ALGEBRA 2
Functions/Relations/Polynomial Operations
1A, 1B, 1C, 1D, 1E, 1F, 1G,2D, 7I, 7B, 7C
Unit 1
1) Domain/Range - Multiple Representations
Interval Notation/Set Notation/Inequalities
2) Function notation, composite functions
3) Operations with Functions - Incude
add/sub/multiply polynomials, division by
monomial (Rules for combining like terms,
add exponents when multiplying)
4) Long Division
5) Synthetic Division/Review
6) Test
6 Days
2D. Composition of
Functions
7I: Domain/range, Int. Not,
set not, inequalities
7B: add/sub/multiply
polynomials, Divide by
monomial
7C: Long division,
synthetic division
Suggest no calculator during 1st 2 Units
- skills checks at beginning of period to
review fractions/decimals/linear
stuff/zero expoents/negative exponents
Absolute Value Functions, Equations, and Inequalities
1A, 1B, 1C, 1D, 1E, 1F, 1G, 2A, 6C, 6D, 6E, 6F
Unit 2
1) Solve Absolute Value
Equations/Inequalities
2) Formulate/Solve Absolute Value
equations/Inequalities
3) Introduce families and Graph absolute
value functions with transformations of a, b,
c, d
Domain/Range
Graph Inequalities
4) Review
5) Test
Add 2x2 systems to skills checks
R, 2A: Graph a, b, c, d and
domain/range, symmetry,
max, min
6D: Formulate AV equations
R, 6E: Solve AV =
6F: Solve AV inequalities
6C: Analyze a, b, c, d
7I: domain/range
1C: paper/pencil, graph to
solve
1D: multiple reps
1B:
formulate/reasonableness
1A: apply to everyday
5 DAYS
Systems of Linear Equations and Inequalities
1A, 1B, 1C, 1D, 1E, 1F, 1G,3A, 3B, 3E, 3F, 3G
Unit 3
1) 3x3 Substitution, Word Problems to
formulate
2) 3x3 regular Elimination, Word Problems
3) Matrices and 3x3 Gaussian Elimination
4) Linear Programming
5) LInear Programming
6) Solve 3x3 by inverse matrix on Calculator
Review
7) Test
7 DAYS
R, 3A: Formulate 3x3 Systems
R,3B: Solve 3x3 by elim, sub,
matrices on calc, Gaussian
elimination
3E: Formulate a system of at
least 2 linear inequalities
3F: Solve systems of 2 or
more linear inequalities
3G: Determine possible
solutions of 2 or more linear
inequalities
Factoring and Solving Quadratic Equations by Factoring
1A, 1B, 1C, 1D, 1E, 1F, 1G,4F, 7B, 7C, 7D, 7E, 7G, 7H
Unit 4
1) Factor GCF, Difference of squares and solve
quadratic equations by these methods
2) Factor trinomials/solve
3) Factor trinomials/solve
4) Difference of Cubes/4 terms/ others mixed to
factor
5) Factor/Solve mixed equations with degree 3 and
4
6) Review
7) Test
R, 7E: Factoring by grouping,
cubes, degree = 3 & 4
7D: Linear factors, degree = 3
&4
4F: Solve Quadratic
Equations
7 DAYS
Rational Functions and Equations
1A, 1B, 1C, 1D, 1E, 1F, 1G,2A, 6G, 6H, 6I, 6J, 6K, 6L, 7F
Unit 5
36 Days 1st
Semester
Unit 6
11 DAYS
6G: Graph y = 1/x, a, b, c, d
R2A: domain,range, symmetry,
intercepts
6H: Formulate/solve real world
rational equations
R, 6I: Solve Rational Equations
with real solutions
6J; Reasonableness of solutions
6k: Asymptotic restrictions with
domain/range
R, 6L: Formulate/solve
equations involving inverse
variation
R7F: add/sub/multiply/divide
rational expressions of deg = 1&2
Square Root Functions and Equations/Rational Exponents and Equations
1A, 1B, 1C, 1D, 1E, 1F, 1G,2A, 2B, 2C, 4C, 4E, 4F, 4G, 7G, 7H
9 DAYS
1) Inverse Variation/formulate/solve
2) Simplify, mul/divide Rational Expressions
(restrictions)
3) Add/Sub with common denominator/complex
4) Add/Sub without common denominator/complex
5) Solve rational equations
6) Formulate/solve rational equations
7) Graph by Ratey, no oblique asymptote
8) Graph by Ratey, hole/oblique asymptote
9) Graph y = 1/x by transformation with a, b, c, d
10) Review
11) Test
1) simplifying radicals
2) Mul/Div , add/sub radicals
3) Mul/Div, add/sub binomial radicals
4) Solve radical equations
5) Graph y = 𝑥 , a, b, c, d. Finding square root
function with technology
6) Rational exponents/operations
Rewrite radicals
7) Solve equations involving rational exponents
8) Review
9) Test
Review solving quadratics by factoring in this
unit and the beginning of next un it
7G: rewrite rational exponents that
contain variables to equivalent form
R, 7H: Solve equations involving
rational exponents
R2A: Graph y = 𝑥 , domain, range,
intercepts
R4C: Effects of a, b, c, d, on y = 𝑥
4E: Formulate radical equations
with technology
R4F: Solve radical equations
4G: Identify extraneous solutions
Quadratic Relations, Equations, and Inequalities
1A, 1B, 1C, 1D, 1E, 1F, 1G,2B, 2C, 2D, 3A, 3C, 3D, 4A, 4B, 4D, 4E, 4F, 4H, 7A, 7D
Unit 7
Unit 8
11 DAYS
A) 1) Graph/write linear inverses and intro quad
R, 2C: Inverses Quad/Sq root
function as inverse of 𝑥. Composition to prove.
2B: Write/graph inverses
2) Complex #s, Solve by Square roots
3A,C: Formulate/solve lin/quad
3) Solve by Quadratic Formula
3D: Reasonableness of solution
4) Solve Quadratic Inequalities (??depends on how 4A: Write quad from 3 points
algebraically or graphically)
R, 4B: Write equation of parabola from
5) Formulate/Solve Linear/Quadratic System and factor
vertex, focus, directrix, axis of symmetry,
cubes/solve 6) Review/Test
direction of opening
B) 1) Write Quadratic Equation from 3 ponts ad by
4D: Translate from standard to vertex
quadratic regression
4E: formulate quadratic with technology
2) Write equation/graph from a, h, k and translate
R, 4F: Solve quadratic equations
between standard and vertex
4H; Solve quadratic inequalities
3) Parabola from focus, directrix, vertex, etc.
7A: add/sub/mul complex numbers
4) Review
7D: linear factors of poly of deg = 3&4
5) Test
2D:; Composition to prove inverses
Cubic and Cube Root Functions and Equations
1A, 1B, 1C, 1D, 1E, 1F, 1G,2A, 2B, 2C, 2D, 6A, 6B, 7H
7 DAYS
1) graph cubic, Increase/Dec, end behavior, 3rd
differences
2) Factor cubic to find zeros, write from roots,
relative max/min, multiplicity?, Max volume,
synthetic division to find roots/evaluate
polynomial
3) Graph cube root/ max/min of an interval, prove
inverse of cubic
4) Graph cube root, a, b, c, d,
5) Solve cubic equations
6) Review
7) Test
R, 2A: Graph cubic and cube root,
domain/range, interval notation,
max/min on interval
2B: graph/write inverses
R,2C: Inverses of each other
2D: Composition of functions to prove
inverses
6A: effects of a, b, c, d, on both
6B: Solve cubic equations with real
roots
7H; Rational exponent equations
7D: Linear factors?
Exponential Functions and Equations
1A, 1B, 1C, 1D, 1E, 1F, 1G,2A, 5B, 5D, 7H
Unit 9
1) Graph exponential, max/min on an interval, y value,
growth/decay, real world growth/decay, write a
function
2) Transformational graphing and application on
calculator (regexp)
3) e, Transformation, compound interest, real world
application
4) Recursive exponential functions
5) Review
6) Test
1C) Technology
R, 2A: graph y = bx b is 2, 10 , e,
domain/range/intercepts/asymptote
5B: formulate exponential equation
from real world (recursive notation)
R, 5D: Solve exponential equations
in the form y = abx
R, 7H: Solve exponential equations
involving rational exponents
5A: effects of a, b, c, d,
Exponential and Logaritmic Functions and Equations
1A, 1B, 1C, 1D, 1E, 1F, 1G,2A, 2B, 2C, 5A, 5B, 5C, 5D, 5E
Unit 10
1) Define logs and show as inverse of
exponential, graph logs
2) log→exp, exp → log
3) Properties of logs, simplify, expand,
condense, change of base
Applications - Ph scale
4) Transformations of log by a, c, d.
Application of profits
5) Transformation of ln, Inverse of y = e^x.
Applications
6) exp/log equations
7) Natural log/simplify/solve/solve equations
8) Review
9) Test
6 DAYS
R, 2A: Graph log, b = 2, 10, e.
domain/range, asymptotes, max/min
on interval
2B: exp and log are inverses
2C: "
R, 5A: effects on graph of a, c, d,
5B: Formulate log equation from real
world
5C: log→exp, exp → log
R, 5D: Solve single log equations wit
real solutions
5E: reasonableness of solutions
9 DAYS
Linear, Quadratic, and Exponential Data Models
1A, 1B, 1C, 1D, 1E, 1F, 1G, 8A,8B, 8C
Unit 11
1) Analyze all 3 with choices
Use 1st and 2nd differences
2) Calculator regression
3) Make predicitons/judgements
4) Review
5) Test
5 DAYS
8A: analyze data lin/quad/exp
8b: regression on calculator to
write each
R, 8C: Predict from line/quad/exp
models
1F: anaylyze mathematical models
48 DAYS
- 2nd
Semester
Exploring a Business Venture
1A, 1B, 1C, 1D, 1E, 1F, 1G, 3A, 3B, 3C, 3E, 3G, 4E, 4F, 5B, 5D, 6L, 8C
Extra Lesson
DAYS