Chapter 10 Resource Masters - Anderson School District One

88 Pages·2015·2.35 MB·English

Chapter 10 Resource Masters
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Contents
Teacher’s Guide to Using the Chapter 10 Lesson 10-4
Resource Masters ...........................................iv
Mathematical Induction
Study Guide and Intervention ..........................21
Chapter Resources
Practice ............................................................23
Student-Built Glossary .......................................1
Word Problem Practice ...................................24
Anticipation Guide (English) ..............................3
Enrichment ......................................................25
Anticipation Guide (Spanish) .............................4
Lesson 10-5
Lesson 10-1
The Binomial Theorem
Sequences, Series, and Sigma Notation
Study Guide and Intervention ..........................26
Study Guide and Intervention ............................5
Practice ............................................................28
Practice ..............................................................7
Word Problem Practice ...................................29
Word Problem Practice .....................................8
Enrichment ......................................................30
Enrichment ........................................................9
Lesson 10-6
Lesson 10-2
Representing Functions as Infin ite Series
Arithmetic Sequences and Series
Study Guide and Intervention ..........................31
Study Guide and Intervention ..........................10
Practice ............................................................33
Practice ............................................................12
Word Problem Practice ...................................34
Word Problem Practice ...................................13
Enrichment ......................................................35
Enrichment ......................................................14
Graphing Calculator Activity ............................36
Lesson 10-3
Assessment
Geometric Sequences and Series
Chapter 10 Quizzes 1 and 2 ...........................37
Study Guide and Intervention ..........................15
Chapter 10 Quizzes 3 and 4 ...........................38
Practice ............................................................17
Chapter 10 Mid-Chapter Test ..........................39
Word Problem Practice ...................................18
Chapter 10 Vocabulary Test ...........................40
Enrichment ......................................................19
c. Chapter 10 Test, Form 1 .................................41
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s, I TI-Nspire Activity .............................................20 Chapter 10 Test, Form 2A ...............................43
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ani Chapter 10 Test, Form 2B ...............................45
p
m Chapter 10 Test, Form 2C ..............................47
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Hill Chapter 10 Test, Form 2D ..............................49
w- Chapter 10 Test, Form 3 .................................51
a
Gr Chapter 10 Extended-Response Test .............53
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e Standardized Test Practice .............................54
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on of Answers ...........................................A1–A26
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Teacher’s Guide to Using the
Chapter 10 Resource Masters
The Chapter 10 Resource Masters includes the core materials needed for Chapter 10. These
materials include worksheets, extensions, and assessment options. The answers for these
pages appear at the back of this booklet.
Chapter Resources Practice This master closely follows the
Student-Built Glossary (pages 1–2) These types of problems found in the Exercises
masters are a student study tool that section of the Student Edition and includes
presents up to twenty of the key vocabulary word problems. Use as an additional
terms from the chapter. Students are to practice option or as homework for
record definitions and/or examples for each second-day teaching of the lesson.
term. You may suggest that students
Word Problem Practice This master
highlight or star the terms with which they
includes additional practice in solving word
are not familiar. Give this to students before
problems that apply to the concepts of the
beginning Lesson 10-1. Encourage them to
lesson. Use as an additional practice or as
add these pages to their mathematics study
homework for second-day teaching of
notebooks. Remind them to complete the
the lesson.
appropriate words as they study each lesson.
Enrichment These activities may extend
Anticipation Guide (pages 3–4) This the concepts of the lesson, offer an historical
master, presented in both English and or multicultural look at the concepts, or
Spanish, is a survey used before beginning widen students’ perspectives on the
the chapter to pinpoint what students may mathematics they are learning. They are
or may not know about the concepts in the written for use with all levels of students.
chapter. Students will revisit this survey
Graphing Calculator, TI–Nspire, or C
after they complete the chapter to see if Spreadsheet Activities These activities opy
their perceptions have changed. present ways in which technology can be right ©
used with the concepts in some lessons of G
Lesson Resources le
this chapter. Use as an alternative approach nc
Study Guide and Intervention These oe
to some concepts or as an integral part of /M
masters provide vocabulary, key concepts, cG
your lesson presentation. ra
additional worked-out examples and Guided w
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Practice exercises to use as a reteaching ill, a
activity. It can also be used in conjunction div
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with the Student Edition as an instructional io
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tool for students who have been absent. f T
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Assessment Options Leveled Chapter Tests
The assessment masters in the Chapter 10
• Form 1 contains multiple-choice questions
Resource Masters offer a wide range of
and is intended for use with below grade
assessment tools for formative (monitoring)
level students.
assessment and summative (final)
• Forms 2A and 2B contain multiple-choice
assessment.
questions aimed at on grade level
Quizzes Four free-response quizzes offer students. These tests are similar in
assessment at appropriate intervals in format to offer comparable testing
the chapter. situations.
• Forms 2C and 2D contain free-response
Mid-Chapter Test This 1-page test
questions aimed at on grade level
provides an option to assess the first half of
students. These tests are similar in
the chapter. It parallels the timing of the
format to offer comparable testing
Mid-Chapter Quiz in the Student Edition
situations.
and includes both multiple-choice and
• Form 3 is a free-response test for use
free-response questions.
with above grade level students.
Vocabulary Test This test is suitable for All of the above mentioned tests include a
all students. It includes a list of vocabulary free-response Bonus question.
words and questions to assess students’
Extended-Response Test Performance
knowledge of those words. This can also be
assessment tasks are suitable for all
used in conjunction with one of the leveled
students. Sample answers are included for
chapter tests.
evaluation.
Standardized Test Practice These three
pages are cumulative in nature. It includes
two parts: multiple-choice questions with
bubble-in answer format and short-answer
free-response questions.
c.
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m • The answers for the Anticipation Guide
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Hill and Lesson Resources are provided as
w- reduced pages.
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c • Full-size answer keys are provided for the
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he assessment masters.
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NAME DATE PERIOD
10 Student-Built Glossary
This is an alphabetical list of key vocabulary terms you will learn in Chapter 10. s
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As you study this chapter, complete each term’s definition or description. c
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Remember to add the page number where you found the term. Add these pages to o
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your Precalculus Study Notebook to review vocabulary at the end of the chapter. e
R
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Found t
Vocabulary Term Definition/Description/Example p
on Page a
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anchor step
arithmetic means
arithmetic sequence
binomial coefficients
Binomial Theorem
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Th common ratio
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Euler’s Formula
(Oi-lers)
(continued on the next page)
Chapter 10 1 Glencoe Precalculus
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NAME DATE PERIOD
10 Student-Built Glossary
Found
Vocabulary Term Defi nition/Description/Example
on Page
geometric means
geometric sequence
inductive hypothesis
nth partial sum
Pascal’s triangle
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principle of mathematical rig
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induction t ©
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sequence ra
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series f T
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sigma notation om
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trigonometric series
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NAME DATE PERIOD
10 Anticipation Guide
Sequences and Series
s
Step 1 Before you begin Chapter 10 ce
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• R ead each statement. e
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• D ecide whether you Agree (A) or Disagree (D) with the statement. pt
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• W rite A or D in the first column OR if you are not sure whether you agree or
disagree, write NS (Not Sure).
STEP 1 STEP 2
Statement
A, D, or NS A or D
1. A sequence can be finite or infinite.
2. The Greek letter Σ is used to indicate a sum.
3. If a sequence has a limit, it is said to diverge.
4. In an arithmetic sequence, the differences between
consecutive terms are constant.
5. If the second differences in a sequence are constant, a cubic
function best models the sequence.
6. To find a common ratio in a geometric sequence, multiply any
c. term by the previous term.
n
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ni 7. Some infinite geometric series have a sum.
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Hill showing that something works for the first case is called the
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divi exponential form.
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en • R eread each statement and complete the last column by entering an A or a D.
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• F or those statements that you mark with a D, use a piece of paper to write an
example of why you disagree.
Chapter 10 3 Glencoe Precalculus
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NOMBRE FECHA PERÍODO
10 Ejercicios preparatorios
Sucesiones y series
Paso 1 Antes de que comiences el Capítulo 10
• L ee cada enunciado.
• D ecide si estás de acuerdo (A) o en desacuerdo (D) con el enunciado.
• E scribe A o D en la primera columna O si no estás seguro(a), escribe NS (no
estoy seguro(a)).
PASO 1 PASO 2
Enunciado
A, D o NS A o D
1. Una sucesión puede ser finita o infinita.
2. La letra griega ∑ se usa para indicar suma.
3. Si una sucesión tiene límite, se dice que diverge.
4. En una sucesión aritmética, la diferencia entre términos
consecutivos es constante.
5. Si en una sucesión las segundas diferencias son constantes,
entonces se puede representar mejor la sucesión usando una
función cúbica.
6. Para calcular la razón común de una sucesión geométrica,
C
multiplica cualquiera de los términos por el término previo. o
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rig
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7. Es posible hacer la suma de algunas series geométricas t ©
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infinitas. le
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8. Cuando se prueba una conjetura por inducción matemática, /M
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demostrar que algo sí se cumple para un primer caso se llama ra
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paso base. -H
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9. En el triángulo de Pascal, el número en la fila 0 es 0. div
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10. Se puede usar la fórmula de Euler para expresar un número of T
complejo en forma exponencial. he
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Paso 2 Después de que termines el Capítulo 10 ill C
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• R elee cada enunciado y escribe A o D en la última columna. ie
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.
• C ompara la última columna con la primera. ¿Cambiaste de opinión sobre alguno
de los enunciados?
• E n los casos en que hayas estado en desacuerdo con el enunciado, escribe en
una hoja aparte un ejemplo de por qué no estás de acuerdo.
Capítulo 10 4 Precálculo de Glencoe
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