Download Bellwork/Spiral Review

Honors Algebra Two
2010
Teaching
Days
2
2
4
Lesson
State Indicator
Textbook
Correlation
Procedures/Diagnostic Test
Outside
Resources
Activities
Alignment to
McDougal Littell
(new version)
---
Unit 1
---
Since many skills and concepts
in mathematics must be taught
in connection with other skills
the indicators have been
grouped together for each unit.
The numbers of days given
with the unit is the time to
teach all of the indicators for
that unit. Teachers may choose
to change the teaching order of
the indicators in a unit;
however, the order of the units
or the indicators in the units
cannot be changed.
Spiral Review: Teacher
selected from HSAP skills and
SAT/ACT.
Lesson: Add and subtract
polynomials. (This is a review
from Algebra One).
Spiral Review: Teacher
selected from HSAP skills and
SAT/ACT.
Lesson: 1) Solve linear
equations and inequalities
algebraically and graphically
(this is a review from
---
IA. 4.1Carry out procedures to
perform operations (including
multiplication,
exponentiation, and division)
with polynomial expressions.
District Curriculum
P. 19-26
P. 41-47
P. 108-113
P. 139-155
Sect: 5.3
p.346-352,403
Sect:1.3 p. 18-24
Sect: 2.3 p. 89-96
Sect: 1.6 p. 41-47
1
Teaching
Days
4
4
3
Lesson
Algebra I), 2) Graph the
solution of the inequality on
the number line.
Spiral Review: Teacher
selected from HSAP skills and
SAT/ACT.
Lesson: 1) Solve a system of
linear equations algebraically
and graphically (this is a
review from Algebra I), 2) Use
matrices to solve a system of
linear equations. (Matrices
have not been previously
introduced).
Spiral Review: Teacher
selected from HSAP skills and
SAT/ACT.
Lesson: 1) Solve system of
linear inequalities algebraically
and graphically, solve real
world problems, 2) Use a
system of linear inequalities to
solve a variety of real world
problems
Spiral Review: Teacher
selected from HSAP skills and
SAT/ACT.
State Indicator
Textbook
Correlation
Activities
Alignment to
McDougal Littell
(new version)
Sect: 3.1 p. 153-158
Sect: 3.2 p. 160-167
Sect: 3.5 (matricies)
p. 187- 193
District Curriculum
IA.2.1Carry out a procedure to
solve a system of linear
inequalities.
IA.2.2
Carry out a procedure to
solve a system of linear
inequalities graphically.
Carry out a procedure to
solve a system of linear
inequalities.
IA.2.3
Analyze a problem situation
to determine a system of
linear inequalities that models
the problem situation.
IA. 2.4
Use linear programming to
solve contextual problems
Outside
Resources
P. 156-162
Sect: 3.3 p. 168- 173
P. 163-169
Extension
p. 174-176
2
Teaching
Days
3
1
1
2
4
6
Lesson
Lesson: Use linear
programming to solve real
world problems involving a
system of linear inequalities.
Spiral Review: Teacher
selected from HSAP skills and
SAT/ACT.
Lesson: 1) Find the domain
and range of discontinuous
functions, including piecewise
and step functions, 2) Graph
discontinuous functions,
including piecewise and step
functions.
Review for Unit 1 Test
Unit 1 Test
Unit 2
Spiral Review: Teacher
selected from Unit 1, HSAP
and SAT/ACT.
Lesson: Multiply polynomial
including monomials,
binomials, and trinomials.
Spiral Review: Teacher
selected from Unit 1, HSAP
and SAT/ACT.
Lesson: Divide polynomials
using long division and
synthetic division.
Spiral Review: Teacher
State Indicator
Textbook
Correlation
Outside
Resources
Activities
Alignment to
McDougal Littell
(new version)
involving a system of linear
inequalities that models the
problem situation.
IA.2.10
Carry out a procedure to
determine the domain and
range of discontinuous
functions, including
piecewise and step functions.
P. 114-127
Extension
p. 130- 131
IA.2.9
Carry out a procedure to
graph discontinuous
functions, including
piecewise and step functions.
IA. 4.1Carry out procedures to
perform operations (including
multiplication,
exponentiation, and division)
with polynomial expressions.
IA. 4.1Carry out procedures to
perform operations (including
multiplication,
exponentiation, and division)
with polynomial expressions.
IA. 4.3
P. 338-343
P. 352-358
------Sect: 5.3
p.346-352,403
P. 338-343
P. 352-358
Sect: 5.5
p. 362- 368
P. 257-263
Sect: 4.3 p. 252- 258
3
Teaching
Days
1
1
3
1
Lesson
selected from Unit 1, HSAP
and SAT/ACT.
Lesson: Factor polynomials
including the following: 1)
factoring the difference of two
squares, 2) factor by grouping,
3) factoring trinomials, 4)
factor the sum of a cube, 5)
factor the difference of a cube.
Review for Unit 2 Test
Unit 2 Test
Unit 3
Spiral Review: Teacher
selected from Units 1, 2, HSAP
and SAT/ACT.
Lesson: 1) Use the
discriminant to determine the
number and type of solutions
for a quadratic equation, 2)
solve quadratic equations by
factoring .
Spiral Review: Teacher
selected from Units 1, 2, HSAP
and SAT/ACT.
Lesson: Solve quadratic
equations by completing the
square.
State Indicator
The portion of the standard
that includes factoring:
Carry out a procedure to
solve polynomial equations
(including factoring by
grouping, difference of two
squares, sum of cubes, and
difference of cubes).
Textbook
Correlation
P. 345-346
P. 256-263
Outside
Resources
Activities
Alignment to
McDougal Littell
(new version)
Sect: 4.4 p. 259- 265
Sect: 5.4 p. 353- 359
----IA. 3.4
Use the discriminant to
determine the number and
type of solutions of a
quadratic equation.
IA.3.3
Carry out a procedure to
solve quadratic equations
algebraically (including
factoring, completing the
square, and the quadratic
formula).
P. 291-298
IA.3.3
Carry out a procedure to
solve quadratic equations
algebraically (including
factoring, completing the
square, and the quadratic
formula).
P. 291-298
-Sect: 4.8 p. 292-298
p. 252-265,317,319,320
Sect: 4.7 p. 284-291,
317, 321
4
Teaching
Days
Lesson
State Indicator
3
Spiral Review: Teacher
selected from Units 1, 2, HSAP
and SAT/ACT.
Lesson: 1) Solve quadratic
equations graphically, 2)
Determine the roots of the
equation (zeros), maximum
point and minimum point
IA. 3.3
Carry out a procedure to
solve quadratic equations
algebraically (including
factoring, completing the
square, and the quadratic
formula).
IA. 4.2
Carry out a procedure to
determine specified points
(including zeros, maximums,
and minimums) of
polynomial functions.
P. 291-298
Sect: 4.1 p. 236-244
Sect: 4.3 p. 252-258
4
Spiral Review: Teacher
selected from Units 1, 2, HSAP
and SAT/ACT.
Lesson: 1) Use the
discriminant to determine the
number and type of solutions
to a quadratic equations, 2) Use
the quadratic formula to solve
quadratic equations, 3)
Determine the roots of the
equation (zeros), maximum
point and minimum point
P. 282-290
P. 249-255
P. 291-298
P.359-365
Sect: 4.1 p. 236-244
Sect: 4.3 p. 252-258
Sect: 4.8 p. 292-298
2
Spiral Review: Teacher
selected from Units 1, 2, HSAP
and SAT/ACT.
Lesson: Simplify complex
numbers.
IA. 3.4
Use the discriminant to
determine the number and
type of solutions of a
quadratic equation.
IA. 3.3
Carry out a procedure to
solve quadratic equations
algebraically (including
factoring, completing the
square, and the quadratic
formula, including zeros,
maximums, and minimums)
of polynomial functions.
IA. 3.1
Carry out a procedure to
simplify expressions
involving powers of I.
P. 315-319
Sect: 4.6 p. 275- 282
Textbook
Correlation
Outside
Resources
Activities
Alignment to
McDougal Littell
(new version)
5
Teaching
Days
Lesson
3
Spiral Review: Teacher
selected from Units 1, 2, HSAP
and SAT/ACT.
Lesson: Perform operations on
complex numbers.
IA 3.2
Carry out a procedure to
operations with complex
numbers including addition,
subtraction, multiplication,
and division.
P. 273, 315,
274, 315
Sect: 4.6 p. 275- 282
2
Spiral Review: Teacher
selected from Units 1, 2, HSAP
and SAT/ACT.
Lesson: Use quadratic
equations to solve real world
problems.
P. 261, 262,
288
Sect: 4.8 p. 298-292
2
Bell Work/Spiral Review:
Teacher selected from Units 1,
2, HSAP, SAT/ACT.
Lesson: Given the roots of a
quadratic equation, write the
equation.
Bell Work/Spiral Review:
Teacher selected form Units 1,
2, HSAP, SAT/ACT.
Lesson: Solve a system of a
quadratic equation and a linear
equation.
Review for Unit 3 Test
Unit 3 Test
IA. 3.5
Analyze given information,
including quadratic models,
to solve contextual problems.
IA.4.4
Analyze given information,
including polynomial models,
to solve contextual problems.
I.A. 3.6
Carry out a procedure to write
an equation of a quadratic
function given its roots.
IA.2.11
Carry out a procedure to
solve a system of equations,
including one linear function
and one quadratic function.
Teacher will
need outside
resources.
2
1
1
State Indicator
Textbook
Correlation
P. 635
Bellwork/Spiral Review:
Teacher selected from Units 1-
Activities
Alignment to
McDougal Littell
(new version)
Sect: 4.10
p. 309- 315
Sect: 4.9 p. 300- 307
-------
Unit 4
3
Outside
Resources
IA. 2.5- Carry out procedures
to perform operations on
P. 415-420
Sect: 6.3 p. 428-434
6
Teaching
Days
3
3
Lesson
State Indicator
3, HSAP, SAT/ACT
Lesson: Perform operations
on polynomial functions
(including f(x) + g(x), f(x) –
g(x), f(x)  g(x), f(x)/g(x).
Bellwork/Spiral Review:
Teacher selected from Units 13, HSAP, SAT/ACT.
Lesson: Write the equation of
a composition of given
functions.
Bellwork/Spiral Review:
Teacher selected from Units 13, HSAP, ACT/SAT.
Lesson: With and without a
graphing calculator, graph
translations of parent functions
2
(including y = x, y = x ,
x , y= x , and y=
y=
3
2
Outside
Resources
Activities
Alignment to
McDougal Littell
(new version)
polynomial functions
(including f(x) + g(x), f(x) –
g(x), f(x)  g(x), f(x)/g(x).
IA.2.6- Apply a procedure to
write the equation of a
composition of given
functions.
IA.2.7- Carry out a procedure
to graph translations of parent
functions (including y = x,
2
y = x , y=
y=
P. 415-420
Sect: 6.3 p. 428-434
p.121-129
p. 448
p. 559
x , y= x , and
1
).
x
1
).
x
Bellwork/Spiral Review:
Teacher selected from Units 13, HSAP, SAT/ACT.
Lesson: With and without a
graphing calculator, graph
transformation of parent
functions (including y=x,
y=x , and y =
Textbook
Correlation
IA. 2.8- Carry out a
procedure to graph
transformations of parent
functions (including y=x,
2
y=x , and y =
p. 126
x ).
x ).
1
Review for Unit 4 Test
---
1
Unit 4 Test
---
7
Teaching
Days
Lesson
State Indicator
Textbook
Correlation
Outside
Resources
Activities
Alignment to
McDougal Littell
(new version)
---
Unit 5
3
1
Bellwork/Spiral Review:
Teacher selected from Units 14, HSAP, SAT/ACT.
Lesson: Simplify algebraic
expressions that involve
rational exponents.
Bellwork/Spiral Review:
Teacher selected from Units 14, SAT/ACT, HSAP.
Lesson: Perform operations
with expressions involving
rational exponents (including
addition, subtraction,
multiplication, division, and
exponentiation).
Bellwork/Spiral Review:
Teacher selected from Units 14, HSAP, SAT/ACT.
Lesson: Perform operations
with expressions involving
rational exponents (including
addition, subtraction,
multiplication, division, and
exponentiation).
Bellwork/Spiral Review:
Teacher selected from Units 14, HSAP, SAT/ACT.
Lesson: Solve rational
equations algebraically.
Review for Unit 5 Test
1
Unit 5 Test
5
5
3
IA.4.5- Carry out a procedure
to simplify algebraic
expressions involving rational
expressions.
P.401-414
Sect: 6.1 p. 414- 419
IA. 4.7- Carry out a
procedure to perform
operations with expressions
involving rational exponents
(including addition,
subtraction, multiplication,
division, and exponentiation).
P. 404-414
Sect: 6.2
p. 420- 427
IA. 4.8- Carry out a
procedure to perform
operations with rational
expressions (including
addition, subtraction,
multiplication, division, and
exponentiation).
P. 554-567
Sect: 6.2
p. 420- 427
IA.4.12- Carry out a
procedure to solve rational
equations algebraically.
P. 568-574
Sect: 8.6 p. 589-595
-----
8
Teaching
Days
Lesson
State Indicator
Textbook
Correlation
Bellwork/Spiral Review:
Teacher selected from Units 15, HSAP, ACT/SAT.
Lesson: With and without a
graphing calculator, graph the
circle whose equation is in the
2
2
2
2
Activities
Alignment to
McDougal Littell
(new version)
---
Unit 6
2
Outside
Resources
IA.5.1- Carry out a procedure
to graph the circle whose
equation is in the form
P.623-629
Sect: 9.3 p. 626- 632
IA.5.2- Carry out a procedure
to write an equation of a
circle centered at the origin
when given its radius.
P. 623-629
Sect: 9.3 p. 626- 632
IA. 5.3- Carry out a
procedure to graph the ellipse
whose equation is the form of
P. 623-629
Sect: 9.4 p. 634- 639
P.623-629
Sect: 9.4 p. 634- 639
2
2
2
x +y =r .
2
form of x + y = r (do only
circles whose centers are at the
origin).
Bellwork/Spiral Review:
Teacher selected from Units 15, HSAP, ACT/SAT.
Lesson: Write the equation of
the circle with its center at the
origin when given its radius.
Bellwork/Spiral Review:
Teacher selected from Units 15, HSAP, ACT/SAT.
Lesson: With and without a
graphing calculator graph the
ellipse whose equation is in the
x2
y2
+
= 1.
a2
b2
x2
y2
form of 2 + 2 = 1.
a
b
2
Bellwork/Spiral Review:
Teacher selected from Units 15, HSAP, SAT/ACT.
Lesson: Write the equation of
an ellipse centered at the origin
when given information from
among length of major axis,
IA.5.4- Carry out a procedure
to write an equation of an
ellipse centered at the origin
when given information from
among length of major axis,
length of minor axis, and
vertices.
9
Teaching
Days
2
Lesson
length of minor axis, and
vertices.
Bellwork/Spiral Review:
Teacher selected from Units 15, HSAP, ACT/SAT.
Lesson: With and without a
graphing calculator, graph the
hyperbola whose equation is in
the form
2
IA.5.5 –Carry out a
procedure to graph the
hyperbola whose equation is
Textbook
Correlation
1
1
Unit 6 Test
5
Activities
Alignment to
McDougal Littell
(new version)
P.623-629
Sect: 9.5 p.642- 648
IA.5.6- Carry out a procedure
to write an equation of a
hyperbola centered at the
origin with specified vertices.
P. 623-629
Sect: 9.5 p.642- 648
IA.5.7- Match the equation of
a conic section with its graph.
Outside
Resources
Sect: 9.6 p. 650-657
the form
x2 y2
=1.
a 2 b2
-------
Unit 7
4
Outside
Resources
x2 y2
=1.
a 2 b2
Bellwork/Spiral Review:
Teacher selected from Units 15, HSAP, SAT/ACT.
Lesson: Write the equation of
a hyperbola centered at the
origin with specified vertices.
Bellwork/Spiral Review:
Teacher selected from Units 15, HSAP, SAT/ACT.
Lesson: Match the equation of
a conic section with its graph.
Review for Unit 6 Test
2
State Indicator
Bellwork/Spiral Review:
Teacher selected from Units 16, HSAP, ACT/SAT.
Lesson: Simplify square roots
to lowest terms.
Bellwork/Spiral: Teacher
selected from Units 1-6,
District Curriculum
P.264-267
District Curriculum
P. 407-414
10
Teaching
Days
Lesson
1
HSAP, SAT/ACT.
Lesson: Perform operations
(addition, subtraction,
multiplication, and division) on
square roots (include conjugate
on radical expressions).
Bellwork/Spiral Review:
Teacher selected from Units 16, HSAP, SAT/ACT.
Lesson: Solve radical
equations algebraically.
Review for Unit 7 Test
1
Unit 7 Test
4
State Indicator
IA.4.9- Carry out a procedure
to solve radical equations
algebraically.
Textbook
Correlation
3
2
2
Activities
Alignment to
McDougal Littell
(new version)
P. 437-443,
458
-------
Unit 8
2
Outside
Resources
Bellwork/Spiral Review:
Teacher selected from Units 17, SAT/ACT, HSAP.
Lesson: Graph logarithmic
functions.
Bellwork/Spiral Review:
Teacher selected from Units 17, SAT/ACT, HSAP.
Lesson: Graph exponential
function.
Bellwork/Spiral Review:
Teacher selected from Units 17, HSAP, SAT/ACT.
Lesson: Solve logarithmic
equations graphically.
Bellwork/Spiral Review:
Teacher selected from Units
1-7, HSAP, SAT/ACT.
IA. 4.13- Carry out a
procedure to graph
logarithmic functions.
P. 500, 525
Sect: 7.4 p. 499-506
IA.4.14- Carry out a
procedure to graph
exponential functions.
P. 508-516
Sect: 7.1 p. 478-485
Sect: 7.2 p. 486-491
IA.4.11- Carry out a
procedure to solve
logarithmic equations
graphically.
P.486-500
Sect: 7.4 p. 499-506
p. 514
IA.4.6- Carry out a procedure
to simplify algebraic
expressions involving
Sect:7.5 p. 507-513
11
Teaching
Days
Lesson
1
Lesson: Simplify algebraic
expressions involving
logarithms.
Bellwork/Spiral Review:
Teacher selected from Units 17, HSAP, SAT/ACT.
Lesson: Solve logarithmic
equations algebraically.
Review for Unit 8 Test
1
Unit 8 Test
3
State Indicator
Textbook
Correlation
3
3
Activities
Alignment to
McDougal Littell
(new version)
logarithms.
IA.4.10- Carry out a
procedure to solve
logarithmic equations
algebraically.
P. 501-508
Sect: 7.6 p.515-522
-------
Unit 9
3
Outside
Resources
Bellwork/Spiral Review:
Teacher selected from Units 18, HSAP, SAT/ACT.
Lesson: Categorize a sequence
as arithmetic, geometric, or
neither.
Bellwork/Spiral Review:
Teacher selected from Units 18, HSAP, SAT/ACT.
Lesson: Write a specified
term of an arithmetic or
geometric sequence when
given the nth term of the
sequence.
Bellwork/Spiral Review:
Teacher selected from Units 18, HSAP, ACT/SAT.
Lesson: Write a formula for
the nth term of an arithmetic or
geometric sequence when
given at least four consecutive
IA. 6.1- Categorize a
sequence as arithmetic,
geometric, or neither.
P. 659-665,
693, 651-658,
666-673, 675,
680
Chapter 12
p. 794- 837
IA.6.2- Carry out a procedure
to write a specified term of an
arithmetic or geometric
sequence when given the nth
term of the sequence.
P. 659-665,
693, 651-658,
666-673, 675,
680
Chapter 12
p. 794- 837
IA. 6-3- Carry out a
procedure to write a formula
for the nth term of an
arithmetic or geometric
sequence when given at least
four consecutive terms of the
sequence.
P. 659-665,
693, 651-658,
666-673, 675,
680
Chapter 12
p. 794- 837
12
Teaching
Days
Lesson
State Indicator
Textbook
Correlation
Outside
Resources
Activities
Alignment to
McDougal Littell
(new version)
IA. 6.4- Carry out a
procedure to write a formula
for the nth term of an
arithmetic or geometric
sequence when given at least
four terms of the sequence.
P. 659-665,
693, 651-658,
666-673, 675,
680
Chapter 12
p. 794- 837
IA.6-5- Represent an
arithmetic or geometric series
by using sigma notation.
P. 659-665,
693, 651-658,
666-673, 675,
680
Chapter 12
p. 794- 837
IA.6.6- Carry out a procedure
to calculate the sum of
arithmetic or geometric series
written in sigma notation.
P. 659-665,
693, 651-658,
666-673, 675,
680
Chapter 12
p. 794- 837
IA. 6.7- Carry out a
procedure to determine
consecutive terms of a
sequence that is defined
recursively.
P.681- 688
Chapter 12
p. 794- 837
IA.6.8- Carry out a procedure
to define a sequence
recursively when given four
or more consecutive terms of
P.681- 688
Chapter 12
p. 794- 837
terms of the sequence.
2
2
2
2
2
Bellwork/Spiral Review:
Teacher selected from Units 18, HSAP, SAT/ACT.
Lesson: Write a formula for
the nth term of an arithmetic or
geometric sequence when
given at least four terms of the
sequence.
Bellwork/Spiral Review:
Teacher selected from Units 18, HSAP, SAT/ACT.
Lesson: Represent an
arithmetic or geometric series
by using sigma notation.
Bellwork/Spiral Review:
Teacher selected from Units 18, HSAP, SAT/ACT.
Lesson: Calculate the sum of
an arithmetic or geometric
series written in sigma
notation.
Bellwork/Spiral Review:
Teacher selected from Units 18, HSAP, ACT/SAT.
Lesson: Determine
consecutive terms of a
sequence that is defined
recursively.
Bellwork/Spiral Review:
Teacher selected from Units 18, HSAP, SAT/ACT.
Lesson: Define a sequence
13
Teaching
Days
Lesson
1
recursively when given four or
more consecutive terms of the
sequence.
Bellwork/Spiral Review:
Teacher selected from Units 18, HSAP, SAT/ACT.
Lesson: Translate between the
specific form and the recursive
form of sequences.
Review for Unit 9 Test
1
Unit 9 Test
2
State Indicator
Textbook
Correlation
Outside
Resources
Activities
Alignment to
McDougal Littell
(new version)
the sequence.
IA. 6.9- Translate between
the specific form and the
recursive forms of sequences.
P.681- 688
Chapter 12
p. 794- 837
-----
14