SECTION I: List of Topics 


SECTION II: List of HSCE's 







SECTION I 




ENGLISH/LANGUAGE ARTS: 


Writing, Speaking, and Visual Expression 


Prewriting 


Revising and Editing 


Paragraph Organization 


Transitions 


Persuasive Writing 


Citations 








Reading, Listening, and Viewing 


Predictions 


Purpose and Audience 


Inferences and Conclusions 


Print Features 


Context Clues 


Word Roots and Affixes 


Organizational Patterns 


Fact and Opinion 


Main Idea and Significant Details 


Summarization 


Persuasive Strategies 


Instructions and Workplace Texts 








Literary and Culture 


Literary Language 


Characterization 


Plot 


Analyze Text Characteristics 


Author's Perspective and Beliefs 


Compare Texts 


Theme 


Literary Genres 


Poetry 


Dramatic Literature 


Historical and Cultural Context 








Language 


Sentence Structures 


Appropriate Language 


Dictionary, Thesaurus, and Glossary 


Adverbs 


Conjunctions 


Prepositions 


Interjections 


Pronouns 


Verb Usage 


Spelling 


Capitalization 


Punctuation 







MATH: 



Algebra I 


Properties of Arithmetic 


Absolute Value 


Exponents 


Algebraic Expressions 


Symbolize Problems Solutions 


Inequalities 


Linear Functions and Equations 


Systems of Equations 


Functions 


Graphs of Functions 


Inverses of Functions 


Real World Functions 


Quadratic Functions and Equations 


Radical and Power Functions and Equations 


Scatterplots 








Geometry 


Vectors 


Convert Units 


Mathematical Reasoning and Logic 


Angles 


Distance and Midpoint 


Triangles 


Trigonometry 


Polygons 


Circles 


Surface Area and Volume 


Drawing Objects 


Similar and Congruent Triangles 


Change in Dimensions 


Object Transformations 








Algebra II 


Counting Techniques 


Complex Numbers 


Sequences and Series 


Accuracy, Estimation, and Error 


Polynomials and Rational Expressions 


Polynomial and Rational Functions 


Exponential and Logarithmic Functions 


Trigonometric Functions and Equations 


Graphs of Trigonometric Functions 


Conic Sections 


Interpret Graphs 


Box Plots 


Central Tendency and Distributions 


Sampling Analysis 


Probablility Theory 







SCIENCE: 


Biology 


Inquiry, Reflection, and Social Implications 








Earth Science 


Inquiry, Reflection, and Social Implications 








Chemistry 


Inquiry, Reflection, and Social Implications 






Physics 


Inquiry, Reflection, and Social Implications 













SECTION II 






ENGLISH: 


Prewriting 


HSCE 


MI Grade 11, English/L.A. HSCE 


CE 1.1.1 


Demonstrate flexibility in using
independent and collaborative strategies for planning, drafting, revising,
and editing complex texts. 








MI Grade 11, English/L.A. HSCE 


CE 1.1.2 


Know and use a variety of
prewriting strategies to generate, focus, and organize ideas (e.g., free
writing, clustering/mapping, talking with others, brainstorming, outlining,
developing graphic organizers, taking notes, summarizing, paraphrasing). 








MI Grade 11, English/L.A. HSCE 


CE 1.4.1 


Identify, explore, and refine
topics and questions appropriate for research. 








MI Grade 11, English/L.A. HSCE 


CE 1.4.2 


Develop a system for gathering,
organizing, paraphrasing, and summarizing information; select, evaluate,
synthesize, and use multiple primary and secondary (print and electronic)
resources. 








MI Grade 11, English/L.A. HSCE 


CE 1.4.3 


Develop and refine a position,
claim, thesis, or hypothesis that will be explored and supported by analyzing
different perspectives, resolving inconsistencies, and writing about those
differences in a structure appropriate for the audience (e.g., argumentative
essay that avoids inconsistencies in logic and develops a single thesis;
exploratory essay that explains differences and similarities and raises
additional questions). 











Revising and Editing 


HSCE 


MI Grade 11, English/L.A. HSCE 


CE 1.1.1 


Demonstrate flexibility in using
independent and collaborative strategies for planning, drafting, revising,
and editing complex texts. 








MI Grade 11, English/L.A. HSCE 


CE 1.1.5 


Revise drafts to more fully
and/or precisely convey meaning—drawing on response from others,
selfreflection, and reading one’s own work with the eye of a reader; then
refine the text—deleting and/or reorganizing ideas, and addressing potential
readers’ questions. 








MI Grade 11, English/L.A. HSCE 


CE 1.1.6 


Reorganize sentence elements as
needed and choose grammatical and stylistic options that provide sentence
variety, fluency, and flow. 








MI Grade 11, English/L.A. HSCE 


CE 1.1.7 


Edit for style, tone, and word
choice (specificity, variety, accuracy, appropriateness, conciseness) and for
conventions of grammar, usage and mechanics that are appropriate for
audience. 








MI Grade 11, English/L.A. HSCE 


CE 1.1.8 


Proofread to check spelling,
layout, and font; and prepare selected pieces for a public audience. 











Paragraph Organization 


HSCE 


MI Grade 11, English/L.A. HSCE 


CE 1.3.2 


Compose written and spoken
essays or workrelated text that demonstrate logical thinking and the
development of ideas for academic, creative, and personal purposes: essays
that convey the author’s message by using an engaging introduction (with a
clear thesis as appropriate), wellconstructed paragraphs, transition
sentences, and a powerful conclusion. 








MI Grade 11, English/L.A. HSCE 


CE 1.4.3 


Develop and refine a position,
claim, thesis, or hypothesis that will be explored and supported by analyzing
different perspectives, resolving inconsistencies, and writing about those
differences in a structure appropriate for the audience (e.g., argumentative
essay that avoids inconsistencies in logic and develops a single thesis;
exploratory essay that explains differences and similarities and raises
additional questions). 








MI Grade 11, English/L.A. HSCE 


CE 1.4.5 


Develop organizational
structures appropriate to the purpose and message, and use transitions that
produce a sequential or logical flow of ideas. 








MI Grade 11, English/L.A. HSCE 


CE 1.5.3 


Select format and tone based on
the desired effect and audience, using effective written and spoken language,
sound, and/or visual representations (e.g., focus, transitions, facts, detail
and evidence to support judgments, skillful use of rhetorical devices, and a
coherent conclusion). 











Transitions 


HSCE 


MI Grade 11, English/L.A. HSCE 


CE 1.3.2 


Compose written and spoken
essays or workrelated text that demonstrate logical thinking and the
development of ideas for academic, creative, and personal purposes: essays
that convey the author’s message by using an engaging introduction (with a
clear thesis as appropriate), wellconstructed paragraphs, transition
sentences, and a powerful conclusion. 








MI Grade 11, English/L.A. HSCE 


CE 1.4.5 


Develop organizational
structures appropriate to the purpose and message, and use transitions that
produce a sequential or logical flow of ideas. 








MI Grade 11, English/L.A. HSCE 


CE 1.5.3 


Select format and tone based on
the desired effect and audience, using effective written and spoken language,
sound, and/or visual representations (e.g., focus, transitions, facts, detail
and evidence to support judgments, skillful use of rhetorical devices, and a
coherent conclusion). 











Persuasive Writing 


HSCE 


MI Grade 11, English/L.A. HSCE 


CE 1.3.4 


Develop and extend a thesis,
argument, or exploration of a topic by analyzing differing perspectives and
employing a structure that effectively conveys the ideas in writing (e.g.
resolve inconsistencies in logic; use a range of strategies to persuade, clarify,
and defend a position with precise and relevant evidence; anticipate and
address concerns and counterclaims; provide a clear and effective
conclusion). 








MI Grade 11, English/L.A. HSCE 


CE 1.4.3 


Develop and refine a position,
claim, thesis, or hypothesis that will be explored and supported by analyzing
different perspectives, resolving inconsistencies, and writing about those
differences in a structure appropriate for the audience (e.g., argumentative
essay that avoids inconsistencies in logic and develops a single thesis;
exploratory essay that explains differences and similarities and raises
additional questions). 








MI Grade 11, English/L.A. HSCE 


CE 1.5.3 


Select format and tone based on
the desired effect and audience, using effective written and spoken language,
sound, and/or visual representations (e.g., focus, transitions, facts, detail
and evidence to support judgments, skillful use of rhetorical devices, and a
coherent conclusion). 











Citations 


HSCE 


MI Grade 11, English/L.A. HSCE 


CE 1.4.6 


Use appropriate conventions of
textual citation in different contexts (e.g., different academic disciplines
and workplace writing situations). 











Predictions 


HSCE 


MI Grade 11, English/L.A. HSCE 


CE 2.1.1 


Use a variety of prereading and
previewing strategies (e.g., acknowledge own prior knowledge, make
connections, generate questions, make predictions, scan a text for a
particular purpose or audience, analyze text structure and features) to make
conscious choices about how to approach the reading based on purpose, genre,
level of difficulty, text demands and features. 











Purpose and Audience 


HSCE 


MI Grade 11, English/L.A. HSCE 


CE 2.1.1 


Use a variety of prereading and
previewing strategies (e.g., acknowledge own prior knowledge, make
connections, generate questions, make predictions, scan a text for a
particular purpose or audience, analyze text structure and features) to make
conscious choices about how to approach the reading based on purpose, genre,
level of difficulty, text demands and features. 








MI Grade 11, English/L.A. HSCE 


CE 3.1.4 


Analyze characteristics of
specific works and authors (e.g., voice, mood, time sequence, author vs.
narrator, stated vs. implied author, intended audience and purpose, irony,
parody, satire, propaganda, use of archetypes and symbols) and identify basic
beliefs, perspectives, and philosophical assumptions underlying an author’s
work. 








MI Grade 11, English/L.A. HSCE 


CE 1.1.3 


Select and use language that is
appropriate (e.g., formal, informal, literary, or technical) for the purpose,
audience, and context of the text, speech, or visual representation (e.g.,
letter to editor, proposal, poem, or digital story). 








MI Grade 11, English/L.A. HSCE 


CE 1.3.5 


From the outset, identify and
assess audience expectations and needs; consider the rhetorical effects of
style, form, and content based on that assessment; and adapt communication
strategies appropriately and effectively. 











Inferences and Conclusions 


HSCE 


MI Grade 11, English/L.A. HSCE 


CE 2.1.2 


Make supported inferences and
draw conclusions based on informational print and multimedia features (e.g.,
prefaces, appendices, marginal notes, illustrations, bibliographies, author’s
pages, footnotes, diagrams, tables, charts, maps, timelines, graphs, and
other visual and special effects) and explain how authors and speakers use
them to infer the organization of text and enhance understanding, convey
meaning, and inspire or mislead audiences. 








MI Grade 11, English/L.A. HSCE 


CE 1.4.4 


Interpret, synthesize, and
evaluate information/findings in various print sources and media (e.g., fact
and opinion, comprehensiveness of the evidence, bias, varied perspectives,
motives and credibility of the author, date of publication) to draw conclusions
and implications. 











Print Features 


HSCE 


MI Grade 11, English/L.A. HSCE 


CE 2.1.1 


Use a variety of prereading and
previewing strategies (e.g., acknowledge own prior knowledge, make
connections, generate questions, make predictions, scan a text for a
particular purpose or audience, analyze text structure and features) to make
conscious choices about how to approach the reading based on purpose, genre,
level of difficulty, text demands and features. 








MI Grade 11, English/L.A. HSCE 


CE 2.1.2 


Make supported inferences and
draw conclusions based on informational print and multimedia features (e.g.,
prefaces, appendices, marginal notes, illustrations, bibliographies, author’s
pages, footnotes, diagrams, tables, charts, maps, timelines, graphs, and
other visual and special effects) and explain how authors and speakers use
them to infer the organization of text and enhance understanding, convey
meaning, and inspire or mislead audiences. 








MI Grade 11, English/L.A. HSCE 


CE 2.1.9 


Examine the intersections and
distinctions between visual (media images, painting, film, and graphic arts)
and verbal communication. 








MI Grade 11, English/L.A. HSCE 


CE 1.2.1 


Write, speak, and use images and
graphs to understand and discover complex ideas. 











Context Clues 


HSCE 


MI Grade 11, English/L.A. HSCE 


CE 4.1.2 


Use resources to determine word
meanings, pronunciations, and word etymologies (e.g., context, print and
electronic dictionaries, thesauruses, glossaries, and others). 








MI Grade 11, English/L.A. HSCE 


CE 2.1.3 


Determine the meaning of
unfamiliar words, specialized vocabulary, figurative language, idiomatic
expressions, and technical meanings of terms through context clues, word
roots and affixes, and the use of appropriate resource materials such as
print and electronic dictionaries. 











Word Roots and Affixes 


MI Grade 11, English/L.A. HSCE 


CE 2.1.3 


Determine the meaning of
unfamiliar words, specialized vocabulary, figurative language, idiomatic
expressions, and technical meanings of terms through context clues, word
roots and affixes, and the use of appropriate resource materials such as
print and electronic dictionaries. 











Organizational Patterns 


HSCE 


MI Grade 11, English/L.A. HSCE 


CE 2.1.5 


Analyze and evaluate the
components of multiple organizational patterns (e.g., compare/contrast,
cause/effect, problem/solution, fact/opinion, theory/evidence). 








MI Grade 11, English/L.A. HSCE 


CE 2.1.1 


Use a variety of prereading and
previewing strategies (e.g., acknowledge own prior knowledge, make
connections, generate questions, make predictions, scan a text for a
particular purpose or audience, analyze text structure and features) to make
conscious choices about how to approach the reading based on purpose, genre,
level of difficulty, text demands and features. 








MI Grade 11, English/L.A. HSCE 


CE 2.1.4 


Identify and evaluate the
primary focus, logical argument, structure, and style of a text or speech and
the ways in which these elements support or confound meaning or purpose. 








MI Grade 11, English/L.A. HSCE 


CE 1.4.5 


Develop organizational
structures appropriate to the purpose and message, and use transitions that
produce a sequential or logical flow of ideas. 








MI Grade 11, English/L.A. HSCE 


CE 2.1.10 


Listen to and view speeches,
presentations, and multimedia works to identify and respond thoughtfully to
key ideas, significant details, logical organization, fact and opinion, and
propaganda. 











Fact and Opinion 


HSCE 


MI Grade 11, English/L.A. HSCE 


CE 2.1.5 


Analyze and evaluate the
components of multiple organizational patterns (e.g., compare/contrast,
cause/effect, problem/solution, fact/opinion, theory/evidence). 








MI Grade 11, English/L.A. HSCE 


CE 2.1.10 


Listen to and view speeches,
presentations, and multimedia works to identify and respond thoughtfully to
key ideas, significant details, logical organization, fact and opinion, and
propaganda. 








MI Grade 11, English/L.A. HSCE 


CE 1.4.4 


Interpret, synthesize, and
evaluate information/findings in various print sources and media (e.g., fact
and opinion, comprehensiveness of the evidence, bias, varied perspectives,
motives and credibility of the author, date of publication) to draw conclusions
and implications. 











Main Idea and Significant Details 


HSCE 


MI Grade 11, English/L.A. HSCE 


CE 2.1.6 


Recognize the defining
characteristics of informational texts, speeches, and multimedia
presentations (e.g., documentaries and research presentations) and elements
of expository texts (e.g., thesis, supporting ideas, and statistical
evidence); critically examine the argumentation and conclusions of multiple
informational texts. 











Summarization 


HSCE 


MI Grade 11, English/L.A. HSCE 


CE 2.1.7 


Demonstrate understanding of
written, spoken, or visual information by restating, paraphrasing,
summarizing, critiquing, or composing a personal response; distinguish
between a summary and a critique. 








MI Grade 11, English/L.A. HSCE 


CE 1.4.2 


Develop a system for gathering,
organizing, paraphrasing, and summarizing information; select, evaluate,
synthesize, and use multiple primary and secondary (print and electronic)
resources. 











Persuasive Strategies 


HSCE 


MI Grade 11, English/L.A. HSCE 


CE 1.4.4 


Interpret, synthesize, and
evaluate information/findings in various print sources and media (e.g., fact
and opinion, comprehensiveness of the evidence, bias, varied perspectives,
motives and credibility of the author, date of publication) to draw conclusions
and implications. 








MI Grade 11, English/L.A. HSCE 


CE 2.2.1 


Recognize literary and
persuasive strategies as ways by which authors convey ideas and readers make
meaning (e.g., imagery, irony, satire, parody, propaganda,
overstatement/understatement, omission, and multiple points of view). 








MI Grade 11, English/L.A. HSCE 


CE 4.2.4 


Understand the appropriate uses
and implications of casual or informal versus professional language;
understand, as well, the implications of language designed to control others
and the detrimental effects of its use on targeted individuals or groups (e.g.,
propaganda, homophobic language, and racial, ethnic, or gender epithets). 








MI Grade 11, English/L.A. HSCE 


CE 3.1.4 


Analyze characteristics of
specific works and authors (e.g., voice, mood, time sequence, author vs.
narrator, stated vs. implied author, intended audience and purpose, irony,
parody, satire, propaganda, use of archetypes and symbols) and identify basic
beliefs, perspectives, and philosophical assumptions underlying an author’s
work. 











Instructions and Workplace Texts 


HSCE 


MI Grade 11, English/L.A. HSCE 


CE 2.3.1 


Read, listen to, and view
diverse texts for multiple purposes such as learning complex procedures,
making workplace decisions, or pursuing indepth studies. 








MI Grade 11, English/L.A. HSCE 


CE 2.3.3 


Critically read and interpret
instructions for a variety of tasks (e.g., completing assignments, using
software, writing college and job applications). 











Literary Language 


HSCE 


MI Grade 11, English/L.A. HSCE 


CE 3.1.1 


Interpret literary language
(e.g., imagery, allusions, symbolism, metaphor) while reading literary and
expository works. 








MI Grade 11, English/L.A. HSCE 


CE 2.1.3 


Determine the meaning of
unfamiliar words, specialized vocabulary, figurative language, idiomatic
expressions, and technical meanings of terms through context clues, word
roots and affixes, and the use of appropriate resource materials such as
print and electronic dictionaries. 








MI Grade 11, English/L.A. HSCE 


CE 2.2.1 


Recognize literary and
persuasive strategies as ways by which authors convey ideas and readers make
meaning (e.g., imagery, irony, satire, parody, propaganda,
overstatement/understatement, omission, and multiple points of view). 











Characterization 


HSCE 


MI Grade 11, English/L.A. HSCE 


CE 3.1.2 


Demonstrate an understanding of
literary characterization, character development, the function of major and
minor characters, motives and causes for action, and moral dilemmas that
characters encounter by describing their function in specific works. 











Plot 


HSCE 


MI Grade 11, English/L.A. HSCE 


CE 3.1.3 


Recognize a variety of plot
structures and elements (e.g., story within a story, rising action,
foreshadowing, flash backs, causeandeffect relationships, conflicts,
resolutions) and describe their impact on the reader in specific literary
works. 











Analyze Text Characteristics 


HSCE 


MI Grade 11, English/L.A. HSCE 


CE 3.1.4 


Analyze characteristics of
specific works and authors (e.g., voice, mood, time sequence, author vs.
narrator, stated vs. implied author, intended audience and purpose, irony,
parody, satire, propaganda, use of archetypes and symbols) and identify basic
beliefs, perspectives, and philosophical assumptions underlying an author’s
work. 








MI Grade 11, English/L.A. HSCE 


CE 1.4.4 


Interpret, synthesize, and
evaluate information/findings in various print sources and media (e.g., fact
and opinion, comprehensiveness of the evidence, bias, varied perspectives,
motives and credibility of the author, date of publication) to draw conclusions
and implications. 











Compare Texts 


HSCE 


MI Grade 11, English/L.A. HSCE 


CE 3.1.5 


Comparatively analyze two or
more literary or expository texts, comparing how and why similar themes are
treated differently, by different authors, in different types of text, in
different historical periods, and/or from different cultural perspectives. 











Theme 


HSCE 


MI Grade 11, English/L.A. HSCE 


CE 3.1.8 


Demonstrate an understanding of
historical, political, cultural, and philosophical themes and questions
raised by literary and expository works. 











Literary Genres 


HSCE 


MI Grade 11, English/L.A. HSCE 


CE 2.1.6 


Recognize the defining
characteristics of informational texts, speeches, and multimedia
presentations (e.g., documentaries and research presentations) and elements
of expository texts (e.g., thesis, supporting ideas, and statistical
evidence); critically examine the argumentation and conclusions of multiple
informational texts. 








MI Grade 11, English/L.A. HSCE 


CE 2.3.4 


Critically interpret primary and
secondary researchrelated documents (e.g., historical and government
documents, newspapers, critical and technical articles, and subjectspecific
books). 








MI Grade 11, English/L.A. HSCE 


CE 3.2.1 


Recognize a variety of literary
genres and forms (e.g., poetry, drama, novels, short stories,
autobiographies, biographies, multigenre texts, satire, parody, allegory)
and demonstrate an understanding of the way in which genre and form influence
meaning. 











Historical and Cultural Context 


HSCE 


MI Grade 11, English/L.A. HSCE 


CE 3.1.8 


Demonstrate an understanding of
historical, political, cultural, and philosophical themes and questions
raised by literary and expository works. 











Sentence Structures 


HSCE 


MI Grade 11, English/L.A. HSCE 


CE 4.1.1 


Use sentence structures and
vocabulary effectively within different modes (oral and written, formal and
informal) and for various rhetorical purposes. 








MI Grade 11, English/L.A. HSCE 


CE 4.1.5 


Demonstrate use of conventions
of grammar, usage, and mechanics in written texts, including parts of speech,
sentence structure and variety, spelling, capitalization, and punctuation. 











Appropriate Language 


HSCE 


MI Grade 11, English/L.A. HSCE 


CE 4.1.4 


Control standard English
structures in a variety of contexts (e.g., formal speaking, academic prose,
business, and public writing) using language carefully and precisely. 








MI Grade 11, English/L.A. HSCE 


CE 4.2.4 


Understand the appropriate uses
and implications of casual or informal versus professional language;
understand, as well, the implications of language designed to control others
and the detrimental effects of its use on targeted individuals or groups (e.g.,
propaganda, homophobic language, and racial, ethnic, or gender epithets). 








MI Grade 11, English/L.A. HSCE 


CE 4.1.1 


Use sentence structures and
vocabulary effectively within different modes (oral and written, formal and
informal) and for various rhetorical purposes. 








MI Grade 11, English/L.A. HSCE 


CE 1.1.3 


Select and use language that is
appropriate (e.g., formal, informal, literary, or technical) for the purpose,
audience, and context of the text, speech, or visual representation (e.g.,
letter to editor, proposal, poem, or digital story). 











Dictionary, Thesaurus, and Glossary 


HSCE 


MI Grade 11, English/L.A. HSCE 


CE 4.1.2 


Use resources to determine word
meanings, pronunciations, and word etymologies (e.g., context, print and
electronic dictionaries, thesauruses, glossaries, and others). 








MI Grade 11, English/L.A. HSCE 


CE 2.1.3 


Determine the meaning of
unfamiliar words, specialized vocabulary, figurative language, idiomatic
expressions, and technical meanings of terms through context clues, word
roots and affixes, and the use of appropriate resource materials such as
print and electronic dictionaries. 











Adverbs 


HSCE 


MI Grade 11, English/L.A. HSCE 


CE 4.1.5 


Demonstrate use of conventions
of grammar, usage, and mechanics in written texts, including parts of speech,
sentence structure and variety, spelling, capitalization, and punctuation. 











Conjunctions 


HSCE 


MI Grade 11, English/L.A. HSCE 


CE 4.1.5 


Demonstrate use of conventions
of grammar, usage, and mechanics in written texts, including parts of speech,
sentence structure and variety, spelling, capitalization, and punctuation. 











Prepositions 


HSCE 


MI Grade 11, English/L.A. HSCE 


CE 4.1.5 


Demonstrate use of conventions
of grammar, usage, and mechanics in written texts, including parts of speech,
sentence structure and variety, spelling, capitalization, and punctuation. 











Interjections 


HSCE 


MI Grade 11, English/L.A. HSCE 


CE 4.1.5 


Demonstrate use of conventions
of grammar, usage, and mechanics in written texts, including parts of speech,
sentence structure and variety, spelling, capitalization, and punctuation. 











Pronouns 


HSCE 


MI Grade 11, English/L.A. HSCE 


CE 4.1.5 


Demonstrate use of conventions
of grammar, usage, and mechanics in written texts, including parts of speech,
sentence structure and variety, spelling, capitalization, and punctuation. 











Verb Usage 


HSCE 


MI Grade 11, English/L.A. HSCE 


CE 4.1.5 


Demonstrate use of conventions
of grammar, usage, and mechanics in written texts, including parts of speech,
sentence structure and variety, spelling, capitalization, and punctuation. 











Spelling 


HSCE 


MI Grade 11, English/L.A. HSCE 


CE 4.1.5 


Demonstrate use of conventions
of grammar, usage, and mechanics in written texts, including parts of speech,
sentence structure and variety, spelling, capitalization, and punctuation. 








MI Grade 11, English/L.A. HSCE 


CE 1.1.8 


Proofread to check spelling,
layout, and font; and prepare selected pieces for a public audience. 











Capitalization 


HSCE 


MI Grade 11, English/L.A. HSCE 


CE 4.1.5 


Demonstrate use of conventions
of grammar, usage, and mechanics in written texts, including parts of speech,
sentence structure and variety, spelling, capitalization, and punctuation. 











Punctuation 


HSCE 


MI Grade 11, English/L.A. HSCE 


CE 4.1.5 


Demonstrate use of conventions
of grammar, usage, and mechanics in written texts, including parts of speech,
sentence structure and variety, spelling, capitalization, and punctuation. 














MATH: 


Properties of Arithmetic 


HSCE 


MI Grade 11, Math HSCE 


L1.1.1 


Know the different properties
that hold in different number systems and recognize that the applicable
properties change in the transition from the positive integers to all
integers, to the rational numbers, and to the real numbers. 








MI Grade 11, Math HSCE 


L1.1.2 


Explain why the multiplicative
inverse of a number has the same sign as the number, while the additive
inverse of a number has the opposite sign. 








MI Grade 11, Math HSCE 


L1.1.3 


Explain how the properties of
associativity, commutativity, and distributivity, as well as identity and
inverse elements, are used in arithmetic and algebraic calculations. 








MI Grade 11, Math HSCE 


L1.1.4 


Describe the reasons for the
different effects of multiplication by, or exponentiation of, a positive
number by a number less than 0, a number between 0 and 1, and a number
greater than 1. 








MI Grade 11, Math HSCE 


L1.1.5 


Justify numerical relationships 











Absolute Value 


HSCE 


MI Grade 11, Math HSCE 


L1.2.2 


Interpret representations that
reflect absolute value relationships in such contexts as error tolerance. 








MI Grade 11, Math HSCE 


A1.2.4 


Solve absolute value equations
and inequalities, and justify steps in the solution. 











Exponents 


HSCE 


MI Grade 11, Math HSCE 


L2.1.2 


Calculate fluently with
numerical expressions involving exponents; use the rules of exponents;
evaluate numerical expressions involving rational and negative exponents;
transition easily between roots and exponents. 











Algebraic Expressions 


HSCE 


MI Grade 11, Math HSCE 


A1.1.1 


Give a verbal description of an
expression that is presented in symbolic form, write an algebraic expression
from a verbal description, and evaluate expressions given values of the
variables. 








MI Grade 11, Math HSCE 


A1.1.2 


Know the definitions and
properties of exponents and roots transition fluently between them, and apply
them in algebraic expressions. 











Symbolize Problems Solutions 


HSCE 


MI Grade 11, Math HSCE 


A1.2.1 


Write equations and inequalities
with one or two variables to represent mathematical or applied situations,
and solve. 











Inequalities 


HSCE 


MI Grade 11, Math HSCE 


A1.2.3 


Solve linear and quadratic
equations and inequalities including systems of up to three linear equations
with three unknowns. Justify steps in the solution, and apply the quadratic
formula appropriately. 








MI Grade 11, Math HSCE 


A1.2.4 


Solve absolute value equations
and inequalities, and justify steps in the solution. 











Linear Functions and Equations 


HSCE 


MI Grade 11, Math HSCE 


A1.2.3 


Solve linear and quadratic
equations and inequalities including systems of up to three linear equations
with three unknowns. Justify steps in the solution, and apply the quadratic
formula appropriately. 








MI Grade 11, Math HSCE 


A3.1.1 


Write the symbolic forms of
linear functions (standard, pointslope, and slopeintercept) given
appropriate information, and convert between forms. 








MI Grade 11, Math HSCE 


A3.1.2 


Graph lines (including those of
the form x = h and y = k) given appropriate information. 








MI Grade 11, Math HSCE 


A3.1.3 


Relate the coefficients in a
linear function to the slope and x and yintercepts of its graph. 








MI Grade 11, Math HSCE 


A3.1.4 


Find an equation of the line
parallel or perpendicular to given line, through a given point; understand
and use the facts that nonvertical parallel lines have equal slopes, and
that nonvertical perpendicular lines have slopes that multiply to give 1. 











Systems of Equations 


HSCE 


MI Grade 11, Math HSCE 


A1.2.3 


Solve linear and quadratic
equations and inequalities including systems of up to three linear equations
with three unknowns. Justify steps in the solution, and apply the quadratic
formula appropriately. 











Functions 


HSCE 


MI Grade 11, Math HSCE 


A1.2.2 


Associate a given equation with
a function whose zeros are the solutions of the equation. 








MI Grade 11, Math HSCE 


A1.2.8 


Solve an equation involving
several variables (with numerical or letter coefficients) for a designated
variable. Justify steps in the solution. 








MI Grade 11, Math HSCE 


A2.1.1 


Determine whether a relationship
(given in contextual, symbolic, tabular, or graphical form) is a function and
identify its domain and range. 








MI Grade 11, Math HSCE 


A2.1.2 


Read, interpret, and use
function notation and evaluate a function at a value in its domain. 








MI Grade 11, Math HSCE 


A2.1.3 


Represent functions in symbols,
graphs, tables, diagrams, or words and translate among representations. 








MI Grade 11, Math HSCE 


A2.1.4 


Recognize that functions may be
defined by different expressions over different intervals of their domains;
such functions are piecewisedefined. 








MI Grade 11, Math HSCE 


A2.1.5 


Recognize that functions may be
defined recursively. Compute values of and graph simple recursively defined
functions. 








MI Grade 11, Math HSCE 


A2.1.6 


Identify the zeros of a
function, the intervals where the values of a function are positive or
negative, and describe the behavior of a function as x approaches positive or
negative infinity, given the symbolic and graphical representations. 








MI Grade 11, Math HSCE 


A2.1.7 


Identify and interpret the key
features of a function from its graph or its formula(e). 








MI Grade 11, Math HSCE 


A2.2.1 


Combine functions by addition,
subtraction, multiplication, and division. 











Graphs of Functions 


HSCE 


MI Grade 11, Math HSCE 


A2.2.2 


Apply given transformations to
basic functions and represent symbolically. 











Inverses of Functions 


HSCE 


MI Grade 11, Math HSCE 


A2.2.3 


Recognize whether a function
(given in tabular or graphical form) has an inverse and recognize simple
inverse pairs. 











Real World Functions 


HSCE 


MI Grade 11, Math HSCE 


A2.3.2 


Describe the tabular pattern
associated with functions having constant rate of change (linear); or
variable rates of change. 








MI Grade 11, Math HSCE 


A2.4.1 


Identify the family of function
best suited for modeling a given realworld situation. 








MI Grade 11, Math HSCE 


A2.4.2 


Adapt the general symbolic form
of a function to one that fits the specification of a given situation by
using the information to replace arbitrary constants with numbers. 








MI Grade 11, Math HSCE 


A2.4.3 


Using the adapted general
symbolic form, draw reasonable conclusions about the situation being modeled. 











Quadratic Functions and Equations 


HSCE 


MI Grade 11, Math HSCE 


A1.2.3 


Solve linear and quadratic
equations and inequalities including systems of up to three linear equations
with three unknowns. Justify steps in the solution, and apply the quadratic
formula appropriately. 








MI Grade 11, Math HSCE 


A3.3.1 


Write the symbolic form and
sketch the graph of a quadratic function given appropriate information. 








MI Grade 11, Math HSCE 


A3.3.2 


Identify the elements of a
parabola (vertex, axis of symmetry, direction of opening) given its symbolic
form or its graph, and relate these elements to the coefficient(s) of the
symbolic form of the function. 








MI Grade 11, Math HSCE 


A3.3.3 


Convert quadratic functions from
standard to vertex form by completing the square. 








MI Grade 11, Math HSCE 


A3.3.4 


Relate the number of real
solutions of a quadratic equation to the graph of the associated quadratic
function. 








MI Grade 11, Math HSCE 


A3.3.5 


Express quadratic functions in
vertex form to identify their maxima or minima, and in factored form to
identify their zeros. 











Radical and Power Functions and
Equations 


HSCE 


MI Grade 11, Math HSCE 


A1.2.6 


Solve power equations and
equations including radical expressions, justify steps in the solution, and
explain how extraneous solutions may arise. 








MI Grade 11, Math HSCE 


A3.4.1 


Write the symbolic form and
sketch the graph of power functions. 








MI Grade 11, Math HSCE 


A3.4.2 


Express direct and inverse
relationships as functions and recognize their characteristics. 








MI Grade 11, Math HSCE 


A3.4.3 


Analyze the graphs of power
functions, noting reflectional or rotational symmetry. 











Scatterplots 


HSCE 


MI Grade 11, Math HSCE 


S2.1.1 


Construct a scatterplot for a
bivariate data set with appropriate labels and scales. 








MI Grade 11, Math HSCE 


S2.1.2 


Given a scatterplot, identify
patterns, clusters, and outliers. Recognize no correlation, weak correlation,
and strong correlation. 








MI Grade 11, Math HSCE 


S2.1.3 


Estimate and interpret Pearson’s
correlation coefficient for a scatterplot of a bivariate data set. Recognize
that correlation measures the strength of linear association. 








MI Grade 11, Math HSCE 


S2.1.4 


Differentiate between
correlation and causation. Know that a strong correlation does not imply a
causeandeffect relationship. Recognize the role of lurking variables in
correlation. 








MI Grade 11, Math HSCE 


S2.2.1 


For bivariate data that appear
to form a linear pattern, find the least squares regression line by
estimating visually and by calculating the equation of the regression line.
Interpret the slope of the equation for a regression line. 








MI Grade 11, Math HSCE 


S2.2.2 


Use the equation of the least
squares regression line to make appropriate predictions. 











Vectors 


HSCE 


MI Grade 11, Math HSCE 


L1.2.3 


Use vectors to represent
quantities that have magnitude and direction, interpret direction and
magnitude of a vector numerically, and calculate the sum and difference of
two vectors. 











Convert Units 


HSCE 


MI Grade 11, Math HSCE 


L2.3.1 


Convert units of measurement
within and between systems; explain how arithmetic operations on measurements
affect units, and carry units through calculations correctly. 











Mathematical Reasoning and Logic 


HSCE 


MI Grade 11, Math HSCE 


L3.1.1 


Distinguish between inductive
and deductive reasoning, identifying and providing examples of each. 








MI Grade 11, Math HSCE 


L3.1.2 


Differentiate between
statistical arguments (statements verified empirically using examples or
data) and logical arguments based on the rules of logic. 








MI Grade 11, Math HSCE 


L3.1.3 


Define and explain the roles of
axioms (postulates), definitions, theorems, counterexamples, and proofs in
the logical structure of mathematics. Identify and give examples of each. 








MI Grade 11, Math HSCE 


L3.2.1 


Know and use the terms of basic
logic. 








MI Grade 11, Math HSCE 


L3.2.2 


Use the connectives “not,”
“and,” “or,” and “if…, then,” in mathematical and everyday settings. Know the
truth table of each connective and how to logically negate statements
involving these connectives. 








MI Grade 11, Math HSCE 


L3.2.3 


Use the quantifiers “there
exists” and “all” in mathematical and everyday settings and know how to
logically negate statements involving them. 








MI Grade 11, Math HSCE 


L3.2.4 


Write the converse, inverse, and
contrapositive of an “if…, then…” statement. Use the fact, in mathematical
and everyday settings, that the contrapositive is logically equivalent to the
original, while the inverse and converse are not. 








MI Grade 11, Math HSCE 


L3.3.1 


Know the basic structure for the
proof of an “if…, then…” statement (assuming the hypothesis and ending with
the conclusion) and that proving the contrapositive is equivalent. 








MI Grade 11, Math HSCE 


L3.3.2 


Construct proofs by
contradiction. Use counterexamples, when appropriate, to disprove a
statement. 








MI Grade 11, Math HSCE 


L3.3.3 


Explain the difference between a
necessary and a sufficient condition within the statement of a theorem.
Determine the correct conclusions based on interpreting a theorem in which
necessary or sufficient conditions in the theorem or hypothesis are satisfied. 











Angles 


HSCE 


MI Grade 11, Math HSCE 


G1.1.1 


Solve multistep problems and
construct proofs involving vertical angles, linear pairs of angles
supplementary angles, complementary angles, and right angles. 








MI Grade 11, Math HSCE 


G1.1.2 


Solve multistep problems and
construct proofs involving corresponding angles, alternate interior angles,
alternate exterior angles, and sameside (consecutive) interior angles. 











Distance and Midpoint 


HSCE 


MI Grade 11, Math HSCE 


G1.1.5 


Given a line segment in terms of
its endpoints in the coordinate plane, determine its length and midpoint. 











Triangles 


HSCE 


MI Grade 11, Math HSCE 


G1.2.1 


Prove that the angle sum of a
triangle is 180° and that an exterior angle of a triangle is the sum of the
two remote interior angles. 








MI Grade 11, Math HSCE 


G1.2.2 


Construct and justify arguments
and solve multistep problems involving angle measure, side length, perimeter,
and area of all types of triangles. 








MI Grade 11, Math HSCE 


G1.2.3 


Know a proof of the Pythagorean
Theorem, and use the Pythagorean Theorem and its converse to solve multistep
problems. 








MI Grade 11, Math HSCE 


G1.2.4 


Prove and use the relationships
among the side lengths and the angles of 30º 60º 90º triangles and 45º
45º 90º triangles. 








MI Grade 11, Math HSCE 


G1.2.5 


Solve multistep problems and
construct proofs about the properties of medians, altitudes, perpendicular
bisectors to the sides of a triangle, and the angle bisectors of a triangle.
Using a straightedge and compass, construct these lines. 











Trigonometry 


HSCE 


MI Grade 11, Math HSCE 


G1.3.1 


Define the sine, cosine, and
tangent of acute angles in a right triangle as ratios of sides. Solve
problems about angles, side lengths, or areas using trigonometric ratios in
right triangles. 








MI Grade 11, Math HSCE 


G1.3.2 


Know and use the Law of Sines
and the Law of Cosines and use them to solve problems. Find the area of a
triangle with sides a and b and included angle 


using
the formula Area = (1/2) absin 












MI Grade 11, Math HSCE 


G1.3.3 


Determine the exact values of
sine, cosine, and tangent for 0°, 30°, 45°, 60°, and their integer multiples
and apply in various contexts. 











Polygons 


HSCE 


MI Grade 11, Math HSCE 


G1.4.1 


Solve multistep problems and
construct proofs involving angle measure, side length, diagonal length,
perimeter, and area of squares, rectangles, parallelograms, kites, and
trapezoids. 








MI Grade 11, Math HSCE 


G1.4.2 


Solve multistep problems and
construct proofs involving quadrilaterals using Euclidean methods or
coordinate geometry. 








MI Grade 11, Math HSCE 


G1.4.3 


Describe and justify
hierarchical relationships among quadrilaterals. 








MI Grade 11, Math HSCE 


G1.4.4 


Prove theorems about the
interior and exterior angle sums of a quadrilateral. 








MI Grade 11, Math HSCE 


G2.1.1 


Know and demonstrate the
relationships between the area formula of a triangle, the area formula of a
parallelogram, and the area formula of a trapezoid. 








MI Grade 11, Math HSCE 


G2.1.2 


Know and demonstrate the
relationships between the area formulas of various quadrilaterals. 








MI Grade 11, Math HSCE 


G1.5.1 


Know and use subdivision or
circumscription methods to find areas of polygons. 








MI Grade 11, Math HSCE 


G1.5.2 


Know, justify, and use formulas
for the perimeter and area of a regular ngon and formulas to find interior
and exterior angles of a regular ngon and their sums. 











Circles 


HSCE 


MI Grade 11, Math HSCE 


G1.6.1 


Solve multistep problems
involving circumference and area of circles. 








MI Grade 11, Math HSCE 


G1.6.2 


Solve problems and justify
arguments about chords and lines tangent to circles. 








MI Grade 11, Math HSCE 


G1.6.3 


Solve problems and justify
arguments about central angles, inscribed angles, and triangles in circles. 








MI Grade 11, Math HSCE 


G1.6.4 


Know and use properties of arcs
and sectors and find lengths of arcs and areas of sectors. 











Surface Area and Volume 


HSCE 


MI Grade 11, Math HSCE 


G1.8.1 


Solve multistep problems
involving surface area and volume of pyramids, prisms, cones, cylinders,
hemispheres, and spheres. 








MI Grade 11, Math HSCE 


G2.1.3 


Know and use the relationship
between the volumes of pyramids and prisms (of equal base and height) and
cones and cylinders (of equal base and height). 











Drawing Objects 


HSCE 


MI Grade 11, Math HSCE 


G2.2.1 


Identify or sketch a possible
threedimensional figure, given twodimensional views. Create a
twodimensional representation of a threedimensional figure. 








MI Grade 11, Math HSCE 


G2.2.2 


Identify or sketch cross
sections of threedimensional figures. Identify or sketch solids formed by
revolving twodimensional figures around lines. 











Similar and Congruent Triangles 


HSCE 


MI Grade 11, Math HSCE 


G2.3.1 


Prove that triangles are
congruent using the SSS, SAS, ASA, and AAS criteria, and that right
triangles, are congruent using the hypotenuseleg criterion. 








MI Grade 11, Math HSCE 


G2.3.2 


Use theorems about congruent
triangles to prove additional theorems and solve problems, with and without
use of coordinates. 








MI Grade 11, Math HSCE 


G2.3.3 


Prove that triangles are similar
by using SSS, SAS, and AA conditions for similarity. 








MI Grade 11, Math HSCE 


G2.3.4 


Use theorems about similar
triangles to solve problems with and without use of coordinates. 











Change in Dimension 


HSCE 


MI Grade 11, Math HSCE 


G2.3.5 


Know and apply the theorem
stating that the effect of a scale factor of k relating one twodimensional
figure to another or one threedimensional figure to another, on the length,
area, and volume of the figures is to multiply each by k, k^{2}, and k^{3}, respectively. 











Object Transformations 


HSCE 


MI Grade 11, Math HSCE 


G3.1.1 


Define reflection, rotation,
translation, and glide reflection and find the image of a figure under a
given isometry. 








MI Grade 11, Math HSCE 


G3.1.2 


Given two figures that are
images of each other under an isometry, find the isometry and describe it
completely. 








MI Grade 11, Math HSCE 


G3.1.3 


Find the image of a figure under
the composition of two or more isometries and determine whether the resulting
figure is a reflection, rotation, translation, or glide reflection image of
the original figure. 








MI Grade 11, Math HSCE 


G3.2.1 


Know the definition of dilation
and find the image of a figure under a given dilation. 








MI Grade 11, Math HSCE 


G3.2.2 


Given two figures that are
images of each other under some dilation, identify the center and magniture
of the dilation. 











Counting Techniques 


HSCE 


MI Grade 11, Math HSCE 


L1.3.1 


Describe, explain, and apply
various counting techniques; relate combinations to Pascal’s triangle; know
when to use each technique. 











Complex Numbers 


HSCE 


MI Grade 11, Math HSCE 


L2.1.4 


Know that the complex number i is one of two solutions to x^{2} = 1. 








MI Grade 11, Math HSCE 


L2.1.5 


Add, subtract, and multiply
complex numbers; use conjugates to simplify quotients of complex numbers. 











Sequences and Series 


HSCE 


MI Grade 11, Math HSCE 


L2.2.1 


Find the nth term in arithmetic,
geometric, or other simple sequences. 








MI Grade 11, Math HSCE 


L2.2.2 


Compute sums of finite
arithmetic and geometric sequences. 








MI Grade 11, Math HSCE 


L2.2.3 


Use iterative processes in such
examples as computing compound interest or applying approximation procedures. 











Accuracy, Estimation, and Error 


HSCE 


MI Grade 11, Math HSCE 


L2.4.1 


Determine what degree of
accuracy is reasonable for measurements in a given situation; express
accuracy through use of significant digits, error tolerance, or percent of
error; describe how errors in measurements are magnified by computation;
recognize accumulated error in applied situations. 








MI Grade 11, Math HSCE 


L2.4.2 


Describe and explain roundoff
error, rounding, and truncating. 








MI Grade 11, Math HSCE 


L2.4.3 


Know the meaning of and
interpret statistical significance, margin of error, and confidence level. 











Polynomials and Rational Expressions 


HSCE 


MI Grade 11, Math HSCE 


A1.1.3 


Factor algebraic expressions
using, for example, greatest common factor, grouping, and the special product
identities. 








MI Grade 11, Math HSCE 


A1.1.4 


Add, subtract, multiply, and
simplify polynomials and rational expressions. 








MI Grade 11, Math HSCE 


A1.1.5 


Divide a polynomial by a
monomial. 











Polynomial and Rational Functions 


HSCE 


MI Grade 11, Math HSCE 


A1.2.5 


Solve polynomial equations and
equations involving rational expressions, and justify steps in the solution. 








MI Grade 11, Math HSCE 


A3.5.1 


Write the symbolic form and
sketch the graph of simple polynomial functions. 








MI Grade 11, Math HSCE 


A3.5.2 


Understand the effects of
degree, leading coefficient, and number of real zeros on the graphs of
polynomial functions of degree greater than 2. 








MI Grade 11, Math HSCE 


A3.5.3 


Determine the maximum possible
number of zeros of a polynomial function, and understand the relationship
between the xintercepts of the graph and the factored form of the function. 








MI Grade 11, Math HSCE 


A3.6.1 


Write the symbolic form and
sketch the graph of simple rational functions. 








MI Grade 11, Math HSCE 


A3.6.2 


Analyze graphs of simple
rational functions and understand the relationship between the zeros of the
numerator and denominator and the function’s intercepts, asymptotes, and
domain. 











Exponential and Logarithmic Functions 


HSCE 


MI Grade 11, Math HSCE 


L2.1.3 


Explain the exponential
relationship between a number and its base 10 logarithm and use it to relate
rules of logarithms to those of exponents in expressions involving numbers. 








MI Grade 11, Math HSCE 


L2.3.2 


Describe and interpret
logarithmic relationships in such contexts as the Richter scale, the pH
scale, or decibel measurements; solve applied problems. 








MI Grade 11, Math HSCE 


A1.1.6 


Transform exponential and
logarithmic expressions into equivalent forms using the properties of
exponents and logarithms, including the inverse relationship between
exponents and logarithms. 








MI Grade 11, Math HSCE 


A1.2.7 


Solve exponential and
logarithmic equations, and justify steps in the solution. 








MI Grade 11, Math HSCE 


A3.2.1 


Write the symbolic form and
sketch the graph of an exponential function given appropriate information. 








MI Grade 11, Math HSCE 


A3.2.2 


Interpret the symbolic forms and
recognize the graphs of exponential and logarithmic functions; recognize the
logarithmic function as the inverse of the exponential function. 








MI Grade 11, Math HSCE 


A3.2.3 


Apply properties of exponential
and logarithmic functions. 








MI Grade 11, Math HSCE 


A3.2.4 


Understand and use the fact that
the base of an exponential function determines whether the function increases
or decreases and understand how the base affects the rate of growth or decay. 








MI Grade 11, Math HSCE 


A3.2.5 


Relate exponential and
logarithmic functions to real phenomena, including halflife and doubling
time. 











Trigonometric Functions and
Equations 


GLCE 


MI Grade HS, Math GLCE 


L1.1.6 


Explain
the importance of the irrational numbers
2 and 3 in basic right
triangle trigonometry, and the importance of because of its role in circle
relationships. 









MI Grade HS, Math GLCE 


A1.2.10 


Use special values of the
inverse trigonometric functions to solve trigonometric equations over
specific intervals. 








MI Grade HS, Math GLCE 


A3.7.1 


Use the unit circle to define
sine and cosine; approximate values of sine and cosine; use sine and cosine
to define the remaining trigonometric functions; explain why the
trigonometric functions are periodic. 








MI Grade HS, Math GLCE 


A3.7.2 


Use the relationship between
degree and radian measures to solve problems. 








MI Grade HS, Math GLCE 


A3.7.3 


Use
the unit circle to determine the exact values of sine and cosine, for
integer multiples of /6 and /4. 












Graphs of Trigonometric Functions 


HSCE 


MI Grade 11, Math HSCE 


A3.7.4 


Graph the sine and cosine
functions; analyze graphs by noting domain, range, period, amplitude, and
location of maxima and minima. 








MI Grade 11, Math HSCE 


A3.7.5 


Graph transformations of basic
trigonometric functions (involving changes in period, amplitude, and midline)
and understand the relationship between constants in the formula and the
transformed graph. 











Conic Sections 


HSCE 


MI Grade 11, Math HSCE 


G1.7.1 


Find an equation of a circle
given its center and radius; given the equation of a circle, find its center
and radius. 








MI Grade 11, Math HSCE 


G1.7.2 


Identify and distinguish among
geometric representations of parabolas, circles, ellipses, and hyperbolas;
describe their symmetries, and explain how they are related to cones. 








MI Grade 11, Math HSCE 


G1.7.3 


Graph ellipses and hyperbolas
with axes parallel to the x and yaxes, given equations. 











Interpret Graphs 


HSCE 


MI Grade 11, Math HSCE 


L1.2.4 


Organize and summarize a data
set in a table, plot, chart, or spreadsheet; find patterns in a display of
data; understand and critique data displays in the media. 








MI Grade 11, Math HSCE 


S1.1.1 


Construct and interpret dot
plots, histograms, relative frequency histograms, bar graphs, basic control
charts, and box plots with appropriate labels and scales; determine which
kinds of plots are appropriate for different types of data; compare data sets
and interpret differences based on graphs and summary statistics. 











Box Plots 


HSCE 


MI Grade 11, Math HSCE 


L1.2.4 


Organize and summarize a data
set in a table, plot, chart, or spreadsheet; find patterns in a display of
data; understand and critique data displays in the media. 








MI Grade 11, Math HSCE 


S1.1.1 


Construct and interpret dot
plots, histograms, relative frequency histograms, bar graphs, basic control
charts, and box plots with appropriate labels and scales; determine which
kinds of plots are appropriate for different types of data; compare data sets
and interpret differences based on graphs and summary statistics. 











Central Tendency and Distributions 


HSCE 


MI Grade 11, Math HSCE 


L2.1.1 


Explain the meaning and uses of
weighted averages. 








MI Grade 11, Math HSCE 


S1.1.2 


Given a distribution of a
variable in a data set, describe its shape, including symmetry or skewness,
and state how the shape is related to measures of center (mean and median)
and measures of variation (range and standard deviation) with particular attention
to the effects of outliers on these measures. 








MI Grade 11, Math HSCE 


S1.2.1 


Calculate and interpret measures
of center including: mean, median, and mode; explain uses, advantages and
disadvantages of each measure given a particular set of data and its context. 








MI Grade 11, Math HSCE 


S1.2.2 


Estimate the position of the
mean, median, and mode in both symmetrical and skewed distributions, and from
a frequency distribution or histogram. 








MI Grade 11, Math HSCE 


S1.2.3 


Compute and interpret measures
of variation, including percentiles, quartiles, interquartile range,
variance, and standard deviation. 








MI Grade 11, Math HSCE 


S1.3.1 


Explain the concept of
distribution and the relationship between summary statistics for a data set
and parameters of a distribution. 








MI Grade 11, Math HSCE 


S1.3.2 


Describe characteristics of the
normal distribution, including its shape and the relationships among its
mean, median, and mode. 








MI Grade 11, Math HSCE 


S1.3.3 


Know and use the fact that about
68%, 95%, and 99.7% of the data lie within one, two, and three standard
deviations of the mean, respectively in a normal distribution. 








MI Grade 11, Math HSCE 


S1.3.4 


Calculate zscores, use zscores
to recognize outliers, and use zscores to make informed decisions. 











Sampling Analysis 


HSCE 


MI Grade 11, Math HSCE 


S3.1.1 


Know the meanings of a sample
from a population and a census of a population, and distinguish between
sample statistics and population parameters. 








MI Grade 11, Math HSCE 


S3.1.2 


Identify possible sources of
bias in data collection and sampling methods and simple experiments; describe
how such bias can be reduced and controlled by random sampling; explain the
impact of such bias on conclusions made from analysis of the data; and know
the effect of replication on the precision of estimates. 








MI Grade 11, Math HSCE 


S3.1.3 


Distinguish between an
observational study and an experimental study, and identify, in context, the
conclusions that can be drawn from each. 











Probablility Theory 


HSCE 


MI Grade 11, Math HSCE 


L1.3.2 


Define and interpret commonly
used expressions of probability. 








MI Grade 11, Math HSCE 


L1.3.3 


Recognize and explain common
probability misconceptions such as “hot streaks” and “being due.” 








MI Grade 11, Math HSCE 


S4.1.1 


Understand and construct sample
spaces in simple situations. 








MI Grade 11, Math HSCE 


S4.1.2 


Define mutually exclusive
events, independent events, dependent events, compound events, complementary
events and conditional probabilities; and use the definitions to compute
probabilities. 








MI Grade 11, Math HSCE 


S4.2.1 


Compute probabilities of events
using tree diagrams, formulas for combinations and permutations, Venn
diagrams, or other counting techniques. 














SCIENCE: 





Biology 


Inquiry,
Reflection, and Social Implication  Scientific Investigations 


GLCE 


MI Grade High School, Biology
GLCE 


B1.1A 


Generate new questions that can
be investigated in the laboratory or field. 








MI Grade High School, Biology
GLCE 


B1.1B 


Evaluate the uncertainties or
validity of scientific conclusions using an understanding of sources of
measurement error, the challenges of controlling variables, accuracy of data
analysis, logic of argument, logic of experimental design, and/or the dependence
on underlying assumptions. 








MI Grade High School, Biology
GLCE 


B1.1C 


Conduct scientific
investigations using appropriate tools and techniques (e.g., selecting an
instrument that measures the desired quantity—length, volume, weight, time
interval, temperature—with the appropriate level of precision). 








MI Grade High School, Biology
GLCE 


B1.1D 


Identify patterns in data and
relate them to theoretical models. 








MI Grade High School, Biology
GLCE 


B1.1E 


Describe a reason for a given
conclusion using evidence from an investigation. 








MI Grade High School, Biology
GLCE 


B1.2A 


Critique whether or not specific
questions can be answered through scientific investigations. 








MI Grade High School, Biology
GLCE 


B1.2B 


Identify and critique arguments
about personal or societal issues based on scientific evidence. 











Chemistry 


GLCE 


MI Grade High School, Chemistry
GLCE 


C1.1A 


Generate new questions that can
be investigated in the laboratory or field. 








MI Grade High School, Chemistry
GLCE 


C1.1B 


Evaluate
the uncertainties or validity of scientific conclusions using an
understanding of sources of measurement error, the challenges of controlling
variables, accuracy of data analysis, logic of argument, logic of
experimental design, and/or the dependence on underlying assumptions. 








MI Grade High School, Chemistry
GLCE 


C1.1C 


Conduct scientific
investigations using appropriate tools and techniques (e.g., selecting an
instrument that measures the desired quantity—length, volume, weight, time
interval, temperature—with the appropriate level of precision). 








MI Grade High School, Chemistry
GLCE 


C1.1D 


Identify patterns in data and
relate them to theoretical models. 








MI Grade High School, Chemistry
GLCE 


C1.1E 


Describe a reason for a given
conclusion using evidence from an investigation. 








MI Grade High School, Chemistry
GLCE 


C1.2A 


Critique whether or not specific
questions can be answered through scientific investigations. 








MI Grade High School, Chemistry
GLCE 


C1.2B 


Identify and critique arguments
about personal or societal issues based on scientific evidence. 











Earth Science 


GLCE 


MI Grade High School, Earth
Science GLCE 


E1.1A 


Generate new questions that can
be investigated in the laboratory or field. 








MI Grade High School, Earth
Science GLCE 


E1.1B 


Evaluate the uncertainties or
validity of scientific conclusions using an understanding of sources of
measurement error, the challenges of controlling variables, accuracy of data
analysis, logic of argument, logic of experimental design, and/or the dependence
on underlying assumptions. 








MI Grade High School, Earth
Science GLCE 


E1.1C 


Conduct scientific
investigations using appropriate tools and techniques (e.g., selecting an
instrument that measures the desired quantity—length, volume, weight, time
interval, temperature—with the appropriate level of precision). 








MI Grade High School, Earth
Science GLCE 


E1.1D 


Identify patterns in data and
relate them to theoretical models. 








MI Grade High School, Earth
Science GLCE 


E1.1E 


Describe a reason for a given
conclusion using evidence from an investigation. 








MI Grade High School, Earth
Science GLCE 


E1.2A 


Critique whether or not specific
questions can be answered through scientific investigations. 








MI Grade High School, Earth
Science GLCE 


E1.2B 


Identify and critique arguments
about personal or societal issues based on scientific evidence. 











Physics 


GLCE 


MI Grade High School, Physics
GLCE 


P1.1A 


Generate new questions that can
be investigated in the laboratory or field. 








MI Grade High School, Physics
GLCE 


P1.1B 


Evaluate the uncertainties or
validity of scientific conclusions using an understanding of sources of
measurement error, the challenges of controlling variables, accuracy of data
analysis, logic of argument, logic of experimental design, and/or the dependence
on underlying assumptions. 








MI Grade High School, Physics
GLCE 


P1.1C 


Conduct scientific
investigations using appropriate tools and techniques (e.g., selecting an
instrument that measures the desired quantity–length, volume, weight, time
interval, temperature–with the appropriate level of precision). 








MI Grade High School, Physics
GLCE 


P1.1D 


Identify patterns in data and
relate them to theoretical models. 








MI Grade High School, Physics
GLCE 


P1.1E 


Describe a reason for a given
conclusion using evidence from an investigation. 








MI Grade High School, Physics
GLCE 


P1.2A 


Critique whether or not specific
questions can be answered through scientific investigations. 








MI Grade High School, Physics
GLCE 


P1.2B 


Identify and critique arguments
about personal or societal issues based on scientific evidence. 











