## Use the table below to review the Lumos StepUp™ 8th Grade Math and Language Arts Literacy Lesson Names, Topics, along with their Common Core State Standard (CCSS) Correlations.

Course Name: Lumos StepUp – Grade 8 Math
Lesson Name
Introduction and Diagnostic Test

### Diagnostic Test – Part II

The Number System

### Rational Numbers 8.NS.1

Domain: The Number System
Theme: Know that there are numbers that are not rational, and approximate them by rational numbers.
Standard: Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number.

### Irrational Numbers 8.NS.2

Domain: The Number System
Theme: Know that there are numbers that are not rational, and approximate them by rational numbers
Standard: Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g., ?^2). For example, by truncating the decimal expansion of ?2 (square root of 2), show that ?2 is between 1 and 2, then between 1.4 and 1.5, and explain how to continue on to get better approximations.

Expressions and Equations

### Exponents Multiplication & Division 8.EE.1

Domain: Expressions & Equations
Theme: Work with radicals and integer exponents
Standard: Know and apply the properties of integer exponents to generate equivalent numerical expressions. For example, 3^2

### Square & Cube Roots 8.EE.2

Domain: Expressions & Equations
Theme: Work with radicals and integer exponents
Standard: Use square root and cube root symbols to represent solutions to equations of the form x^2 = p and x^3 = p, where p is a positive rational number. Evaluate square roots of small perfect squares and cube roots of small perfect cubes. Know that ?2 is irrational.

### Scientific Notation 8.EE.3

Domain: Expressions & Equations
Theme: Work with radicals and integer exponents
Standard: Use numbers expressed in the form of a single digit times an integer power of 10 to estimate very large or very small quantities, and to express how many times as much one is than the other. For example, estimate the population of the United States as 3

### Scientific Notation Multiplication & Division 8.EE.4

Domain: Expressions & Equations
Theme: Work with radicals and integer exponents
Standard: Perform operations with numbers expressed in scientific notation, including problems where both decimal and scientific notation are used. Use scientific notation and choose units of appropriate size for measurements of very large or very small quantities (e.g., use millimeters per year for seafloor spreading). Interpret scientific notation that has been generated by technology.

### Compare Proportions 8.EE.5

Domain: Expressions & Equations
Theme: Understand the connections between proportional relationships, lines, and linear equations
Standard: Graph proportional relationships, interpreting the unit rate as the slope of the graph. Compare two different proportional relationships represented in different ways. For example, compare a distance-time graph to a distance-time equation to determine which of two moving objects has greater speed.

### Slope 8.EE.6

Domain: Expressions & Equations
Theme: Understand the connections between proportional relationships, lines, and linear equations
Standard: Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y =mx for a line through the origin and the equation y = mx + b for a line intercepting the vertical axis at b.

### One-Variable Equations 8.EE.7a

Domain: Expressions & Equations
Theme: Analyze and solve linear equations and pairs of simultaneous linear equations
Standard: Give examples of linear equations in one variable with one solution, infinitely many solutions, or no solutions. Show which of these possibilities is the case by successively transforming the given equation into simpler forms, until an equivalent equation of the form x = a, a = a, or a = b results (where a and b are different numbers).

### System of Equations 8.EE.8a

Domain: Expressions & Equations
Theme: Analyze and solve linear equations and pairs of simultaneous linear equations
Standard: Understand that solutions to a system of two linear equations in two variables correspond to points of intersection of their graphs, because points of intersection satisfy both equations simultaneously.

Functions

### Functions 8.F.1

Domain: Functions
Theme: Define, evaluate, and compare functions
Standard: Understand that a function is a rule that assigns to each input exactly one output. The graph of a function is the set of ordered pairs consisting of an input and the corresponding output. (Function notation is not required in Grade 8.)

### Compare Functions 8.F.2

Domain: Functions
Theme: Define, evaluate, and compare functions
Standard: Compare properties of two functions each represented in a different way (algebraically, graphically, numerically in tables, or by verbal descriptions). For example, given a linear function represented by a table of values and a linear function represented by an algebraic expression, determine which function has the greater rate of change.

### Linear Functions 8.F.3

Domain: Functions
Theme: Define, evaluate, and compare functions
Standard: Interpret the equation y = mx + b as defining a linear function, whose graph is a straight line; give examples of functions that are not linear. For example, the function A = s^2 giving the area of a square as a function of its side length is not linear because its graph contains the points (1,1), (2,4) and (3,9), which are not on a straight line.

### Linear Function Models 8.F.4

Domain: Functions
Theme: Use functions to model relationships between quantities
Standard: Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.

### Analyzing Functions 8.F.5

Domain: Functions
Theme: Use functions to model relationships between quantities
Standard: Describe qualitatively the functional relationship between two quantities by analyzing a graph (e.g., where the function is increasing or decreasing, linear or nonlinear). Sketch a graph that exhibits the qualitative features of a function that has been described verbally.

Geometry

### Transformations of Points & Lines 8.G.1

Domain: Geometry
Theme: Understand congruence and similarity using physical models, transparencies, or geometry software
Standard: Verify experimentally the properties of rotations, reflections, and translations.

### Transformations of Congruent Objects 8.G.2

Domain: Geometry
Theme: Understand congruence and similarity using physical models, transparencies, or geometry software
Standard: Understand that a two-dimensional figure is congruent to another if the second can be obtained from the first by a sequence of rotations, reflections, and translations; given two congruent figures, describe a sequence that exhibits the congruence between them.

### Analyzing Transformations 8.G.3

Domain: Geometry
Theme: Understand congruence and similarity using physical models, transparencies, or geometry software
Standard: Describe the effect of dilations, translations, rotations and reflections on two-dimensional figures using coordinates.

### Transformations & Similar Objects 8.G.4

Domain: Geometry
Theme: Understand congruence and similarity using physical models, transparencies, or geometry software
Standard: Understand that a two-dimensional figure is similar to another if the second can be obtained from the first by a sequence of rotations, reflections, translations, and dilations; given two similar two-dimensional figures, describe a sequence that exhibits the similarity between them.

### Interior & Exterior Angles 8.G.5

Domain: Geometry
Theme: Understand congruence and similarity using physical models, transparencies, or geometry software
Standard: Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles. For example, arrange three copies of the same triangle so that the three angles appear to form a line, and give an argument in terms of transversals why this is so.

### Pythagorean Theorem 8.G.6

Domain: Geometry
Theme: Understand and apply the Pythagorean Theorem
Standard: Explain a proof of the Pythagorean Theorem and its converse.

### Pythagorean Theorem in Real-World Problems 8.G.7

Domain: Geometry
Theme: Understand and apply the Pythagorean Theorem
Standard: Apply the Pythagorean Theorem to determine unknown side lengths in right triangles in real-world and mathematical problems in two and three dimensions.

### Pythagorean Theorem & Coordinate System 8.G.8

Domain: Geometry
Theme: Understand and apply the Pythagorean Theorem
Standard: Apply the Pythagorean Theorem to find the distance between two points in a coordinate system.

### Volume: Cone, Cylinder, & Sphere 8.G.9

Domain: Geometry
Theme: Solve real-world and mathematical problems involving volume of cylinders, cones and spheres.
Standard: Know the formulas for the volume of cones, cylinders, and spheres and use them to solve real-world and mathematical problems.

Statistics & Probability

### Interpret Data Tables & Scatter Plots 8.SP.1

Domain: Statistics & Probability
Theme: Investigate patterns of association in bivariate data
Standard: Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Describe patterns such as clustering, outliers, positive or negative association, linear association, and nonlinear association.

### Scatter Plots with Linear Association 8.SP.2

Domain: Statistics & Probability
Theme: Investigate patterns of association in bivariate data
Standard: Know that straight lines are widely used to model relationships between two quantitative variables. For scatter plots that suggest a linear association, informally fit a straight line, and informally assess the model fit by judging the closeness of the data points to the line.

### Analyzing Linear Scatter Plots 8.SP.3

Domain: Statistics & Probability
Theme: Investigate patterns of association in bivariate data
Standard: Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept. For example, in a linear model for a biology experiment, interpret a slope of 1.5 cm/hr as meaning that an additional hour of sunlight each day is associated with an additional 1.5 cm in mature plant height.

### Relatable Data Frequency 8.SP.4

Domain: Statistics & Probability
Theme: Investigate patterns of association in bivariate data
Standard: Understand that patterns of association can also be seen in bivariate categorical data by displaying frequencies and relative frequencies in a two-way table. Construct and interpret a two-way table summarizing data on two categorical variables collected from the same subjects. Use relative frequencies calculated for rows or columns to describe possible association between the two variables. For example, collect data from students in your class on whether or not they have a curfew on school nights and whether or not they have assigned chores at home. Is there evidence that those who have a curfew also tend to have chores?

Test Taking Tips

Practice Tests

### Practice Test 2 – Part II

Course Name: Lumos StepUp – Grade 8 Language Arts Literacy
Lesson Name
Introduction and Diagnostic Test

### Textual Evidence RL.8.1

Theme: Key Ideas and Details
Standard: Cite the textual evidence that most strongly supports an analysis of what the text says explicitly as well as inferences drawn from the text.

### Inferences RL.8.1

Theme: Key Ideas and Details
Standard: Cite the textual evidence that most strongly supports an analysis of what the text says explicitly as well as inferences drawn from the text.

### Theme RL.8.2

Theme: Key Ideas and Details
Standard: Determine a theme or central idea of a text and analyze its development over the course of the text, including its relationship to the characters, setting, and plot; provide an objective summary of the text.

### Objective Summary RL.8.2

Theme: Key Ideas and Details
Standard: Determine a theme or central idea of a text and analyze its development over the course of the text, including its relationship to the characters, setting, and plot; provide an objective summary of the text.

### Plot RL.8.2

Theme: Key Ideas and Details
Standard: Determine a theme or central idea of a text and analyze its development over the course of the text, including its relationship to the characters, setting, and plot; provide an objective summary of the text.

### Setting RL.8.2

Theme: Key Ideas and Details
Standard: Determine a theme or central idea of a text and analyze its development over the course of the text, including its relationship to the characters, setting, and plot; provide an objective summary of the text.

### Characters RL.8.2

Theme: Key Ideas and Details
Standard: Determine a theme or central idea of a text and analyze its development over the course of the text, including its relationship to the characters, setting, and plot; provide an objective summary of the text.

### Analyzing Comparisons RL.8.3

Theme: Key Ideas and Details
Standard: 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.

### Meaning and Tone RL.8.4

Theme: Craft and Structure
Standard: Determine the meaning of words and phrases as they are used in a text, including figurative and connotative meanings; analyze the impact of specific word choices on meaning and tone, including analogies or allusions to other texts.

### Producing Suspense and Humor RL.8.6

Theme: Craft and Structure
Standard: Analyze how differences in the points of view of the characters and the audience or reader (e.g., created through the use of dramatic irony) create such effects as suspense or humor.

### Compare and Contrast RL.8.5

Theme: Craft and Structure
Standard: 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.

### Modern Fictions and Traditional Stories RL.8.9

Theme: Integration of Knowledge and Ideas
Standard: Analyze how a modern work of fiction draws on themes, patterns of events, or character types from myths, traditional stories, or religious works such as the Bible, including describing how the material is rendered new.

### Technical Meanings RI.8.4

Theme: Craft and Structure
Standard: 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.

### Central Ideas RI.8.2

Theme: Key Ideas and Details
Standard: 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.

### Analyzing Structures in Text RI.8.5

Theme: Craft and Structure
Standard: Analyze in detail the structure of a specific paragraph in a text, including the role of particular sentences in developing and refining a key concept.

### Author’s Point of View RI.8.6

Theme: Craft and Structure
Standard: Determine an author

### Publishing Mediums RI.8.7

Theme: Integration of Knowledge and Ideas
Standard: Evaluate the advantages and disadvantages of using different mediums (e.g., print or digital text, video, multimedia) to present a particular topic or idea.

### Evaluating Author’s Claims RI.8.8

Theme: Integration of Knowledge and Ideas
Standard: 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.

### Conflicting Information RI.8.9

Theme: Integration of Knowledge and Ideas
Standard: 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

### Introducing and Closing Topics W.8.1a

Domain: Writing
Theme: Text Types and Purposes
Standard: Introduce claim(s), acknowledge and distinguish the claim(s) from alternate or opposing claims, and organize the reasons and evidence logically.

### Supporting and Developing Topics W.8.1b

Domain: Writing
Theme: Text Types and Purposes
Standard: Support claim(s) with logical reasoning and relevant evidence, using accurate, credible sources and demonstrating an understanding of the topic or text.

### Appropriate Transitions W.8.2c

Domain: Writing
Theme: Text Types and Purposes
Standard: Use appropriate and varied transitions to create cohesion and clarify the relationships among ideas and concepts.

Domain: Writing
Theme: Text Types and Purposes
Standard: Introduce a topic clearly, previewing what is to follow; organize ideas, concepts, and information into broader categories; include formatting (e.g., headings), graphics (e.g., charts, tables), and multimedia when useful to aiding comprehension.

### Varied Sentence Structure W.8.3c

Domain: Writing
Theme: Text Types and Purposes
Standard: Use a variety of transition words, phrases, and clauses to convey sequence, signal shifts from one time frame or setting to another, and show the relationships among experiences and events.

### Precise Language and Sensory Details W.8.3d

Domain: Writing
Theme: Text Types and Purposes
Standard: Use precise words and phrases, relevant descriptive details, and sensory language to capture the action and convey experiences and events.

### Task, Purpose, and Audience W.8.4

Domain: Writing
Theme: Production and Distribution of Writing
Standard: Produce clear and coherent writing in which the development, organization, and style are appropriate to task, purpose, and audience. (Grade-specific expectations for writing types are defined in standards 1

### Planning W.8.5

Domain: Writing
Theme: Production and Distribution of Writing
Standard: With some guidance and support from peers and adults, develop and strengthen writing as needed by planning, revising, editing, rewriting, or trying a new approach, focusing on how well purpose and audience have been addressed. (Editing for conventions should demonstrate command of Language standards 1

### Revising W.8.5

Domain: Writing
Theme: Production and Distribution of Writing
Standard: With some guidance and support from peers and adults, develop and strengthen writing as needed by planning, revising, editing, rewriting, or trying a new approach, focusing on how well purpose and audience have been addressed. (Editing for conventions should demonstrate command of Language standards 1

### Editing W.8.5

Domain: Writing
Theme: Production and Distribution of Writing
Standard: With some guidance and support from peers and adults, develop and strengthen writing as needed by planning, revising, editing, rewriting, or trying a new approach, focusing on how well purpose and audience have been addressed. (Editing for conventions should demonstrate command of Language standards 1

### Gathering Relevant Information W.8.8

Domain: Writing
Theme: Research to Build and Present Knowledge
Standard: Gather relevant information from multiple print and digital sources, using search terms effectively; assess the credibility and accuracy of each source; and quote or paraphrase the data and conclusions of others while avoiding plagiarism and following a standard format for citation.

### Citing Information W.8.8

Domain: Writing
Theme: Research to Build and Present Knowledge
Standard: Gather relevant information from multiple print and digital sources, using search terms effectively; assess the credibility and accuracy of each source; and quote or paraphrase the data and conclusions of others while avoiding plagiarism and following a standard format for citation.

### Quoting and Paraphrasing Data W.8.8

Domain: Writing
Theme: Research to Build and Present Knowledge
Standard: Gather relevant information from multiple print and digital sources, using search terms effectively; assess the credibility and accuracy of each source; and quote or paraphrase the data and conclusions of others while avoiding plagiarism and following a standard format for citation.

Language Standards

Domain: Language
Theme: Conventions of Standard English
Standard: Explain the function of verbals (gerunds, participles, infinitives) in general and their function in particular sentences.

### Subject-Verb Agreement L.8.1b

Domain: Language
Theme: Conventions of Standard English
Standard: Form and use verbs in the active and passive voice.

### Pronouns L.8.1c

Domain: Language
Theme: Conventions of Standard English
Standard: Form and use verbs in the indicative, imperative, interrogative, conditional, and subjunctive mood.

### Phrases and Clauses L.8.1c

Domain: Language
Theme: Conventions of Standard English
Standard: Form and use verbs in the indicative, imperative, interrogative, conditional, and subjunctive mood.

### Verbals L.8.1d

Domain: Language
Theme: Conventions of Standard English
Standard: Recognize and correct inappropriate shifts in verb voice and mood.*

### Active and Passive Voice L.8.3a

Domain: Language
Theme: Knowledge of Language
Standard: Use verbs in the active and passive voice and in the conditional and subjunctive mood to achieve particular effects (e.g., emphasizing the actor or the action; expressing uncertainty or describing a state contrary to fact).

### Using Verbs in Moods L.8.1d

Domain: Language
Theme: Conventions of Standard English
Standard: Recognize and correct inappropriate shifts in verb voice and mood.*

### Capitalization L.8.2

Domain: Language
Theme: Conventions of Standard English
Standard: Demonstrate command of the conventions of standard English capitalization, punctuation, and spelling when writing.

### Punctuation L.8.2a

Domain: Language
Theme: Conventions of Standard English
Standard: Use punctuation (comma, ellipsis, dash) to indicate a pause or break.

### Spelling L.8.2c

Domain: Language
Theme: Conventions of Standard English
Standard: Spell correctly.

### Context Clues L.8.4a

Domain: Language
Theme: Vocabulary Acquisition and Use
Standard: Use context (e.g., the overall meaning of a sentence or paragraph; a word

### Multiple-Meaning Words L.8.4b

Domain: Language
Theme: Vocabulary Acquisition and Use
Standard: Use common, grade-appropriate Greek or Latin affixes and roots as clues to the meaning of a word (e.g., precede, recede, secede).

### Reference Materials L.8.4c

Domain: Language
Theme: Vocabulary Acquisition and Use
Standard: Consult general and specialized reference materials (e.g., dictionaries, glossaries, thesauruses), both print and digital, to find the pronunciation of a word or determine or clarify its precise meaning or its part of speech.

### Roots, Affixes and Syllables L.8.4b

Domain: Language
Theme: Vocabulary Acquisition and Use
Standard: Use common, grade-appropriate Greek or Latin affixes and roots as clues to the meaning of a word (e.g., precede, recede, secede).

### Interpreting Figures of Speech L.8.5a

Domain: Language
Theme: Vocabulary Acquisition and Use
Standard: Interpret figures of speech (e.g. verbal irony, puns) in context.

### Relationships Between Words L.8.5b

Domain: Language
Theme: Vocabulary Acquisition and Use
Standard: Use the relationship between particular words to better understand each of the words.

### Denotations and Connotations L.8.5c

Domain: Language
Theme: Vocabulary Acquisition and Use
Standard: Distinguish among the connotations (associations) of words with similar denotations (definitions) (e.g., bullheaded, willful, firm, persistent, resolute).

Test Taking Tips

Practice Tests

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