Guide to Daily Intervention

Transcription

Guide to Daily
Intervention
For use with
Glencoe Algebra 1
Glencoe Algebra 2
Glencoe/McGraw-Hill
abc
Copyright © by The McGraw-Hill Companies, Inc. All right reserved.
Printed in the United States of America. Permission is granted to
reproduce the material contained herein on the condition that such
material be reproduced only for classroom use; be provided to students,
teachers, and families without char; and be used solely in conjunction
with Glencoe Algebra or Glencoe Algebra 2. Any other reproduction, for
use or sale, is prohibited without prior written permission of the publisher.
Send all inquiries to:
Glencoe/McGraw-Hill
8787 Orion Place
Columbus, OH 43240-4027
ISBN: 0-07-827742-6
1
2 3
4 5
6 7 8
Guide to Daily Intervention
9 10
024 11 10 09 08 07
06 05 04
03
02
Contents
Teacher’s Guide to Using the Guide to Daily Intervention ............................................... iv
Daily Intervention in the Student Edition ........................................................................... 1
Daily Intervention in the Teacher Wraparound Edition...................................................... 2
Daily Intervention in the Teacher Classroom Resources .................................................... 3
Daily Intervention on the Internet ....................................................................................... 4
Daily Intervention with other Resources............................................................................. 5
Student Remediation Plan ................................................................................................... 6
Correlation of Glencoe Algebra 1 to Daily Intervention Resources ................................... 8
Correlation of Glencoe Algebra 2 to Daily Intervention Resources ................................. 36
©Glencoe/McGraw-Hill
iii
Glencoe Algebra 1 and 2
Teacher’s Guide to Using the Guide to Daily
Intervention
Today it is vital that students understand the mathematics that they are
learning. Using computers on the job, making good consumer choices,
evaluating information, and other life skills depend upon good
mathematics skills. Since no two students are exactly the same, in every
classroom there will be students of various abilities and skill levels. This
booklet focuses on ways that teachers can intervene to assist the struggling
student to improve his or her performance. Helping all students succeed in
mathematics and develop their mathematical reasoning skills is an
ambitious and worthwhile goal.
In order to ensure students’ success, teachers can follow a three-step
process of daily intervention.
1. Assessment of individual student needs Teachers need to evaluate
the needs of students in order to meet those needs.
2. Ongoing evaluation of student progress Monitoring students’
progress and understanding on a daily basis allows a teacher to head
off trouble.
3. Monitoring instructional activities to strengthen students’
weaknesses Providing opportunities for students to immediately
address any weaknesses ensures students’ continued success.
The Glencoe Algebra program includes tools for daily intervention in the Student
Edition, the Teacher Wraparound Edition, the Teacher Classroom Resources, the Internet,
and other products. Using these tools can help you help your students realize
mathematical success. The following pages detail each resource available and the
correlation shows how they are used in each lesson of Glencoe Algebra 1 and Glencoe
Algebra 2.
iv
Daily Intervention in the Student Edition
•
•
In the Getting Started section at the beginning of each
chapter in the Student Edition, the Prerequisite Skills
check students’ preparedness for the chapter. You can
check prior knowledge by reviewing prerequisite topics
and explaining how these prerequisite topics are related
to the current concept.
Additional practice of Prerequisite Skills is provided at
the end of each lesson with page references to help
students review the concepts. These exercises review
concepts and skills that will be applied in the next
lesson. The Prerequisite Skills section in the Student
Handbook the back of the Student Edition provides
explanation and practice of skills that are needed for
success in algebra.
Mini of Algebra 1 SE
p. 5
Algebra 1 Student Edition, p. 5
• You can use the Check for Understanding exercises in class
to ensure that all students understand the concepts.
• Concept Check Students communicate their
understanding of the concepts just taught by defining,
describing, and explaining mathematical concepts.
• Guided Practice These exercises present a
representative sample of the exercises in the Practice and
Apply section. A key is provided in the Teacher
Wraparound Edition that correlates the exercises to the
corresponding examples. Find the Error exercises help
students identify and address common errors before they
occur.
• Application Students have the opportunity to solve a
real-world or mathematical connection problem as a
check for understanding.
p. 13
•
•
Extra Practice, located in the back of the Student
Edition, provides additional, immediate practice with
the skills and concepts from each lesson.
Mixed Problem Solving, also in the back of the
Student Edition, includes numerous verbal problems
for students to reinforce their problem-solving skills.
1
p. 829
•
Daily Intervention in the
Teacher Wraparound Edition
Daily Intervention features provide suggestions for
addressing various learning styles and helping students
who are having difficulty.
• The Differentiated Instruction suggestions are
keyed to eight commonly-accepted learning styles.
• Unlocking Misconceptions suggestions help you
analyze where students make common errors so
you can point these trouble spots out to them.
Mini of Algebra 1 TWE
p. 85
Algebra 1 Teacher Wraparound
Edition, p. 85
p. 72
•
Each lesson ends with Open-Ended Assessment
strategies for closing the lesson and ensuring that
students understand and can apply the concepts.
These strategies for bringing closure to the lesson are
addressed through writing, modeling, and speaking.
Edition, p. 72
•
Teacher to Teacher features contain teaching
suggestions from teachers who are successfully
teaching Algebra 1 or Algebra 2 in their classrooms.
Suggestions include content tips, techniques, and
activities that can be used in intervention.
p. 99
Edition, p. 99
2
Daily Intervention in the Teacher Classroom
Resources
•
The Study Guide and Intervention masters found
in the Chapter Resource Masters summarize key
concepts for each objective and provide practice
exercises. These masters are also available as a
consumable Study Guide and Intervention
Workbook in English and Spanish. You may wish
to use these masters for additional instruction and
practice with individual students, in cooperative
groups, or in peer tutoring situations.
Show Study Guide and
Intervention master (Chapter 1
Resource Masters, p. 15)
Algebra 1 Chapter 1 Resource
Masters, p. 15
Show a 5-Minute Check
Transparency
•
5-Minute Check Transparencies with
Standardized Test Practice For each lesson,
there is a full-size transparency with questions
covering the previous lesson or chapter. Also
included on each transparency is a Standardized
Test Practice question. These provide an
excellent ongoing opportunity for checking
students’ understanding of the mathematics they
are learning.
Algebra 1 5-Minute Check
Transparency 5-1
•
Parents or guardians may need specific advice for
helping students make improvements. It may help
to engage in frequent correspondence, encourage
parental monitoring of homework, and provide
parents with a schedule of students’ assignments.
The Parent and Student Study Guide Workbook
contains a one-page worksheet for each lesson in
the Student Edition and a one-page review for each
chapter. This workbook offers an excellent
opportunity for students and parents to work
together to strengthen weaknesses and develop
mathematical understanding.
3
Show Parent and Student Study
Guide Workbook p. 11
Algebra 1 Parent and Student Study
Guide Workbook, p. 11
Daily Intervention on the Internet
•
Online Study Tools These comprehensive review and intervention tools are
available anytime, anyplace, simply by logging on to:
www.algebra1.com or www.algebra2.com
•
Self-Check Quizzes are available for every
lesson. Immediate feedback lets the student
know whether the answers are correct and
references specific pages and examples in
the Student Edition for review. Access the
Self-Check Quizzes directly at:
www.algebra1.com/self_check_quiz
or
www.algebra2.com/self_check_quiz
Show a screen-capture of an
extra example
•
Show a screen-capture of a selfcheck quiz (pick up from Alg 1
SE front matter, p. 1)
Extra Examples that mimic the ones in the Student
Edition are completely worked out and available for
students to review at:
www.algebra1.com/extra_examples
or
www.algebra2.com/extra_examples
You may wish to use these examples in reteaching or
to have students review areas of weakness.
Show a screen-capture of a
vocab review
•
Vocabulary Review lets you and your
students check their understanding of the terms
and definitions used in each chapter. Access
this game-style review at:
www.algebra1.com/vocabulary_review
or
www.algebra2.com/vocabulary_review
4
Daily Intervention with Other Resources
Show Prerequisite Skills
Workbook p. 75
Prerequisite Skills Workbook, p. 75
•
•
The Prerequisite Skills Workbook provides extra
practice on basic skills that are needed for success in
Algebra 1. You may use these pages to give students
an opportunity to review and refresh their skills.
Topics addressed include:
• Operations with Whole Numbers
• Operations with Decimals
• Operations with Fractions
• Measures in the Metric and Customary Systems
• Line Graphs
• Histograms
• Probability
The AlgePASS: Tutorial Plus and
Alge2PASS: Tutorial Plus CD-ROMs
provide an interactive, self-paced tutorial for
an Algebra 1 or Algebra 2 curriculum. The
lessons are correlated directly to Glencoe
Algebra 1 and Glencoe Algebra 2. Each lesson,
or concept, includes a pretest, tutorial, guided
practice, and post test. Students’ answers to the
pretests automatically determine whether the
tutorial is needed for that concept – without
taking teacher time to grade it. This software is
designed to identify and address student
weaknesses.
Show cover of Hot Words
•
Show a screen-capture of
AlgePASS
Hot Words, Hot Topics is Glencoe’s
mathematical handbook for students. The Hot
Words section includes a glossary of terms
while the Hot Topics section consists of
explanations of key mathematical concepts. An
exercise set is included to check students’
understanding of the concepts. This valuable
resource can be used as a reference in the
classroom or for home study.
5
Student Remediation Plan
Teacher Instructions
You can use the Student Remediation Plan template that follows to plan
for students who are in need of intervention/remediation. It can be used for
high stakes tests, if there is no formal remediation plan required by your
school or district. It can also be used for mid-semester reviews or projectbased work.
Purpose
•
•
To identify students’ specific problem areas and link them to steps that
can produce attainable results.
To provide a template to easily record remediation plans and use them
to communicate with students and/or parents.
Suggested Uses
•
•
•
Involve Students in their Remediation Plans.
Hold a teacher-student conference to go over the details of the
remediation plan. Make certain they understand what they are to do,
and have them sign a copy of their plan as a sign of good faith.
Involve Parents As Much As Possible.
You may also wish to involve parents in the remediation plan, if the
situation is appropriate. Like your students, make sure the parents
understand the steps their child should take to improve their
performance in your class.
Identify common steps and resources that can be used for different
levels of remedial study.
Try to identify several sets of steps and resources for at least two
different levels of student need. For example, you might identify a
course of action for students who need a small amount of extra work,
and one for those that need a great deal of extra study in the identified
academic area.
Then, as you identify students in need of intervention, you can choose
their level and the appropriate remediation plan. While you will
probably want to customize the plan per student, you will at least have
a defined set of steps with which to begin. After the semester ends,
you can then evaluate each plan's success rate and determine what can
be revised to improve each set of actions or resources.
6
Student Remediation Plan
Student _________________________ Teacher____________________________
Course __________________________ Date_______________________________
Topic/Project/Exam_____________________________
Problem Area
Solution Steps to Be Taken
7
Resources Needed
1-5
The Distributive
Property
1-4
Identity and
Equality
Properties
1-3
Open
Sentences
1-2
Order of
Operations
1-1
Variables and
Expressions
Student Edition
(lesson number
and title)
Chapter 1
Recognize the
properties of identity
and equality.
Use the properties
of identity and
equality.
Use the Distributive
Property to evaluate
expressions.
Use the Distributive
Property to simplify
expressions.
•
•
•
•
•
•
•
•
•
Write mathematical
expressions for verbal expressions.
Write verbal
expressions for
mathematical
expressions.
Evaluate numerical
expressions by
using the order of
operations.
Evaluate algebraic
expressions by
using the order of
operations.
Solve open sentence equations.
Solve open sentence inequalities.
•
Lesson Objectives
Tips for New
Teachers, 27
DI, Kinesthetic,
29
Find the Error, 29
DI, Intrapersonal,
22
DI, Naturalist, 17
Find the Error, 13
Unlocking
Misconceptions,
13
DI, Logical/
Mathematical,
15
DI, Verbal/
Linguistic, 7
Teacher
Wraparound
Edition
(topic, page)
The Language of Algebra
25, 26
19, 20
13, 14
7, 8
1, 2
Study Guide
and
Intervention,
CRM
(pages)
1-5
1-4
1-3
1-2
1-1
5-Minute
Check
Transparencies
(lesson)
5
4
3
2
1
Parent and
Student
Study Guide
Workbook
(page)
49, 50, 55,
56, 77, 78
1, 2, 5-12,
25, 26, 4750, 55-58,
61, 62
5-8, 11, 12,
21, 22, 25,
26, 55, 56
5-12, 21-24
9, 10
Prerequisite
Skills
Workbook
(pages)
1-5
1-4
1-3
1-2
1-1
Online
Study
Tools
(lesson)
1
AlgePASS:
Tutorial
Plus
(lesson)
1.2, 7.5
1.2, 6.3
2.4, 6.4,
6.6
1.3, 6.2
6.1, 6.3
Hot
Words,
Hot
Topics
(lesson)
•
•
•
•
•
•
•
1-9
Statistics:
Analyzing Data
by Using Tables
•
and Graphs
1-8
Graphs and
Functions
1-7
Logical
Reasoning
1-6
Commutative
and Associative
Properties
Recognize the
Commutative and
Associative
Properties.
Use the Commutative and Associative
Properties to simplify expressions.
Identify the hypothesis and conclusion in a conditional
statement.
Use a counterexample to show that
an assertion is false.
Interpret graphs of
functions.
Draw graphs of
functions.
Analyze data given
in tables and graphs
(bar, line, and
circle).
Determine whether
graphs are
misleading.
49, 50
43, 44
37, 38
31, 32
1-9
1-8
1-7
1-6
9
8
7
6
DI = Differentiated Instruction, CRM = Chapter Resource Masters
Unlocking
Misconceptions,
51
DI, Visual/
Spatial, 52
DI, Auditory/
Musical, 45
DI, Interpersonal,
38
DI, Visual/
Spatial, 33
95, 96
49, 50, 77,
78
1-9
1-8
1-7
1-6
2
4.2, 4.3
4.2, 6.7
2.8, 5.1,
5.2
1.2, 6.3
•
DI, Visual/
Interpret and
Spatial, 90
create line plots
and stem-and-leaf Unlocking
Misconceptions,
plots.
91
Analyze data
using mean,
median, and
mode.
•
2-5
Statistics:
Displaying and
Analyzing Data
DI, Kinesthetic,
85
Divide integers.
Divide rational
numbers.
DI, Logical, 81
DI, Visual/
Spatial, 75
Find the Error, 76
•
•
•
•
•
•
Unlocking
Misconceptions,
70
DI, Verbal/
Linguistic, 72
Teacher
Wraparound
Edition
(topic, page)
2-4
Dividing
Rational
Numbers
2-2
Adding and
Subtracting
Rational
Numbers
2-3
Multiplying
Rational
Numbers
Graph rational
numbers on a
number line.
Find absolute
values of rational
numbers.
Add integers and
rational numbers.
Subtract integers
and rational
numbers.
Multiply integers.
Multiply rational
numbers.
Lesson Objectives
Real Numbers
2-1
•
Rational
Numbers on the
Number Line
•
Student Edition
(lesson number
and title)
Chapter 2
99, 100
93, 94
87, 88
81, 82
75, 76
Study Guide
and
Intervention,
CRM
(pages)
2-5
2-4
2-3
2-2
2-1
5-Minute
Check
Transparencies
(lesson)
15
14
13
12
11
Parent and
Student
Study Guide
Workbook
(page)
15, 16, 19,
20, 25-28,
39, 40, 4750, 65, 66,
75, 76
15, 16, 19,
20, 29-32,
39, 40, 47,
48, 51-54,
63-66, 75, 76
15, 16, 61,
62, 75, 76
15, 16, 1924, 39, 40,
55-60, 65,
66, 75, 76
1-4, 15, 16,
19, 20, 45,
46, 55, 56,
63-66, 75, 76
Prerequisite
Skills
Workbook
(pages)
2-5
2-4
2-3
2-2
2-1
Online
Study
Tools
(lesson)
3
AlgePASS:
Tutorial
Plus
(lesson)
2.1, 4.2,
4.3, 4.4
1.5, 2.4,
2.6, 4.4
1.5, 2.4,
2.6
1.5, 2.3,
2.4, 2.6
1.5, 2.2,
2.3, 2.5
Hot
Words,
Hot
Topics
(lesson)
2-7
Square Roots
and Real
Numbers
2-6
Probability:
Simple
Probability and
Odds
•
•
•
•
111, 112
105, 106
2-7
2-6
17
16
Unlocking
Find the
Misconceptions,
probability of a
97
simple event.
Find the odds of a DI, Interpersonal,
98
simple event.
Find the Error, 99
Find square roots. DI, Intrapersonal,
Classify and order 107
real numbers.
75, 76
17, 18, 37,
38, 67-70,
99, 100
2-7
2-6
3.2
3.4, 4.5,
4.6
3-5
Solving
Equations with
the Variable on
Each Side
3-2
Solving
Equations by
Using Addition
and Subtraction
3-3
Solving
Equations by
Using
Multiplication
and Division
3-4
Solving MultiStep Equations
3-1
Writing
Equations
Student Edition
(lesson number
and title)
•
•
•
•
•
•
•
•
•
•
DI, Verbal/
Linguistic, 121
Unlocking
Misconceptions,
129
DI, Visual/
Spatial, 130
Tips for New
Teachers, 136
DI, Auditory/
Musical, 137
Find the Error,
138
Solve problems by DI, Logical, 144
working
backward.
Solve equations
involving more
than one
operation.
DI, Kinesthetic,
Solve equations
150
with the variable
on each side.
Solve equations
involving grouping
symbols.
Translate verbal
sentences into
equations.
Translate
equations into
verbal sentences.
Solve equations
by using addition.
Solve equations
by using
subtraction.
Solve equations
by using
multiplication.
Solve equations
by using division.
Lesson Objectives
Teacher
Wraparound
Edition
(topic, page)
Chapter 3 Solving Linear Equations
161, 162
155, 156
149, 150
143, 144
137, 138
Study Guide
and
Intervention,
CRM
(pages)
3-5
3-4
3-3
3-2
3-1
5-Minute
Check
Transparencies
(lesson)
23
22
21
20
19
Parent and
Student
Study Guide
Workbook
(page)
23, 24
77, 78
9-12, 51, 52
21, 22, 59,
60
Prerequisite
Skills
Workbook
(pages)
3-5
3-4
3-3
3-2
3-1
Online
Study
Tools
(lesson)
5
4
AlgePASS:
Tutorial
Plus
(lesson)
2.1, 6.4
6.2, 6.4
1.3, 6.4
2.4, 2.6,
6.4
2.3, 2.5,
6.1
Hot
Words,
Hot
Topics
(lesson)
3-9
Weighted
Averages
3-8
Solving
Equations and
Formulas
3-7
Percent of
Change
3-6
Ratios and
Proportions
•
•
•
•
•
•
•
•
Determine
whether two ratios
form a proportion.
Solve proportions.
Find percents of
increase and
decrease.
Solve problems
involving percents
of change.
Solve equations
for given
variables.
Use formulas to
solve real-world
problems.
Solve mixture
problems.
Solve uniform
motion problems.
185, 186
179, 180
173, 174
167, 168
3-9
3-8
3-7
3-6
27
26
25
24
DI, Logical, 173
DI, Intrapersonal,
168
DI, Naturalist,
161
Find the Error,
162
DI, Interpersonal
Learners, 157
81, 82
17, 18, 4144, 71, 72,
77, 78
27, 28, 67-74
3-9
3-8
3-7
3-6
7, 8
6
6.4, 6.5
6.2, 6.4
2.8, 6.4,
6.5
2.8, 6.5
•
•
4-4
Equations as
Relations
4-3
Relations
•
•
•
•
•
4-2
•
Transformations
on the
Coordinate
Plane
4-1
The Coordinate
Plane
Student Edition
(lesson number
and title)
Locate points on
the coordinate
plane.
Graph points on a
coordinate plane.
Transform figures
by using
reflections,
translations, dilations, and
rotations.
Transform figures
on a coordinate
plane by using reflections, translations, dilations,
and rotations.
Represent
relations as sets
of ordered pairs,
tables, mappings,
and graphs.
Find the inverse of
a relation.
Use an equation
to determine the
range for a given
domain.
Graph the solution
set for a given
domain.
Lesson Objectives
DI, Verbal/
Linguistic, 213
Find the Error,
215
DI, Auditory/
Musical, 206
Unlocking
Misconceptions,
198
DI, Visual/
Spatial, 199
DI, Verbal/
Linguistic, 196
Teacher
Wraparound
Edition
(topic, page)
231, 232
225, 226
219, 220
213, 214
Study Guide
and
Intervention,
CRM
(pages)
Chapter 4 Graphing Relations and Functions
4-4
4-3
4-2
4-1
5-Minute
Check
Transparencies
(lesson)
32
31
30
29
Parent and
Student
Study Guide
Workbook
(page)
Prerequisite
Skills
Workbook
(pages)
4-4
4-3
4-2
4-1
Online
Study
Tools
(lesson)
AlgePASS:
Tutorial
Plus
(lesson)
6.4, 6.7
6.7
6.7, 7.3
6.2, 6.7
Hot
Words,
Hot
Topics
(lesson)
4-8
Writing
Equations from
Patterns
4-7
Arithmetic
Sequences
4-6
Functions
•
•
•
•
•
•
4-5
•
Graphing Linear
Equations
•
Unlocking
Misconceptions,
219
Tips for New
Teachers, 220
DI, Kinesthetic,
220
DI, Interpersonal,
227
255, 256
249, 250
243, 244
237, 238
4-8
4-7
4-6
4-5
36
35
34
33
Determine
whether a relation
is a function.
Find function
values.
DI, Naturalist,
Recognize
235
arithmetic
Find the Error,
sequences.
236
Extend and write
formulas for
arithm??etic
sequences.
Look for a pattern. DI, Intrapersonal,
242
Write an equation
given some of the
solutions.
Determine
whether an
equation is linear.
Graph linear
equations.
5-8
4-8
4-7
4-6
4-5
10
9
6.1
6.7
1.5, 2.3,
6.7
6.2, 6.7
5-4
Writing
Equations in
Slope-Intercept
Form
5-3
Slope-Intercept
Form
5-2
Slope and
Direct Variation
5-1
Slope
Student Edition
(lesson number
and title)
•
•
•
•
•
•
•
•
Find the slope of a Unlocking
Misconceptions,
line.
257
Use rate of
Find the Error,
change to solve
259
problems.
DI, Kinesthetic,
260
Tips for New
Teachers, 262
DI,
Interpersonal,
Write and graph
266
direct variation
equations.
Solve problems
involving direct
variation.
DI, Visual/
Write and graph
linear equations in Spatial, 274
slope-intercept
form.
Model real-world
data with an
equation in slopeintercept form.
Write an equation DI, Logical, 282
of a line given the
slope and one
point on a line.
Write an equation
of a line given two
points on the line.
Lesson Objectives
Teacher
Wraparound
Edition
(topic, page)
299, 300
293, 294
287, 288
281, 282
Study Guide
and
Intervention,
CRM
(pages)
5-4
5-3
5-2
5-1
5-Minute
Check
Transparencies
(lesson)
Chapter 5 Solving Systems of Linear Equations and Inequalities
41
40
39
38
Parent and
Student
Study Guide
Workbook
(page)
29, 30
39, 40, 63,
64
Prerequisite
Skills
Workbook
(pages)
5-4
5-3
5-2
5-1
Online
Study
Tools
(lesson)
11
AlgePASS:
Tutorial
Plus
(lesson)
1.5, 6.8
6.7, 6.8
6.4, 6.8
2.4, 6.8
Hot
Words,
Hot
Topics
(lesson)
5-7
Statistics:
Scatter Plots
and Lines of Fit
5-6
Geometry:
Parallel and
Perpendicular
Lines
5-5
Writing
Equations in
Point-Slope
Form
•
•
•
•
•
•
Write the equation
of a line in pointslope form.
Write linear
equations in
different forms.
Write an equation
of the line that
passes through a
given point,
parallel to a given
line.
Write an equation
of the line that
passes through a
given point,
perpendicular to a
given line.
Interpret points on
a scatter plot.
Write equations
for lines of fit.
317, 318
311, 312
305, 306
5-7
5-6
5-5
44
43
42
DI, Intrapersonal,
304
DI, Naturalist,
294
DI, Verbal/
Linguistic, 288
Find the Error,
289
5-7
5-6
5-5
13
12
4.3
6.8
6.8
6-3
Solving
Multi-Step
Inequalities
6-2
Solving
Inequalities by
Multiplication
and Division
6-1
Solving
Inequalities by
Addition and
Subtraction
Student Edition
(lesson number
and title)
Solve linear
inequalities by
using
multiplication.
Solve linear
inequalities by
using division.
Solve linear
inequalities
involving more
than one
operation.
Solve linear
inequalities
involving the
Distributive
Property.
•
•
•
•
•
Solve linear inequalities by using
addition.
Solve linear
inequalities by
using subtraction.
•
Lesson Objectives
Tips for New
Teachers, 334
Unlocking
Misconceptions,
334
DI, Interpersonal,
335
DI, Verbal/
Linguistic, 320
Unlocking
Misconceptions,
321
Tips for New
Teachers, 323
DI, Kinesthetic,
327
Find the Error,
329
Teacher
Wraparound
Edition
(topic, page)
Chapter 6 Solving Linear Inequalities
355, 356
349, 350
343, 344
Study Guide
and
Intervention,
CRM
(pages)
6-3
6-2
6-1
5-Minute
Check
Transparencies
(lesson)
48
47
46
Parent and
Student
Study Guide
Workbook
(page)
Prerequisite
Skills
Workbook
(pages)
6-3
6-2
6-1
Online
Study
Tools
(lesson)
14
AlgePASS:
Tutorial
Plus
(lesson)
6.6
6.4, 6.6
6.4, 6.6
Hot
Words,
Hot
Topics
(lesson)
6-5
Solving Open
Sentences
Involving
Absolute Value
6-6
Graphing
Inequalities in
Two Variables
6-4
Solving
Compound
Inequalities
•
373, 374
367, 368
361, 362
6-6
6-5
6-4
51
50
49
Graph inequalities DI, Intrapersonal,
353
on the coordinate
plane.
Solve real-world
problems
involving linear
inequalities.
•
•
•
•
DI, Visual/
Solve compound
Spatial, 340
inequalities
containing the
word and and
graph their
solution sets.
Solve compound
inequalities
containing the
word or and graph
their solution sets.
DI, Logical, 346
Solve absolute
Find the Error,
value equations.
348
Solve absolute
value inequalities.
•
79, 80, 83,
84
6-6
6-5
6-4
15
6.4
6.6
7-3
Elimination
Using Addition
and Subtraction
7-2
Substitution
7-1
Graphing
Systems of
Equations
Student Edition
(lesson number
and title)
•
•
•
•
•
•
Determine
whether a system
of linear equations
has 0, 1, or
infinitely many
solutions.
Solve systems of
equations by
graphing.
Solve systems of
equations by
using substitution.
Solve real-world
problems
involving systems
of equations.
Solve systems of
equations by
using elimination
with addition.
Solve systems of
equations by
using elimination
with subtraction.
Lesson Objectives
DI, Kinesthetic,
383
Tips for New
Teachers, 384
Find the Error,
384
DI, Intrapersonal,
378
DI, Logical, 370
Unlocking
Misconceptions,
372
Teacher
Wraparound
Edition
(topic, page)
415, 416
409, 410
403, 404
Study Guide
and
Intervention,
CRM
(pages)
7-3
7-2
7-1
5-Minute
Check
Transparencies
(lesson)
Chapter 7 Solving Systems of Linear Equations and Inequalities
55
54
53
Parent and
Student
Study Guide
Workbook
(page)
27, 28
Prerequisite
Skills
Workbook
(pages)
7-3
7-2
7-1
Online
Study
Tools
(lesson)
16
AlgePASS:
Tutorial
Plus
(lesson)
6.2
6.2
6.4
Hot
Words,
Hot
Topics
(lesson)
7-5
Graphing
Systems of
Inequalities
7-4
Elimination
Using
Multiplication
•
•
•
•
427, 428
421, 422
7-5
7-4
57
56
Solve systems of DI, Verbal/
Linguistic, 389
equations by
using elimination
with multiplication.
Determine the
best method for
solving systems of
equations.
Solve systems of Find the Error,
396
inequalities by
DI, Interpersonal,
graphing.
396
Solve real-world
problems
involving systems
of inequalities.
7-5
7-4
17
6.6
8-4
Polynomials
8-3
Scientific
Notation
8-2
Dividing
Monomials
8-1
Multiplying
Monomials
Student Edition
(lesson number
and title)
Chapter 8
•
•
•
•
•
•
•
•
Multiply
monomials.
Simplify
expressions
involving powers
of monomials.
Simplify
expressions
involving the
quotient of
monomials.
Simplify
expressions
containing
negative
exponents.
Express numbers
in scientific
notation and
standard notation.
Find products and
quotients of
numbers
expressed in
scientific notation.
Find the degree of
a polynomial.
Arrange the terms
of a polynomial in
ascending or
descending order.
Lesson Objectives
Polynomials
Unlocking
Misconceptions,
433
DI, Auditory/
Musical, 434
Tips for New
Teachers, 426
DI, Kinesthetic,
426
DI, Naturalist,
419
Unlocking
Misconceptions,
421
Find the Error,
421
DI, Logical, 412
Find the Error,
413
Teacher
Wraparound
Edition
(topic, page)
473, 474
467, 468
461, 462
455, 456
Study Guide
and
Intervention,
CRM
(pages)
8-4
8-3
8-2
8-1
5-Minute
Check
Transparencies
(lesson)
62
61
60
59
Parent and
Student
Study Guide
Workbook
(page)
33-36
Prerequisite
Skills
Workbook
(pages)
8-4
8-3
8-2
8-1
Online
Study
Tools
(lesson)
20
19
18
AlgePASS:
Tutorial
Plus
(lesson)
6.2
3.3, 6.3
3.4
2.1
Hot
Words,
Hot
Topics
(lesson)
8-8
Special
Products
8-7
Multiplying
Polynomials
8-5
Adding and
Subtracting
Polynomials
8-6
Multiplying a
Polynomial by a
Monomial
•
•
•
•
•
•
•
•
497, 498
491, 492
485, 486
479, 480
8-8
8-7
8-6
8-5
66
65
64
63
DI, Interpersonal,
441
Find the Error,
441
DI, Visual/
Find the product
of a monomial and Spatial, 445
a polynomial.
Solve equations
involving
polynomials.
DI, Auditory/
Multiply two
binomials by using Musical, 453
the FOIL method.
Multiply two
polynomials by
using the
Distributive
Property.
Tips for New
Find squares of
Teachers, 459
sums and
DI, Verbal/
differences.
Linguistic, 460
Find the product
of a sum and a
difference.
Add polynomials.
Subtract
polynomials.
8-8
8-7
8-6
8-5
23
22
21
3.2, 3.4
6.2
6.2
9-4
Factoring
Trinomials:
ax2 + bx + c
9-3
Factoring
Trinomials:
x2 + bx + c
9-2
Factoring Using
the Distributive
Property
9-1
Factors and
Greatest
Common
Factors
Student Edition
(lesson number
and title)
Chapter 9
•
•
•
•
•
•
•
•
Find prime
factorizations of
integers and
monomials.
Find the greatest
common factors of
integers and
monomials.
Factor
polynomials by
using the
Distributive
Property.
Solve quadratic
equations of the
form ax2 + bx = 0.
Factor trinomials
of the form x2 + bx
+ c.
Solve equations of
the form x2 + bx +
c = 0.
Factor trinomials
of the form ax2 +
bx + c.
Solve equations of
the form ax2 + bx
+ c = 0.
Lesson Objectives
Factoring
DI, Interpersonal,
496
Unlocking
Misconceptions,
497
Find the Error,
498
DI, Kinesthetic,
490
Find the Error,
492
DI, Visual/
Spatial, 483
DI, Verbal/
Linguistic, 475
Teacher
Wraparound
Edition
(topic, page)
541, 542
535, 536
529, 530
523, 524
Study Guide
and
Intervention,
CRM
(pages)
9-4
9-3
9-2
9-1
5-Minute
Check
Transparencies
(lesson)
71
70
69
68
Parent and
Student
Study Guide
Workbook
(page)
13, 14
13, 14
13, 14
Prerequisite
Skills
Workbook
(pages)
9-4
9-3
9-2
9-1
Online
Study
Tools
(lesson)
26
24, 25
AlgePASS:
Tutorial
Plus
(lesson)
3.2
6.2
Hot
Words,
Hot
Topics
(lesson)
•
•
9-6
•
Perfect Squares
and Factoring
•
9-5
Factoring
Differences of
Squares
Factor binomials
that are the
differences of
squares.
Solve equations
involving the
differences of
squares.
Factor perfect
square trinomials.
Solve equations
involving perfect
squares.
553, 554
547, 548
9-6
9-5
73
72
DI, Logical, 510
Find the Error,
504
DI, Intrapersonal,
504
13, 14
9-6
9-5
27
10-3
Solving
Quadratic
Equations by
Graphing
10-2
Solving
Quadratic
Equations by
Graphing
10-1
Graphing
Quadratic
Functions
Student Edition
(lesson number
and title)
•
•
•
•
•
•
Graph quadratic
functions.
Find the equation
of the axis of
symmetry and the
coordinates of the
vertex of a
parabola.
Solve quadratic
equations by
graphing.
Estimate solutions
of quadratic equations by graphing.
Solve quadratic
equations by
finding the square
root.
Solve quadratic
equations by
completing the
square.
Lesson Objectives
Unlocking
Misconceptions,
540
DI, Visual/
Spatial, 541
Unlocking
Misconceptions,
534
DI, Logical, 535
DI, Interpersonal,
526
Teacher
Wraparound
Edition
(topic, page)
591, 592
585, 586
579, 580
Study Guide
and
Intervention,
CRM
(pages)
Chapter 10 Quadratic and Exponential Functions
10-3
10-2
10-1
5-Minute
Check
Transparencies
(lesson)
77
76
75
Parent and
Student
Study Guide
Workbook
(page)
Prerequisite
Skills
Workbook
(pages)
10-3
10-2
10-1
Online
Study
Tools
(lesson)
29
28
AlgePASS:
Tutorial
Plus
(lesson)
6.3
6.8
Hot
Words,
Hot
Topics
(lesson)
10-7
Geometric
Sequences
10-6
Growth and
Decay
10-5
Exponential
Functions
10-4
Solving
Quadratic
Equations by
Using the
Quadratic
Formula
•
•
•
•
•
•
•
•
Solve quadratic
equations by
using the
Quadratic
Formula.
Use the
discriminant to
determine the
number of
solutions for a
quadratic
equation.
Graph exponential
functions.
Identify data that
displays
exponential
behavior.
Solve problems
involving
exponential
growth.
Solve problems
involving
exponential
decay.
Recognize and
extend geometric
sequences.
Find geometric
means.
615, 616
609, 610
603, 604
597, 598
10-7
10-6
10-5
10-4
81
80
79
78
DI, Logical, 568
DI, Kinesthetic,
562
DI, Auditory/
Musical, 557
Find the Error,
558
DI, Verbal/
Linguistic, 547
Find the Error,
550
9-12, 47, 48
10-7
10-6
10-5
10-4
30, 31
6.3
6.3
11-4
The
Pythagorean
Theorem
11-3
Radical
Equations
11-2
Operations with
Radical
Expressions
11-1
Simplifying
Radical
Expressions
Student Edition
(lesson number
and title)
•
•
•
•
•
•
•
•
Simplify radical
expressions using
the Product
Property of
Square Roots.
Simplify radical
expressions using
the Quotient
Property of
Square Roots.
Add and subtract
radical
expressions.
Multiply radical
expressions.
Solve radical
equations.
Solve radical
equations with
extraneous
solutions.
Solve problems by
using the
Pythagorean
Theorem.
Determine
whether a triangle
is a right triangle.
Lesson Objectives
DI, Kinesthetic,
607
DI, Verbal/
Linguistic, 599
Find the Error,
600
DI, Visual/
Spatial, 594
Tips for New
Teachers, 587
DI, Logical, 588
Teacher
Wraparound
Edition
(topic, page)
661, 662
655, 656
649, 650
643, 644
Study Guide
and
Intervention,
CRM
(pages)
Chapter 11 Radical Expressions and Triangles
11-4
11-3
11-2
11-1
5-Minute
Check
Transparencies
(lesson)
86
85
84
83
Parent and
Student
Study Guide
Workbook
(page)
37, 38
Prerequisite
Skills
Workbook
(pages)
11-4
11-3
11-2
11-1
Online
Study
Tools
(lesson)
32
AlgePASS:
Tutorial
Plus
(lesson)
7.9
3.2
3.2
Hot
Words,
Hot
Topics
(lesson)
11-7
Trigonometric
Ratios
11-6
Similar
Triangles
11-5
The Distance
Formula
•
•
•
•
•
•
Find the distance
between two
points on the
coordinate plane.
Find a point that is
a given distance
from a second
point in a plane.
Determine
whether two
triangles are
similar.
Find the unknown
measures of sides
of two similar
triangles.
Define the sine,
cosine, and
tangent ratios.
Use trigonometric
ratios to solve
right triangles.
679, 680
673, 674
667, 668
11-7
11-6
11-5
89
88
87
DI, Auditory/
Musical, 624
Find the Error,
618
DI, Naturalist,
618
Unlocking
Misconceptions,
612
DI, Interpersonal,
613
61, 62
11-7
11-6
11-5
7.10
8.6
12-5
Dividing
Polynomials
12-4
Dividing
Rational
Expressions
12-3
Multiplying
Rational
Expressions
12-2
Rational
Expressions
12-1
Inverse
Variation
Student Edition
(lesson number
and title)
•
•
•
•
•
•
•
•
•
•
Graph inverse
variations.
Solve problems
involving inverse
variation.
Identify values
excluded from the
domain of a
rational
expression.
Simplify rational
expressions.
Multiply rational
expressions.
Use dimensional
analysis with
multiplication.
Divide rational
expressions.
Use dimensional
analysis with
division.
Divide a
polynomial by a
monomial.
Divide a
polynomial by a
binomial.
Lesson Objectives
DI, Intrapersonal,
668
DI, Visual/
Spatial, 661
DI, Logical, 656
Find the Error,
657
Unlocking
Misconceptions,
649
DI, Interpersonal,
650
DI, Kinesthetic,
644
Teacher
Wraparound
Edition
(topic, page)
729, 730
723, 724
717, 718
711, 712
705, 706
Study Guide
and
Intervention,
CRM
(pages)
Chapter 12 Rational Expressions and Equations
12-5
12-4
12-3
12-2
12-1
5-Minute
Check
Transparencies
(lesson)
95
94
93
92
91
Parent and
Student
Study Guide
Workbook
(page)
Prerequisite
Skills
Workbook
(pages)
12-5
12-4
12-3
12-2
12-1
Online
Study
Tools
(lesson)
33
AlgePASS:
Tutorial
Plus
(lesson)
8.2
1.4
Hot
Words,
Hot
Topics
(lesson)
12-8
Mixed
Expressions
and Complex
Fractions
12-9
Solving Rational
Equations
12-7
Rational
Expressions
with Unlike
Denominators
12-6
Rational
Expressions
with Like
Denominators
Solve rational
equations.
Eliminate
extraneous
solutions.
•
•
•
•
•
•
•
Add rational
expressions with
like denominators.
Subtract rational
expressions with
like denominators.
Add rational
expressions with
unlike
denominators.
Subtract rational
expressions with
unlike
denominators.
Simplify mixed
expressions.
Simplify complex
fractions.
•
753, 754
747, 748
741, 742
735, 736
12-9
12-8
12-7
12-6
99
98
97
96
DI, Kinesthetic,
692
Unlocking
Misconceptions,
693
DI, Auditory/
Musical, 685
Find the Error,
686
DI, Visual/
Spatial, 681
Find the Error,
674
DI, Verbal/
Linguistic, 674
17, 18
12-9
12-8
12-7
12-6
6.4
1.4
13-4
Measures of
Variation
13-3
Histograms
13-2
Introduction to
Matrices
13-1
Sampling and
Bias
Student Edition
(lesson number
and title)
•
•
•
•
•
•
•
•
Identify various
sampling
techniques.
Recognize a
biased sample.
Organize data in
matrices
Solve problems by
adding or
subtracting
matrices or by
multiplying by a
scalar.
Interpret data
displayed in
histograms.
Display data in
histograms.
Find the range of
a set of data.
Find the quartiles
and interquartile
range of a set of
data.
Lesson Objectives
Chapter 13 Statistics
DI, Kinesthetic,
724
Unlocking
Misconceptions,
725
Unlocking
Misconceptions,
732
DI, Auditory/
Musical, 733
Find the Error,
733
Find the Error,
717
DI, Verbal/
Linguistic, 720
DI, Visual/
Spatial, 710
Teacher
Wraparound
Edition
(topic, page)
799, 800
793, 794
787, 788
781, 782
Study Guide
and
Intervention,
CRM
(pages)
13-4
13-3
13-2
13-1
5-Minute
Check
Transparencies
(lesson)
104
103
102
101
Parent and
Student
Study Guide
Workbook
(page)
1, 2, 19, 20
97, 98
Prerequisite
Skills
Workbook
(pages)
13-4
13-3
13-2
13-1
Online
Study
Tools
(lesson)
AlgePASS:
Tutorial
Plus
(lesson)
4.2, 4.3
4.2, 4.4
4.2
2.6, 4.1
Hot
Words,
Hot
Topics
(lesson)
13-5
Box-andWhisker Plots
•
•
Organize and use
data in box-andwhisker plots.
Organize and use
data in parallel
box-and-whisker
plots.
805, 806
13-5
105
Unlocking
Misconceptions,
738
DI, Interpersonal,
739
13-5
34
4.2
14-3
Probability of
Compound
Events
14-2
Permutations
and
Combinations
14-1
Counting
Outcomes
Student Edition
(lesson number
and title)
Chapter 14
•
•
•
•
•
•
Count outcomes
using a tree
diagram.
Count outcomes
using the
Fundamental
Counting
Principle.
Determine
probabilities using
permutations.
Determine
probabilities using
combinations.
Find the
probability of two
independent
events or
dependent events.
Find the
probability of two
mutually exclusive
or inclusive
events.
Lesson Objectives
Probability
DI, Naturalist,
770
Find the Error,
773
DI, Visual/
Spatial, 761
Find the Error,
764
DI, Logical, 755
Teacher
Wraparound
Edition
(topic, page)
843, 844
837, 838
831, 832
Study Guide
and
Intervention,
CRM
(pages)
14-3
14-2
14-1
5-Minute
Check
Transparencies
(lesson)
109
108
107
Parent and
Student
Study Guide
Workbook
(page)
47, 48, 55,
56, 67-70,
99, 100
Prerequisite
Skills
Workbook
(pages)
14-3
14-2
14-1
Online
Study
Tools
(lesson)
35
AlgePASS:
Tutorial
Plus
(lesson)
2.9, 4.6
2.3, 2.4,
4.5
4.5, 4.6
Hot
Words,
Hot
Topics
(lesson)
14-5
Probability
Simulations
14-4
Probability
Distributions
•
•
•
•
Use random
variables to
compute
probability.
Use probability
distributions to
solve real-world
problems.
Use theoretical
and experimental
probability to
represent and
solve problems
involving
uncertainty.
Perform
probability
simulations to
model real-world
situations
involving
uncertainty.
855, 856
849, 850
14-5
14-4
111
110
DI, Kinesthetic,
784
DI, Interpersonal,
778
14-5
14-4
4.6
2.1, 4.6
1-6
Solving Compound
and Absolute Value
Inequalities
1-4
Solving Absolute
Value Equations
1-5
Solving Inequalities
•
1-3
Solving Equations
•
•
•
•
•
•
•
•
•
•
•
1-2
Properties of Real
Numbers
1-1
Expressions and
Formulas
Student Edition
(lesson number and
title)
Teacher
Wraparound
Edition
(topic, page)
31, 32
25, 26
19, 20
13, 14
7, 8
1, 2
Study Guide
and
Intervention,
CRM
(pages)
DI, Visual/Spatial,
8
Tips for New
Teachers, 10
DI, Kinesthetic, 14
Classify real numbers.
Use the properties of real numbers Unlocking
Misconceptions,
to evaluate expressions.
15
Unlocking
Misconceptions,
18
Unlocking
Translate verbal expressions into
Misconceptions,
algebraic expressions and
22
equations, and vice versa.
Find the Error, 24
Solve equations using the
DI, Interpersonal,
properties of equality.
24
Tips for New
Teachers, 27
DI,
Verbal/
Evaluate expressions involving
Linguistic, 29
absolute values.
Solve absolute value equations.
DI, Intrapersonal,
Solve inequalities.
35
Solve real-world problems
involving inequalities.
DI, Kinesthetic, 42
Solve compound inequalities.
Solve absolute value inequalities. Find the Error, 44
Use the order of operations to
evaluate expressions.
Use formulas.
Lesson Objectives
Chapter 1 Solving Equations and Inequalities
1-6
1-5
1-4
1-3
1-2
1-1
5-Minute
Check
Transparencies
(lesson)
1-6
1-5
1-4
1-3
1-2
1-1
Online Study
Tools (lesson)
2
1
Alge2PASS:
Tutorial Plus
(lesson)
NOTES
Tips for New
Teachers, 90
DI, Verbal/
Linguistic, 92
DI, Interpersonal,
97
2-7
Graphing
Inequalities
•
•
•
•
•
•
93, 94
87, 88
81, 82
75, 76
69, 70
63, 64
57, 58
Study Guide
and
Intervention,
CRM
(pages)
Identify and graph step, constant,
and identity functions.
Identify and graph absolute value
and piecewise functions.
Graph linear inequalities.
Graph absolute value inequalities.
•
2-5
Modeling RealWorld Data: Using
Scatter Plots
2-6
Special Functions
Write an equation of a line given
the slope and a point on the line.
Write an equation of a line parallel
or perpendicular to a given line.
DI, Naturalist, 82
Draw scatter plots.
Find and use prediction equations.
•
2-4
Writing Linear
Equations
DI, Naturalist, 71
Find the Error, 71
Tips for New
Teachers, 74
DI, Intrapersonal,
78
•
•
2-3
Slope
•
Identify linear equations and
functions.
Write linear equations in standard
form and graph them.
Find and use the slope of a line.
Graph parallel and perpendicular
lines.
•
2-2
Linear Equations
Unlocking
Misconceptions,
58
DI, Auditory/
Musical, 59
Find the Error, 60
Tips for New
Teachers, 62
DI, Visual/Spatial,
65
Analyze and graph relations.
Find functional values.
•
•
Teacher
Wraparound
Edition
(topic, page)
2-1
Relations and
Functions
Lesson Objectives
Linear Relations and Functions
Student Edition
(lesson number and
title)
Chapter 2
2-7
2-6
2-5
2-4
2-3
2-2
2-1
5-Minute
Check
Transparencies
(lesson)
2-7
2-6
2-5
2-4
2-3
2-2
2-1
Online Study
Tools (lesson)
4
3
Alge2PASS:
Tutorial Plus
(lesson)
NOTES
•
•
•
•
•
•
3-5
Solving Systems of
Equations in Three
Variables
•
•
3-4
•
Linear Programming
•
3-2
Solving Systems of
Equations
Algebraically
3-3
Solving Systems of
Inequalities by
Graphing
3-1
Solving Systems of
Equations by
Graphing
Student Edition
(lesson number and
title)
Unlocking
Misconceptions,
140
DI, Verbal/
Linguistic, 141
Find the Error,
142
Tips for New
Teachers, 144
DI, Visual/Spatial,
131
DI, Verbal/
Linguistic, 125
DI, Logical, 119
DI, Interpersonal,
111
143, 144
137, 138
131, 132
125, 126
119, 120
Study Guide
and
Intervention,
CRM
(pages)
Solve systems of linear equations
by graphing.
Determine whether a system of
linear equations is consistent and
independent, consistent and
dependent, or inconsistent.
by using substitution.
by using elimination.
Solve systems of inequalities by
graphing.
Determine the coordinates of the
vertices of a region formed by the
graph of a system of inequalities.
Find the maximum and minimum
values of a function over a region.
Solve real-world problems using
linear programming.
in three variables.
Solve real-world problems using
systems of linear equations in
three variables.
Lesson Objectives
Teacher
Wraparound
Edition
(topic, page)
Chapter 3 Systems of Equations and Inequalities
3-5
3-4
3-3
3-2
3-1
5-Minute
Check
Transparencies
(lesson)
3-5
3-4
3-3
3-2
3-1
Online Study
Tools (lesson)
5
Alge2PASS:
Tutorial Plus
(lesson)
NOTES
Matrices
•
4-4
Transformations
with Matrices
4-7
Identity and Inverse
Matrices
4-6
Cramer’s Rule
•
•
•
•
•
•
DI, Visual/Spatial,
177
DI, Kinesthetic,
155
Tips for New
Teachers, 159
Unlocking
Misconceptions,
161
DI, Verbal/
Linguistic, 162
Tips for New
Teachers, 166
DI, Auditory/
Musical, 170
Teacher
Wraparound
Edition
(topic, page)
Unlocking
Misconceptions,
183
DI, Interpersonal,
184
DI, Intrapersonal,
Solve systems of two linear
equations by using Cramer’s Rule. 191
Solve systems of three linear
equations by using Cramer’s Rule.
DI, Logical, 198
Determine whether two matrices
are inverses.
Find the inverse of a 2 × 2 matrix.
Multiply matrices.
Use the properties of matrix
multiplication.
Use matrices to determine the
coordinates of a translated or
dilated figure.
Use matrix multiplication to find
the coordinates of a reflected or
rotated figure.
Evaluate the determinant of a 2 ×
2 matrix.
Evaluate the determinant of a 3 ×
3 matrix.
•
•
4-3
Multiplying Matrices
4-5
Determinants
Add and subtract matrices.
Multiply by a matrix scalar.
•
•
4-2
Operations with
Matrices
•
Organize data in matrices.
Solve equations involving
matrices.
•
•
Lesson Objectives
4-1
Introduction to
Matrices
Student Edition
(lesson number and
title)
Chapter 4
205, 206
199, 200
193, 194
187, 188
181, 182
175, 176
169, 170
Study Guide
and
Intervention,
CRM
(pages)
4-7
4-6
4-5
4-4
4-3
4-2
4-1
5-Minute
Check
Transparencies
(lesson)
4-7
4-6
4-5
4-4
4-3
4-2
4-1
Online Study
Tools (lesson)
7
6
Alge2PASS:
Tutorial Plus
(lesson)
4-8
Using Matrices to
Solve Systems of
Equations
•
•
211, 212
Write matrix equations for systems DI, Logical, 204
of equations.
Solve systems of equations using
matrix equations.
4-8
4-8
•
•
•
•
5-4
Factoring
Polynomials
5-5
Roots of Real
Numbers
•
Add and subtract polynomials.
Multiply polynomials.
Unlocking
Divide polynomials using long
Misconceptions,
division.
235
Divide polynomials using synthetic
Find
the Error,
division.
236
DI, Interpersonal,
236
Tips for New
Teachers, 238
DI, Auditory/
Factor polynomials.
Musical, 242
Simplify polynomial quotients by
Tips
for New
factoring.
Teachers, 244
Unlocking
Misconceptions,
244
Unlocking
Simplify radicals.
Misconceptions,
Use a calculator to approximate
246
radicals.
DI, Visual/Spatial,
247
•
•
•
5-2
Polynomials
5-3
Dividing
Polynomials
Unlocking
Misconceptions,
223
DI, Interpersonal,
225
Find the Error,
226
Tips for New
Teachers, 228
DI, Logical, 232
Multiply and divide monomials.
Use expressions written in
scientific notation.
•
•
Lesson Objectives
Teacher
Wraparound
Edition
(topic, page)
5-1
Monomials
Student Edition
(lesson number and
title)
263, 264
5-5
5-4
5-3
251, 252
257, 258
5-2
5-1
5-Minute
Check
Transparencies
(lesson)
245, 246
239, 240
Study Guide
and
Intervention,
CRM
(pages)
Chapter 5 Polynomial and Radical Equations and Inequalities
5-5
5-4
5-3
5-2
5-1
Online Study
Tools (lesson)
8
Alge2PASS:
Tutorial Plus
(lesson)
5-9
Complex Numbers
5-8
Radical Equations
and Inequalities
5-7
Rational Exponents
•
•
•
•
•
•
5-6
•
Radical Expressions •
287, 288
281, 282
275, 276
269, 270
DI, Intrapersonal,
251
Unlocking
Misconceptions,
253
Tips for New
Teachers, 256
Unlocking
Write expressions with rational
exponents in radical form, and vice Misconceptions,
258
versa.
DI,
Auditory/
Simplify expressions in
Musical, 259
exponential or radical form.
Tips for New
Teachers, 262
DI, Logical, 265
Solve equations containing
Tips for New
radicals.
Teachers, 267
Solve inequalities containing
radicals.
DI, Verbal/
Add and subtract complex
Linguistic, 271
numbers.
Tips for New
Multiply and divide complex
Teachers, 275
numbers.
Simplify radical expressions.
Add, subtract, multiply, and divide
radical expressions.
5-9
5-8
5-7
5-6
5-9
5-8
5-7
5-6
9
Solve quadratic equations by
factoring.
Write a quadratic equation with
given roots.
using the Square Root Property.
completing the square.
using the Quadratic Formula.
Use the discriminant to determine
the number and type of roots of a
quadratic equation.
Analyze quadratic functions of the
form y = a(x – h)2 + k.
Write a quadratic function in the
form y = a(x – h)2 + k.
•
•
•
•
•
•
6-6
•
Analyzing Graphs of
Quadratic Functions •
6-5
The Quadratic
Formula and the
Discriminant
6-4
Completing the
Square
6-3
Solving Quadratic
Equations by
Factoring
graphing.
Estimate solutions of quadratic
equations by graphing.
•
6-2
Solving Quadratic
Equations by
Graphing
•
Graph quadratic functions.
Find and interpret the maximum
and minimum values of a
quadratic function.
•
•
Lesson Objectives
6-1
Graphing Quadratic
Functions
Student Edition
(lesson number and
title)
Tips for New
Teachers, 323
DI, Naturalist, 324
Find the Error,
Tips for New
Teachers, 288
Unlocking
Misconceptions,
288
DI, Auditory/
Musical, 289
Unlocking
Misconceptions,
295
DI, Verbal/
Linguistic, 296
DI, Visual/Spatial,
303
Find the Error,
303
Tips for New
Teachers, 305
DI, Kinesthetic,
309
Find the Error,
310
Tips for New
Teachers, 312
DI, Logical, 316
Teacher
Wraparound
Edition
(topic, page)
Chapter 6 Quadratic Functions and Inequalities
343, 344
337, 338
331, 332
325, 326
319, 320
313, 314
Study Guide
and
Intervention,
CRM
(pages)
6-6
6-5
6-4
6-3
6-2
6-1
5-Minute
Check
Transparencies
(lesson)
6-6
6-5
6-4
6-3
6-2
6-1
Online Study
Tools (lesson)
11, 12
10
Alge2PASS:
Tutorial Plus
(lesson)
6-7
Graphing and
Solving Quadratic
Inequalities
•
•
349, 350
325
Graph quadratic inequalities in two DI, Intrapersonal,
331
variables.
Solve quadratic inequalities in one
variable.
6-7
6-7
7-7
Operations on
Functions
7-6
Rational Zero
Theorem
7-5
Roots and Zeros
7-4
The Remainder and
Factor Theorems
7-3
Solving Equations
Using Quadratic
Techniques
7-1
Polynomial
Functions
7-2
Graphing
Polynomial
Functions
Student Edition
(lesson number and
title)
Write expressions in quadratic
form.
Use quadratic techniques to solve
equations.
Evaluate functions using synthetic
substitution.
Determine whether a binomial is a
factor of a polynomial by using
synthetic substitution.
Determine the number and type of
roots for a polynomial equation.
Find the zeros of a polynomial
function.
Identify the possible rational zeros
of a polynomial function.
Find all the rational zeros of a
polynomial function.
Find the sum, difference, product,
and quotient of functions.
Find the composition of functions.
•
•
•
•
•
•
•
•
•
•
•
•
Evaluate polynomial functions.
Identify general shapes of graphs
of polynomial functions.
Graph polynomial functions and
locate their real zeros.
Find the maxima and minima of
polynomial functions.
•
•
Lesson Objectives
Chapter 7 Polynomial Functions
Tips for New
Teachers, 384
DI, Naturalist, 385
Find the Error,
386
DI, Kinesthetic,
373
Unlocking
Misconceptions,
375
DI, Logical, 379
Find the Error,
380
Unlocking
Misconceptions,
354
DI, Verbal/
Linguistic, 356
Unlocking
Misconceptions,
361
DI, Visual/Spatial,
362
DI, Intrapersonal,
367
DI, Interpersonal,
349
Teacher
Wraparound
Edition
(topic, page)
411, 412
405, 406
399, 400
393, 394
387, 388
381, 382
375, 376
Study Guide
and
Intervention,
CRM
(pages)
7-7
7-6
7-5
7-4
7-3
7-2
7-1
5-Minute
Check
Transparencies
(lesson)
7-7
7-6
7-5
7-4
7-3
7-2
7-1
Online Study
Tools (lesson)
14
13
Alge2PASS:
Tutorial Plus
(lesson)
7-9
Square Root
Functions and
Inequalities
7-8
Inverse Functions
and Relations
•
•
•
•
DI, Auditory/
Musical, 397
DI, Logical, 391
423, 424
417, 418
Find the inverse of a function or
relation.
Determine whether two functions
or relations are inverses.
Graph and analyze square root
functions.
Graph square root inequalities.
7-9
7-8
7-9
7-8
Write equations of circles.
Graph circles.
Write equations of ellipses.
Graph ellipses.
Write equations of hyperbolas.
Graph hyperbolas.
Write equations of conic sections
in standard form.
Identify conic sections from their
equations.
•
•
•
•
•
•
•
8-3
Circles
8-4
Ellipses
8-5
Hyperbolas
8-6
Conic Sections
8-2
Parabolas
•
•
•
•
Find the midpoint of a segment on
the coordinate plane.
Find the distance between two
points on the coordinate plane.
Write equations of parabolas in
standard form.
Graph parabolas.
8-1
Midpoint and
Distance Formulas
•
Lesson Objectives
Conic Sections
Student Edition
(lesson number and
title)
Chapter 8
DI, Visual/Spatial
Learners, 414
Tips for New
Teachers, 416
Unlocking
Misconceptions,
420
DI, Kinesthetic,
422
Find the Error,
423
DI, Naturalist, 428
Find the Error,
429
DI, Auditory/
Musical, 434
Unlocking
Misconceptions,
435
Tips for New
Teachers, 440
Unlocking
Misconceptions,
442
DI, Logical, 443
Tips for New
Teachers, 448
DI, Intrapersonal,
450
Teacher
Wraparound
Edition
(topic, page)
485, 486
479, 480
473, 474
467, 468
461, 462
455, 456
Study Guide
and
Intervention,
CRM
(pages)
8-6
8-5
8-4
8-3
8-2
8-1
5-Minute
Check
Transparencies
(lesson)
8-6
8-5
8-4
8-3
8-2
8-1
Online Study
Tools (lesson)
16
15
Alge2PASS:
Tutorial Plus
(lesson)
8-7
Solving Quadratic
Systems
•
•
DI, Logical, 456
491, 492
Solve systems of quadratic
equations algebraically and
graphically.
Solve systems of quadratic
inequalities graphically.
8-7
8-7
•
•
9-5
Classes of
Functions
9-4
Direct, Joint, and
Inverse Variation
9-3
Graphing Rational
Functions
Recognize and solve direct and
joint variation problems.
Recognize and solve inverse
variation problems.
Identify graphs as different types
of functions.
Identify equations as different
types of functions.
•
•
•
•
•
Determine the vertical asymptotes
and the point discontinuity for the
graphs of rational functions.
Graph rational functions.
Determine the LCM of
polynomials.
Add and subtract rational
expressions.
Simplify rational expressions.
Simplify complex fractions.
Lesson Objectives
•
9-2
•
Adding and
Subtracting Rational •
Expressions
9-1
Multiplying and
Dividing Rational
Expressions
Student Edition
(lesson number and
title)
Teacher
Wraparound
Edition
(topic, page)
Unlocking
Misconceptions,
474
DI, Intrapersonal,
476
Tips for New
Teachers, 478
DI, Interpersonal,
481
Find the Error,
481
Tips for New
Teachers, 484
Unlocking
Misconceptions,
486
Tips for New
Teachers, 487
DI, Visual/Spatial,
488
Unlocking
Misconceptions,
494
DI, Auditory/
Musical, 495
Tips for New
Teachers, 498
DI, Interpersonal,
501
Tips for New
Teachers, 504
Chapter 9 Rational Expressions and Equations
541, 542
535, 536
529, 530
523, 524
517, 518
Study Guide
and
Intervention,
CRM
(pages)
9-5
9-4
9-3
9-2
9-1
5-Minute
Check
Transparencies
(lesson)
9-5
9-4
9-3
9-2
9-1
Online Study
Tools (lesson)
18
17
Alge2PASS:
Tutorial Plus
(lesson)
9-6
Solving Rational
Equations and
Inequalities
•
•
DI, Logical, 509
Find the Error,
509
Tips for New
Teachers, 511
547, 548
Solve rational equations.
Solve rational inequalities.
9-6
9-6
10-5
Base e and Natural
Logarithms
10-4
Common
Logarithms
10-3
Properties of
Logarithms
10-1
Exponential
Functions
10-2
Logarithms and
Logarithmic
Functions
Student Edition
(lesson number and
title)
Simplify and evaluate expressions
using the properties of logarithms.
Solve logarithmic equations using
the properties of logarithms.
Solve exponential equations and
inequalities using common
logarithms.
Evaluate logarithmic expressions
using the Change of Base
Formula.
Evaluate expressions involving the DI, Kinesthetic,
556
natural base and natural
Find the Error,
logarithms.
557
inequalities using natural
logarithms.
•
•
•
•
•
Tips for New
Teachers, 534
DI, Visual/Spatial,
534
Find the Error,
535
Unlocking
Misconceptions,
542
DI, Interpersonal,
543
Find the Error,
544
Unlocking
Misconceptions,
548
DI, Naturalist, 549
•
•
•
DI, Auditory/
Musical, 527
Graph exponential functions.
inequalities.
Evaluate logarithmic expressions.
Solve logarithmic equations and
inequalities.
•
•
Lesson Objectives
Teacher
Wraparound
Edition
(topic, page)
Chapter 10 Exponential and Logarithmic Relations
597, 598
591, 592
585, 586
579, 580
573, 574
Study Guide
and
Intervention,
CRM
(pages)
10-5
10-4
10-3
10-2
10-1
5-Minute
Check
Transparencies
(lesson)
10-5
10-4
10-3
10-2
10-1
Online Study
Tools (lesson)
19
Alge2PASS:
Tutorial Plus
(lesson)
10-6
Exponential Growth
and Decay
•
•
DI, Logical, 561
603, 604
Use logarithms to solve problems
involving exponential decay.
Use logarithms to solve problems
involving exponential growth.
10-6
10-6
Use geometric sequences.
Find geometric means.
Find sums of geometric series.
Find specific terms of geometric
series.
Find the sum of an infinite
geometric series.
Write repeating decimals as
fractions.
Recognize and use special
sequences.
Iterate functions.
•
•
•
•
•
•
11-3
Geometric
Sequences
11-4
Geometric Series
11-5
Infinite Geometric
Series
11-6
Recursion and
Special Sequences
Find sums of arithmetic series.
Use sigma notation.
•
•
11-2
Arithmetic Series
•
•
Use arithmetic sequences.
Find arithmetic means.
•
•
Lesson Objectives
11-1
Arithmetic
Sequences
Student Edition
(lesson number and
title)
Chapter 11 Sequences and Series
Unlocking
Misconceptions,
579
Tips for New
Teachers, 582
DI, Kinesthetic,
582
DI, Auditory/
Musical, 587
Tips for New
Teachers, 587
Find the Error,
590
DI, Interpersonal,
590
Tips for New
Teachers, 592
DI, Naturalist, 596
Tips for New
Teachers, 598
Unlocking
Misconceptions,
600
DI, Logical, 601
Find the Error,
602
Tips for New
Teachers, 604
DI, Kinesthetic,
608
Tips for New
Teachers, 610
Teacher
Wraparound
Edition
(topic, page)
661, 662
655, 656
649, 650
643, 644
637, 638
631, 632
Study Guide
and
Intervention,
CRM
(pages)
11-6
11-5
11-4
11-3
11-2
11-1
5-Minute
Check
Transparencies
(lesson)
11-6
11-5
11-4
11-3
11-2
11-1
Online Study
Tools (lesson)
21
20
Alge2PASS:
Tutorial Plus
(lesson)
11-8
Proof and
Mathematical
Induction
11-7
The Binomial
Theorem
•
•
•
•
DI, Verbal/
Linguistic, 615
Tips for New
Teachers, 617
DI, Visual/Spatial,
619
Tips for New
Teachers, 620
673, 674
667, 668
Use Pascal’s triangle to expand
powers of binomials.
Use the Binomial Theorem to
expand powers of binomials.
Prove statements by using
mathematical induction.
Disprove statements by finding a
counterexample.
11-8
11-7
11-8
11-7
Find the probability and odds of
events.
Create and use graphs of
probability distributions.
Find the probability of two
independent events.
Find the probability of two
dependent events.
Find the probability of mutually
exclusive events.
Find the probability of inclusive
events.
Use measures of central tendency
to represent a set of data.
Find measures of variation for a
set of data.
Determine whether a set of data
appears to be normally distributed
or skewed.
Solve problems involving normally
distributed data.
•
•
•
•
•
•
•
•
•
Solve problems involving
independent events.
dependent events.
Solve problems involving linear
permutations.
combinations.
12-7
The Normal
Distribution
Lesson Objectives
•
•
•
12-6
•
Statistical Measures
•
12-5
Adding Probabilities
12-4
Multiplying
Probabilities
12-3
Probability
12-2
Permutations and
Combinations
12-1
The Counting
Principle
Student Edition
(lesson number and
title)
Chapter 12 Probability and Statistics
Find the Error,
660
DI, Intrapersonal,
660
DI, Interpersonal,
667
Tips for New
Teachers, 668
DI, Kinesthetic,
672
Find the Error,
654
DI, Naturalist, 654
Unlocking
Misconceptions,
639
DI, Visual/Spatial,
640
DI, Naturalist, 646
Tips for New
Teachers, 648
DI, Interpersonal,
634
Teacher
Wraparound
Edition
(topic, page)
735, 736
729, 730
723, 724
717, 718
711, 712
705, 706
699, 700
Study Guide
and
Intervention,
CRM
(pages)
12-7
12-6
12-5
12-4
12-3
12-2
12-1
5-Minute
Check
Transparencies
(lesson)
12-7
12-6
12-5
12-4
12-3
12-2
12-1
Online Study
Tools (lesson)
23
22
Alge2PASS:
Tutorial Plus
(lesson)
12-9
Sampling and Error
12-8
Binomial
Experiments
•
•
•
•
DI, Verbal/
Linguistic, 683
DI, Kinesthetic,
677
747, 748
741, 742
Use binomial expansions to find
probabilities.
Find probabilities for binomial
experiments.
Determine whether a sample is
unbiased.
Find margins of sampling error.
12-9
12-8
12-9
12-8
13-6
Circular Functions
13-5
Law of Cosines
13-4
Law of Sines
13-3
Trigonometric
Functions of
General Angles
13-2
Angles and Angle
Measure
13-1
Right Triangle
Trigonometry
Find values of trigonometric
functions for general angles.
Use reference angles to find
values of trigonometric functions.
Solve problems by using the Law
of Sines.
Determine whether a triangle has
one, two, or no solutions.
Solve problems by using the Law
of Cosines.
Determine whether a triangle can
be solved by first using the Law of
Sines or the Law of Cosines.
Define and use the trigonometric
functions based on the unit circle.
Find the exact values of
trigonometric functions of angles.
•
•
•
•
•
•
•
•
•
•
•
Find values of trigonometric
functions for acute angles.
Solve problems involving right
triangles.
Change radian measure to degree
measure and vice versa.
Identify coterminal angles.
•
Lesson Objectives
Trigonometric Functions
Student Edition
(lesson number and
title)
Chapter 13
DI, Naturalist, 742
Tips for New
Teachers, 703
DI, Visual/Spatial,
704
Tips for New
Teachers, 711
DI, Kinesthetic,
712
Unlocking
Misconceptions,
718
DI, Auditory/
Musical, 720
Unlocking
Misconceptions,
726
DI, Intrapersonal,
728
Find the Error,
730
DI, Verbal/
Linguistic, 735
Find the Error,
735
Teacher
Wraparound
Edition
(topic, page)
805, 806
799, 800
793, 794
787, 788
781, 782
775, 776
Study Guide
and
Intervention,
CRM
(pages)
13-6
13-5
13-4
13-3
13-2
13-1
5-Minute
Check
Transparencies
(lesson)
13-6
13-5
13-4
13-3
13-2
13-1
Online Study
Tools (lesson)
26
24, 25
Alge2PASS:
Tutorial Plus
(lesson)
13-7
Inverse
Trigonometric
Functions
•
•
DI, Visual/Spatial,
748
811, 812
Solve equations by using inverse
trigonometric functions.
Find values of expressions
involving trigonometric functions.
13-7
13-7
•
•
•
•
•
•
•
•
•
•
14-6
•
Double-Angle and
Half-Angle Formulas •
14-5
Sum and Difference
of Angles Formulas
14-4
Verifying
Trigonometric
Identities
14-3
Trigonometric
Identities
14-1
Graphing
Trigonometric
Functions
14-2
Translations of
Trigonometric
Graphs
Graph trigonometric functions.
Find the amplitude and period of
variation of the sine, cosine, and
tangent functions.
Graph horizontal translations of
trigonometric graphs and find
phase shifts.
Graph vertical translations of
trigonometric graphs.
Use identities to find trigonometric
values.
Use trigonometric identities to
simplify expressions.
Verify trigonometric identities by
transforming one side of an
equation into the form of the other
side.
Verify trigonometric identities by
transforming each side of the
equation into the same form.
Find values of sine and cosine
involving sum and difference
formulas.
Verify identities by using sum and
difference formulas.
involving double-angle formulas.
involving half-angle formulas.
Lesson Objectives
DI, Auditory/
Musical, 793
DI, Naturalist, 787
DI, Interpersonal,
784
DI, Logical, 778
DI, Visual/Spatial,
763
Find the Error,
766
DI, Kinesthetic,
773
Teacher
Wraparound
Edition
(topic, page)
Trigonometric Graphs and Identities
Student Edition
(lesson number and
title)
Chapter 14
867, 868
861, 862
855, 856
849, 850
843, 844
837, 838
Study Guide
and
Intervention,
CRM
(pages)
14-6
14-5
14-4
14-3
14-2
14-1
5-Minute
Check
Transparencies
(lesson)
14-6
14-5
14-4
14-3
14-2
14-1
Online Study
Tools (lesson)
28
27
Alge2PASS:
Tutorial Plus
(lesson)
14-7
Solving
Trigonometric
Equations
•
•
DI, Interpersonal,
801
873, 874
Solve trigonometric equations.
Use trigonometric equations to
solve real-world problems.
14-7
14-7

Guide to Daily Intervention

Transcription

Similar documents

MS Math I Overview - International School of Kenya

Math English D 041-050

UNLOCKING THE DOORS TO BATH`S hISTORY

Differential Equations and Transform Methods Module code: EE 206

Math 321 Syllabus (981) Dept. Math. Scie., KFUPM K. Furati

ACT! now

Quadratic False Position

ACT! now

Vertafore SalesTrack Infographic

Building Patient Relationships 9-11