# Algebra II Curriculum Framework - raymondleemath

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2 Φεβ 2013 (πριν από 5 χρόνια και 3 μήνες)

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Algebra
I
I

Curriculum Framework

Sugge
sted

Pacin
g

Themes/Concepts/Big Ideas

Standards
-
based Essential Skills

Formative/Summative
Assessments

(Writing Assignments,
Projects, Performances)

Instructional Strategies

Resources

Beginning of Year Review

20

days

Preparing for
Algebra:

Representing Functions

FOIL

Factoring Polynomials

The Counting Principle

Permutations and
Combinations

Congruent and Similar
Figures

The Pythagorean
Theorem

Use the four
-
step problem
-
solving
plan

Identify the domain
and range of
functions

Use the FOIL method to multiply
binomials

Use various techniques to factor
polynomials

Use the Fundamental Counting
Principle to find outcomes involving
independent and dependent events

Solve problems involving
permutations and combi
nations

Identify and use congruent and similar
figures

Use the Pythagorean Theorem and its
converse

Diagnostic
assessment

Real world
connection
/example
s

Teach with TECH

Practice/review
activities

Problem solving
activities

Post
-
test

Activate prior
knowledge

Scaffolding questions

K
-
W
-
L

Cooperative learning

Response cards

Reciprocal teaching

Writing to Learn
strategies

Vocabulary notecards

Lesson summaries

Journal prompts

E
ntrance/e
xit tickets

Graphic organizers

Visualization

Four
-
step problem
solving

Differentiated
activities

Glencoe McGraw
-
Hill Algebra I
I

(2010) student and teacher editions

Research
-
Based Strategies:
Narrowing the Achievement Gap for
Under
-
Resourced Students
by Ruby
Payne, Ph.D.

Online teacher resources:
http://glencoe.mcgraw
-
hill.
com/sites/0078884829/student_vi
ew0/

Online student edition:
http://connected.mcgraw
-

Math websites (see attachment)

Personal Tutor

Virtual
manipulatives/calculator

Math journals

Sugge
sted

Pacin
g

Themes/Concepts/Big Ideas

Standards
-
based Essential Skills

Formative/Summative
Assessments

(Writing Assignments,
Projects, Performances)

Instructional Strategies

Resources

Unit

1

40

days

Linear Relations and Functions

Equations and Inequalities

Expressions and Formulas

Properties of Real
Numbers

Solving Equations

Solving Absolute Value
Equations

Solving Inequalities

Solving Compound
and
Absolute Value
Inequalities

Linear Functions and Relations

Relations and Functions

Linear Relations and
Functions

Rate of Change and Slope

Writing Linear Equations

Scatter Plots and Lines of
Regression

Special Functions

Parent Functions and
Transforma
tions

Graphing Linear and
Absolute Value
Inequalities

Systems of Equations and
Inequalities

Solving Systems of
Equations by Graphing

Solving Systems of
Equations Algebraically

Solving Systems of
Inequalities by Graphing

Optimization with Linear
Programming

Equations and Inequa
lities

Use the properties of real numbers to
evaluate expressions and formulas

Classify real numbers

Use the properties of equality to solve
equations

Solve absolute value equations

Solve inequalities, compound
inequalities, and absolute value
inequalities

Linear Functions and Relations

Identify the mathematical domains
and ranges of functions and determine
reasonable domain and range values
for continuous and discrete situations

Identify and sketch graphs of parent
functions, including linear functions
(f(x)=x)
and absolute value functions
(f(x)=
׀
x
׀
)

Collect and organize data, make and
interpret scatter plots, fit the graph of
a function to the data, interpret the
results, and proceed to model, predict,
and make decisions and critical
judgments

Graph lin
ear and absolute value
inequalities

Systems of Equations and Inequalities

Analyze situations and formulate
systems of equations in two or more
unknowns to solve problems

Use algebraic methods, graphs, or
tables to solve systems of equations or
inequalitie
s

Interpret and determine the
reasonableness of solutions to systems
of equations for given contexts

Diagnostic
assessment

Real
-
world
connection
/example
s

Check your
understanding

Practice and
problem solving

H.O.T. problems

Watch Out!

Spiral review

Skills review

Standardized test
practice

Algebra L
ab

Graphing
Technology Lab

Enrichment
activities

Mid
-
chapter q
uiz

Practice test

Chapter/Unit test

Chapte
r 1 Project:

Chapter 2 Project:
Up and Down the
Mountain

Chapter 3 Project:
Breaking Even

Chapter 4 Project:
Animation

Activate prior
knowledge

Scaffolding
questions

K
-
W
-
L

Cooperative learning

Reciprocal teaching

Peer tutoring

Writing to Learn
strategies

E
ntrance/e
xit tickets

Graphic organizers

Visualization

Four
-
step problem
solving

Differentiated
activities

Glencoe McGraw
-
Hill Algebra II
(2010) student and
teacher editions

Research
-
Based Strategies:
Narrowing the Achievement Gap for
Under
-
Resourced Students
by Ruby
Payne, Ph.D.

Online teacher resources:
http://glencoe.mcgraw
-
hill.com/sites/0078884829/student_vi
ew0/

Online student edition:
http://connected.mcgraw
-

Math websites (see attachment)

Personal Tutor

Virtual manipulatives/calculator

Math journals

Sugge
sted

Pacin
g

Themes/Concepts/Big Ideas

Standards
-
based Essential Skills

Formative/Summative
Assessments

(Writing Assignments,
Projects, Performances)

Instructional Strategies

Resources

Unit

2

38

days

Functions and Relations

Relations

Functions

Equations by Graphing

Equations by Factoring

Complex Numbers

Completing the Square

and the Discriminant

Transformations with

Polynomials and Polynomial
Functions

Operations with
Polynomials

Dividing Polynomials

Polynomial Functions

Analyzing Graphs of
Polynomial Functions

Solving Polynomial
Equations

The Remainder
and
Factor Theorems

Roots and Zeros

Rational Zero Theorem

and Relations

Operations on Functions

Inverse Functions and
Relations

Determine reasonable domain and

Analyze situations involving
to
solve problems

inequalities using graphs, tables, and
algebraic methods, including the

Use complex numbers to describe the

Determine a quadratic function and its
roots

Ide
ntify and sketch graphs of parent
functions

Use the parent function to investigate,
describe, and predict the effects of
changes in
a, h,
and
k
on the graphs of
the
y+a(x
-
h)
²
+k

form of a function

Polynomial and Polynomial Fu
nctions

Use tools including factoring and
properties of exponents to simplify
expressions and to transform and
solve equations

Identify the mathematical domains
and ranges of functions

Determine the reasonable domain and
range values for continuous
situations

Inverses and Radical Functions and Relations

Relate representations of square root
functions

Connect inverses of square root

 Determine solutions of square root

Diagnostic
assessment

Real
-
world
connection
/example
s

Check your
understanding

Practice and
problem solving

H.O.T. problems

Watch Out!

Spiral review

Skills review

Standardized test
practice

Algebra L
ab

Graphing
Technology Lab

Enrichment
activities

Mid
-
chapter quiz

Practice test

Chapter/Unit test

Chapter 5 P
roject:
How High Will It
Go?

Chapt
er 6 Project:
Vehicles in Motion

Cha
pter 7 Project:
Saving for College

Activate prior
knowledge

Scaffolding questions

K
-
W
-
L

Cooperative learning

Response cards

Reciprocal teaching

Writing to Learn
strategies

E
ntrance/e
xit tickets

Graphic organizers

Visualization

Four
-
step problem
solving

Differentiated
activities

Glencoe McGraw
-
Hill Algebra II
(2010) student and teacher editions

Research
-
Based Strategies:
Narrowing the Achievement Gap for
Under
-
Resourced Students
by Ruby
Payne, Ph.D.

Online teacher resources:
http://glencoe.mcgraw
-
hill.c
om/sites/0078884829/student_vi
ew0/

Online student edition:
http://connected.mcgraw
-

Math websites (see attachment)

Personal Tutor

Virtual manipulatives/calcula
tor

Math journals

Sugge
sted

Pacin
g

Themes/Concepts/Big Ideas

Standards
-
based Essential Skills

Formative/Summative
Assessments

(Writing Assignments,
Projects, Performances)

Instructional Strategies

Resources

Unit 3

37

days

Relations

Exponential
and Logarithmic
Functions and Relations

Graphing Exponential
Functions

Solving Exponential
Equations and
Inequalities

Logarithms and
Logarithmic Functions

Solving Logarithmic
Equations and
Inequalities

Properties of Logarithms

Common Logarithms

Base
e

and Natural
Logarithms

Using Exponential and
Logarithmic Functions

Rational Functions and Relations

Multiplying and Dividing
Rational Expressions

Rational
Expressions

Graphing Reciprocal
Functions

Variation Functions

Solving Rational
Equations and
Inequalities

Conic Sections

Midpoints and Distance
Formulas

Parabolas

Circles

Exponential and Logarithmic Functions and
Relations

Analyze a situation modeled by an
exponential function, formulate an
equation or inequality, and solve the
problem

Develop the definition of logarithms
by exploring and describing the
relationships betwee
n exponential
functions and their inverses

Use parent functions to investigate,
describe, and predict the effects of
parameter changes on the graphs of
exponential and logarithmic functions,
describe limitations on the domains
and ranges, and examine asymp
totic
behavior

Determine solutions of exponential
and logarithmic equations using
graphs, tables, and algebraic methods

Interpret and determine the
reasonableness of solutions to
exponential and logarithmic equations
and inequalities

Rational Functions an
d Relations

Determine the properties of reciprocal
functions and graph their
transformations

Use quotients of polynomials to
describe the graphs of rational
functions, describe limitations on the
domains and ranges, and examine
asymptotic behavior

Determin
e the reasonable domain and
range values of rational functions and
determine the reasonableness of
solutions to rational equations and
inequalities

Analyze a situation modeled by

Diagnostic
assessment

Real
-
world
connection/example
s

Check your
under
standing

Practice and
problem solving

H.O.T. problems

Watch Out!

Spiral review

Skills review

Standardized test
practice

Algebra L
ab

Graphing
Technology Lab

Enrichment
activities

Mid
-
chapter quiz

Practice test

Chapter/Unit test

Chapter 8 Project:
Measuring

Sound

Chapter 9 Project:
A Plane Trip

Chapter 10 Project:
Celestial Orbits

Activate prior
knowledge

Scaffolding questions

K
-
W
-
L

Cooperative learning

Response cards

Reciprocal teaching

Writing to Learn
strategies

Entrance/exit tickets

Graphic organizers

Visualization

Four
-
step problem
solving

Differentiated
activities

Glencoe McGraw
-
Hill Algebra II
(2010) student and teacher editions

Research
-
Based Strategies:
Narrowing the Achievement Gap for
Under
-
Resourced Students
by Ruby
Payne, Ph.D.

Online teacher
resources:
http://glencoe.mcgraw
-
hill.com/sites/0078884829/student_vi
ew0/

Online student edition:
http://connected.mcgraw
-

Math websites (see attachment)

Pers
onal Tutor

Virtual manipulatives/calculator

Math journals

Sugge
sted

Pacin
g

Themes/Concepts/Big Ideas

Standards
-
based Essential Skills

Formative/Summative
Assessments

(Writing Assignments,
Projects, Performances)

Instructional Strategies

Resources

Unit 4

24

days

Discrete Mathematics

Sequences and Series

Sequences as Functions

Arithmetic Sequences and
Series

Geometric Sequences and
Series

Infinite Geometric Series

Recursion and Iteration

The

Binomial Theorem

Proof by Mathematical
Induction

Probability and Statistics

Experiments, Surveys,
and Observational Studies

Statistical Analysis

Conditional Probability

Probability and
Probability Distributions

The Normal Distribution

Hypothesis Testing

Binomial Distributions

Sequences and Series

Relate arithmetic sequences to linear
functions and relate geometric
sequences to exponential functions

Find specific terms and sums of
arithmetic and geometric series

Find the sum of an infinite geometric
serie
s and write repeating decimals as
fractions

Recognize and use special sequences
and iterate functions

Use Pascal’s triangle and the
Binomial Theorem to expand powers
of binomials

Use mathematical induction to prove
statements

Probability and Statistics

Us
e combinations and permutations to
find probability and use them to solve
problems

Find probabilities of two independent
and two dependent events

Find the probability of mutually
exclusive and inclusive events

Use a measure of central tendency to
represent

a set of data and find
measures of variation for a set of data

Determine whether a sample is biased
and find margins of sampling and
error

Create and use graphs of probability
distributions

Solve problems involving normally
distributed data

Use binomial
expressions to find
probability

Identify and calculate conditional
probabilities

Diagnostic
assessment

Real
-
world
connection/example
s

Check your
understanding

Practice and
problem solving

H.O.T. problems

Watch Out!

Spiral review

Skills review

Standardize
d test
practice

Algebra Lab

Graphing
Technology Lab

Enrichment
activities

Mid
-
chapter quiz

Practice test

Chapter/Unit test

Chapter 11 Project:
Animal Populations

Chapter 12 Project:
Educational
Statistics

Activate prior
knowledge

Scaffolding questions

K
-
W
-
L

Cooperative learning

Response cards

Reciprocal teaching

Writing to Learn
strategies

Entrance/exit tickets

Graphic organizers

Visualization

Four
-
step problem
solving

Differentiated
activities

Glencoe McGraw
-
Hill Algebra II
(2010) student and teacher e
ditions

Research
-
Based Strategies:
Narrowing the Achievement Gap for
Under
-
Resourced Students
by Ruby
Payne, Ph.D.

Online teacher resources:
http://glencoe.mcgraw
-
hill.com/sites/0078884829/student_vi
ew0/

Online student edition:
http://connected.mcgraw
-

Math websites (see attachment)

Personal Tutor

Virtual manipulatives/calculator

Math journals

Sugge
sted

Pacin
g

Themes/Concepts/Big Ideas

Standards
-
based Essential Skills

Formative/Summative
Assessments

(Writing Assignments,
Projects, Performances)

Instructional Strategies

Resources

Unit 5

23

days

Trigonometry

Trigonometric Functions

Trigonometric

Functions
in Right Angles

Angles and Angle
Measures

Trigonometric Functions
of General Angles

Law of Sines

Law of Cosines

Circular Functions

Translations of
Trigonometric Graphs

Inverse Trigonometric
Functions

Trigonometric Identities and
Equations

Trigonometric Identities

Verifying Trigonometric
Identities

Sum and Difference of
Angles Identities

Double
-
Angle and Half
-
Angle Identities

Solving Trigonometric
Equations

Trigonometric Functions

Explore trigonometric functions, first
in acute angles in sta
ndard form, and
also for points on the unit circle

Derive and use the Law of Sines and
the Law of Cosines as applications of
trigonometric functions

Develop inverses for the sine, cosine,
and tangent functions

Use the trigonometric functions to
explore amp
litude and period

Investigate phase shifts and vertical
shifts in the graphs of trigonometric
functions

Trigonometric Identities and Equations

Verify and use trigonometric
identities

Solve trigonometric identities

Solve trigonometric equations using
the
ideas of factoring, the zero
product property, trigonometric
inverses, and periodic behavior

Diagnostic
assessment

Real
-
world
connection/example
s

Check your
understanding

Practice and
problem solving

H.O.T. problems

Watch Out!

Spiral review

Skills review

S
tandardized test
practice

Algebra Lab

Graphing
Technology Lab

Geometry Lab

Enrichment
activities

Mid
-
chapter quiz

Practice test

Chapter/Unit test

Chapter 13 Project:
On the Water

Chapter 14 Project:
Electronics
Professions

Activate prior
knowledge

Scaffolding questions

K
-
W
-
L

Cooperative learning

Response cards

Reciprocal teaching

Writing to Learn
strategies

Entrance/exit tickets

Graphic organizers

Visualization

Four
-
step problem
solving

Differentiated
activities

Glencoe McGraw
-
Hill Algebra

II
(2010) student and teacher editions

Research
-
Based Strategies:
Narrowing the Achievement Gap for
Under
-
Resourced Students
by Ruby
Payne, Ph.D.

Online teacher resources:
http://glencoe.mcgraw
-
hill.com/sites/0078884829/student_vi
ew0/

Online student edi
tion:
http://connected.mcgraw
-

Math websites (see attachment)

Personal Tutor

Virtual manipulatives/calculator

Math journals