Unit
Topic
Assessment(s)
Days
1: Basic Algebra
Improvement Analysis will begin with a Pre-Test on Basic Algebra concepts (prior knowledge); the Exam for Unit 1 will
serve as the Post-Assessment for analysis; GOAL: 80% of students with an 80 or higher and 50% mastery
20-40
Order of Operations; Evaluating Expressions & Formulas
HW: SP 1-1
1-2
Properties of Real Numbers: Commutative, Associative,
Distributive, Identity & Inverse; also combing like terms
HW: SP 1-2
1-2
Solving Linear Equations; Emphasis on using properties of
inverse & identity; introduce Reflexive, Symmetric, Transitive
and Substitution Properties (Geometry link)
HW: selected problems from SP 1-3, P 1-3
1-2
Solving Linear Equations; Emphasis on translating from verbal
expressions/sentences to algebraic expressions and
sentences; Find real-world examples of linear relationships
(target heart rate at beginning of chapter)
HW: SG 1-3 front, riddle worksheets from “Algebra
with Pizzazz ”
1-2
Solving Linear Equations; Emphasis on solving for a specified
variable (literal equation); Link to Chemistry & Physics
formulas
HW: selected problems from SP 1-3, P 1-3, reference
tables from Chemistry & Physics
1-2
Solving Linear Inequalities; using words “at least” and “at
most”, etc.
HW: SG 1-5 back, riddle worksheets from “Algebra with
Pizzazz ”
1-2
Solving Linear Inequalities; introducing set builder notation
and interval notation
HW: selected problems from SP 1-5, P 1-5
1-2
Solving Compound Inequalities; emphasis on writing solution
set
HW: selected problems from SP 1-6, P 1-6
1-2
Evaluating Absolute Value; revisit order of operations;
magnitude of an earthquake example…
HW: SG 1-4 front
(K) Order of Operations
QUIZ 1
QUIZ 2
1-2
(A2)
Solving Absolute Value Equations; review definition of
absolute value; introduce and place emphasis on extraneous
solutions
HW: SP 1-4, P 1-4
1-2
(A2)
Solving Absolute Value Inequalities; emphasize graphing
solution on a number line and writing solution set correctly in
all forms (set builder, interval notation)
HW: selected problems from SG 1-6 back, SP 1-6, P 1-6
1-2
Graphing Linear Equations; slope of a line, slope/y-intercept
form of a line; stating intercepts; link Physics relationships of
velocity; modeling real-world examples (cell phone plans)
HW: teacher created worksheet using JMAP, riddle
worksheets from “Algebra with Pizzazz”; project based
learning/blended learning
1-2
Finding the Slope of a Line; parallel & perpendicular lines
HW: SG 2-3, SP 2-3, P 2-3; project based
learning/blended learning
1-2
Writing the Equation of a Line; parallel & perpendicular lines;
write a line of best fit (without calculator regression)
HW: SG 2-4, SP 2-4, P 2-4, SG 2-5, SP 2-5, P 2-5
1-2
Graphing Linear Inequalities
HW: SP 2-7, P 2-7
1-2
Solving Systems of Linear Equations GRAPHICALLY; BreakEven
HW: SP 3-1, P 3-1
1-2
Solving Systems of Linear Inequalities GRAPHICALLY
HW: SP 3-3, P 3-3
1-2
Solving Systems of Linear Equations by SUBSTITUTION
HW: selected problems from SP 3-2, P 3-2; teacher
created worksheets using JMAP
1-2
Solving Systems of Linear Equations by ELIMINATION
HW: selected problems from SP 3-2, P 3-2; teacher
created worksheets using JMAP
1-2
QUIZ 3
QUIZ 4
QUIZ 5
optional
(*)Solving Systems of Linear Equations using MATRICES
(graphing calculator investigation)
HW: SG 4-8, SP 4-8, P 4-8
Unit 1 Review
Unit 1 EXAM
1-2
Unit 1 Data Analysis, Integrated Algebra Regents DA, Star Math Data & Goals Set
Unit 2: Factoring
Polynomials & Algebraic
Fractions
Students will take a Pre-Test on Factoring Polynomials & Rational Expressions; the Exam for Unit 2 will serve as the
Post-Assessment for analysis; GOAL: 80% of students with an 80 or higher and 50% mastery
Monomials: Definition, Operations, (A2) Negative Exponents,
Basic Exponent Rules
(K) Exponents, Order of Operations
HW: selected problems from SG 5-1, SP 5-1, P 5-1,
worksheets from “Algebra with Pizzazz”, teacher
created worksheets using JMAP if necessary
Scientific Notation: Emphasis on simplifying, using calculator
to interpret scientific notation and linking usage to Chemistry,
Physics, other sciences
HW: selected problems from SG 5-1, SP 5-1, P 5-1,
worksheets/activities created using science content
(K) Numerical Fractions: Simplifying (Reducing), Adding,
Subtracting, Multiplying, Dividing without calculator;
LCM/LCD, GCF
HW: selected problems from elementary textbooks!!!
Polynomials: Degree, Adding/Subtracting/Multiplying
HW: SG 5-2, SP 5-2, P 5-2, teacher created worksheets
using JMAP with subtraction & fractions
QUIZ 1
(A2)
(A2)
(K) Factoring Polynomials: Using GCF
HW: selected problems from SG 5-4, SP 5-4, P 5-4,
worksheets from “Algebra with Pizzazz”, teacher
created worksheets using JMAP when necessary
(K) Factoring Polynomials: Grouping
HW: selected problems from SG 5-4, SP 5-4, P 5-4,
worksheets from “Algebra with Pizzazz”, teacher
created worksheets using JMAP when necessary
(K) Factoring Polynomials: Factoring Trinomials by “Splitting
the Middle” (grouping) when a = 1
HW: selected problems from SG 5-4, SP 5-4, P 5-4,
worksheets from “Algebra with Pizzazz”, teacher
created worksheets using JMAP when necessary
(K) Factoring Polynomials: Factoring Trinomials by “Splitting
HW: selected problems from SG 5-4, SP 5-4, P 5-4,
worksheets from “Algebra with Pizzazz”, teacher
17-30
the Middle” (grouping) when 𝑎 ≠ 1
created worksheets using JMAP when necessary
(K) Factoring Polynomials: Factoring the Difference of
Perfect Squares; emphasis on recognizing; usage of word
CONJUGATE
HW: selected problems from SG 5-4, SP 5-4, P 5-4,
worksheets from “Algebra with Pizzazz”, teacher
created worksheets using JMAP when necessary
(K) Factoring Polynomials: Factoring Perfect Square
Trinomials; emphasis on recognizing
HW: selected problems from SG 5-4, SP 5-4, P 5-4,
worksheets from “Algebra with Pizzazz”, teacher
created worksheets using JMAP when necessary
(K) Factoring Polynomials: (A2) Factor Completely
HW: selected problems from SG 5-4, SP 5-4, P 5-4,
worksheets from “Algebra with Pizzazz”, teacher
created worksheets using JMAP when necessary
QUIZ 2-must demonstrate mastery before moving on
(A2)
Simplifying Algebraic Fractions (Rational Expressions); Finding
Undefined Values
HW: selected problems from SP 5-4, P 5-4, worksheets
from “Algebra with Pizzazz”, teacher created
worksheets using JMAP when necessary
(A2)
Multiplying & Dividing Algebraic Fractions
HW: selected problems from SG 9-1, SP 9-1, P 9-1
(A2)
Adding & Subtracting Algebraic Fractions
HW: SG 9-2, SP 9-2, P 9-2
(A2)
Simplifying Complex Fractions
HW: SG 9-2, SP 9-2, P 9-2, teacher created worksheets
using JMAP
(A2)
Solving Rational Equations
HW: selected problems from SG 9-6, SP 9-6, P 9-6
(A2)
Direct vs. Inverse Variation; Determining which is which;
linking to Chemistry and Physics; graphing inverse variation
HW: SG 9-4, SP 9-4, P 9-4
Unit 2 Review
Unit 2 Exam
Unit 2 Data Analysis, Integrated Algebra Regents DA, Star Math Data & Goals Set
Unit 3: Exponents, Roots &
Radicals
Students will take a Pre-Test on Exponents, Roots & Radicals ; the Exam for Unit 3 will serve as the Post-Assessment for
analysis; GOAL: 80% of students with an 80 or higher and 50% mastery
(K) Exponent Rules; Emphasis on Negative Exponent
5-1
(A2)
(K) Square Roots-Perfect and Non-Perfect; Simplifying with
Variables
5-6
(A2)
(K) Operations with Square Roots (Adding, Subtracting)
5-6
(A2)
(K) Operations with Square Roots (Multiplying)
5-6
(A2)
(K) Operations with Square Roots (Dividing); Rationalizing
the Denominator by Multiplying by the Conjugate
5-6
(A2)
Cube Roots, Fourth Roots, etc. with and without variables
5-6
(A2)
Rational Exponents
5-7
(A2)
Solving Radical Equations
5-8
11-20
QUIZ 1 Students must demonstrate mastery before
moving on.
QUIZ 2
(A2)
The Imaginary Number I; The Number System
5-9
(A2)
Simplifying the Power of i
5-9
(A2)
Operations with Complex Numbers (Adding, Subtracting,
Multiplying, Dividing/Conjugate)
5-9
Unit 3 Review
Unit 3 Exam
(A2)
QUIZ 3
Unit 3 Data Analysis, Integrated Algebra Regents DA, Star Math Data & Goals Set
Unit 4: Functions
Students will take a Pre-Test on Functions ; the Exam for Unit 4 will serve as the Post-Assessment for analysis; GOAL:
80% of students with an 80 or higher and 50% mastery
7-10
Definition of a Function; Vertical Line Test
2-1
(A2)
Function Notation, Writing Functions/Expressing
Situations using Function Notation
2-1, “The Wave”
(A2)
Special Functions; Graphing Functions (Linear, Rational,
Square Root, Radical, Cubic, Quadratic, etc)
2-6
(A2)
Transformations of Functions
JMAP
QUIZ 1
(A2)
Domain & Range of a Function
JMAP
(A2)
Composition of Functions
7-7
(A2)
Inverse Functions
7-8
Unit 4 Review
Unit 4 Exam
Unit 4 Data Analysis, Integrated Algebra Regents DA, Star Math Data & Goals Set
Unit 5: Quadratic &
Polynomial Functions
Students will take a Pre-Test on Quadratic & Polynomial Functions ; the Exam for Unit 5 will serve as the PostAssessment for analysis; GOAL: 80% of students with an 80 or higher and 50% mastery
Graphing a Quadratic Function; Characteristics of Graphvertex, axis of symmetry, y-intercept
6-1
Finding Roots of Quadratic by Graphing
6-2
Finding Roots of a Quadratic by Factoring
6-3
(A2)
Finding Roots of a Quadratic by Completing the Square
6-4
(A2)
Deriving the Quadratic Formula by Completing the Square
(A2)
Finding Roots of a Quadratic by Quadratic Formula
6-5
QUIZ 1
19-30
(A2)
Analyzing the Roots of a Quadratic using the Discriminant
6-5
QUIZ 2
(A2)
Writing Equations of Quadratics; using translations of the
Parent Parabola
6-6
(A2)
Writing Equations of Quadratics; using the sum & product
of roots
JMAP
(A2)
Solving Quadratic Inequalities (using number line)-one
variable
6-7
(A2)
Solving Quadratic Inequalities (by graphing)-two variables
6-7
QUIZ 3
(Geometry)
Solving Quadratic-Linear Systems Graphically; with
parabolas
JMAP
(A2)
Solving Quadratic-Linear Systems-Algebraically; with
parabolas
JMAP
(Geometry)
Equation of a Circle
8-3
(Geometry)
Midpoint & Distance Formulas
Geometry CD
(A2)
Equation of a Circle-Completing the Square
8-3
(A2)
Solving Quadratic-Linear Systems-Algebraically &
Graphically with Circles
JMAP
(A2)
Polynomial Functions; Finding Roots by Graphing
7-1
(A2)
Solving Polynomial (Factoring by Grouping, Substitution)
7-2
QUIZ 4
QUIZ 5
QUIZ 6
Unit 5 Review
Unit 5 Exam
Unit 5 Data Analysis, Integrated Algebra Regents DA, Star Math Data & Goals Set
Unit 6: Exponential &
Logarithmic Functions
Students will take a Pre-Test on Exponential & Logarithmic Functions ; the Exam for Unit 6 will serve as the PostAssessment for analysis; GOAL: 80% of students with an 80 or higher and 50% mastery
Graphing Exponential Growth & Decay
10-1, JMAP
Word Problems with Exponential Growth & Decay
(Memorize Formulas)
10-1, JMAP
(A2)
Finding Values of Exponential Equations; Emphasis on
Structure of Exponential Equation; Writing Exponential
Functions
JMAP
(A2)
Graph Logarithmic Function using Inverse Functions;
Converting from Exponential to Logarithmic;
Transformations of Exponential/Logarithmic Functions
10-1, 10-2, JMAP
(A2)
Use Inverses to Derive Logarithmic Form; Converting from
Exponential to Logarithmic;
10-2
(A2)
The Natural Number and Natural Logarithm, Common
Logarithm
10-4, 10-5
(A2)
Solving Logarithmic Equations (basic)
10-2
QUIZ 1
(A2)
Properties of Logarithms-Product, Quotient, Power;
Emphasis on Recognizing
Algebra with Pizzazz, SG 10-3
(A2)
Properties of Logarithms; “Splitting”
JMAP
(A2)
Properties of Logarithms; “Undo Laws”
JMAP
(A2)
Solving Logarithmic Equations using Properties
10-3, Algebra with Pizzazz
14-20
QUIZ 2
(A2)
Solving Exponential Equations-SAME bases
10-1
(A2)
Solving Exponential Equations-using Logarithms
JMAP
(A2)
Solving Exponential Equations-word problems
JMAP
Unit 6 Review
Unit 6 Exam
Unit 6 Data Analysis, Integrated Algebra Regents DA, Star Math Data & Goals Set
Unit 7: Regression Models
& Analysis
Students will take a Pre-Test on Regression Models & Analysis; the Exam for Unit 7 will serve as the Post-Assessment
for analysis; GOAL: 80% of students with an 80 or higher and 50% mastery
(A2)
What is a Regression Model? Emphasis on Correlation
Coefficient, Different Models, Scatter Plots
Activities/Labs
(A2)
Linear Regression
JMAP
*
Quadratic Regression
JMAP, teacher created
(A2)
Power Regression
JMAP
(A2)
Exponential Regression
JMAP
(A2)
Logarithmic Regression
JMAP
Unit 7 Review
Unit 7 Exam
Unit 7 Data Analysis, Integrated Algebra Regents DA, Star Math Data & Goals Set
IF TIME PERMITS
Unit 8: Statistics &
Probability
Students will take a Pre-Test on Statistics & Probability; the Exam for Unit 8 will serve as the Post-Assessment for
analysis; GOAL: 80% of students with an 80 or higher and 50% mastery
Unit 8 Data Analysis, Integrated Algebra Regents DA, Star Math Data & Goals Set
7-14