English Language Arts
Reading Standards for Literature
- Read closely to determine what the text says explicitly and to make logical inferences from it; cite specific textual evidence when writing or speaking to support conclusions drawn from the text
- Cite the textual evidence that most strongly supports an analysis of what the text says explicitly as well as inferences drawn from the text
- Analyze how particular lines of dialogue or incidents in a story or drama propel the action, reveal aspects of a character, or provoke a decision
- Compare and contrast the structure of two or more texts and analyze how the differing structure of each text contributes to its meaning and style
- Analyze the extent to which a filmed or live production of a story or drama stays faithful to or departs from the text or script, evaluating the choices made by the director or actors
Reading Standards for Informational Text
- Determine a central idea of a text and analyze its development over the course of the text, including its relationship to supporting ideas; provide an objective summary of the text
- Determine the meaning of words and phrases as they are used in a text, including figurative, connotative, and technical meanings; analyze the impact of specific word choices on meaning and tone, including analogies or allusions to other texts
- Analyze in detail the structure of a specific paragraph in a text, including the role of sentences in developing and refining a key concept
- Delineate and evaluate the argument and specific claims in a text, assessing whether the reasoning is sound, and the evidence is relevant and sufficient; recognize when irrelevant evidence is introduced
- Analyze a case in which two or more texts provide conflicting information on the same topic and identify where the texts disagree on matters of fact or interpretation
Writing Standards
- Write arguments to support claims in analysis of substantive topics or texts, using valid reasoning and relevant sufficient evidence
- Write informative and explanatory texts, including business letters and school applications, to convey ideas, concepts, and clear information
- Use appropriate and varied transitions to create cohesion and clarify the relationships among ideas and concepts
- Establish and maintain a formal style
- Write narratives to develop real or imagined experiences or events using effective techniques, relevant descriptive details, and well-structured event sequences
- Produce clear and coherent writing in which the development, organization, and style are appropriate to task, purpose, and audience.
- Use technology, including the internet, to produce and publish writing and present the relationships between information and ideas efficiently as well as to interact and collaborate with others
- Write routinely over extended time frames
Language Usage
- Presents claims and findings, emphasizing salient points in a focused, coherent manner with relevant evidence, sound reasoning, and well-chosen details
- Integrate multimedia and visual displays into presentations to clarify information, strengthen claims, and add interest
- Demonstrate command of the conventions of standard English grammar and usage when writing or speaking
- Demonstrate command of the conventions of standard English capitalization, punctuation, and spelling when writing
- Demonstrate understanding of figurative language, word relationships, and nuances in word meanings
- Determine or clarify the meaning of unknown and multiple-meaning words or phrases based on grade 8 reading and content, choosing flexibly from a range of strategies
Science
- Know position is defined in relation to some choice of a standard reference point and a set of reference directions
- Know that average speed is a total distance traveled divided by the total time elapsed and the speed of an object along the path traveled can vary
- Solve problems involving distance, time, and average speed
- Know how to interpret graphs of position versus time and graphs of speed versus time for motion in a single direction
- Know the structure of the atom and how it is composed of protons, neutrons, and electrons
- Know that compounds are formed by combining two or more different elements and that compounds have properties that are different from their constituent elements
- Know how to identify separately the two or more forces that are acting on a single static object, including gravity, elastic forces due to tension or compression in matter, and friction
- Know the states of matter depend on molecular motion
- Plans and conducts a scientific investigation to test a hypothesis
- Distinguish between variable and controlled parameters in a test
- Construct appropriate graphs from data and develop quantitative statements about the relationships between variables
8th Grade Math – Algebra I – Geometry
Algebra I
- Build a function that models a relationship between two quantities
- Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function notation in terms of context
- Summarize, represent, and interpret data on a single count or measurable variable
- Solve systems of equations
- Perform arithmetic operations on polynomials
Geometry
Experiment with transformations in the plane
- Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point
- Given a rectangle, parallelogram, trapezoid, or regular polygon, describe the notations and reflections that carry it onto itself
- Given a geometric figure and a rotation, reflection, or translation, draw the transformed figure using graph paper, tracing paper, or geometry program online
Understand congruence in terms of rigid motions
- Use geometric descriptions of rigid motions to transform figures and to predict the effect of a given rigid motion on a give figure; given two figures, us the definition f congruence in terms of rigid motions to decide if they are congruent
- Use the definition of congruence in terms of rigid motions to show that two triangles are congruent if and only if corresponding pairs of angles are congruent
- Explain how the criteria for triangle congruence (ASA, SAS, and SSS) follow from the definition of congruence in terms of rigid motions
Prove geometric theorems and make geometric constructions
- Prove theorems about lines and angles
- Prove theorems about triangles
- Prove theorems about parallelograms
- Make geometric constructions with a variety of tools and methods
- Construct an equilateral triangle, a square, and a regular hexagon inscribed in a circle
Similarity, Right Triangles, and Trigonometry
- Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures
- Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar
- Explain and use the relationship between the sine and cosine of complementary angles
- Use trigonometric ratios and the Pythagorean Theorem to solve triangles in applied problems
Apply geometric concepts in modeling situations
- Use geometric shapes, their measures, and their properties to describe objects
- Apply concepts of density based on area and volume in modeling situations
- Apply geometric methods to solve design problems
Conditional probability and the rules of probability
- Find the conditional probability of A given B as the fraction of B’s outcomes that also belong to A and interpret the answer in terms of the model.
- Understand that two events A and B are independent if the probability of A and B occurring together is the product of their probabilities and use this characterization to determine if they are independent.