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Geometry Honors: This course follows the New York State curriculum for Integrated Geometry. Topics include analyzing geometric shapes and relationships, informal and formal proof, transformational geometry and coordinate geometry. The final exam is the Geometry Regents.
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
Linear Functions
September
Section
Concepts
CC Standards
Big Ideas Resources
1.1
Parent Functions and Transformations
F-BF.B.3
Pages 3 - 10
1.2
Transformations of Linear and Absolute Value Functions
F-BF.B.3
Pages 11 - 20
1.3
Modeling with Linear Functions
A-CED.A.2,F-IF.C.9, F-BF.A.1a, F-LE.A.2, S-ID.B.6a
Pages 21 - 28
1.4
Solving Linear Systems
A-CED.A.3, A-REI.C.6
Pages 29 - 36
Linear System Word Problems and Applications
Unit 2
Quadratic Functions
Sept - Oct
Section
Concepts
CC Standards
Big Ideas Resources
2.1
Transformations of Quadratic Functions
F.IF.C.7c, F-BF.B.3
Pages 47 - 54
2.2
Characteristics of Quadratic Functions
F-IF.B.4, F-IF.C.7c, F-IF.C.9, A-APR.B.3
Pages 55 - 64
2.3
Focus of Parabola
F-IF.B.4, F-IF.C.7c, G-GPE.A.2
Pages 67 - 74
2.4
Modeling with Quadratic Functions
A-CED.A.2, F-IF.B.6, F-BF.A.1a, S-ID.B.6a
Pages 75 - 83
Unit 3
Quadratic Equations and Complex Numbers
Oct - Nov
Section
Concepts
CC Standards
Big Ideas Resources
3.1
Solving Quadratic Equations
A-SSE.A.2, A-REI.B.4b, F-IF.C.8a
Pages 93 - 102
3.2
Complex Numbers
N-CN.A.1, N-CN.A.2, N-CN.C.7, A-REI.B4b
Pages 103 - 110
3.3
Completing the Square
C-CN.C.7, A-REI.B.4b, F-IF.C.8a
Pages 111 - 118
3.4
Using the Quadratic Formula
N.CN.C.7, A-REI.B.4b
Pages 121 - 130
3.5
Solving Nonlinear Systems
A-CED.A.3, A-REI.C.7, A-REI.D.11
Pages 131 - 138
3.6
Quadratic Inequalities
A-CED.A.1, A-CED.A.3
Pages 139 - 146
End of Quarter 1
Unit 4
Polynomial Functions
Nov - Dec
Section
Concepts
CC Standards
Big Ideas Resources
4.1
Graphing Polynomial Functions
F-IF.B.4, F-IF.C.7c
Pages 157 - 164
4.2
Adding, Subtracting and Multiplying Polynomials
A-APR.A.1, A-APR.C.4, A-APR.C.5
Pages 165 - 172
4.3
Dividing Polynomials
A-APR.B.2, A-APR.D.6
Pages 173 - 178
4.4
Factoring Polynomials
A-SSE.A.2, A-APR.B.2, A-APR.B.3
Pages 179 - 188
4.5
Solving Polynomial Equations
A-APR.B.3
Pages 189 - 196
4.6
The Fundamental Theorem of Algebra
Descartes's Rule of Signs
N-CN.C.8, N-CN.C.9, A-APR.B.3
Pages 197 - 204
4.7
Transformations of Polynomial Functions
F-IF.C.7c
Pages 205 - 210
4.8
Analyzing Graphs of Polynomial Functions
A-APR.B.3, F-IF.B.4, F-IF.C.7c
Pages 211 - 218
4.9
Modeling with Polynomial Functions
A-CED.A.2, F-BF.A.1a
Pages 219 - 224
Unit 5
Rational Exponents and Radical Functions
Dec - Jan
Section
Concepts
CC Standards
Big Ideas Resources
5.1
nth Root and Rational Exponents
N-RN.A.1, N-RN.A.2
Pages 237 - 242
5.2
Properties of Rational Exponents and Radicals
N-RN.A.2
Pages 243 - 250
5.3
Graphing Radical Functions
F-IF.C.7b, N-BF.B.3
Pages 251 - 258
5.4
Solving Radical Equations and Inequalities
A-REI.A.1, A-REI.A.2
Pages 261 - 268
5.5
Performing Function Operations
F-BF.A.1b
Pages 269 - 274
5.6
Inverse of a Function
A-CED.A.4, F-BF.B.4a
Pages 275 - 284
Unit 6
Exponential and Logarithmic Functions
Jan - Feb
Section
Concepts
CC Standards
Big Ideas Resources
6.1
Exponential Growth and Decay Functions
A-SSE.B.3c, F-IF.C.7e, F-IF.C.8b, F-LE.A.2, F-LE.B.5
Pages 295 - 302
6.2
The Natural Base e
F-IF.C.7e, F-LE.B.5
Pages 303 - 308
6.3
Logarithms and Logarithmic Functions
F-IC.C.7e, F-BF.B.4a, F-LE.A.4
Pages 309 - 316
6.4
Transformations of Exponential and Logarithmic
F-IF.C.7e. F-BF.B.3
Pages 317 - 326
6.5
Properties of Logarithms
A-SSE.A.2, F-LE.A.4
Pages 327 - 332
6.6
Solving Exponential and Logarithmic Equations
A-REI.A.1, F-LE.A.4
Pages 333 - 340
6.7
Modeling with Exponential and Logarithmic Functions
A-CED.A.2, F-BF.A.1a, F-LE.A.2
Pages 341 - 349
End of Quarter 2
Unit 7
Rational Functions
Feb - Mar
Section
Concepts
CC Standards
Big Ideas Resources
7.1
Inverse Variation
A-CED. A.1, A-CED.A.2, A-CED.A.3
Pages 359 - 364
7.2
Graphing Rational Functions
A-APR.D.6,
F-BF.B.3
Pages 365 - 374
7.3
Multiplying and Dividing Rational Expressions
A-APR.D.6, A-APR.D.7
Pages 375 - 382
7.4
Adding and Subtracting Rational Expressions
A-APR.D.6, A-APR.D.7
Pages 383 - 390
7.5
Simplifying Complex Fractions
7.6
Solving Rational Equations
A-CED.A.4, A-REI.A.1, A-REI.A.2
Pages 391 - 398
Unit 8
Sequences and Series
Mar - Apr
Section
Concepts
CC Standards
Big Ideas Resources
8.1
Defining and Using Sequences and Series
F-IF.A.3
Pages 409 - 416
8.2
Analyzing Arithmetic Sequences and Series
S-IF.A.3, F-BF.A.2, F-LE.A.2
Pages 417 - 424
8.3
Analyzing Geometric Sequences and Series
A-SSE.B.4, F-IF.A.3, F-BF.A.2, F-LE.A.2
Pages 425 - 432
8.4
Finding Sums of Infinite Geometric Series
A-SSE.B.4
Pages 435 - 440
8.5
Using Recursive Rules with Sequences
F-IF.A.3, F-BFA.A.1a, F-BF.A.2
Pages 441 - 450
Unit 9
Trigonometric Ratios and Functions
Apr - May
Section
Concepts
CC Standards
Big Ideas Resources
9.1
Right Triangle Trigonometry
F-TF.A.1, F-TF.A.2, F-TF.B.5, F-TF.C.8
Pages 461 - 468
9.2
Angles and Radian Measure
F-TF.A.1
Pages 469 - 476
9.3
Trigonometric Functions of Any Angle
F-TF.A.2
Pages 477 - 484
9.4
Graphing Sine and Cosine Functions
F-IF.C.7e, F-BF.B.3
Pages 485 - 496
9.5
Graphing Other Trigonometric Functions
F-IF.C.7e, F-BF.B.3
Pages 497 - 504
9.6
Modeling with Trigonometric Functions
F-TF.B.5, F-BF.A.1a, A-CED.A.2
Pages 505 - 512
9.7
Using Trigonometric Identities
Proving Trigonometric IdentitiesF-TF.C.8
Pages 513 - 518
9.8
Using Sum, Difference, Double and Half Angle Formulas
F-TF.C.9
Pages 519 - 524
End of Quarter 3
Unit 10
Probability
May - June
Section
Concepts
CC Standards
Big Ideas Resources
10.1
Sample Spaces and Probability
S-CP.A.1
Pages 537 - 544
10.2
Independent and Dependent Events
S-CP.A.1, S-CP.A.2, S-CP.A.3, S-CP.A.5, S-CP.B.6, S-CP.B.8
Pages 545 - 552
10.3
Two-Way Tables and Probability
S-CP.A.4, S-CP.A.5
Pages 553 - 562
10.4
Probability of Disjoint and Overlapping Events
S-CP.A.1, S-CP.B.7
Pages 563 - 568
10.5
Permutations and Combinations
SA-APR.C.5, S-CP.B.9
Pages 569 - 578
10.6
Binomial Distributions
S-CP.B.9
Pages 579 - 584
Unit 11
Data Analysis and Statistics
June
Section
Concepts
CC Standards
Big Ideas Resources
11.1
Using Normal Distribution
S-ID.A.4
Pages 595 - 602
11.2
Populations, Samples, and Hypotheses
S-IC.A.1, S-IC.A.2
Pages 603 - 608
11.3
Collecting Data
S-IC.A.1, S-IC.B.3
Pages 609 - 618
11.4
Experimental Design
S-IC.A.1, S-IC.B.3, S-IC.B.6
Pages 619 - 624
11.5
Making Inferences from Sample Surveys
S-IC.A.2, S-IC.B.4
Pages 625 - 632
11.6
Making Inferences from Experiments
S-IC.A.2, S-IC.B.5
Pages 633 - 638
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