Honors Math 2

Unit Title / Day / Topic / CCSS / Honors Extensions
Unit 1-
Exponents and Expressions/Polynomials / 11 days /
  • Define terms, factors, and coefficients
  • Properties of Exponents
  • Rational Exponents
  • Add/Subt polynomials
  • Multiplying polynomials
  • Factor by GCF and grouping
  • Factoring quadratics
  • Review and test
/ A.SSE.1 A.SSE.2 A.SSE.3C
N.RN.2
A.CED.1
A.CED.2
A.CED.3
A.CED.4
A.APR.1 A.APR.3
A.REI.11
F.IF.9 /
  • Perimeter and Area with polynomials

Unit 2-
Quadratics / 7 days /
  • Key features, Graphing, axis of symmetry/vertex
  • Solve by quadratics by factoring and graphing
  • Solve by completing the square
  • Solve by quad form
  • Model with quadratics
  • Review and test
/ A.APR.1
A.APR.3
A.CED.1
A.CED.2, A.CED.3, A.CED.4, A.REI.4
A.REI.7,A.REI.10
A.REI.11
F.LE.3
F.IF.5, F.IF.8A, A.SSE.2 /
  • Derive the quadratic formula by completing the square
  • Conic section terminology of parabolas (horizontal parabola)

Unit 3-
Solving Equations / 6 days /
  • Linear equations/ literal equations, Inverse Variation
  • Absolute value equations and inequalities
  • Radical equations
  • Rational equations
  • Review and test
/ A.REI.1
A.REI.2
A.REI.10
F.BF.1
F.IF.2
F.IF.5
F.IF.9
A.CED.1
A.CED.2
A.CED.4 /
  • Solve complex radical and rational equations where extraneous solutions may arise.

Unit 4-
Graphing Functions / 9 days /
  • Functions/Relations (include function notation)
  • Graph linear and abs.val (include inequalities)
  • Graph square root/cube root
  • Inverse Functions
  • Graph step and piece-wise functions
  • Parent Functions and Transformations
  • Parent Functions and Transformations
  • Review and test
/ F.IF.2
F.IF.5
F.IF.4
F.IF.5
F.IF.7
A.REI.10A.REI.11F.BF.1A
F.BF.1
F.BF.2
F.BF.3
F.BF.4A.CED.1 A.CED.2A.CED.3
A.CED.4
A.CED.2 /
  • Express domain and range in set and/or interval notation

Unit 5-
Systems of Equations / 7 days /
  • Solve systems by graphing
  • Solve systems of inequalities by graphing with constraints
  • Systems of quadratic and linear equations
  • Review and test
/ A.CED.2 A.CED.3A.CED.4
F.IF.7B
F.IF.8A A.REI.1A.REI.4
A.REI.10
A.REI.11 /
  • Use inequalities and constraints to solve linear programming problems.

Unit 6-
Constructions and Transformations / 9 days /
  • Foundations of Geometry (1.2 in Geo book-undefined terms, collinear, coplanar, congruence, naming lines and planes, etc…)
  • Divide segments into given ratios
  • Constructions (mathopenref.com)
  • Introduction to Transformations (basic terminology, rigid vs. non-rigid)
  • Translations/Dilations
  • Reflections
  • Rotations
  • Review and test
/ G.GPE.6
G.CO.1
G.CO.2
G.CO.3 G.CO.4
G.CO.5
G.CO.6
G.CO.7
G.CO.13
G.SRT.1 /
  • Enrichment activity with tessellations
  • Use dilations to define similarity while incorporating geometric mean

Unit 7-
Triangle Congruency and Proofs / 8 days /
  • Equilateral/Isosceles Triangles/Midsegment Thm
  • SSS/SAS
  • AAS/ASA
  • HL/CPCTC
  • Fill in the blank proofs
  • Proofs
  • Review and test
/ G.CO.8, G.CO.10 /
  • Utilize special segments and their properties in triangles (i.e. altitude, , angle bisectors, perpendicular bisectors, medians)
  • Complex proofs

Unit 8-
Right Triangles and Trigonometry / 7 days /
  • Pythagorean Theorem and its Converse
  • SOHCAHTOA
  • Application of SOHCAHTOA (ex. Determining the height of a triangle using SOHCAHTOA and
  • Review and test
/ N.RN.2
G.SRT.6
G.SRT.7
G.SRT.8
G.SRT.9
G.SRT.11 /
  • Trig area formula (G.SRT.9)
  • Law of Sines/Cosines and applications (G.SRT.11)
  • Special Right Triangles
  • Angles of Elevation and Depression with application problems

Unit 9-
3-Dimensional Solids and Cross-Sections / 8 days /
  • Derive equation of circle using Pythagorean theorem
  • Cross sections/ Solids of Revolution
  • S.A. of Prisms and Cylinders
  • S.A. of Pyramids and Cones
  • Volume of above
  • Surface Area and Volume of Spheres
  • Application problems
  • Review and test
/ G.GPE.1
G.GMD.4
G.MG.1
G.MG.2, G.MG.3 /
  • Euler’s Formula

Unit 10-
Statistics and Probability / 10 days /
  • Intro to stats (basic definitions, different ways of representing data)
  • Central Tendency, Spread, Variance
  • SEXYSC- linear, quad, exp
  • Venn Diagrams and Set Theory
  • Theoretical and Experimental Probability
  • Probability and Frequency Tables
  • Compound probability and Multiple Events
  • Conditional Probability
  • Permutations and Combinations
  • Multiplication Rule in a Uniform Probability
  • Review
  • Test
/ S.IC.2
S.IC.6
S.CP.1
S.CP.2
S.CP.3
S.CP.4
S.CP.5
S.CP.6
S.CP.7
S.CP.8
S.CP.9 /
  • Permutations and Combinations (S.CP.9)
  • Multiplication Rule in a Uniform Probability (S.CP.8)

Note:

-N.Q.1, N.Q.2, N.Q.3 are used throughout the semester.