1-535
112
HA1-536
Unit 10 Placement Test
Developing the Quadratic Formula
and Using it to Solve Quadratic
Equations
Solving Quadratic Equations Using the
Graphing Calculator
113
MPA-150
Identifying and Graphing Linear and
Nonlinear Functions
MPA-103,
MPA-142
114
HA1-927
Graphing f(x) = ax² Using Dilations
HA1-380
115
HA1-928
Graphing f(x) = ax² Using Dilations and
Reflections
HA1-927
116
HA1-929
Graphing f(x) = ax² + c Using Dilations,
Reflections, and Vertical Translations
HA1-928
*2.5b
UNIT 10
I CAN Learn® Education Systems
OKLAHOMA
*2.5a
*2.5a
F.BF.3
*2.5a
F.BF.3
*2.5a
F.BF.3
Algebra I Lesson Order
Lesson
Count
I CAN
Learn®
Lesson #
I CAN Learn® Lesson Title
Prerequisite
117
HA1-935
Analyzing Graphs of Quadratic
Functions
HA1-929
118
HA1-940
Applications of Quadratic Equations
HA1-929,
HA1-935
119
HA1-945
HA1-929
120
Real-World Applications of Quadratic
Functions
Unit 10 Test
121
Unit 11 Placement Test
Lesson Description
PASS
Common
Core Math
Standards
Define the vertex, axis of symmetry, and y-intercept. Determine the roots of a quadratic
function given the graph of the function, its line of symmetry, and one x-intercept. Given a
quadratic function, interpret the vertex (h,k).
Find the length and width of a geometric figure given the area as a polynomial. Find the
area of the shaded region of a geometric figure. Find the equation that describes a
functional relationship from a table of values.
Find the maximum or minimum point of a quadratic function in a word problem. Examples
include determining the velocity of a ball, using a cost analysis function.
*2.5a
F.IF.4
*2.5a
A.CED.1
*2.5a
A.CED.1
Interpret data from a table or from a graph. Decide if the data represented in a graph or
a table is misleading. Compare graphical representations of the same data.
Differentiate between qualitative (categorical or nominal) data and quantitative
(numerical) data. Read and interpret frequency tables and organize categorical data in
one-way frequency tables. Interpret categorical data given in a one-way relative
frequency table. Read and interpret two-way frequency tables. Read and interpret twoway relative frequency tables.
Define measures of central tendency. Determine the most appropriate measure of central
tendency for a given situation. Given a set of data with a missing piece of that data, and
the new measure of central tendency, find the unknown quantity, Examples: If Karen's
scores are 70, 81, 90, and 67 what must her next score be to get an average of 80?
Define two types of data as quantitative and categorical. Calculate the mean, median,
mode and range of a set of data in a contextual situation. Explain factors in a data set
that would affect measures of central tendency and determine which measure is most
appropriate for a given situation.
Use a table of values to determine a linear or non-linear function. Define scatterplot, lineof-best-fit, and correlation.
Describe the relationship between two variables as positive correlation, negative
correlation, or no correlation. Given the linear correlation coefficient for a table of
ordered pair data, describe the correlation as strong positive, weak positive, strong
negative, or weak negative. Analyze residuals to assess whether a proposed linear model
fits a set of data points. Estimate a best-fitting line from a scatterplot by calculating slope
and y-intercept. Use technology to find the equation of the best-fitting line from a set of
data and find the linear correlation coefficient. Differentiate between interpolation and
extrapolation and use interpolation to find the equation of the best-fitting line.
Describe and write a sample space as a set of all possible outcomes. Determine the
probability of an event where the outcomes have an equally likely chance of occurring.
Find the number of favorable outcomes out of the total possible outcomes. Define the
complement of an event. Find experimental probability of independent and dependent
events. Find the odds in favor of and the odds against an event occurring.
Calculate the probability of dependent events for a given experiment. Examples include
drawing marbles from a jar. Calculate the probability of mutually exclusive events, such
as, P(A or B) = P(A) + P(B). Find the probability of inclusive events, such as, P(A or B) = P(A)
+ P(B) – P(A and B).
Define exponential functions given certain characteristics. Evaluate exponential functions
at a given point. Graph exponential functions in the form y = ab^x + c and identify the yintercept, domain and range, and the asymptotes.
Identify exponential growth and decay models from the exponential equation. Derive
equations given as a real-life situation and solve exponential growth and decay problems.
3.1a, 3.1b,
PS 3.2
3.1a
S.ID.5
3.1c
S.ID.3
3.1c
S.ID.2
3.2, PS 3.2
S.ID.6
3.1b
S.ID.6, S.ID.9
UNIT 11
122
MPA-840
Interpreting Data
123
HA1-545
Using Frequency Tables
124
HA1-540
Finding the Mean, Median, and Mode
from Data and Frequency Distribution
Tables
HA1-062,
HA1-545
125
HA1-541
Analyzing Data Using the Measures of
Central Tendency and the Range
HA1-540
126
HA1-965
Determining the Best-Fitting Line
HA1-955
127
HA1-605
Interpreting the Correlation Coefficient
of a Linear Fit
HA1-385,
HA1-401,
HA1-965
128
HA1-560
Determining Probability of an Event
and Complementary Event from a
Random Experiment
129
HA1-565
Solving Problems Involving
Independent, Dependent, and
Mutually Exclusive and Inclusive Events
HA1-560
130
HA1-820
Graphing Exponential Functions
HA1-810,
HA1-815
131
HA1-825
Exponential Growth and Decay
HA1-815,
HA1-818
I CAN Learn® Education Systems
OKLAHOMA
3.1c
3.1c
*2.5a
F.IF.8
*2.5a, 1.1d,
PS 4.4
F.LE.1, A.SSE.3
Algebra I Lesson Order
Lesson
Count
I CAN
Learn®
Lesson #
I CAN Learn® Lesson Title
Prerequisite
Lesson Description
PASS
Common
Core Math
Standards
Examples include population growth and decline problems and compound interest
problems.
132
Unit 11 Test
I CAN Learn® Education Systems
OKLAHOMA
Algebra I Lesson Order