Download Alabama COS Standards

Algebra II Pacing Guide
Suggested Book List
1st Grade
All Sorts of Numbers – counting
* Henry the Fourth – ordinal numbers
* 3 Little Firefighters – sorting
* It’s About Time!
* Bug Dance
* The Best Vacation Ever – data collecting,
problem solving skills
* Count on Clifford
2nd Grade
Amanda Bean’s Amazing Dream –
multiplication
* Clocks and More Clocks - time
* Much Bigger than Martin – size
“Slowly, Slowly, Slowly” said the Sloth
* Lemonade for Sale - money
* 100 Days of School – counting to 100
* Biggest Bed in the World – size
* Give Me Half – halves
3rd Grade
Sir Cumference and the Dragon Pi
* Grandfather’s Tang Story - changing
shape
* Chicken Soup with Rice – months
* Counting on Frank – size comparison,
math facts, counting
* Hershey’s Milk Chocolate Bar Fraction
* How Much is a Million
Mummy Math: An Adventure in Geometry
* Millions of Cats
* Three Days on a River in a Red Canoe
4th Grade
Carry On, Mr. Bowditch
Sir Cumference and the Great Knight of
Angle Land – acute, obtuse, straight
angles
Sir Cumference and the Sword in the Cone –
cubes, pyramids, prisms
Sir Cumference and the First Round Table –
measurement
* A Million Fish…More or Less
Dear Mr. Henshaw
A Higher Geometry
* The Village of Round and Square Houses
- shape
5th Grade
* How the Second Grade Got $8205.50 to
Visit the Statue of Liberty – money
Hannah, Divided
The Secret Life of Amanda K. Woods –
probability
Tuck Everlasting – calculate population
Gulliver’s Travel – geometry
Jayden’s Rescue – problem solving
The Curious Incident of the Dog in the
Night – time, probability
The Heroic of Hercules Amsterdam –
counting
6th Grade
The Da Vinci Code – Fibonacci Sequence
The Twenty-one Balloons – mathematical
reasoning
Journey to Topaz – measurement
7th Grade
The Sand-Reckoner – problem solving
The Pearl – currency calculation
Middle – High School
Imaginary Numbers
Mathematics in the Time of Pharaohs
Medieval Chinese Innovations
Math Talk: Mathematical Ideas in Poems
for Two Voices
High School
Against the Odds – number theory
Five Equations that Changed the World
The Man Who Loved Only Numbers
Math Equals: Biographies of Women
Mathematical Scandels
Archimede’s Revenge – application of math
Calculus and Pizza
* denotes AR books
Algebra II Pacing Guide
Algebra II Pacing Guide
Alabama COS Standards
Textbook
Correlation
Pacing Guide
AMSTI
Big Ideas /
Essential
Question
Essential
Vocabulary
AHSGE & NAEP
Correlations / ARMT
Blueprint
1ST Nine Weeks
7. Solve equations, inequalities, and
1.1-1.6
applied problems involving absolute
values, radicals, and quadratics over the
complex numbers, as well as
exponential and logarithmic functions.
Example: solving x2- 4 > 0 or 3x =
81
Solving equations using laws of
exponents, including rational
and irrational exponents
Expressing the solution of an
equation, inequality, or applied
problem as a graph on a number
line or by using set or interval
notation
4
Weeks
Compound
inequality,
absolute value,
extraneous
solution
10. Use different forms of
representation to compare
characteristics of data gathered from
two populations.
Evaluating the appropriateness of
the design of an experimental
study
Describing how sample statistics
reflect values of population
parameters
Page 2 of 14
AHSGE-II-1, II-4, V-3
NAEP-A3a, A3b, A4a,
A4c, N1g, N1j, N5e
Technology Based Lessons / Links
Algebra II Pacing Guide
12. Calculate probabilities of events
using the laws of probability.
Using permutations and
combinations to calculate
probabilities
Calculating conditional probability
Calculating probabilities of
mutually exclusive events,
independent events, and
dependent events
3. Analyze families of functions,
2.1 - 2.7,
including shifts, reflections, and dilations 9.1, 9.2
of y = k (inverse variation), y = kx
3
Weeks
x
(direct variation/linear), y = x2
(quadratic), y = ax (exponential), and y =
logax (logarithmic).
Example: comparing the graphs
of y = 2x, y = 2x + 1, y
= 2x + 1, and y = -2x
Identifying the domain and range
of a relation given its graph, a
table of values, or its equation,
including those with restricted
domains
Example: finding the domain of y
= 1 or y = x  2
x3
Identifying real-world situations
corresponding to families of
functions
Page 3 of 14
Experimental
probability,
simulation,
sample space,
theoretical
probability,
scatter plot,
trend line
AHSGE-VII-12
Relation,
domain, range,
mapping
diagram,
vertical line
test, function,
vertex,
translation,
parent function,
branch
NAEPA1h, A2a, b, d, e, f,
A3a, A4c, A1e, A2a
Algebra II Pacing Guide
Linear inequality
7. Solve equations, inequalities, and
applied problems involving absolute
values, radicals, and quadratics over the
complex numbers, as well as
exponential and logarithmic functions.
Example: solving x2- 4 > 0 or 3x =
81
Solving equations using laws of
exponents, including rational
and irrational exponents
Expressing the solution of an
equation, inequality, or applied
problem as a graph on a number
line or by using set or interval
notation
AHSGE- II-3
8. Solve systems of linear equations or
inequalities in two variables using
algebraic techniques, including those
involving matrices.
Example: using the matrix
operations of a
calculator to solve a
system of linear
equations
Evaluating the determinant of a
2x2 or 3x3 matrix
Solving word problems involving
real-life situations
Page 4 of 14
Algebra II Pacing Guide
2nd Nine Weeks
8. Solve systems of linear equations or
inequalities in two variables using
algebraic techniques, including those
involving matrices.
Example: using the matrix
operations of a
calculator to solve a
system of linear
equations
Evaluating the determinant of a
2x2 or 3x3 matrix
Solving word problems involving
real-life situations
3.1-3.6
4
Weeks
8. Solve systems of linear equations or
inequalities in two variables using
algebraic techniques, including those
involving matrices.
Example: using the matrix
operations of a
calculator to solve a
system of linear
equations
Evaluating the determinant of a
2x2 or 3x3 matrix
Solving word problems involving
real-life situations
4.1-4.8
4
Weeks
NAEPA2a, A2c, A4a, A4g
Matrix, matrix
element, zero
matrix, scalar,
square matrix,
coefficient
matrix, variable
matrix, constant
matrix,
augmented
matrix
Page 5 of 14
NAEPA4a, A4g, N3a, N4d,
G2c
Algebra II Pacing Guide
9. Solve coordinate geometry problems
using algebraic techniques.
Examples: finding missing
coordinates of vertices
of polygons,
determining properties
of polygons given the
coordinates of their
vertices, determining
perpendicularity of
sides of a polygon on a
coordinate plane
Page 6 of 14
Algebra II Pacing Guide
3rd Nine Weeks
1. Determine the relationships among
5.1-5.8
the subsets of complex numbers.
Example: using Venn diagrams or
tree diagrams to show
how subsets of complex
numbers are related
2.
Simplify expressions involving
complex numbers, using order of
operations and including conjugate and
absolute value.
Examples: simplifying  8 , (42i)2, and 3  i
3i
6
Weeks
“Fireworks”
Replaces
Chapter 5
Imaginary #
i, complex #,
complex # plane
High Dive
(Day 23)
Chapter 5
“Fireworks”
Replaces
Chapter 5
High Dive
(Day 23)
Chapter 5
3. Analyze families of functions,
including shifts, reflections, and dilations
of y = k (inverse variation), y = kx
“Fireworks”
Replaces
Chapter 5
(direct variation/linear), y = x2
(quadratic), y = ax (exponential), and y =
logax (logarithmic).
Example: comparing the graphs
of y = 2x, y = 2x + 1, y
= 2x + 1, and y = -2x
Identifying the domain and range
of a relation given its graph, a
table of values, or its equation,
including those with restricted
domains
Example: finding the domain of y
= 1 or y = x  2
High Dive
(Day 23)
Chapter 5
Quadratic
function,
vertex, axis of
symmetry,
parabola, zero
of a function,
discriminant
x
x3
Page 7 of 14
NAEPA1e, A2a, A2c, A2g,
A4a, A3b, A3c, A4c,
G2c
Algebra II Pacing Guide
Identifying real-world situations
corresponding to families of
functions
4. Determine approximate real zeros of
functions graphically and numerically
and exact real zeros of polynomial
functions.
Using completing the square, the
zero product property, and the
quadratic formula
“Fireworks”
Replaces
Chapter 5
High Dive
(Day 23)
Chapter 5
Factoring, GCF,
perfect square
trinomial,
difference of
two squares,
completing the
square
5. Identify the characteristics of
quadratic functions from their roots,
graphs, or equations.
Writing an equation when given its
roots or graph
Graphing a function when given its
equation
Examples: graphing equations of
the form y = a(x-h)2 +
k, graphing equations
of the form y = ax2 + bx
+c
Determining the nature of the
solutions of a quadratic
equation
Determining the maximum or
minimum values of quadratic
functions both graphically and
algebraically
“Fireworks”
Replaces
Chapter 5
Parabola, axis of
symmetry,
vertex
High Dive
(Day 23)
Chapter 5
Page 8 of 14
AHSGE-II-2
Algebra II Pacing Guide
6.
Perform operations on functions,
including addition, subtraction,
multiplication, division, and composition.
Determining the inverse of a
function or a relation
Performing operations on
polynomial and rational
expressions containing variables
Example: simplifying 3 +
“Fireworks”
Replaces
Chapter 5
AHSGEI-2, I-3
High Dive
(Day 23)
Chapter 5
x5
5
x2  6x  5
Constructing graphs by analyzing
their functions as sums or
differences
7. Solve equations, inequalities, and
applied problems involving absolute
values, radicals, and quadratics over the
complex numbers, as well as
exponential and logarithmic functions.
Example: solving x2- 4 > 0 or 3x =
81
Solving equations using laws of
exponents, including rational
and irrational exponents
Expressing the solution of an
equation, inequality, or applied
problem as a graph on a number
line or by using set or interval
notation
11. Determine an equation of linear
regression from a set of data.
Examining data to determine if a
linear or quadratic relationship
exists and to predict outcomes
“Fireworks”
Replaces
Chapter 5
Imaginary #, i,
Complex
numbers,
complex #
plane,
completing the
square,
quadratic
formula,
discriminant
High Dive
(Day 23)
Chapter 5
“Fireworks”
Replaces
Chapter 5
High Dive
Page 9 of 14
Algebra II Pacing Guide
(Day 23)
Chapter 5
4. Determine approximate real zeros of
functions graphically and numerically
and exact real zeros of polynomial
functions.
Using completing the square, the
zero product property, and the
quadratic formula
6.1-6.6
2
weeks
Relative
maximum,
relative
minimum,
multiple zero,
multiplicity, sum
of cubes,
difference of
cubes,
conjugates
Permutation,
combination
Synthetic
division,
remainder
theorem
6. Perform operations on functions,
including addition, subtraction,
multiplication, division, and composition.
Determining the inverse of a
function or a relation
Performing operations on
polynomial and rational
expressions containing variables
Example:
simplifying 3 + 2 5
x5
x  6x  5
Constructing graphs by analyzing their
functions as sums or differences
Page 10 of 14
NAEPA2g, A3b, A3c, A4a
Algebra II Pacing Guide
4th Nine Weeks
3. Analyze families of functions,
7.1-7.8
including shifts, reflections, and dilations
of y = k (inverse variation), y = kx
3
Weeks
Radical function
x
(direct variation/linear), y = x2
(quadratic), y = ax (exponential), and y =
logax (logarithmic).
Example: comparing the graphs
of y = 2x, y = 2x + 1, y
= 2x + 1, and y = -2x
Identifying the domain and range
of a relation given its graph, a
table of values, or its equation,
including those with restricted
domains
Example: finding the domain of y
= 1 or y = x  2
x3
Identifying real-world situations
corresponding to families of
functions
Composite
function,
inverse relation,
inverse function
6. Perform operations on functions,
including addition, subtraction,
multiplication, division, and composition.
Determining the inverse of a
function or a relation
Performing operations on
polynomial and rational
expressions containing variables
Example:
simplifying 3 + 2 5
x5
x  6x  5
Constructing graphs by analyzing
their functions as sums or
Page 11 of 14
NAEPA1e, A1g, A2a, A2b,
A4a, N1d, N5f
Algebra II Pacing Guide
differences
7. Solve equations, inequalities, and
applied problems involving absolute
values, radicals, and quadratics over the
complex numbers, as well as
exponential and logarithmic functions.
Example: solving x2- 4 > 0 or 3x =
81
Solving equations using laws of
exponents, including rational
and irrational exponents
Expressing the solution of an
equation, inequality, or applied
problem as a graph on a number
line or by using set or interval
notation
Radical equation
3. Analyze families of functions,
8.1- 8.6
3
including shifts, reflections, and dilations
Weeks
of y = k (inverse variation), y = kx
Exponential
function, growth
factor, decay
factor,
asymptote ,
logarithm,
common
logarithm,
logarithmic
function,
x
(direct variation/linear), y = x2
(quadratic), y = ax (exponential), and y =
logax (logarithmic).
Example: comparing the graphs
of y = 2x, y = 2x + 1, y
= 2x + 1, and y = -2x
Identifying the domain and range
of a relation given its graph, a
table of values, or its equation,
including those with restricted
Page 12 of 14
NAEPA3L, A1h, A2a, A2b,
A2e, A2h, A3a, A3b
Algebra II Pacing Guide
domains
Example: finding the domain of y
= 1 or y = x  2
x3
Identifying real-world situations
corresponding to families of
functions
6. Perform operations on functions,
including addition, subtraction,
multiplication, division, and composition.
Determining the inverse of a
function or a relation
Performing operations on
polynomial and rational
expressions containing variables
Example:
simplifying 3 + 2 5
x5
x  6x  5
Constructing graphs by analyzing
their functions as sums or
differences
Exponential equation,
change of base
formula, logarithmic
equation, natural
logarithmic function
7. Solve equations, inequalities, and
applied problems involving absolute
values, radicals, and quadratics over the
complex numbers, as well as
exponential and logarithmic functions.
Example:
solving x2- 4 > 0 or 3x = 81
Solving equations using laws of
exponents, including rational
and irrational exponents
Expressing the solution of an
equation, inequality, or applied
problem as a graph on a number
line or by using set or interval
notation
Page 13 of 14
Algebra II Pacing Guide
10. Use different forms of
representation to compare
characteristics of data gathered from
two populations.
Evaluating the appropriateness of
the design of an experimental
study
Describing how sample statistics
reflect values of population
parameters
6.7,
9.7,
12.112.5
2
Weeks
Sample, sample
proportion,
random sample,
margin of error,
complex
fraction,
rational
expression
11. Determine an equation of linear
regression from a set of data.
Examining data to determine if a
linear or quadratic relationship
exists and to predict outcomes
Conditional
probability,
dependent
events,
independent
events, mutually
exclusive events
12. Calculate probabilities of events
using the laws of probability.
Using permutations and
combinations to calculate
probabilities
Calculating conditional probability
Calculating probabilities of
mutually exclusive events,
independent events, and
dependent events
Page 14 of 14
NAEPD1b, D1d, D2a, D2d,
D4c, D4e, D4i