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Core Beliefs
The Mathematics Department believes that every student is entitled to and deserves an excellent program of instruction in the content area that encourages each student to achieve at a high level. We believe that students become confident “doers” of mathematics when they are engaged in high level cognitive demanding tasks. We believe that by asking students purposeful and demanding questions, we are assessing and advancing their learning without taking away the process of thinking from them. Ultimately, the goal of our department is to prepare all children for college and career readiness.
Philosophy
Mathematics can be personified as a progression of investigations which ultimately advances students’ development of sound mathematical concepts and ideas. As students build on their content knowledge, we encourage the following practices to be linked to their learning: making sense of problems and persevering in solving them, reasoning abstractly and quantitatively, constructing viable arguments or critiquing the reasoning of others, modeling with mathematics, using appropriate tools strategically, attending to precision, looking for and making use of structure and repeated reasoning. The department has embraced and implemented a ConceptualBased Model, which allows students time to explore mathematical concepts to promote academic rigor and maintain a high level of student discourse to concurrently develop conceptual understanding, procedural fluency, and problem solving skills.
Rollout of IFL Sets of Related Lessons with District Pacing Guide
Kindergarten 
Unit 
CCSSM 
IFL Set of Related Lessons 
1 
K.CC.A.l,K.CC.A.2,
K.CC.B.4a,b,c 
Counting and Cardinality:A Focus on Knowing Number
Names and the Counting Sequence 
2 
K.OA.A.l,K.OA.A.2 
Addition·Situations:Solving for the Sum 
Grade l 
Unit 
CCSSM 
IFL Set of Related Lessons 
1 
l.OA.A.l,l.OA.A.2, l.OA.B.3,1.0A.B.4 
"Adding to" SituationalTasks:Solving for Unknowns in
All Positions 
2 
l.OA.A.l,1.0A.B.4,
1.0A.C.6,l.OA.D.7 
The Relationship Between Addition and Subtraction 
Grade 2 
Unit 
CCSSM 
IFL Set of Related Lessons 
1 
2A.OA.A.1,2.NBT.B.7 
Put Together and Compare Situational Tasks: Missing
Addend Addition as Subtraction 
2 
2.NBT.B.7, 2.OA.A.1, 2.NBT.B.6 
Addition: Flexible Thinking and ProblemSolving Strategies 
3 
2.MD.B.5, 2.OA.A.1, 2.NBT.B.7 
Compare Situations: Contexts, Models, and Strategies as they Relate to Subtraction and Missing Addend Addition 
Grade 3 
Unit 
CCSSM 
IFL Set of Related Lessons 
1 
3.MD.C.5a,b, 3.MD.C.6, 3.MD.C.7,7a,b 
Measurement: Solving for Area of Figures 
2 
3.OA.A.1, 3.OA.B.5 
Comparing Two Properties: The Associative and Distributive Properties of Multiplication 
3 
3.NF.A.l,3.NF.A.2a,b,
3.NF.A.3a,b,c,d 
Understanding Fractions as Numbers 
Grade 4 
Unit 
CCSSM 
IFL Set of Related Lessons 
1 
4.0A.A.1,4.0A.A.2 
Multiplication:Exploration of Multiplicative Comparisons and the Link to Division 
2 & 3 
4.NF.A.2, 4.NF.B.3a,b,d, 4.NF.B.4, 4a,b,c 
Building NonUnit Fractions 
3 
4.NF.C.5,4.NF.C.6,
4.NF.C.7 
Fractions and Decimals: Writing and Comparing Decimal
Numbers 
Grade 5 
Unit 
CCSSM 
IFL Set of Related Lessons 
1 
S.NBT.B.S,S.NBT.B.7 
Decimal Operations:Multiplication and Division 
3 
S.NF.B.4a,b,S.NF.B.Sb,
S.NF.B.6 
Multiplication with Fractions:Finding Portions of
Numbers 
3 
5.NF.B.7a,b,c 
Dividing Fractions:Understanding Division with Numbers
Less Than 1 
Grade 6 
Unit 
CCSSM 
IFL Set of Related Lessons 
1 
6.RP.1, 2, 3 
Ratios and Proportional Relationships 
2 
6.EE.A.3, 6.EE.A.4 
Equivalent Expressions 
3 
6.NS.C.5, 6.NS.C.6a,c, 6.NS.C.7a,c 
Locating, Ordering and Finding Distance Between Positive and Negative Numbers 
3 
6.EE.B.5, 6.EE.B.6, 6.EE.B.7, 6.EE.B.8 
Solving OneVariable Equations and Inequalities 
Grade 7 
Unit 
CCSSM 
1FL Set of Related Lessons 
1 
7.NS.A.la,b,c,d,7.NS.A.3 
Adding and Subtracting Positive and Negative Rational
Numbers 
2 
7.EE.B.4a,b 
Investigating Inequalities 
2 
7.RP.A.1, 7.RP.A.2a,b,c 
ProportionaI Relationships 
Grade 8 
Unit 
CCSSM 
IFL Set of Related Lessons 
2 
8.EE.C.7,8.EE.C.7a,b 
Equations and Linear Functions:Solving Linear Equations
in One Variable 
2 
8.EE.C.8a,b 
Understanding and Solving Systems of Linear Equations 
3 
8.G.A.1, 8.G.A.1a,b,c, 8.G.A.2, 8.G.A.4 
Understanding Congruence and Similarity 
Algebra I 
Unit 
CCSSM 
IFL Set of Related Lessons 
2 
A.CED.A.2,F.IF.B.4, F.IF.B.S,F.IF.B.6 
Creating and Interpreting Functions 
2 
F.LE.A.1, F.LE.A.2, F.LE.B.5 
Solving Problems Using Linear and Exponential Models 
3 
A.CED.A.2, A.REI.B.4, A.REI.B.4b, A.REI.D.10, F.IF.B.4 
Developing an Understanding of Quadratics 
Algebra II 
Unit 
CCSSM 
IFL Set of Related Lessons 
1 
N.RN.A.1, N.RN.A.2 
Investigating Rational Exponents 
3 
A.APR.B.3, F.BF.A.1B 
Building Polynomial Functions 
Geometry 
Unit 
CCSSM 
IFL Set of Related Lessons 
1 
G.CO.B.6, G.CO.B.7, G.CO.B.8 
Investigating Congruence In Terms of Rigid Motion 
3 
G.GPE.B.4, G.GPE.B.5, G.GPE.B.6, G.GPE.B.7 
Investigating Coordinate Geometry and Its Use in Solving Mathematical Problems 
Mathematics SchoolBased Supervisors
Janice Basilicato
Supervisor of Mathematics
(Schools: 5, 8, 26, 28)
jbasilicato@paterson.k12.nj.us
Elizabeth Caccavella
Supervisor of Mathematics
(Schools: 2, 3, 20, MLK)
ecaccavella@paterson.k12.nj.us
Olga Castellanos
Supervisor of Mathematics
(Schools: 6/SFRL, Newcomers/11, Don Bosco, NRC)
ocastellanos@paterson.k12.nj.us
Rosemarie Chromey
Supervisor of Mathematics
(Schools: 13, 15, 25)
rchromey@paterson.k12.nj.us
Brian Rawlins
Supervisor of Mathematics
(Schools: 10, 18, 21)
brawlins@paterson.k12.nj.us

Diana Slopey
Supervisor of Mathematics
(Schools: 4/Dr. Frank Napier, 12, 24)
dslopey@paterson.k12.nj.us
Pamela GaryMaple
Supervisor of Mathematics
(Schools: Rosa Parks H.S., EHS/SOIT)
pgarymaple@paterson.k12.nj.us
Dr. Robert Salviano
Supervisor of Mathematics
(Schools: JFK/STEM, JFK/ACT, JFK/BTMF, JFK/SET)
salvianor2@paterson.k12.nj.us
Dr. David Rust
Supervisor of Mathematics
(Schools: GFA, HARP, PANTHER, Silk City, STARS)
drust@paterson.k12.nj.us
Morteza Taherisefat
Supervisor of Mathematics
(Schools: EHS/GOPA, EHS/CAHTS, GMA, International)
mtaherisefat@paterson.k12.nj.us


