Algebra 8
Algebra 8: This is a challenging and fast paced program. Students will study the Common Core Algebra curriculum and will take the Algebra Regents in June. Students who successfully complete this course will receive on high school credit. 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.
Unit 1 |
Solving Linear Equations |
September |
|
Section |
Concepts |
CC Standards |
Big Ideas Resources |
1.1 |
Solving Simple Equations |
A.CED.A.1 , A.REI.A.1, A.REI.B.3 |
Pages 03-10 |
1.2 |
Solving Multi-Step Equations |
N.Q.A.1, A.CED.A.1, A.REI.B.3 |
Pages 11-18 |
1.3 |
Solving Equations with Variables on Both Sides |
A.CED.A.1, A.REI.B.3 |
Pages 19-24 |
1.4 |
Solving Absolute Value Equations |
A.CED.A.1, A.REI.B.3 |
Pages 27-34 |
1.5 |
Rewriting Equations and Formulas |
A.CED.A.4 |
Pages 35-42 |
Unit 2 |
Solving Linear Inequalities |
Sept - Oct |
|
Section |
Concepts |
CC Standards |
Big Ideas Resources |
2.1 |
Writing and Graphing Inequalities |
A.CED.1,3 |
Pages 53-60 |
2.2 |
Solving Inequalities Using Addition or Subtraction |
A.CED.1,3,A.REI.3 |
Pages 61-66 |
2.3 |
Solving Inequalities Using Multiplication or Division |
A.CED.1,3,A.REI.3 |
Pages 67-72 |
2.4 |
Solving Multi-Step Inequalities |
A.CED.1,3,A.REI.3 |
Pages 73-78 |
2.5 |
Solving Compound Inequalities |
A.CED.A.1, A.REI.B3 |
Pages 81-86 |
2.6 |
Solving Absolute Value Inequalities |
A.CED.A.1, A.REI.B3 |
Pages 87-92 |
Unit 3 |
Graphing Linear Functions |
Oct - Nov |
|
Section |
Concepts |
CC Standards |
Big Ideas Resources |
3.1 |
Functions |
F.IF.A.1 |
Pages 103-110 |
3.2 |
Linear Functions |
A.CED.A.2 |
Pages 111-120 |
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 |
3.4 |
Graphing Linear Equations in Standard Form |
A.CED.2,A.REI.10,F.IF.4 |
Pages 129-134 |
3.5 |
Graphing Linear Equations in Slope-Intercept Form |
A.CED.2,A.REI.10,F.IF.4 |
Pages 135-144 |
3.6 |
Transformations of Graphs of Linear Functions |
F-IF.C.7a, F-BF.B.3 |
Pages 145-155 |
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 |
End of Quarter 1 |
|||
Unit 4 |
Writing Linear Functions |
Nov - Dec |
|
Section |
Concepts |
CC Standards |
Big Ideas Resources |
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 |
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 |
4.3 |
Writing Equations of Parallel & Perpendicular Lines |
A-CED.A.2, F-LE.A.2 |
Pages 188-192 |
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 |
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 |
4.6 |
Arithmetic Sequences |
F.BF.2,F.IF.3,F.L.2 |
Pages 209-216 |
4.7 |
Piecewise Functions |
A-CED.A.2, A-REI.D.10, F-IF.C.7b |
Pages 217-224 |
Unit 5 |
Solving Systems of Linear Equations |
Dec - Jan |
|
Section |
Concepts |
CC Standards |
Big Ideas Resources |
5.1 |
Solving Systems of Linear Equations by Graphing |
A-CED.A.3, A-REI.C.6 |
Pages 235-240 |
5.2 |
Solving Systems of Linear Equations by Substitution |
A-CED.A.3, A-REI.C.6 |
Pages 241-246 |
5.3 |
Solving Systems of Linear Equations by Elimination |
A-CED.A.3, A-REI.C.5, A-REI.C.6 |
Pages 247-252 |
5.4 |
Solving Special Systems of Linear Equations |
A-CED.A.3, A-REI.C.6 |
Pages 253-258 |
5.5 |
Solving Equations by Graphing |
A-CED.A.3, A-REI.D.11 |
Pages 261-266 |
5.6 |
Graphing Linear Inequalities in Two Variables |
A-CED.A.3, A-REI.D.12 |
Pages 267-272 |
5.7 |
Systems of Linear Inequalities |
A-CED.A.3, A-REI.D.12 |
Pages 273-280 |
Unit 6 |
Exponential Functions & Sequences |
Jan - Feb |
|
Section |
Concepts |
CC Standards |
Big Ideas Resources |
6.1 |
Properties of Exponents |
N-RN.A.2 |
Pages 291-298 |
6.2 |
Radical and Rational Exponents |
N-RN.A.1, N-RN.A.2 |
Pages 299-304 |
6.3 |
Exponential Functions |
A.REI.3,11,F.BF.3,F.IF7e,F.LE1a,2 |
Pages 305-312 |
6.4 |
Exponential Growth and Decay |
A.SSE.1a,1b,F.IF.7e |
Pages 313-322 |
End of Quarter 2 |
|||
6.5 |
Solving Exponential Equations |
A-CED.A.1, A-REI.A.1, A-REI.D.11 |
Pages 325-330 |
6.6 |
Geometric Sequences |
F.BF.2,F.IF.3,F.LE.2 |
Pages 331-338 |
6.7 |
Recursively Defined Sequences |
F-IF.A.3, F-BF.A.1a, F-BF.A.2, F-LE.A.2 |
Pages 339-346 |
Unit 7 |
Polynomial Equations and Factoring |
Feb - Mar |
|
Section |
Concepts |
CC Standards |
Big Ideas Resources |
7.1 |
Adding and Subtracting Polynomials |
A-APR.A.1 |
Pages 357-364 |
7.2 |
Multiplying Polynomials |
A.APR.1 |
Pages 365-370 |
7.3 |
Special Products of Polynomials |
A.APR.1 |
Pages 371-376 |
7.4 |
Solving Polynomials Equations in Factored Form |
A.REI.4b |
Pages 377-382 |
7.5 |
Factoring x^2 + bx + c |
A.REI.4b,A.SSE.3a |
Pages 385-390 |
7.6 |
Factoring ax^2 bx + c |
A.REI.4b,A.SSE.3a |
Pages 391-396 |
7.7 |
Factoring Special Products |
A.REI.4b,A.SSE.2,3a |
Pages 397-402 |
7.8 |
Factoring Polynomials Completely |
A-SSE.A.2, A-SSE.B.3a |
Pages 403-408 |
Unit 8 |
Graphing Quadratic Functions |
Mar - Apr |
|
Section |
Concepts |
CC Standards |
Big Ideas Resources |
8.1 |
Graphing f(x) = ax^2 |
A-CED.A.2, F-IF.C.7a, F-BF.B.3 |
Pages 419-424 |
8.2 |
Graphing f(x) = ax^2 + c |
A-CED.A.2, F-IF.C.7a, F-BF.B.3 |
Pages 425-430 |
8.3 |
Graphing f(x) = ax^2 +bx + c |
A-CED.A.2, F-IF.C.7a, F-IF.C.9 |
Pages 431-438 |
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 |
8.5 |
Using Intercept Form |
A-SSE.B.3a, A-APR.B.3, A-CED.A.2, F-IF.B.4, F-IF.C.8a, F-BF.A.1a |
Pages 449-458 |
8.6 |
Comparing Linear, Exponential, and Quadratic Functions |
F-IF.B.6, F-BF.A.1a, F-LE.A.3 |
Pages 459-468 |
End of Quarter 3 |
|||
Unit 9 |
Solving Quadratic Equations |
Apr - May |
|
Section |
Concepts |
CC Standards |
Big Ideas Resources |
9.1 |
Properties of Radicals |
N-RN.A.2, N-RN.B.3 |
Pages 479-488 |
9.2 |
Solving Quadratic Equations by Graphing |
A.REI.4b, A.REI.11 |
Pages 489-496 |
9.3 |
Solving Quadratic Equations Using Square Roots |
A.REI.4b, A.REI.11 |
Pages 497-502 |
9.4 |
Solving Quadratic Equations by Completing the Square |
A.REI.4a,4b,A.SSE.3b,F.IF.8a |
Pages 505-514 |
9.5 |
Solving Quadratic Equations Using the Quadratic Formula |
A.REI.4a,4b |
Pages 515-524 |
9.6 |
Solving Nonlinear Systems of Equations |
A-REI.C.7, A-REI.D.11 |
Pages 525-532 |
Unit 10 |
Graphing Quadratic Functions |
May |
|
Section |
Concepts |
CC Standards |
Big Ideas Resources |
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 |
10.2 |
Graphing Cube Root Functions |
A-CED.A.2, F-IF.B.4, F-IF.B.6, F-IF.C.7b, F-IF.C.9 |
Pages 551-556 |
10.3 |
Solving Radical Equations |
A-CED.A.1 |
Pages 559-566 |
10.4 |
Inverse of a Function |
F-BF.B.4a |
Pages 567-574 |
Unit 11 |
Data Analysis and Displays |
May - June |
|
Section |
Concepts |
CC Standards |
Big Ideas Resources |
11.1 |
Measures of Center and Variation |
S.ID.2,3 |
Pages 585-592 |
11.2 |
Box-and-Whisker Plots |
S.ID.2,3 |
Pages 593-598 |
11.3 |
Shapes of Dispersions |
S.ID.2,3 |
Pages 599-606 |
11.4 |
Two-way Tables |
8.SP.4,S.ID.5 |
Pages 609-616 |
11.5 |
Choosing a Data Display |
S.ID.1 |
Pages 617-622 |