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- Understand derived quantities such as density, velocity, and weighted averages.
- Solve problems involving derived quantities.
- Understand and solve problems involving rates, ratios, and proportions
- Convert ratio quantities between different systems of units such as feet per second to miles per hour.
- Solve simple proportion problems using such methods as unit rate, scaling, finding equivalent fractions, and solving the proportion equation a/b = c/d; know how to see patterns about proportional situations in tables.
- Understand the concept of square root and cube root, and estimate using calculators.
- Compute with rational numbers
- Solve problems involving operations with integers.
- Add, subtract, multiply and divide negative rational numbers.
- Estimate results of computations with rational numbers.
- Understand and apply directly proportional relationships and
relate to linear relationships
- Recognize when information given in a table, graph, or formula suggests a proportional or linear relationship.
- Represent directly proportional and linear relationships using verbal descriptions, tables, graphs, and formulas, and translate among these representations.
- Given a directly proportional or linear situation, graph and interpret the slope and intercept(s) in terms of the original situation; evaluate y = kx for specific x values, given k, e.g., weight vs. volume of water, base cost plus cost per unit.
- For directly proportional or linear situations, solve applied problems using graphs and equations, e.g., the heights and volume of a container with uniform cross-section, height of water in a tank being filled at a constant rate, degrees Celsius and degrees Fahrenheit, distance and time under constant speed.
- Understand and use directly proportional relationships of the form y = mx, and distinguish from linear relationships of the form y = mx + b, b non-zero; understand that in a directly proportional relationship between two quantities one quantity is a constant multiple of the other quantity.
- Calculate the slope from the graph of a linear function as the ratio of “rise/run” for a pair of points on the graph, and express the answer as a fraction and a decimal; understand that linear functions have slope that is a constant rate of change.
- Represent linear functions in the form y = x + b, y = mx, and y = mx + b, and graph, interpreting slope and y-intercept.
- Know that the solution to a linear equation corresponds to the point at which its graph crosses the x-axis.
- Understand and solve problems about inversely
proportional relationships
- Recognize inversely proportional relationships in contextual situations; know that quantities are inversely proportional if their product is constant, e.g., the length and width of a rectangle with fixed area and that an inversely proportional relationship is of the form y = k/x where k is some non-zero number.
- Know that the graph of y = k/x is not a line; know its shape; and know that it crosses neither the x nor the y-axis.
- Apply basic properties of real numbers in algebraic contexts
- Understand and use basic properties of real numbers: additive and multiplicative identities, additive and multiplicative inverses, commutativity, associativity, and the distributive property of multiplication over addition.
- Combine algebraic expressions and solve equations
- Add, subtract, and multiply simple algebraic expressions of the first degree, e.g., (92x + 8y) – 5x + y, or – 2x (5x – 4), and justify using properties of real numbers.
- From applied situations, generate and solve linear equations of the form ax + b = c and ax + b = cx + d, and interpret solutions.
- Draw and construct geometric objects
- Use a ruler and other tools to draw squares, rectangles, triangles and parallelograms with specified dimensions.
- Use compass and straightedge to perform basic geometric constructions: the perpendicular bisector of a segment, an equilateral triangle, and the bisector of an angle; understand informal justifications.
- Understand the concept of similar polygons, and solve related problems
- Understand that in similar polygons, corresponding angles are congruent and the ratios of corresponding sides are equal; understand the concepts of similar figures and scale factor.
- Solve problems about similar figures and scale drawings.
- Show that two triangles are similar using the criteria: corresponding angles are congruent (AAA similarity); the ratios of two pairs of corresponding sides are equal and the included angles are congruent (SAS similarity); ratios of all pairs of corresponding sides are equal
(SSS similarity); use these criteria to solve problems and to justify arguments.
- Understand and use the fact that when two triangles are similar with scale factor of r, their areas are related by a factor of r2.
- Represent and interpret data using circle graphs, stem and leaf plots, histograms, and box-and-whisker plots and select appropriate representation to address specific questions.
- Create and interpret scatter plots and use an estimated line of best fit to answer questions about the data.
- Compute statistics about datasets
- Calculate and interpret relative frequencies and cumulative frequencies for given data sets.
- Find and interpret the median, quartiles, and interquartile range of a given set of data.
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KNOWLEDGE:
1. Use vocabulary which represents comprehension of major social studies concepts in discussion and writing; 2. Apply the five fundamental themes of geography (location, place, human-environmental relationships, movement, and region) to the Eastern Hemisphere; 3. Examine the interrelationships of people in the Eastern Hemisphere and indicate how they may be global in scope; 4. Examine the geographic relationships between human society and the natural environment; 5. Explore ways that various groups function, resolve conflict, and interact with each other; 6. Analyze major national and international news events; 7. Distinguish between economies of the various countries in the Eastern Hemisphere and the effect of the economy on political and/or social issues; 8. Analyze the similarities and differences of the aspects of government in the Eastern Hemisphere; 9. Identify causes of change in cultures including historical and current issues facing the peoples of the Eastern Hemisphere; 10. Examine cultural similarities and differences, both past and present, in the Eastern Hemisphere; 11. Explain the chronology and describe the influence of major events and key figures in the Eastern Hemisphere;
SKILLS:
1. Gather, interpret, analyze, summarize and evaluate data in oral and written form; 2. Explain various interpretations of an event; 3. Locate and utilize data using written, graphic, oral, media and technological resources; 4. Construct, interpret and use visual aids such as maps, globes, graphs, time lines, tables and charts; 5. Participate cooperatively in group discussions and activities by listening attentively, presenting ideas clearly, and responding thoughtfully to the ideas of others; 6. Explain the relationship of social studies learning to experiences in students’ daily lives; 7. Develop and express informed and reasoned positions on issues orally and in writing;
DEMOCRATIC VALUES:
1. Apply democratic values in their consideration of global issues; 2. Examine issues related to their own personal worth and the dignity of all human beings regardless of their ability, gender, or cultural, racial, ethnic, social, or religious heritage; 3. Investigate global developments relating to human life, ownership of property, individual liberty, authority, equality and loyalty; 4. Examine issues related to the development and conservation of the environment; 5. Demonstrate the use of peaceful means for resolving conflict;
CIVIC PARTICIPATION:
1. Work individually and/or with others to decide on and pursue appropriate courses of action; 2. Apply individual and group problem solving and decision making to resolving social studies issues.
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- Word Study
Students will… • use word structure, sentence structure, and prediction to aid in decoding and understanding the meanings of words encountered in context • use structural, syntactic, and semantic analysis to recognize unfamiliar words in context (e.g., idioms, analogies, metaphors, similes, knowledge of roots and affixes, major word chunks/rimes, syllabication) • recognize frequently encountered words automatically (“automatically” should be defined in the glossary) • know the meaning of frequently encountered words in written and oral contexts (research to support specific words) • apply strategies to construct meaning and identify unknown words • read fluently seventh grade level texts (increasingly demanding texts read with fluency as the year proceeds) • use strategies and authentic content-related resources to determine the meaning of words and phrases in context (e.g., literary terms, cross-cultural words and phrases, mathematical expressions, scientific procedures)
- Narrative Text
Students will… • identify and discuss how the tensions among characters, communities, themes, and issues in classic and contemporary literature recognized for quality and literary merit are related to their own experiences • analyze elements and style of narrative genres (e.g., mystery, poetry, memoir, drama, myths, legends) • analyze the role of antagonists, protagonists, internal and external conflicts, and abstract themes • analyze author’s craft (e.g., theme, antagonists, protagonists, over and understatement, exaggeration)
- Informational Text
Students will… • analyze elements and style of informational genre (e.g., persuasive essay, research report, brochure, personal correspondence, autobiography/biography) • analyze organizational patterns (e.g., compare/contrast, cause and effect, sequence ) • explain how authors use writer’s craft and text features to enhance the understanding of central, key, and supporting ideas (e.g., metaphors, similes, captions, diagrams, appendices)
- Comprehension
Students will… • connect personal knowledge, experience, and understanding of the world to themes and perspectives in the text • read, retell, and summarize grade level appropriate narrative and informational texts • state global themes, universal truths, and principles within and across texts to create a deeper understanding • apply significant knowledge from what has been read in grade level appropriate science and social studies texts
- Metacognition
Students will… • independently self-monitor comprehension when reading or listening to text by automatically using and discussing the strategies used by mature readers to increase comprehension and engage in interpretative discussions (e.g., predicting, constructing mental images representing ideas in text questioning, rereading or listening again if uncertain about meaning, inferring, summarizing) • plan, monitor, regulate, and evaluate skills, strategies, and processes for their own reading comprehension by applying appropriate metacognitive skills (e.g., SQP3R, pattern guides)
- Critical Standards
Students will… • analyze the appropriateness of shared, individual, and expert standards based on purpose, context, and audience in order to assess their own work and work of others
- Reading Attitude
Students will… • be enthusiastic about reading and do substantial reading on their own
- Writing Genres
Students will… • write a cohesive narrative piece that includes appropriate conventions to the genre (e.g., memoir, drama, legend, mystery, poetry, myth) and employ literary and plot devices (e.g., internal and/or external conflicts, antagonists/ protagonists, personification) • write a research report (e.g., I-search, website, traditional) for an authentic audience that includes appropriate organizational patterns (e.g., problem statement and solution, position statement and supporting evidence, compare and contrast), descriptive language, and text features • formulate research questions using multiple resources, perspectives, and arguments/ counterarguments to develop a thesis statement that culminates in a presented, final project
- Writing Process
Students will… • set a purpose, consider audience, and replicate authors’ styles and patterns when writing narrative or informational text • apply a variety of pre-writing strategies for narrative (e.g., story maps that are designed to depict roles of antagonist and protagonist, internal and external conflict) and informational text (e.g., position statement and supporting evidence, problem statement and solution,, compare/contrast) • revise their writing to reflect different perspectives for multiple purposes • select and use titles, leads, and endings to achieve a specific purpose for specific audiences. (revise writing to ensure that content, structure, elements of style and voice, literary devices, and textual features are consistent) • edit their writing using proofreaders’ checklists both individually and in peer editing groups
- Personal Style
Students will… • exhibit individual style to enhance the written message (e.g., in narrative text: personification, humor, element of surprise; in informational text: emotional appeal, strong opinion, credible support)
- Grammar and Usage
Students will… • in the context of their writing, use style conventions (e.g., MLA) and a variety of grammatical structures in their writing including par ticipial phrases, adverbial subordinate clauses, superlative adjectives and adverbs, present/past/future, continuous verb tenses, parentheses, singular and plural possessive forms, and indefinite pronouns
- Spelling
Students will… • correctly spell the derivatives of bases and affixes in the context of their own writing
- Handwriting
Students’ handwriting will… • be legible in their compositions
- Writing Attitude
Students will… • be enthusiastic about writing
- Conventions
Students will… • use specialized language related to a topic and select words carefully to achieve precise meaning when presenting (3.MS.3, 3.MS.4, 4.MS.5) • use slang, dialect, and colloquial language suitably to create interest and drama when presenting (3.MS.3, 3.MS.2, 3.MS.5, 4.MS.5) • present their work in standard American English if it is their first language (students whose second language is English will present their work in their developing version of standard American English)
- Discourse
Students will… • engage in interactive, extended discourse to socially construct meaning (e.g., book clubs, literature circles. partnerships, or other conversation protocols) • discuss multiple text types in order to anticipate and answer questions, offer opinions and solutions, and to identify personally with a universal theme • discuss their written narratives with a variety of literary and plot devices (e.g., clearly described setting, sequenced events, complex major and minor characters, dialogue, suspense, specific narrative actions such as gestures, movements, and expressions) • plan and deliver a focused, coherent informational presentation that incorporates persuasive, non-verbal techniques (e.g., modulation of voice, inflection, tempo, enunciation, eye contact), is organized by a specific text pattern (e.g., theory and evidence, persuasion, sequence), and provides supporting details, explanations, and descriptions supportive of the focus of the presentation and the backgrounds/interests of the audience.
- L I S T E N I N G & VIEWING Conventions
Students will… • distinguish facts from opinions and question their validity during speeches and presentations delivered by peers • demonstrate the appropriate social skills of audience behavior (e.g., eye contact, quiet and still, attentive, supportive) during speeches and presentations
- Response
Students will… • identify, state, and react to a speaker’s point of view and bias • respond thoughtfully to both classic and contemporary texts recognized for quality and literary merit • identify a speaker’s attitude toward a subject • ask probing questions of speakers, focusing on claims and conclusions presented • respond to multiple texts when listened to or viewed by speaking, illustrating, and/or writing in order to anticipate and answer questions, to determine personal and universal themes, and to offer opinions or solutions • evaluate the credibility of a speaker by determining whether the speaker’s point of view is biased or not • identify persuasive and propaganda techniques and analyze the effect on the view of images, text, and sound in the electronic media (e.g., television, movies), and they will determine if the techniques used achieved their intended effects
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