Grade 3 Reading
Proficiency Levels	Standard 1
Advanced	Third grade students are advanced in Reading Comprehension if they can comprehend a variety of texts including narrative (such as realistic fiction, fantasy, and legends), expository, and poetry in an in-depth manner. * Restate and evaluate main idea and significant details, problem and solution, and cause and effect * Paraphrase and summarize information * Analyze the sequence of events * Identify and infer character traits and motives, the theme of a narrative, and meaning from figurative language, including metaphor and personification * Interpret complex or content specific vocabulary * Reread and search text to confirm less obvious information and meaning. * Draw conclusions by inferring from the text using higher levels of thinking.

                                                                        Grade 4 Reading

Proficiency Levels	Standard 1	Standard 4
Advanced	An advanced student uses multiple strategies to read a variety of selections to demonstrate a deeper understanding (e.g., insight into text) by: * writing a complete, thorough summary * completing complex non-linear sequencing * recalling details with inference (e.g., making connections between details or ideas) * using context clues for words with unusual or abstract meanings	An advanced student responds to a specific text by: * thoroughly categorizing facts and details using a graphic organizer * differentiating fact from opinion * evaluating the main idea * defining both a problem and a solution * defending and thoroughly supporting a reaction to a text * interpreting the author's style

                                                Grade 4 Reading

Standard 5

Standard 6

An advanced student demonstrates skill in finding and using information from a complex variety of sources by: * identifying and using the organizational features of a book (e.g., glossary, index, or table of contents) * following a complex set of instructions * discriminating among a wide variety of reference materials * applying reasoning skills * interpreting factual material displayed in a non-traditional way

An advanced student demonstrates the ability to read and respond to literature by: * generating character traits and motives for characters' actions * identifying many details from context to thoroughly answer a question * supporting an opinion with specific details from text * classifying vocabulary in abstract ways * interpreting poetry and folk tales in a more abstract manner with a more complete understanding of figurative language (e.g., personification, symbolism)

                                                            Grade 5 Reading

Proficiency Levels	Standard 1	Standard 4
Advanced	Fifth-grade students are advanced when they use multiple strategies to read a variety of selections and demonstrate insight into text by * identifying meaning of an unfamiliar word without context and with unusual or abstract meaning * applying complex thinking skills to identify main idea * locating and interpreting details in expository text	Fifth-grade students are advanced when they respond to a specific text by * generating solutions to problems * applying information to a new situation

                                         Grade 5 Reading

Standard 5

Standard 6

Fifth-grade students are advanced when they demonstrate skill in finding and using information from a variety of complex sources by * locating information within a complex bibliography and other reference sources * selecting appropriate information in dictionary, glossary, and other sources * interpreting diagrams to apply information

Fifth-grade students are advanced when they demonstrate the ability to read and respond to literature by * inferring a character trait and supporting with details from text * using knowledge of complex literary techniques (e.g., symbolism and metaphor) and literary elements (e.g., suspense) to interpret a variety of text * reading and responding to a variety of literature from people and places that are unfamiliar * identifying theme or symbolism in a variety of literature

                                                Grade 6 Reading

Proficiency Levels	Standard 1	Standard 4
Advanced	Sixth-grade students are advanced when they use multiple strategies to read a variety of selections and demonstrate insight into text by * determining the meaning of complex vocabulary with or without context clues * locating and recalling sequences within a variety of genres * identifying essential details, main ideas, and themes in a complex text * drawing inferences by creating connections within a variety of texts * locating and recalling information in a variety of complex texts	Sixth-grade students are advanced when they respond to a specific text by * drawing conclusions and supporting them with details from complex texts * making predictions based on characters' actions * distinguishing fact from opinion in complex texts * analyzing and explaining figurative language in a concrete way * using relevant details from text to solve problems

                                              Grade 6 Reading

Standard 5

Standard 6

Sixth-grade students are advanced when they demonstrate skill in finding and using information from a variety of complex sources by * organizing information into complex graphic organizers using selected relevant information * selecting information to support ideas and justifying the selection from nonfiction text * locating information in reference materials such as glossary * using organizational features to locate information

Sixth-grade students are advanced when they demonstrate the ability to read and respond to literature by * identifying events in sequence * identifying literary elements such as theme, problem/solution; and explaining relationships * generating character traits and providing textual support * interpreting figurative language in sophisticated text * identifying literary techniques such as humor and dialect * describing details in a complete way from a variety of genres

                                                Grade 7 Reading

Proficiency Levels	Standard 1	Standard 4
Advanced	An advanced student, when reading a variety of selections, uses multiple strategies to construct and demonstrate higher levels of comprehension. * Determining the meaning of complex vocabulary * Drawing inferences by creating connections between texts * Identifying essential details and main ideas * Justifying and supporting conclusions about text * Comparing texts with similar themes	An advanced student responds to a specific text by: * Making predictions from complex text * Determining an author's purpose and point of view * Distinguishing between fact and opinion in complex text * Analyzing poetry * Drawing conclusions, solving problems, and answering questions based on complex text

                                                Grade 7 Reading

Standard 5	Standard 6
An advanced student demonstrates skill in finding and using information from a complex variety of sources by: * Discovering applicable information in a text * Organizing and synthesizing information from a complex texts * Identifying organizational features of a complex text * Finding pertinent information in a complex text	An advanced student demonstrates the ability to read and respond to literature by: * Identifying and analyzing the use of figurative language in complex texts * Interpreting abstract concepts within a text

                                                Grade 8 Reading

Standard 1

Standard 4

Eighth-grade students are advanced when they use multiple strategies to read a variety of selections and demonstrate insight into text by * discriminating between plausible definitions, using isolated vocabulary * inferring characters' attitudes, using complex vocabulary * evaluating information and drawing conclusions * completing a sequence of closely related and/or complex events and details * paraphrasing short text * making comparisons and locating supporting details * identifying details and discriminating among plausible answers * explaining relationships between characters and supporting with details from text * identifying genres of text * identifying main idea in sophisticated text * using details from multiple sources to make comparisons * drawing conclusions and supporting with details from multiple texts

Eighth-grade students are advanced when they respond to a specific text by * analyzing complex poetry to determine cause and effect * identifying multiple examples of descriptive language in narrative text * inferring characters' attitudes based on actions * stating author's purpose and supporting with details * interpreting complex vocabulary to draw conclusions about characters * identifying author's secondary purposes * applying thinking skills of synthesis and analysis to complex texts * generating multiple solutions consistent with the tone of a text * applying multiple examples of descriptive language to support a generalization

                                                Grade 8 Reading

Standard 5	Standard 6
Eighth-grade students are advanced when they demonstrate skills in finding and using information from a variety of complex sources by * collecting and organizing data to form and defend an opinion * identifying purpose and analyzing text features * sequencing events and adding significant details to a sequence * analyzing expository text structure	Eighth-grade students are advanced when they demonstrate the ability to read and respond to literature by * determining character traits with multiple examples from narrative text * inferring character motivation * identifying and applying knowledge of literary techniques to understand text * making inferences about characters in historical fiction

Grade 9 Reading

Standard 1

Standard 4

Ninth-grade students are advanced when they use multiple strategies to read a variety of materials and demonstrate insight into text by * identifying multiple word meanings and idiomatic expressions * supporting multiple generalizations with multiple details from text * inferring to determine cause and effect relationships * identifying meanings of less common words without context * identifying text genre

Ninth-grade students are advanced when they respond to a specific text by * analyzing narrative text to determine tone * applying knowledge of literary allusions to determine meaning * inferring by visualizing actions in text * synthesizing metaphorical language to make personal connections and comparisons and/or draw conclusions * evaluating inferences to determine author's purpose * incorporating generalizations made from metaphorical thinking and supporting them with details from the text * analyzing sophisticated stylistic techniques (e.g., humor) and supporting analysis with examples from text * making inferences about author's background/past experience

                                    Grade 9 Reading

Standard 5

Standard 6

Ninth-grade students are advanced when they demonstrate skill in finding and using information from a variety of complex sources by * drawing conclusions from multiple sources * rereading to locate relevant information from text and transfer graphic representation * analyzing information to determine its logical location within a graphic display * discovering applicable information from a variety of media * determining relevance of information for a specified purpose

Ninth-grade students are advanced when they demonstrate the ability to read and respond to more complex literature by * interpreting and explaining author's intent and/or theme * interpreting figurative language to draw conclusions * discerning how author's style adds meaning to text

                                                Grade 10 Reading

Standard 1

Standard 4

Tenth-grade students are advanced when they use multiple strategies to read a variety of selections and demonstrate insight into text by * inferring main idea in a complex nonfiction passage * defining challenging vocabulary using structural clues and context clues * making a connection between two texts * summarizing a complex event from various texts (e.g., personal narrative, novel excerpts) * supporting a conclusion using details * interpreting a character's behavior * reading carefully and identifying details in complex text * analyzing cause and effect relationships presented in text * synthesizing elements of text to infer an implied theme * differentiating between factual and emotional appeals * identifying word meaning and words in context

Tenth-grade students are advanced when they respond to a specific text by * analyzing poetry to determine author's viewpoint to support a given thesis from a critical text * inferring author's purpose * analyzing news articles or other nonfiction to identify speaker's tone and viewpoint * inferring authors' viewpoints from various technical texts * inferring author's purpose and tone * analyzing complex text in order to draw a conclusion * drawing conclusions based on sophisticated analysis of text to identify and explain author's viewpoint * evaluating a poem critically and supporting personal interpretation and the author's viewpoint

Grade 10 Reading

Standard 5

Standard 6

Tenth-grade students are advanced when they demonstrate skill in finding and using information from a variety of complex sources by * locating several relevant pieces of information in a text * drawing relevant information from charts, graphs, and maps to support an argument in nonfiction * reading complex source material carefully to identify paraphrased information * using organizational features of printed text and graphics to compare and contrast relevant information * using organizational features in a bibliography to locate relevant information * using organizational features of research tools to identify availability of various source materials

Tenth-grade students are advanced when they demonstrate the ability to read and respond to literature by * reading and responding to narrative by identifying theme and supporting that opinion with specific details from the text * applying knowledge of personification to poetry * responding to poetry by inferring details from the context * discriminating among literary techniques used in classic literature * supporting a thesis statement across multiple texts from different historical periods * identifying themes by making multiple abstract inferences about characters' behavior * distinguishing between examples of symbolism and nonsymbolic text in fiction * providing extended support for a given thesis in literature * applying knowledge of the elements of characterization * interpreting symbolism in poetry in a basic manner

Grade 3 Writing           

Standard 2	Standard 3
In independent, unrevised writing, some students may demonstrate use of exceptional writing skills by * staying focused on a central idea * elaborating an idea using specific and interesting details * providing relevant information in response to a prompt	Given text, students demonstrate exceptional knowledge of * capitalization of proper nouns and correct end punctuation in more abstract sentences * construction of complete sentences with a variety of beginnings * spelling rules and conventions

Grade 4 Writing

Standard 2

In independently revised writing, students demonstrate use of exceptional writing skills by
* producing clear, focused, fluent, developed, and organized writing for the purpose specified in the prompt
* using details and word choice that support the central idea and are appropriate for the given audience
* using a variety of sentence structures
* showing evidence of the use of transitions
In independent, unrevised writing, students demonstrate use of exceptional writing skills by
* including relevant details, examples, and anecdotes that support the central idea
* using accurate word choice
In independent writing, some students may also demonstrate use of exceptional writing skills by
* creating crafted and controlled writing that engages the audience
* using striking language
* using an effective variety of sentence structures and lengths
Given text, students demonstrate exceptional knowledge of
* advanced vocabulary
* appropriate topic sentences and concluding sentences for a paragraph

Standard 3

Given text, students demonstrate exceptional knowledge of
* discrimination between complete sentences and sentence fragments
* identification of correct sentences among sentences with complex errors
* forms of modifiers
* use of commas in direct address
* punctuation in dialogues

                                                Grade 5 Writing

Standard 2

In independently revised writing, students demonstrate use of exceptional writing skills by
* producing fluid writing
* developing a clear and focused topic
* including relevant information with supporting details
* mixing general, precise, and some higher-level vocabulary
In independently revised writing, some students may also demonstrate use of exceptional writing skills by
* producing writing that is controlled and engaging
* using a striking variety of vocabulary and sentence structure
In independent, unrevised writing, students demonstrate use of exceptional writing skills by
* producing writing that is organized
* developing a clear topic
* including relevant information with details
* using accurate vocabulary
* using a variety of sentence structures
In independently unrevised writing, some students may also demonstrate use of exceptional writing skills by
* including numerous relevant and supporting details
* including paragraphs with well-developed content and form
Given text, students demonstrate exceptional knowledge of
* paragraph development
* topic sentences
* higher-level vocabulary
* complex sentence structure
Given text, some students may also demonstrate exceptional knowledge of
* complex paragraph development
* content and form of complex topic sentences
* sophisticated vocabulary

Standard 3

Given text, students demonstrate exceptional knowledge of
* use of consistent verb tense in complex and compound sentences
* comparative adjectives
* use of punctuation in complex sentences involving dialogue
* subject-verb agreement
* complex sentence structure
* parts of speech
Given text, some students may also demonstrate exceptional knowledge of complex grammatical distinctions.

                                                            Grade 6 Writing

Standard 2

In independently revised writing, students demonstrate use of exceptional writing skills by
* producing focused, organized, and fluid writing
* including details that support the main idea
* using logical and complex paragraph structure
* using some higher-level vocabulary and some striking language
* including transitional words and phrases in a sophisticated manner
In independent writing, some students may also demonstrate use of exceptional writing skills by
* producing elaborately developed and engaging writing
* effectively controlling the topic
* using complex sentence structure
* experimenting with advanced vocabulary and figurative language
Given text, students demonstrate exceptional knowledge of
* paragraph development
* topic sentences
* complex sentence structure
* higher-level vocabulary

Standard 3

Given text, students demonstrate exceptional knowledge of
* conventional grammar, usage, punctuation, capitalization, and spelling
* parts of speech
* letter-writing conventions
* distinction between complex, complete sentences and complex fragments
* punctuation in complex sentences involving dialogue
* use of apostrophes
Given text, some students may also demonstrate exceptional knowledge of
* linking verbs
* subjective and objective forms of pronouns
* use of commas in sentences with complex clausal structure
* use of capitalization in titles

                                                            Grade 7 Writing

Standard 2

In independent writing, students demonstrate use of exceptional writing skills by
* Using precise vocabulary with some figurative language and visual imagery
* Demonstrating effective variety of sentence beginnings, structures, and lengths
* Creating readable, fluent, and nearly error-free text
* Meeting all the requirements of the writing prompt
* Engaging audience
In independent writing, some students may also demonstrate use of exceptional writing skills by
* Defining and developing the topic
* Incorporating relevant details to support the main idea
* Using transitions to connect ideas
* Connecting ideas implicitly
Given text, students demonstrate exceptional knowledge of
* Precise vocabulary with some figurative language
* Effective variety of sentence beginnings, structures, and lengths

Standard 3

Given text, students demonstrate exceptional knowledge of
* Capitalization and punctuation
* Complete sentences
* Parts of speech such as verbs, adverbs, adjectives, and pronouns
* Standard English usage, such as subject-verb agreement
* Correct spelling of complex words

            Grade 8 Writing

Standard 2

In independent writing, students demonstrate use of exceptional writing skills by
* Using words that are accurate, specific, and appropriate for the purpose of the writing
* Creating readable, neat, fluent text
* Engaging audience
* Using details to support the main idea
* Recognizing multiple meanings in word choice
Given text, students demonstrate exceptional knowledge of
* Development of ideas and content
* Vivid and precise vocabulary

Standard 3

Given text, students demonstrate exceptional knowledge of
* Standard English usage, such as pronoun-antecedent agreement and plural nouns
* Capitalization and punctuation

                                                Grade 9 Writing

Standard 2

In independent writing, students demonstrate use of exceptional writing skills by
* consistently staying focused on given prompts
* demonstrating a conscious effort to engage the audience
* reflecting invention, logical development, and elaboration
* providing inviting introductions and solid conclusions
* effectively selecting appropriate details and examples to support key ideas
* demonstrating fluent movement of ideas with clear transitions
* using vivid and purposeful vocabulary with some striking figurative language
* effectively varying sentence structure
* demonstrating control of explanation, persuasion, analysis, or reflection
Given text, students demonstrate exceptional knowledge of identifying multiple meanings of words.

Standard 3

Given text, students demonstrate exceptional knowledge of
* verbal phrases and relative pronouns
* run-on sentences
* use of parallel structure in a sentence
* punctuation of sentences with adverb/adjective clauses
* punctuation of sentences with direct quotes
* punctuation of salutations in correspondence
Given text, some students may also demonstrate exceptional knowledge of
* the previous skills at a higher level
* editing for spelling of commonly misspelled words

                                                            Grade 10 Writing

Standard 2

In independent writing, students demonstrate use of exceptional writing skills by
* consistently producing text that stays fully focused on given prompts
* demonstrating intent to engage the audience with content and stylistically driven choices appropriate for audience and purpose
* creating inviting introductions, logical arrangements of ideas, and satisfying conclusions
* using transitions that demonstrate a command of the language and an understanding of subordination and coordination
* using subtle and refined word choices
* varying sentence beginnings, structures, and lengths
In independent writing, some students may also demonstrate use of exceptional writing skills by
* using figurative language and employing imagery
* incorporating multiple supporting details
* using advanced and precise vocabulary

Standard 3

Given text, students demonstrate exceptional knowledge of
* verbal phrases
* subject-verb agreement in complex sentences
* run-on sentences
* correct use of phrases and clauses as modifiers
* correct use of relative pronouns
* punctuation of possessive pronouns
* punctuation in direct quotes and correspondence
* spelling of commonly misspelled words
Given text, some students may also demonstrate exceptional knowledge of a higher level of the previous skills.

                                                            Grade 3 Math

Standard 1	Standard 2
* Skip-counting to locate numbers on number lines * Solving problems using fractional parts of drawings or sets * Demonstrating and using estimation strategies to solve problems	*Solving word problems by applying information from graphs or tables * Determining how changes in one quantity effects changes in others

Standard 3

* Interpreting and drawing conclusions using a graph
* Reading, interpreting, and completing graphs in problem solving situations
* Identifying all possible combinations of matching the elements of two sets given pictures

                                                                        Grade 3 Math

Standard 4	Standard 5
* Identifying, describing, and reproducing characteristics of two-dimensional figures * Recognizing two-dimensional figures with right angles * Distinguishing figures which are congruent * Creating figures with at least one line of symmetry * Identifying and creating a line of symmetry for regular polygons and other familiar objects	No evidence of this standard at this performance level

Standard 6

* Solving computations using money notation
* Analyzing information in graphs to solve problems
* Demonstrating and using estimation strategies to solve problems

                                                            Grade 4 Math

Standard 1

Standard 2

* Estimating sums of two 3-digit numbers * Determining and communicating reasonableness of answers using estimation * Estimating to solve real-world problems with money and fractional parts * Identifying pictorial representations of common decimals * Arranging 4-digit numbers to create the largest number possible * Identifying place values in 4-digit numbers * Choosing appropriate operations in estimating solutions to real-world problems * Explaining thought processes when estimating sums of two 3-digit numbers

* Extending patterns in real-world situations using whole number multiplication * Describing, extending, and giving rules for geometrical patterns * Recognizing, extending, and explaining numerical patterns in tables * Identifying and describing rules from geometrical and numerical models

Standard 3

* Constructing displays of data including tables, charts, pictographs, and bar graphs
* Identifying all possible combinations of two sets of elements
* Finding the median in sets of data

                                                                        Grade 4 Math

Standard 4	Standard 5
* Identifying and drawing lines of symmetry * Identifying attributes of common polygons * Finding and constructing area of squares and rectangles in grids * Finding right angles * Constructing rectangles and squares with given perimeter on grids * Applying knowledge of attributes to identify polygons * Determining the length and width of given perimeters to construct polygons	* Constructing shapes with given perimeters * Measuring perimeters of figures to the nearest 1/2 inch * Determining appropriate metric measurements for common objects * Applying conditions to construct polygons

Standard 6

* Multiplying three 1-digit factors out of context
* Choosing the correct operation (division) to solve real-world problems
* Subtracting commonly used fractions using pictures
* Dividing 2-digit numbers by 1-digit divisors out of context
* Using graphic representations to explain the conceptual meaning of multiplication in real-world situations and applying the concept of subtraction by writing story problems with 2 out of 3 numbers remaining the same
* Using multiplication and division to solve real world problems

                                                                        Grade 5 Math

Standard 1

Standard 2

Students demonstrate exceptional use of number sense and use of numbers by * Explaining conjectures using properties and characteristics of whole numbers * Recognizing and generating equivalent representations by decomposing and composing numbers * Demonstrating and justifying square numbers using pictures * Ordering fractions, decimals, and positive rational numbers by place values * Demonstrating the equivalent relationship between commonly used fractions and percents Students may also demonstrate exceptional use of number sense and use of numbers by * Identifying and describing numbers by their characteristics * Analyzing and explaining square numbers using pictures, numbers, and words * Using estimation to find the reasonableness of solutions to problems

Students demonstrate exceptional use of algebraic methods to explore, model, and describe patterns and functions by * Analyzing, explaining, and extending patterns to complete tables in problem-solving situations * Explaining how the change in one quantity results in the change of another quantity in function tables or in problem-solving situations * Exploring, describing, and extending growing patterns in tables through the use of algebraic methods Students may also demonstrate exceptional use of algebraic methods to explore, model, and describe patterns and functions by * Analyzing, creating, and extending growing geometric patterns and communicating the pattern in words

Standard 3

Students demonstrate exceptional use of data collection and analysis, statistics, and probability by
* Analyzing and justifying displays of data to support positions or make decisions
* Analyzing and formulating conclusions from pictographs
* Analyzing and justifying predictions based on given data and chance devices
Students may also demonstrate exceptional use of data collection and analysis, statistics, and probability by
* Constructing, interpreting, and justifying displays of data to support positions or make decisions in problem-solving situations

                                                                        Grade 5 Math

Standard 4

Standard 5

Students demonstrate exceptional use of geometric concepts, properties, and relationships by * Using geometric concepts, properties, and relationships to solve problems * Locating points on coordinate graphs * Identifying and drawing various geometric shapes and describing shapes by attributes Students may also demonstrate exceptional use of geometric concepts, properties, and relationships by * Recognizing and drawing complex figures around lines of symmetry * Recognizing results of flipping, sliding, or turning two-dimensional figures * Utilizing geometric concepts, properties, attributes, and relationships to communicate problem-solving situations

Students demonstrate exceptional use of a variety of tools and techniques to measure by * Estimating the measurement of angles * Selecting and using appropriate standard units of measurement to solve problems * Measuring on scale diagrams to solve problems * Using tools provided to measure and combine lengths to find perimeters

Standard 6

Students demonstrate exceptional use of computational techniques in problem-solving situations by
* Using given math operations for computing whole numbers with two- and three-digit numbers
* Using graphic representations to demonstrate the conceptual meanings of operations in problem-solving situations
* Determining and utilizing estimation and computation strategies to solve problems
* Determining and using appropriate math operations for computing whole numbers, decimals, and fractions in problem-solving situations

Grade 6 Math

Standard 1

Standard 2

Students demonstrate exceptional use of number sense and use of numbers by * Estimating and solving problems involving decimals * Estimating fractions from visual representations * Demonstrating equivalent relationships among fractions and percents in problem-solving situations * Demonstrating equivalent relationships among decimals and fractions * Applying the concept of multiples in problem-solving situations * Applying number theory concepts in problem-solving situations * Using visual representations of fractions to demonstrate equivalence of fractional parts and percent of parts Students may also demonstrate exceptional use of number sense and use of numbers by * Demonstrating conceptual understanding and communicating reasoning about fractions and percents * Using decimals to estimate in problem-solving situations * Applying number theory concepts to determine described numbers

Students demonstrate exceptional use of algebraic methods to explore, model, and describe patterns and functions by * Solving problems by extending complex geometric and numeric patterns using pictures, tables, words, or symbols * Generalizing patterns and using words to describe rules for extending patterns * Predicting and describing how a change in one quantity results in a change in another quantity * Communicating the reasoning used in solving problems involving linear patterns Students may also demonstrate exceptional use of algebraic methods to explore, model, and describe patterns and functions by * Solving real-world problems by generalizing and extending patterns * Using algebraic methods to solve ratio and proportion problems

Standard 3

Students demonstrate exceptional use of data collection and analysis, statistics, and probability by
* Constructing, analyzing, and drawing conclusions based on bar graphs
* Analyzing and comparing data from bar graphs
* Describing events as likely or unlikely based on sets of data
* Describing and analyzing data on line graphs
Students may also demonstrate exceptional use of data collection and analysis, statistics, and probability by
* Interpreting and making inferences using data on circle graphs

                                                                        Grade 6 Math

Standard 4

Standard 5

Students demonstrate exceptional use of geometric concepts, properties, and relationships by * Identifying geometric attributes in 2-dimensional figures * Recognizing parallelism and perpendicularity among parts of 2-dimensional shapes * Applying geometric spatial realism in transformations * Creating geometric shapes with similar attributes within a coordinate plane * Creating and identifying symmetry in multi-sided geometric figures Students may also demonstrate exceptional use of geometric concepts, properties, and relationships by * Using coordinate geometry to identify missing plots within spatial settings * Identifying x- and y-coordinates * Recognizing slope * Interpreting geometric attributes using "always" and "never"

Students demonstrate exceptional use of a variety of tools and techniques to measure by * Identifying intervals between data points on graphs to estimate measurements * Recognizing direct measurements of temperature for comparative values * Comparing perimeter measurements for multiple polygons * Identifying a procedure to find measures of a figure Students may also demonstrate exceptional use of a variety of tools and techniques to measure by * Using measurement to identify distances in scale diagrams

Standard 6

Students demonstrate exceptional use of computational techniques in problem-solving situations by
* Adding decimals with different place values
* Applying computational methods to solve multistep problems using decimals
* Applying computational methods to solve multistep problems using mixed numbers and fractions
* Applying ratios and proportions in real-world situations
Students may also demonstrate exceptional use of computational techniques in problem-solving situations by
* Subtracting mixed numbers with like denominators

                                                Grade 7 Math

Standard 1

Standard 2

Students demonstrate exceptional use of number sense and use of numbers by * Applying equivalent representations of rational numbers, decimals, and fractions, in problem-solving situations * Recognizing and using fractional parts of a geometric figure in multistep problem-solving situations * Applying fractions, decimals, and percents in problem-solving situations Students may also demonstrate exceptional use of number sense and use of numbers by * Recognizing and using the relationship among non-equivalent fractional parts in multistep problem-solving situations * Applying fractions, decimals, and percents in problem-solving situations

Students demonstrate exceptional use of algebraic methods to explore, model, and describe patterns and functions by * Translating algebraic expressions and equations into written words and translating written words into algebraic expressions and equations * Analyzing, representing, and comparing the relationships between two linear patterns in problem-solving situations * Determining, analyzing, and extending patterns using estimation in problem-solving situations * Analyzing, identifying, and extending nonlinear patterns in tables * Analyzing and identifying geometric patterns involving perimeter Students may also demonstrate exceptional use of algebraic methods to explore, model, and describe patterns and functions by * Analyzing, representing, and comparing the relationship of two linear patterns in problem-solving situations * Analyzing and extending geometric patterns involving rotations * Identifying, analyzing, and generalizing geometric patterns involving perimeter * Determining, analyzing, and extending patterns using estimation in problem-solving situations

Standard 3

Students demonstrate exceptional use of data collection and analysis, statistics, and probability by
* Using counting strategies to determine all the possible outcomes for given events
* Analyzing data and drawing conclusions from double bar graphs
* Reading and interpreting data in circle graphs
* Determining median, mode, and range of sets of data in problem-solving situations
* Reading, interpreting, and drawing conclusions from circle graphs in problem-solving situations
* Constructing, interpreting, and drawing conclusions from histograms in problem-solving situations

                                                                        Grade 7 Math

Standard 4

Standard 5

Students demonstrate exceptional use of geometric concepts, properties, and relationships by * Applying the concept of congruency to multiple polygons in problem-solving situations * Reasoning informally about parallel and perpendicular lines * Determining the coordinates of the point of intersection for two lines on a grid * Solving problems involving area in real-world situations * Transforming geometric shapes using reflection, translation, and rotation Students may also demonstrate exceptional use of geometric concepts, properties, and relationships by * Determining part-to-whole ratios in geometric figures by using congruency

Students demonstrate exceptional use of a variety of tools and techniques to measure by * Identifying the procedure to find the areas of rectangles * Measuring and approximating distances on maps using a scale * Determining areas of triangles and parallelograms * Finding the circumference of circles * Measuring, determining, and justifying distances on maps using a scale * Determining and applying the areas of triangles and parallelograms in problem-solving situations Students may also demonstrate exceptional use of a variety of tools and techniques to measure by * Determining circumference given radius, determining radius given circumference, and applying ratios of circumferences * Solving problems involving volume of rectangular prisms * Determining, applying, and comparing areas of triangles and parallelograms in multistep problem-solving situations * Measuring and applying scale to estimate distance on maps

Standard 6

Students demonstrate exceptional use of computational techniques in problem solving situations by
* Computing with fractions and using ratios and proportions in problem-solving situations
* Computing by subtracting mixed numbers
Students may also demonstrate exceptional use of computational techniques in problem-solving situations by
* Computing and applying order of operation with whole numbers

                                                            Grade 8 Math

Standard 1

Standard 2

Students demonstrate exceptional use of number sense and use of numbers by * Estimating with rational numbers * Using the relationships of fractions, decimals, and percents in problem-solving situations * Using the relationship of the ratio of a part to a whole and applying it to problem-solving situations * Communicating the reasoning used in problem-solving situations Students may also demonstrate exceptional use of number sense and use of numbers by * Demonstrating the meaning of commonly used fractions using graphical representations and then applying the meaning in real-world situations

Students demonstrate exceptional use of algebraic methods to explore, model, and describe patterns and functions by * Recognizing, representing, and analyzing patterns and functions in problem-solving situations * Representing, describing, and analyzing patterns and relationships in real-world situations * Using tables, graphs, and algebraic notations to describe and analyze patterns and relations in real-world situations * Evaluating a linear formula Students may also demonstrate exceptional use of algebraic methods to explore, model, and describe patterns and functions by * Analyzing functional relationships * Making multiple applications of the same data * Recognizing, representing, and analyzing patterns and functions in problem-solving situations * Analyzing functional relationships to explain how a change in one quantity results in a change in another * Translating written sentences into algebraic notation * Modeling real-world situations using functions and equations

Standard 3

Students demonstrate exceptional use of data collection and analysis, statistics, and probability by
* Interpreting line graphs to estimate the mean of real-world data
* Communicating the reasoning when using measures of central tendency in problem-solving situations
* Determining the probability of an event when changing a sample size without replacement
* Determining the probability of compound events in real-world situations and justifying the reasoning
* Solving real-world problems using permutations and combinations

                                                Grade 8 Math

Standard 4

Standard 5

Students demonstrate exceptional use of geometric concepts, properties, and relationships by * Finding the area of a 2-dimensional figure and applying in problem-solving situations * Transforming a geometric figure in the coordinate plane using reflections, translations, and rotations * Writing a ratio of "part-to-whole" using manipulatives * Analyzing how a change in shape affects the perimeter of geometric figures * Finding the volume of a cube Students may also demonstrate exceptional use of geometric concepts, properties, and relationships by * Relating area of a square to its perimeter * Communicating reasoning used in comparing areas in problem-solving situations

Students demonstrate exceptional use of a variety of tools and techniques to measure by * Calculating the perimeter of all possible rectangles of a given area on a coordinate grid using whole numbers * Estimating measurements of an object in a scale drawing * Comparing volumes of rectangular prisms to find missing dimensions in problem-solving situations Students may also demonstrate exceptional use of a variety of tools and techniques to measure by * Finding and applying perimeter in problem-solving situations * Finding the surface area of rectangular prisms

Standard 6

Students demonstrate exceptional use of computational techniques in problem-solving situations by
* Computing accurately using whole numbers, fractions, decimals, and percents
* Computing accurately with the order of operations
* Applying appropriate computational techniques in multistep, problem-solving situations
Students may also demonstrate exceptional use of computational techniques in problem-solving situations by
* Applying appropriate inverse operations in problem-solving situations

                                                            Grade 9 Math

Standard 2

Standard 3

Students demonstrate exceptional use of algebraic methods to explore, model, and describe patterns and functions by * Representing functional relationships in multiple ways * Expressing the perimeter of geometric figures algebraically * Determining the solution to simple systems of equations using graphing * Solving problems using algebraic methods * Modeling real-world situations using equations Students may also demonstrate exceptional use of algebraic methods to explore, model, and describe patterns and functions by * Modeling real-world situations using patterns and equations * Solving simple systems of equations using algebraic methods * Identifying and interpreting x- and y-intercepts in the context of problems * Solving problems involving comparison of rates * Solving for the independent variable when given the dependent variable

Students demonstrate exceptional use of data collection and analysis, statistics, and probability by * Determining measures of central tendency from graphed data * Determining the effects of additional data on measures of variability and central tendency * Drawing lines of best fit to make predictions about data Students may also demonstrate exceptional use of data collection and analysis, statistics, and probability by * Describing how data can be used to support more than one position * Determining quartiles * Determining the probability of dependent and independent events * Determining appropriate measures of central tendency from given data in the context of problems * Using permutations to solve real-world problems * Applying understanding of the relationship among measures of central tendency * Determining equations to represent lines of best fit * Interpreting, interpolating, and extrapolating using lines of best fit in real-world situations * Interpreting measures of variability in problem-solving situations * Interpreting slope in the context of problems

Standard 1

Students demonstrate exceptional use of number sense and use of numbers by
* Recognizing the properties of exponents
Students may also demonstrate exceptional use of number sense and use of numbers by
* Using properties of exponents to express ratios between two numbers written in scientific notation
* Using the properties of exponents to apply the operation "to the power of"

                                                            Grade 9 Math

Standard 4

Standard 5

Students demonstrate exceptional use of geometric concepts, properties, and relationships by Demonstrating how changing dimensions and shapes of simple figures affects their perimeters * Calculating the volume of simple geometric solids * Applying the concept of slope to locate points on a coordinate grid * Recognizing the relationship between the areas and sides of simple figures * Determining how a change in the dimensions or shape of a figure affects perimeter * Applying the Pythagorean theorem in real-world situations * Recognizing angle relationships within figures Students may also demonstrate exceptional use of geometric concepts, properties, and relationships by  Determining maximum and minimum perimeter values when the dimensions of figures are changed * Representing irrational numbers and their squares geometrically * Explaining the relationship between the areas and sides of simple figures

Students demonstrate exceptional use of a variety of tools and techniques to measure by * Modeling rate of change in real-world situations involving different units * Using appropriate measurement tools and scale factors to calculate rates of change in multistep problems * Explaining methods for finding the area of triangles using the Pythagorean theorem * Describing the change in volume of a shape that results from changing one attribute of that shape Students may also demonstrate exceptional use of a variety of tools and techniques to measure by * Calculating and justifying solutions to geometric problems requiring the use of the Pythagorean theorem * Using measurements to indirectly solve problems involving surface area