Algebra 1
 Algebra 1: This course follows the New York State curriculum for Integrated Algebra and is designed for the students who achieved at least level 2 proficiency on the New York State Grade 8 test. Topics include the algebraic concepts of writing, solving and graphing linear and quadratic equations, probability and statistics. The final exam is a local departmental exam. |
Please note that the timelines listed below are a guide. Teachers modify their pacing based on student needs in order to ensure concept mastery.
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Unit 1 |
Solving Linear Equations |
Sept - Oct |
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Section |
Concepts |
CC Standards |
Big Ideas Resources |
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1.1 |
Solving Simple Equations |
A.CED.A.1 , A.REI.A.1, A.REI.B.3 |
Pages 03-10 |
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1.2 |
Solving Multi-Step Equations |
N.Q.A.1, A.CED.A.1, A.REI.B.3 |
Pages 11-18 |
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1.3 |
Solving Equations with Variables on Both Sides |
A.CED.A.1, A.REI.B.3 |
Pages 19-24 |
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1.5 |
Rewriting Equations and Formulas |
A.CED.A.4 |
Pages 35-42 |
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Unit 2 |
Solving Linear Inequalities |
October |
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Section |
Concepts |
CC Standards |
Big Ideas Resources |
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2.1 |
Writing and Graphing Inequalities |
A.CED.1,1 |
Pages 53-60 |
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2.2 |
Solving Inequalities Using Addition or Subtraction |
A.CED.A.1A.REI.B.3 |
Pages 61-66 |
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2.3 |
Solving Inequalities Using Multiplication or Division |
A.CED.A,1, A.REI.B.3 |
Pages 67-72 |
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2.4 |
Solving Multi-Step Inequalities |
A.CED.A.1, A.REI.B.3 |
Pages 73-78 |
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Unit 3 |
Graphing Linear Functions |
Oct - Nov |
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Section |
Concepts |
CC Standards |
Big Ideas Resources |
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3.1 |
Functions |
F.IF.A.1 |
Pages 103-110 |
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3.2 |
Linear Functions |
A.CED.A.2 |
Pages 111-120 |
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3.3 |
Function Notation |
A-CED.A.2, F-IF.A.1, F-IF.A.2, F-IF.C.7a, F-IF.C.9 |
Pages 121-126 |
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End of Quarter 1 |
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3.4 |
Graphing Linear Equations in Standard Form |
A.CED.2,A.REI.10,F.IF.4 |
Pages 129-134 |
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3.5 |
Graphing Linear Equations in Slope-Intercept Form |
A.CED.2,A.REI.10,F.IF.4 |
Pages 135-144 |
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3.6 |
Transformations of Graphs of Linear Functions |
F-IF.C.7a, F-BF.B.3 |
Pages 145-155 |
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3.7 |
Graphing Absolute Value Functions |
A-CED.A.2, A-REI.D.10, F-IF.C.7b, F-BF.B.3 |
Pages 155-162 |
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Unit 4 |
Writing Linear Functions |
Nov - Dec |
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Section |
Concepts |
CC Standards |
Big Ideas Resources |
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4.1 |
Writing Equations in Slope-Intercept Form |
A-CED.A.2, F-BF.A.1a,F-LE.A.1b, F-LE.A.2 |
Pages 175-180 |
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4.2 |
Writing Equations in Point-Slope Form |
A-CED.A.2, F-BF.A.1a,F-LE.A.1b, F-LE.A.2 |
Pages 181-186 |
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4.3 |
Writing Equations of Parallel Lines |
A-CED.A.2, F-LE.A.2 |
Pages 188-192 |
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4.4 |
Scatter Plots and Lines of Fit |
F-LE.B.5, S-ID.B.6a,S-ID.B.6c, S-ID.C.7 |
Pages 195-200 |
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4.5 |
Analyzing Lines of Fit |
F-LE.B.5, S-ID.B.6a, S-ID.B.6b, S-ID.B.6c, S-ID.C.7, S-ID.C.8, S-ID.C.9 |
Pages 201-208 |
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4.6 |
Arithmetic Sequences |
F-IF.A.3, F-BF.A.1a, F-BF.A.2, F-LE.A.2 |
Pages 209-216 |
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4.7 |
Piecewise Functions |
A-CED.A.2, A-REI.D.10,F-IF.C.7b |
Pages 217-224 |
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Unit 5 |
Solving Systems of Linear Equations |
Dec - Jan |
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Section |
Concepts |
CC Standards |
Big Ideas Resources |
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5.1 |
Solving Systems of Linear Equations by Graphing |
A-CED.A.3, A-REI.C.6 |
Pages 235-240 |
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5.2 |
Solving Systems of Linear Equations by Substitution |
A-CED.A.3, A-REI.C.6 |
Pages 241-246 |
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5.3 |
Solving Systems of Linear Equations by Elimination |
A-CED.A.3, A-REI.C.5, A-REI.C.6 |
Pages 247-252 |
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5.4 |
Solving Special Systems of Linear Equations |
A-CED.A.3, A-REI.C.6 |
Pages 253-258 |
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5.5 |
Solving Equations by Graphing |
A-CED.A.3, A-REI.D.11 |
Pages 261-266 |
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5.6 |
Graphing Linear Inequalities in Two Variables |
A-CED.A.3, A-REI.D.12 |
Pages 267-272 |
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5.7 |
Systems of Linear Inequalities |
A-CED.A.3, A-REI.D.12 |
Pages 273-280 |
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Unit 6 |
Exponential Functions & Sequences |
Jan - Feb |
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Section |
Concepts |
CC Standards |
Big Ideas Resources |
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6.1 |
Properties of Exponents |
N-RN.A.2 |
Pages 291-298 |
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6.3 |
Exponential Functions |
A-CED.A.2, F-IF.B.4,F,IF.C.7e, F-IF.C.9,F-BF.A.1a,F-BF.B.3,F-LE.A.1a,F-LE.A.2 |
Pages 305-312 |
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6.4 |
Exponential Growth and Decay |
A-SSE.B.3c, A-CED.A.2,F-IF.C.7e, F-IF.C.8b,F-BF.A.1a,F-LE.A.1c,F-LE.A.2 |
Pages 313-322 |
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6.5 |
Solving Exponential Equations |
A-CED.A.1, A-REI.A.1,A-REI.D.11 |
Pages 325-330 |
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6.6 |
Geometric Sequences |
F-IF.A.3, F-BF.A.2,F-LE.A.2 |
Pages 331-338 |
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6.7 |
Recursively Defined Sequences |
F-IF.A.3, F-BF.A.1a,F-BF.A.2, F-LE.A.2 |
Pages 339-346 |
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End of Quarter 2 |
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Unit 7 |
Polynomial Equations and Factoring |
Feb - Mar |
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Section |
Concepts |
CC Standards |
Big Ideas Resources |
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7.1 |
Adding and Subtracting Polynomials |
A-APR.A.1 |
Pages 357-364 |
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7.2 |
Multiplying Polynomials |
A.APR.1 |
Pages 365-370 |
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7.3 |
Special Products of Polynomials |
A.APR.1 |
Pages 371-376 |
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7.4 |
Solving Polynomials Equations in Factored Form |
A.REI.4b |
Pages 377-382 |
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7.5 |
Factoring x^2 + bx + c |
A.REI.4b,A.SSE.3a |
Pages 385-390 |
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7.6 |
Factoring ax^2 bx + c |
A.REI.4b,A.SSE.3a |
Pages 391-396 |
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7.7 |
Factoring Special Products |
A.REI.4b,A.SSE.2,3a |
Pages 397-402 |
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7.8 |
Factoring Polynomials Completely |
A-SSE.A.2, A-SSE.B.3a |
Pages 403-408 |
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Unit 8 |
Graphing Quadratic Functions |
Mar - Apr |
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Section |
Concepts |
CC Standards |
Big Ideas Resources |
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8.1 |
Graphing f(x) = ax^2 |
A-CED.A.2, F-IF.C.7a, F-BF.B.3 |
Pages 419-424 |
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8.2 |
Graphing f(x) = ax^2 + c |
A-CED.A.2, F-IF.C.7a, F-BF.B.3 |
Pages 425-430 |
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8.3 |
Graphing f(x) = ax^2 +bx + c |
A-CED.A.2, F-IF.C.7a, F-IF.C.9 |
Pages 431-438 |
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End of Quarter 3 |
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8.4 |
Graphing f(x) = a(x-h)^2 + k |
A-CED.A.2, F-IF.B.4, F-BF.A.1a, F-BF.B.3 |
Pages 441-448 |
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8.6 |
Comparing Linear, Exponential, and Quadratic Functions |
F-IF.B.6, F-BF.A.1a, F-LE.A.3 |
Pages 459-468 |
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Unit 9 |
Solving Quadratic Equations |
Apr - May |
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Section |
Concepts |
CC Standards |
Big Ideas Resources |
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9.1 |
Properties of Radicals |
N-RN.A.2,N-RN.B.3 |
Pages 479-488 |
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9.2 |
Solving Quadratic Equations by Graphing |
A.REI.4b, A.REI.11 |
Pages 489-496 |
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9.3 |
Solving Quadratic Equations Using Square Roots |
A.REI.4b, A.REI.11 |
Pages 497-502 |
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9.4 |
Solving Quadratic Equations by Completing the Square |
A.REI.4a,4b,A.SSE.3b,F.IF.8a |
Pages 505-514 |
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9.5 |
Solving Quadratic Equations Using the Quadratic Formula |
A.REI.4a,4b |
Pages 515-524 |
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9.6 |
Solving Nonlinear Systems of Equations |
A-REI.C.7, A-REI.D.11 |
Pages 525-532 |
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Unit 10 |
Graphing Quadratic Functions |
Apr - May |
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Section |
Concepts |
CC Standards |
Big Ideas Resources |
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10.1 |
Graphing Square Root Functions |
A-CED.A.2, F-IF.B.4,F-IF.B.6, F-IF.C.7b, F-IF.C.9 |
Pages 543-550 |
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Unit 11 |
Data Analysis and Displays |
May - June |
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Section |
Concepts |
CC Standards |
Big Ideas Resources |
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11.1 |
Measures of Center and Variation |
S.ID.2,3 |
Pages 585-592 |
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11.2 |
Box-and-Whisker Plots |
S.ID.2,3 |
Pages 593-598 |
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11.5 |
Choosing a Data Display |
S.ID.1 |
Pages 617-622 |