8th Grade Math

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Student Name:________________________
8th GRADE COMMON CORE ALGEBRA 1 STANDARDS
____ Extend the properties of exponents to rational exponents
____ Work with radicals and integer exponents
____ Use similar triangles to explain that the slope is the same between any two points
on a line
____ Understand the connections between proportional relationships, lines, and linear
equations
____ Perform operations with numbers expressed in scientific notation
____ Understand y = mx + b describes a line that intercepts the vertical axis
____ Analyze and solve linear equations and pairs of simultaneous linear equations
____ Interpret the structure of expressions (terms, factors, coefficients)
____ Write expressions in equivalent forms to solve problems
____ Perform arithmetic operations on polynomials
____ Create equations that describe numbers or relationships
____ Create equations in two or more variables
____ Solve equations and inequalities with one variable
____ Solve systems of equations in two variables
____ Graph and understand solutions to linear equalities and inequalities in two
variables
____ Solve quadratic equations with one variable
____ Represent and solve equations and inequalities graphically
____ Define, evaluate, and compare functions
____ Use functions to model relationships between quantities
____ Analyze and graph functions
____ Build and write a function that models a relationship between two quantities
____ Build new functions from existing functions
____ Understand congruence and similarity
____ Understand and apply The Pythagorean Theorem
____ Use coordinates to prove simple geometric theorems algebraically
____ Investigate patterns of association in sets of data
____ Construct and interpret scatter plots
____ Use and know simple aspects of a logical argument
____ Use properties of the number system to judge the validity of results, to justify
each step of a procedure, and to prove or disprove statements
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Date
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Parent
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8th GRADE COMMON CORE LANGUAGE ARTS STANDARDS
Reading
____ Use evidence when drawing conclusions from the reading
____ Determine a theme and its relationship to the characters, setting, and plot
____ Analyze how dialogue affects the outcome of a text
____ Identify how the structure contributes to the meaning and style of each text
____ Analyze how the points of view of the characters and the reader create effects
such as suspense or humor
____ Determine an author’s response to conflicting viewpoints
____ Evaluate an author’s premises or hypotheses by corroborating or challenging
conclusions with other sources of information
____ Read and understand grade-level literary and nonfiction texts
Writing
____ Write arguments to support claims with clear reasons and relevant evidence
____ Write informative texts that examine a topic and convey ideas
____ Write narratives that show the relationships among experiences and events
____ Conduct research projects and demonstrate an understanding of the subject under
investigation
____ Use technology to produce and publish writing and present relationships between
information and ideas
Speaking and Listening
____ Participate in discussions, one-on-one and with a group
____ Identify when irrelevant evidence is used in a speaker’s claim
____ Plan an present a narrative
____ Use eye contact, appropriate volume, and clear pronunciation when presenting
Language
____ Use correct grammar and language
____ Use correct capitalization, punctuation, and spelling
____ Use a variety of methods to determine the meaning of unknown words
____ Interpret figures of speech
o Verbal irony
o Puns
8th GRADE SCIENCE STANDARDS
(Physical Science)
Motion
____ 8.1a
____ 8.1b
____ 8.1c
____ 8.1d
____ 8.1e
Definition of position
Average speed
Solve problems involving distance, time and average speed
Definition of velocity and changes in velocity
Graphs of position vs. time and graphs of speed vs. time
Forces
____ 8.2a Force has direction and magnitude
____ 8.2b Object’s motion is cumulative effect of all forces
____ 8.2c If forces on object are balanced, motion of object does not change
____ 8.2d ID forces acting on object (e.g. gravity, friction, etc.)
____ 8.2e Unbalances forces - change in object velocity
____ 8.2f The greater the mass, the more force needed for same rate of change of
motion
____ 8.2g Role of gravity in universe’s objects and motion
Structure of Matter
____ 8.3a Atoms - protons, neutrons and electrons
____ 8.3b Compounds - 2 or more elements with different properties that
constituent elements
____ 8.3c Repeating patterns of atoms and molecules (e.g. crystal structure of NaCl)
____ 8.3d Molecular motion of solids, liquids and gases
____ 8.3e Solids (locked position), liquids (atoms slide past each other), gases
(independent movement of atoms)
____ 8.3f Periodic table - elements in compounds
Solar System & Stars
____ 8.4a Galaxies - composition and shape
____ 8.4b Sun - average star in galaxy; stars vary in size, temperature and color
____ 8.4c Astronomical units and light years
____ 8.4d Stars - source of light in universe
____ 8.4e Solar system objects’ composition, position, size and motion
Reactions
____ 8.5a
____ 8.5b
____ 8.5c
____ 8.5d
____ 8.5e
Reactant atoms form products with new chemical properties
Conservation of matter
Chemical of matter
Physical vs. chemical reactions
ID whether solution is acidic, basic or neutral
Chemistry of Living Systems
____ 8.6a Carbon as basic to the chemistry of living organisms
____ 8.6b Living organism molecules - carbon, hydrogen, nitrogen, oxygen,
phosphorous and sulfur
____ 8.6c Small biological molecules (water, salt); large biological molecules
(carbohydrates, fats, proteins, DNA)
Periodic Table
____ 8.7a Regions of metals, nonmetal and inert gases
____ 8.7b Elements and atomic number (# of protons); isotopes
____ 8.7c Substance classification by melting temperature, density, hardness,
thermal and electrical conductivity
Density & Buoyancy
____ 8.8a Density - mass/unit volume
____ 8.8b Calculate densities of substances
____ 8.8c Buoyant force - upward force equal to weight of object displaced
____ 8.8d Prediction of object’s density (floating or sinking characteristic)
Investigation & Experimentation
____ 8.9a Test a hypotheses with a scientific investigation
____ 8.9b Evaluate accuracy and reproducibility of data
____ 8.9c Variables vs. controlled parameters
____ 8.9d Interpret graphs with linear relationships (y = mx +b)
____ 8.9e Develop quantitative statements about relationships between variables
____ 8.9f Use mathematical relationships to determine missing quantities (e.g.
speed=distance/time)
____ 8.9g Linear vs. nonlinear relationships on data graph
8th GRADE SOCIAL STUDIES STANDARDS
(US History)
Development of American Constitutional Democracy
____ 8.1a Connection of Great Awakening and revolutionary fervor
____ 8.1b Philosophy of Declaration of Independence with emphasis on security
individual rights
____ 8.1c Effect of American Revolution on other nations (e.g. France)
____ 8.1d Nation’s blend of civic republicanism, classical liberal principles, and
English parliamentary traditions
Principles of US Constitution & Powers of Federal Government
____ 8.2a Significance of Magna Charta, English Bill of Rights and Mayflower
Compact
____ 8.2b Article of confederation & constitution as vehicles to implement ideals of
Declaration of Independence
____ 8.2c Major debates during development of the constitution
____ 8.2d Political philosophy underpinning constitution and role of leaders writing
and ratifying it
____ 8.2e First Amendment’s purpose and issue of separation of church and state
____ 8.2f Constitutional powers of government and liberties in Bill of Rights
____ 8.2g Principles of federalism, dual sovereignty, separation of power, checks
and balances, majority rule and individual rights
American Political System & Citizen Participation
____ 8.3a Principles codified is state constitutions 1777 and 1781 that became basis
of American political institutions
____ 8.3b Ordinances of 1785 and 1787 - transfer of federally owned lands into
private holdings, townships and states
____ 8.3c Advantages of common market among states
____ 8.3d Emergence of 2 political parties
____ 8.3e Significance of domestic resistance movements
____ 8.3f Basic law-making process including opportunities for citizen participation
____ 8.3g Functions and responsibilities of a free press
Aspirations & Ideals of the New Nation
____ 8.4a Political divisions and territorial expansion during first 4 presidents
____ 8.4b Policy significance of famous speeches
____ 8.4c Rise of capitalism and economic problems and their resolutions
____ 8.4d Art, music & literature of early America (Washington Irving)
US Foreign Policy in the Early Republic
____ 8.5a War of 1812
____ 8.5b Changing boundaries of the US, westward expansion, Mexican American
War and Monroe Doctrine
____ 8.5c Major treaties with American Indians and their outcomes
Divergent Paths of Americans 1800 - mid 1800’s in the Northeast
____ 8.6a Influence of industrialization and technology
____ 8.6b Obstacles to building a transportation network
____ 8.6c Reasons for wave of immigration from Northern Europe to US the impact
on American cities
____ 8.6d Lives of Black Americans who gained freedom in the North
____ 8.6e Development of American education system
____ 8.6f Women’s suffrage movement
____ 8.6g Common themes in American art as well as transcendentalism and
individualism
Divergent Paths of American People in the South 1800 - mid- 1800’s
____ 8.7a Agrarian economy in South (cotton production and cotton gin)
____ 8.7b Development of and attempts to overturn and preserve slavery
____ 8.7c White southern society and physical environment influences prior to the
Civil War
____ 8.7d Free blacks of North vs. free blacks in the South
Divergent Paths of Americans in West 1800 - mid 1800’s
____ 8.8a Election and presidency of Andrew Jackson in 1828; Jacksonian
democracy
____ 8.8b Westward expansion, manifest destiny, Lewis and Clark expedition,
Cherokees’ Trail of Tears, territorial acquisitions
____ 8.8c Role of pioneer women, status western women achieved, free slave
women and Wyoming’s granting suffrage to women in 1869
____ 8.8d Rivers and struggle over water rights
____ 8.8e Mexican settlements - land grant systems
____ 8.8f Texas War for Independence, Mexican-American War and aftermath of
wars
Abolition of Slavery Attempts
____ 8.9b Abolition of slavery in early state constitutions
____ 8.9c Significance of Northwest Ordinance in education and banning of slavery
in new states
____ 8.9d Compromise of 1850 - issue of slavery (annexation of Texas and
admission of California)
____ 8.9e Significance of States’ Rights Doctrine, Missouri Compromise (1820),
Kansas-Nebraska Act (1854), Dred Scott decision (1857), LincolnDouglas debates (1858)
____ 8.9f Lives of free blacks - laws limiting freedom and economic opportunities
Causes & Consequences of Civil War
____ 8.10a Conflicting interpretations of state and federal authority (speeches and
writings of Daniel Webster and John C. Calhoun)
____ 8.10b Geographical differences between North and South; difference between
agrarians and industrialists
____ 8.10c Doctrine of nullification and secession
____ 8.10d Abraham Lincoln’s presidency - famous speeches (“House Divided”
speech, Gettysburg Address, Emancipation Proclamation, inaugural address)
____ 8.10e Views and lives of Civil War leaders and soldiers (both sides of war)
____ 8.10f Major battles and developments of war and General Lee’s surrender at
Appomattox
____ 8.10g Effect of war on combatants, civilians, physical environment and future
warfare
Consequences of Reconstruction
____ 8.11a Aims of Reconstruction
____ 8.11b Push-pull factors in movement of former slaves to cities in North and
West
____ 8.11c Effects of Freedmen’s Bureau; Jim Crow Laws
____ 8.11d Rise of Ku Klux Kan and its effects
____ 8.11e Connection of 13th, 14th, 15th to Reconstruction
Response to Industrial Revolution
____ 8.12a Patterson of agricultural and industrial development
____ 8.12b Federal Indian policy; war with American Indians
____ 8.12c Business expansion through tariffs, banking, land grants and subsidies
Response to Industrial Revolution
____ 8.12d Entrepreneurs and industrialists (e.g. Andrew Carnegie, John D.
Rockefeller, Leland Stanford)
____ 8.12e Effects of urbanization, renewed immigration and industrialization
____ 8.12f Child labor, working conditions, laissez-faire policies, unionization and
collective bargaining
____ 8.12g Contributions of immigrants; assimilation of newcomers amid growing
cultural diversity
____ 8.12h Grangerism and populism
____ 8.12i Significant inventors and inventions (e.g. Thomas Edison, Alexander
Graham Bell, Orville and Wilbur Wright, etc.)
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